Dechevski / Dechevsky, Lubomir Todorov; Payne, Kevin R; Popivanov, Nedyu. Nonexistence of Nontrivial Generalized Solutions for 2-D and 3-D BVPs with Nonlinear Mixed Type Equations. American Institute of Physics (AIP) 2017 (1910) ISBN 978-0-7354-1602-4. ISSN 0094-243X.s doi: 10.1063/1.5013982. Dechevski / Dechevsky, Lubomir Todorov; Sziebig, Gabor; Korondi, Peter. Optimizing the automation of an iron ore production line - a case study. Part I: optimal automated logistics. IEEE conference proceedings 2016 ISBN 978-1-5090-1797-3.s 735 - 744.s doi: 10.1109/epepemc.2016.7752087. Dechevski / Dechevsky, Lubomir Todorov; Sziebig, Gabor; Korondi, Peter. Optimizing the automation of an iron ore production line - a case study. Part II: optimal automated quality control. IEEE conference proceedings 2016 ISBN 978-1-5090-1797-3.s 746 - 754.s doi: 10.1109/epepemc.2016.7752088. Dechevski, Lubomir T.; Zanaty, Peter Balint. Beta-function B-spline Smoothing on Triangulations. Proceedings of SPIE, the International Society for Optical Engineering 2013; Volum 8650. ISSN 0277-786X.s doi: 10.1117/12.2007681. Zanaty, Peter Balint; Dechevski, Lubomir T.. On the numerical performance of FEM based on piecewise rational smooth resolutions of unity on triangulations. (http://scitation.aip.org/content/aip/proceeding/aipcp/10.1063/1.4854756) (Fulltekst: http://dx.doi.org/10.1063/1.4854756 American Institute of Physics (AIP) 2013 (1570) ISBN 978-07354-1198-2. ISSN 0094-243X.s 191 - 203.s doi: 10.1063/1.4854756. Dechevski, Lubomir T.; Zanaty, Peter Balint. Smooth GERBS, orthogonal systems and energy minimization. (http://scitation.aip.org/content/aip/proceeding/aipcp/10.1063/1.4854752) (Fulltekst: http://dx.doi.org/10.1063/1.4854752 American Institute of Physics (AIP) 2013 (1570) ISBN 978-07354-1198-2. ISSN 0094-243X.s 135 - 162.s doi: 10.1063/1.4854752. Dechevski, Lubomir T.; Zanaty, Peter Balint; Bang, Børre; Lakså, Arne. Smooth partition of unity with Hermite interpolation: applications to image processing. Proceedings of SPIE, the International Society for Optical Engineering 2012; Volum 8295. ISSN 0277-786X.s doi: 10.1117/12.909847. Dechevski, Lubomir T.. Interpolation of Wiener Amalgam Spaces and Associated Approximation Theory. Marin Drinov Academic Publishing House 2012 ISBN 978-954-322-490-6.s 403 - 406. Dechevski, Lubomir T.. Smooth Convex Resolution of Unity on General Partitions of Multidimensional Domains and Multivariate Hermite Interpolation on Scattered Point Sets Using Radial Generalized Expo-Rational B-splines. Marin Drinov Academic Publishing House 2012 ISBN 978-954-322-490-6.s 53 - 68. Dechevski, Lubomir T.; Bratlie, Jostein; Gundersen, Joakim. Index Mapping between Tensor-Product Wavelet Bases of Different Number of Variables, and Computing Multivariate Orthogonal Discrete Wavelet Transforms on Graphics Processing Units. (Omtale: http://link.springer.com/chapter/10.1007%2F978-3-642-29843-1_45?LI=true) Springer 2012 (7116) ISBN 978-3-642-29842-4. ISSN 0302-9743.s 402 - 410.s doi: 10.1007/978-3-642-29843-1_45. Dechevski, Lubomir T.; Georgiev, Georgi H.. Interpolation of Curvature and Torsion Using Expo-Rational B-Splines. Springer 2012 (7116) ISBN 978-3-642-29842-4. ISSN 0302-9743.s 411 - 419.s doi: 10.1007/978-3-642-29843-1_46. Dechevski, Lubomir T.; Uluchev, Rumen. Hermite Interpolation Using ERBS with Trigonometric Polynomial Local Functions. Springer 2012 (7116) ISBN 978-3-642-29842-4. ISSN 0302-9743.s 420 - 428.s doi: 10.1007/978-3-642-29843-1_47. Zanaty, Peter Balint; Dechevski, Lubomir T.. Smooth convex partition of unity on uniform triangulations with Hermite interpolation using radial ERBS. (http://proceedings.aip.org/resource/2/apcpcs/1497/1/190_1) (Fulltekst: http://dx.doi.org/10.1063/1.4766785 American Institute of Physics (AIP) 2012 (1497) ISBN 978-0-7354-1111-1. ISSN 0094-243X.s 190 - 198.s doi: 10.1063/1.4766785. Dechevski, Lubomir T.; Zanaty, Peter Balint. Triangular Beta-Function B-Spline Finite Elements: Evaluation and Graphical Comparisons. Springer 2012 (7116) ISBN 978-3-642-29842-4. ISSN 0302-9743.s 429 - 436.s doi: 10.1007/978-3-642-29843-1_48. Bang, Børre; Dechevski, Lubomir T.; Lakså, Arne; Zanaty, Peter Balint. Blending Functions for Hermite Interpolation by Beta-Function B-Splines on Triangulations. Springer 2012 (7116) ISBN 978-3-642-29842-4. ISSN 0302-9743.s 393 - 401.s doi: 10.1007/978-3-642-29843-1_44. Dechevski, Lubomir T.; Popivanov, Nedyu; Popov, Todor. Exact Asymptotic Expansion of Singular Solutions for the (2+1)-D Protter Problem. Abstract and Applied Analysis 2012. ISSN 1085-3375.s doi: 10.1155/2012/278542. Dechevski, Lubomir T.; Zanaty, Peter Balint; Lakså, Arne; Bang, Børre Egil Johan. First Instances of Generalized Expo‐Rational Finite Elements on Triangulations. (http://link.aip.org/link/?APC/1410/49/1) AIP Conference Proceedings 2011; Volum 1410 (1). ISSN 0094-243X.s 49 - 61.s doi: 10.1063/1.3664356. Dechevski, Lubomir T.; Zanaty, Peter Balint. Triangular Beta-Function B-Spline Finite Elements : Evaluation and Graphical Comparisons [abstract]. 2011. Dechevski, Lubomir T.; Uluchev, R. Hermite Interpolation using ERBS with Trigonometric Polynomial Local Functions [abstract]. 2011. Dechevski, Lubomir T.; Georgiev, G. Hermite Interpolation of Curvature and Torsion using Expo-Rational B-Splines [abstract}. 2011. Dechevski, Lubomir T.; Bratlie, Jostein; Gundersen, Joakim. Index Mapping between Tensor-Product Wavelet Bases of Different Number of Variables, and Computing Multivariate Orthogonal Discrete Wavelet Transforms on Graphics [abstract]. 2011. Dechevski, Lubomir T.; Bang, Børre; Lakså, Arne; Bratlie, Jostein. Solving Closest-Point Multidimensional Computational Geometric Problems on Graphics Proccesing Units [abstract]. 2011. Dechevski, Lubomir T.. Generalized Expo-Rational B-Splines and Iso-Geometric Analysis [abstract]. 2011.s 33 - 34. Dechevski, Lubomir T.. A new Type of Finite Elements over General Partitions of Multidimensional Domains [abstract]. 2011.s 18 - 18. Dechevski, Lubomir T.; Bratlie, Jostein; Bang, Børre Egil Johan; Lakså, Arne; Gundersen, Joakim. Wavelet-Based Lossless One-and Two-Dimensional Representation of Multidimensional Geometric Data. (Sammendrag: http://proceedings.aip.org/resource/2/apcpcs/1410/1/83_1?isAuthorized=no) AIP Conference Proceedings 2011; Volum 1410. ISSN 0094-243X.s 83 - 97.s doi: 10.1063/1.3664359. Kristoffersen, Arnt Roald; Dechevski, Lubomir T.; Lakså, Arne; Bang, Børre Egil Johan. Comparison between Polynomial, Euler Beta-Function and Expo-Rational B-Spline Bases. AIP Conference Proceedings 2011. ISSN 0094-243X.s 98 - 110.s doi: 10.1063/1.3664360. Dechevski, Lubomir T.; Bang, Børre Egil Johan; Lakså, Arne; Zanaty, Peter Balint. Multivariate Hermite interpolation on scattered point sets using tensor-product expo-rational B-splines. (http://link.aip.org/link/?APC/1410/62/1) AIP Conference Proceedings 2011; Volum 1410 (1). ISSN 0094-243X.s 62 - 75.s doi: 10.1063/1.3664357. Dechevski, Lubomir T.; Zanaty, Peter Balint. First Instances of Univariate and Tensor‐product Multivariate Generalized Expo‐Rational Finite Elements. (http://link.aip.org/link/?APC/1410/128/1) AIP Conference Proceedings 2011; Volum 1410 (1). ISSN 0094-243X.s 128 - 138.s doi: 10.1063/1.3664363. Dechevski, Lubomir T.. ERROR ESTIMATES BASED ON FULL DISCRETIZATION OF SEMI-DISCRETE FINITE DIFFERENCE SCHEMES. Comptes Rendus de l'Academie Bulgare des Sciences 2010; Volum 63 (6). ISSN 1310-1331.s 849 - 858. Dechevski, Lubomir; Lakså, Arne; Gundersen, Joakim; Bang, Børre; Kristoffersen, Arnt Roald; Zanaty, Peter Balint. Vertex-based "marching" algorithms for finding multidimensional geometric intersections. Proceedings of SPIE, the International Society for Optical Engineering 2010; Volum 7798. ISSN 0277-786X.s doi: 10.1117/12.860220. Dechevski, Lubomir T.; Lakså, Arne; Bang, Børre Egil Johan; Gundersen, Joakim; Kristoffersen, Arnt Roald; Zanaty, Peter Balint. Vertex-based "marching" algorithms for finding multidimensional geometric intersections. Proceedings of SPIE, the International Society for Optical Engineering 2010; Volum 7798. ISSN 0277-786X.s doi: 10.1117/12.860220. Gundersen, Joakim; Kristoffersen, Arnt Roald; Dechevski, Lubomir T.. Comparison between the Marching-cube and the Marching-simplex method. Lecture Notes in Computer Science (LNCS) 2010 (5910). ISSN 0302-9743.s 756 - 764. Dechevski, Lubomir T.; Gundersen, Joakim; Grip, Niklas. Wavelet compression, data fitting and approximation based on adaptive composition of Lorentz-type thresholding and Besov-type non-threshold shrinkage. Lecture Notes in Computer Science (LNCS) 2010 (5910). ISSN 0302-9743.s 738 - 746. Dechevski, Lubomir T.; Bang, Børre Egil Johan; Gundersen, Joakim; Lakså, Arne; Kristoffersen, Arnt Roald. Solving non-linear systems of equations on graphics processing units. Lecture Notes in Computer Science (LNCS) 2010 (5910). ISSN 0302-9743.s 719 - 729. Dechevski, Lubomir T.; Gundersen, Joakim; Bang, Børre Egil Johan. Computing n-variate orthogonal discrete wavelet transforms on graphics processing units. Lecture Notes in Computer Science (LNCS) 2010 (5910). ISSN 0302-9743.s 730 - 737. Dechevski, Lubomir T.. Smooth convex resolution of unity and/or scattered-point hermite interpolation by generalized expo-rational B-splines. II: Star-shaped covers. International Journal of Pure and Applied Mathematics 2010; Volum 65 (4). ISSN 1311-8080.s 413 - 460. Lakså, Arne; Bang, Børre; Dechevski, Lubomir T.. Geometric modelling with Beta-function B-splines. II: Tensor-product parametric surfaces. International Journal of Pure and Applied Mathematics 2010; Volum 65 (3). ISSN 1311-8080.s 362 - 380. Lakså, Arne; Bang, Børre; Dechevski, Lubomir T.. Geometric modelling with Beta-function B-splines. I: Parametric curves. International Journal of Pure and Applied Mathematics 2010; Volum 65 (3). ISSN 1311-8080.s 339 - 360. Dechevski, Lubomir T.. Smooth convex resolution of unity and/or scattered-point hermite interpolation by generalized expo-rational B-splines. I: General simply connected covers and partitions. International Journal of Pure and Applied Mathematics 2010; Volum 65 (4). ISSN 1311-8080.s 391 - 412. Dechevski, Lubomir T.. Evaluation of Beta-function B-splines . III: Global monomial bases. International Journal of Pure and Applied Mathematics 2010; Volum 65 (3). ISSN 1311-8080.s 323 - 338. Dechevski, Lubomir T.. Evaluation of Beta-function B-splines . II: Local Bernstein bases. International Journal of Pure and Applied Mathematics 2010; Volum 65 (3). ISSN 1311-8080.s 311 - 322. Dechevski, Lubomir T.. Evaluation of Beta-function B-splines . I: Local monomial bases. International Journal of Pure and Applied Mathematics 2010; Volum 65 (3). ISSN 1311-8080.s 297 - 310. Dechevski, Lubomir T.. Beta-function B-splines : definition and basic properties. International Journal of Pure and Applied Mathematics 2010; Volum 65 (3). ISSN 1311-8080.s 279 - 295. Dechevski, Lubomir T.; Kachkovskiy, Ilya. Sharp Estimates of the Constants of Equivalence Between Integral Moduli of Smoothness and K-functionals in the Multivariate Case. Constructive approximation 2010; Volum 32 (1). ISSN 0176-4276.s 77 - 90.s doi: 10.1007/s00365-009-9044-4. Dechevski, Lubomir T.; Bang, Børre; Lakså, Arne. Generalized expo-rational B-splines. International Journal of Pure and Applied Mathematics 2009; Volum 57 (6). ISSN 1311-8080.s 833 - 872. Dechevski, Lubomir T.. On error estimation for approximation methods involving domain discretization. VIII: Deterministic problems VII. Fully discrete finite difference schemes for linear PDEs. II: Estimates in terms of properties of the problem's data functions I: Homogeneous boundary conditions. International Journal of Pure and Applied Mathematics 2009; Volum 57 (6). ISSN 1311-8080.s 789 - 831. Dechevski, Lubomir T.. On error estimation for approximation methods involving domain discretization. VII: Deterministic problems VI. Fully discrete finite difference schemes for linear PDEs. III: Estimates in terms of properties of the solution. International Journal of Pure and Applied Mathematics 2009; Volum 57 (5). ISSN 1311-8080.s 761 - 787. Dechevski, Lubomir T.. On error estimation for approximation methods involving domain discretization. VI: Deterministic problems V. Fully discrete finite difference schemes for linear ODEs. III: Estimates in terms of properties of the problem's data functions. II: Inhomogenous boundary conditions. International Journal of Pure and Applied Mathematics 2009; Volum 57 (5). ISSN 1311-8080.s 733 - 759. Dechevski, Lubomir T.. On error estimation for approximation methods involving domain discretization. V: Deterministic problems IV. Fully discrete finite difference schemes for linear ODEs. II: Estimates in terms of properties of the problem's data functions. I: Homogenous boundary conditions. International Journal of Pure and Applied Mathematics 2009; Volum 57 (5). ISSN 1311-8080.s 687 - 732. Dechevski, Lubomir T.. On error estimation for approximation methods involving domain discretization. IV: Deterministic problems III. Fully discrete finite difference schemes for linear ODEs. I: Estimates in terms of properties of the solution. International Journal of Pure and Applied Mathematics 2009; Volum 57 (5). ISSN 1311-8080.s 669 - 685. Dechevski, Lubomir T.. On error estimation for approximation methods involving domain discretization. III: Deterministic problems II. Full discretization of semi-discrete finite difference schemes for linear evolutionary PDEs. II: The general, possibly non-parabolic, case. International Journal of Pure and Applied Mathematics 2009; Volum 57 (5). ISSN 1311-8080.s 653 - 668. Dechevski, Lubomir T.. On error estimation for approximation methods involving domain discretization. II: Deterministic problems I. Full discretization of semi-discrete finite difference schemes for linear evolutionary PDEs. I: The parabolic case. International Journal of Pure and Applied Mathematics 2009; Volum 57 (5). ISSN 1311-8080.s 629 - 651. Dechevski, Lubomir T.. On error estimation for approximation methods involving domain discretization. I: Problem setting. International Journal of Pure and Applied Mathematics 2009; Volum 57 (5). ISSN 1311-8080.s 605 - 627. Gundersen, Joakim; Dechevski, Lubomir T.. On the scientific visualization of complex-valued functions of one complex variable. Springer 2009 (1184) ISBN 978-0-7354-0750-3. ISSN 0094-243X.s 322 - 332. Dechevski, Lubomir T.; Grip, Niklas. Relations between functional norms of a non-negative function and its square root on the positive cone of Besov and Triebel-Lizorkin spaces. Springer 2009 (1184) ISBN 978-0-7354-0750-3. ISSN 0094-243X.s 3 - 15. Dechevski, Lubomir T.; Bu, Xian Feng; Bang, Børre; Lakså, Arne. Variational calculus and multigrid dynamical programming on expo-rational tensor-product surfaces. International Journal of Pure and Applied Mathematics 2009; Volum 51 (4). ISSN 1311-8080.s 567 - 595. Dechevski, Lubomir T.; MacGibbon, Brenda. Asymptotically minimax non-parametric function estimation with positivity constraints. International Journal of Pure and Applied Mathematics 2009; Volum 57 (2). ISSN 1311-8080.s 165 - 199. Dechevski, Lubomir T.; MacGibbon, Brenda. Asymptotically minimax non-parametric function estimation with positivity constraints I. Statistics (Berlin) 2009; Volum 43 (5). ISSN 0233-1888.s 423 - 442.s doi: 10.1080/02331880802497363. Dechevski, Lubomir T.; Popivanov, Nedyu. Quasilinear equations of elliptic-hyperbolic type : critical 2D case for nontrivial solutions. Comptes Rendus de l'Academie Bulgare des Sciences 2008; Volum 61 (11). ISSN 1310-1331.s 1385 - 1392. Dechevski, Lubomir T.; Popivanov, Nedyu. MORAWETZ-PROTTER 3D PROBLEM FOR QUASILINEAR EQUATIONS OF ELLIPTIC-HYPERBOLIC TYPE. CRITICAL AND SUPERCRITICAL CASES. Comptes Rendus de l'Academie Bulgare des Sciences 2008; Volum 61 (12). ISSN 1310-1331.s 1501 - 1508. Dechevski, Lubomir T.. Concluding remarks to paper properties of function spaces generated by the averaged moduli of smoothness. International Journal of Pure and Applied Mathematics 2008; Volum 49 (1). ISSN 1311-8080.s 147 - 152. Dechevski, Lubomir T.; Popianov, Nedyu. QUASILINEAR EQUATIONS OF ELLIPTIC-HYPERBOLIC TYPE. CRITICAL 2D CASE FOR NONTRIVIAL SOLUTIONS. Comptes Rendus de l'Academie Bulgare des Sciences 2008; Volum 61 (11). ISSN 1310-1331.s 1385 - 1392. Dechevski, Lubomir T.; Kachkovskiy, Ilya V.. ON THE SHARP CONSTANTS OF EQUIVALENCE BETWEEN INTEGRAL MODULI OF SMOOTHNESS AND K-FUNCTIONALS IN THE MULTIVARIATE CASE. Comptes Rendus de l'Academie Bulgare des Sciences 2008; Volum 61 (11). ISSN 1310-1331.s 1371 - 1376. Dechevski, Lubomir T.; Popianov, Nedyu. Morawetz-Protter 3D problem for quasilinear equations of elliptic-hyperbolic type. Critical and supercritical cases. Comptes Rendus de l'Academie Bulgare des Sciences 2008; Volum 61 (12). ISSN 1310-1331.s 1501 - 1508. Dechevski, Lubomir T.; Gundersen, Joakim; Kristoffersen, Arnt R.. Wavelet-based isometric conversion between dimension and resolution : applications. 2007.s 13 - 15. Dechevski, Lubomir T.; Grip, Niklas; Gundersen, Joakim. A new generation of wavelet shrinkage. 2007.s 10 - 12. Dechevski, Lubomir T.. Properties of function spaces generated by the averaged moduli of smoothness. International Journal of Pure and Applied Mathematics 2007; Volum 41 (9). ISSN 1311-8080.s 1305 - 1378. Dechevski, Lubomir T.; Gundersen, Joakim. Scientific visualization for PDEs of 2nd order : IV: Comparison between the continual and the discrete boundary value problem. International Journal of Pure and Applied Mathematics 2007; Volum 41 (9). ISSN 1311-8080.s 1289 - 1302. Dechevski, Lubomir T.; Gundersen, Joakim. Scientific visualization for PDEs of 2nd order : III: Comparative visualization of solutions for elliptic, parabolic, hyperbolic and mixed-type cases. International Journal of Pure and Applied Mathematics 2007; Volum 41 (9). ISSN 1311-8080.s 1277 - 1288. Dechevski, Lubomir T.; Gundersen, Joakim. Scientific visualization for PDEs of 2nd order : II: Comparative visualization of the Green's functions for elliptic, parabolic and hyperbolic cases. International Journal of Pure and Applied Mathematics 2007; Volum 41 (9). ISSN 1311-8080.s 1261 - 1275. Dechevski, Lubomir T.; Gundersen, Joakim. Scientific visualization for PDEs of 2nd order : I: Problem setting and data generation. International Journal of Pure and Applied Mathematics 2007; Volum 41 (9). ISSN 1311-8080.s 1219 - 1259. Gundersen, Joakim; Dechevski, Lubomir T.. Scientific visualization for the ODE-based simulator BedSim of LKAB. International Journal of Pure and Applied Mathematics 2007; Volum 41 (9). ISSN 1311-8080.s 1197 - 1217. Dechevski, Lubomir T.. Nearly degenerating multigrid finite and boundary element methods versus lacunary wavelet-based methods of approximation. (Omtale: http://spiedigitallibrary.aip.org/dbt/dbt.jsp?KEY=PSISDG&Volume=6763&Issue=1&bproc=volrange&code=6700?-?6799&start_at=61) SPIE - International Society for Optical Engineering 2007 (vol. 6763).s 67630 - . Dechevski, Lubomir T.. Shape-preserving wavelet approximation: state of the art and ongoing research. (Omtale: http://spiedigitallibrary.aip.org/dbt/dbt.jsp?KEY=PSISDG&Volume=6763&Issue=1&bproc=volrange&code=6700?-?6799&start_at=61) SPIE - International Society for Optical Engineering 2007 (vol. 6763).s 67630 - . Dechevski, Lubomir T.; Gundersen, Joakim; Kristoffersen, Arnt R.. Wavelet-based isometric conversion between dimension and resolution and some of its applications. (Omtale: http://spiedigitallibrary.aip.org/dbt/dbt.jsp?KEY=PSISDG&Volume=6763&Issue=1&bproc=volrange&code=6700?-?6799&start_at=61) SPIE - International Society for Optical Engineering 2007 (vol. 6763).s 67630 - . Dechevski, Lubomir T.; Quak, Ewald Gunther; Bang, Børre; Lakså, Arne; Kristoffersen, Arnt R.. Expo-rational spline multiwavelets: a first overview of definitions, properties, generalizations and applications. (Omtale: http://spiedigitallibrary.aip.org/dbt/dbt.jsp?KEY=PSISDG&Volume=6763&Issue=1&bproc=volrange&code=6700?-?6799&start_at=61) SPIE - International Society for Optical Engineering 2007 (vol. 6763).s 676308 - . Dechevski, Lubomir T.; Grip, Niklas; Gundersen, Joakim. A new generation of wavelet shrinkage: adaptive strategies based on composition of Lorentz-type thresholding and Besov-type non-threshold shrinkage. (Omtale: http://spiedigitallibrary.aip.org/dbt/dbt.jsp?KEY=PSISDG&Volume=6763&Issue=1&bproc=volrange&code=6700?-?6799&start_at=61) SPIE - International Society for Optical Engineering 2007 (Vol. 6763).s 676304 - . Dechevski, Lubomir T.; Quak, Ewald Gunther; Bang, Børre; Lakså, Arne; Kristoffersen, Arnt R.. Expo-rational spline multiwavelets. 2007.s 17 - 21. Dechevski, Lubomir T.; Wendland, Wolfgang L.. On the Bramble-Hilbert lemma, II: an improved estimate of the embedding constant. International Journal of Pure and Applied Mathematics 2006; Volum Volume 33 (No. 4). ISSN 1311-8080.s 433 - 464. Dechevski, Lubomir T.; Kristoffersen, Arnt R.; Gundersen, Joakim; Lakså, Arne; Bang, Børre; Dokken, Tor. A "marching simplex" algorithm for approximate solution of non-linear systems of equations and applications to branching of solutions and intersection problems. International Journal of Pure and Applied Mathematics 2006; Volum Volume 33 (No. 3). ISSN 1311-8080.s 407 - 431. Dechevski, Lubomir T.; Gulliksen, L. Michael. Application of a multigrid dynamical programming algorithm to optimal parametrization, and a model solution of an industrial problem. International Journal of Pure and Applied Mathematics 2006; Volum Volume 33 (No. 3). ISSN 1311-8080.s 381 - 406. Dechevski, Lubomir T.; Wendland, Wolfgang L.. On the Bramble-Hilbert lemma, II: model applications to quasi-interpolation and linear problems. International Journal of Pure and Applied Mathematics 2006; Volum Volume 33 (No. 4). ISSN 1311-8080.s 465 - 501. Dechevski, Lubomir T.; Wendland, Wolfgang L.. On the Bramble-Hilbert lemma, II: a model application to non-linear operator equations. International Journal of Pure and Applied Mathematics 2006; Volum Volume 33 (No. 4). ISSN 1311-8080.s 503 - 528. Kristoffersen, Arnt R.; Georgiev, Dimiter T.; Dechevski, Lubomir T.; Lakså, Arne; Gundersen, Joakim; Bang, Børre. Vertex versus pixel based intersection: using the GPU for investigation of surface intersections. International Journal of Pure and Applied Mathematics 2006; Volum Volume 33 (No. 3). ISSN 1311-8080.s 345 - 365. Dechevski, Lubomir T.. Explicit computation of the K-functional between semi-Hilbert spaces. International Journal of Pure and Applied Mathematics 2006; Volum 33 (No. 3). ISSN 1311-8080.s 287 - 332. Dechevski, Lubomir T.; MacGibbon, Brenda. Cross validation in Besov spaces for multivariate density estimation and nonparametric regression with random design. International Journal of Pure and Applied Mathematics 2006; Volum 33 (2). ISSN 1311-8080.s 225 - 256. Dechevski, Lubomir T.; Gulliksen, L. Michael. A multigrid dynamical programming algorithm for discrete dynamical systems and its applications to numerical computation of global geodesics. International Journal of Pure and Applied Mathematics 2006; Volum 33 (2). ISSN 1311-8080.s 257 - 285. Dechevski, Lubomir T.. The sharp constants of equivalence between integral moduli of smoothness and k-functionals. International Journal of Pure and Applied Mathematics 2006; Volum 33 (2). ISSN 1311-8080.s 157 - 186. Dechevski, Lubomir T.. Best lacunary approximation of solutions of nonlinear operator equations and atomic decomposition of interpolation spaces. International Journal of Pure and Applied Mathematics 2006; Volum 33 (1). ISSN 1311-8080.s 13 - 48. Dechevski, Lubomir T.; Lakså, Arne; Bang, Børre. Nuerbs form of expo-rational B-splines. International Journal of Pure and Applied Mathematics 2006; Volum 32 (1). ISSN 1311-8080.s 1 - 22. Dechevski, Lubomir T.; Lakså, Arne; Bang, Børre. Expo-rational B-splines. International Journal of Pure and Applied Mathematics 2006; Volum 27 (3). ISSN 1311-8080.s 319 - 367. Dechevski, Lubomir T.; Gundersen, Joakim. Isometric conversion between dimension and resolution. 2005 ISBN 0-9728482-4-X.s 103 - 114. Moguchaya, Tatiana N.; Gundersen, Joakim; Grip, Niklas; Dechevski, Lubomir T.; Bang, Børre; Lakså, Arne; Quak, Ewald Gunther; Tong, Bowei. Data fitting by wavelet shrinkage using GM-waves. 2005 ISBN 0-9728482-4-X.s 263 - 274. Lakså, Arne; Bang, Børre; Dechevski, Lubomir T.. Exploring expo-rational B-splines for curves and surfaces. 2005 ISBN 0-9728482-4-X.s 253 - 262. Dechevski, Lubomir T.; Grip, Niklas; Persson, Lars-Erik. Sharp error estimates for approximation by wavelet frames in Lebesgue spaces. Journal of Analysis and Applications 2003; Volum 1 (1). ISSN 0972-5954.s 11 - 31. Dechevski, Lubomir T.. Integral representation of local and global diffeomorphisms. (Omtale: http://www.sciencedirect.com) Nonlinear Analysis: Real world applications 2003; Volum 4 (2). ISSN 1468-1218.s 203 - 221.
Zanaty, Peter Balint; Dechevski, Lubomir T.. Application of Generalized Expo-Rational B-splines in Computer Aided Design and Analysis. 2014 (1493). ISSN 1501-7710.
Dechevski, Lubomir T.; Bratlie, Jostein; Gundersen, Joakim. Mapping Tensor-product Wavelet Bases and GPGPU-computing of DWTs [abstract]. International Conference on Applied Harmonic Analysis and Multiscale Computing (Omtale: http://www.pims.math.ca/scientific-event/110725-icahamc) 2011-07-25 - 2011-07-28 2011.
Dechevski, Lubomir T.; Zanaty, Péter. First instances of generalized expo-rational finite elements. 2010.s 1 - .
Kristoffersen, Arnt R.; Dechevski, Lubomir T.; Lakså, Arne; Bang, Børre. First instances of generalized expo-rational B-splines : Euler Beta-function B-splines. 2010.s 1 - .
Dechevski, Lubomir T.; Bratlie, Jostein; Bang, Børre; Gundersen, Joakim. First instances of a lossless one- and two-dimensional representations of multidimensional geometric data, with applications to GPU-programming. 2010.s 1 - .
Dechevski, Lubomir T.; Lakså, Arne; Bang, Børre; Zanaty, Péter. First instances of generalized expo-rational finite elements on triangulations. 2010.s 82 - 82.
Dechevski, Lubomir T.; Lakså, Arne; Bang, Børre; Kristoffersen, Arnt R.. First instances of generalized expo-rational B-splines on triangulations. 2010.s 45 - 45.
Kristoffersen, Arnt R.; Dechevski, Lubomir T.; Lakså, Arne; Bang, Børre. Comparison between polynominal and expo-rational B-spline bases. 2010.s 44 - 44.
Dechevski, Lubomir T.; Bratlie, Jostein; Bang, Børre; Lakså, Arne; Gundersen, Joakim. Wavelet-based lossless one- and two-dimensional representation of multidimensional geometric data. 2010.s 13 - 14.
Dechevski, Lubomir T.; Bang, Børre; Lakså, Arne; Kristoffersen, Arnt R.. Multivariate hermite interpolation in scattered point sets using tensor-product expo-rational B-splines. 2010.s 5 - 6.
Dechevski, Lubomir T.. Smooth convex resolution of unity on general partitions of multidimensional domains using generalized expo-rational B-splines, and application to multivariate approximation and Hermite interpolation on scattered point sets. 2010.s 17 - 17.
Dechevski, Lubomir T.. Matrix-valued polynomial hermite interpolation and the Cauchy-Riesz-Dunford operator integral in the finite-dimensional case. 2010.s 20 - 20.
Dechevski, Lubomir T.. On error estimation for approximation methods involving domain discretization XII: Comparison between estimates in continual and discrete metrics. 2010.s 5 - 5.
Gundersen, Joakim; Dechevski, Lubomir T.. On the scientific visualization of complex-valued functions of one complex variable. 2009 (4/2009). ISSN 1890-923X.
Dechevski, Lubomir T.; Bang, Børre; Lakså, Arne. Generalized expo-rational B-splines. 2009 (10/2009). ISSN 1890-923X.
Dechevski, Lubomir T.. On error estimation for approximation methods involving domain discretization VIII: Deterministic problems VII. Fully discrete finite difference schemes for linear PDEs II: estimates in terms of the problem's data functions I: homogeneous boundary conditions. 2009 (18/2009). ISSN 1890-923X.
Dechevski, Lubomir T.; Lakså, Arne; Bang, Børre. Estimating the error of approximation of expo-rational B-splines by Romberg numerical quadratures : [abstract]. 2009.s 1 - .
Dechevski, Lubomir T.. Generalized expo-rational B-splines : an overview of theory and applications [abstract]. 2009.s 1 - .
Gundersen, Joakim; Kristoffersen, Arnt R.; Dechevski, Lubomir T.. Comparison between the Marching-cube and the Marching-Simplex methods. 2009.s 1 - .
Dechevski, Lubomir T.; Gundersen, Joakim; Grip, Niklas. Wavelet compression, data fitting and approximation based on adaptive composition of Lorentz-type thresholding and Besov-type non-threshold shrinkage [abstract]. 2009.s 1 - .
Dechevski, Lubomir T.. Explicit computation of the Cauchy-Riesz-Dunford operator integral in the finite-dimensional case : [abstract]. First international conference on application of mathematics in technical and natural sciences 2009-06-22 - 2009-06-27 2009.
Dechevski, Lubomir T.; MacGibbon, Brenda. Asymptotically minimax non-parametric function estimation with positivity constraints : the general case of variable order constraints. 2009 (G-2009-72).
Dechevski, Lubomir T.. On error estimation for approximation methods involving domain discretization VII: Deterministic problems VI. Fully discrete finite difference schemes for linear PDEs I: estimates in terms of properties of the solution. 2009 (17/2009). ISSN 1890-923X.
Dechevski, Lubomir T.. On error estimation for approximation methods involving domain discretization VI: Deterministic problems V. Fully discrete finite difference schemes for linear ODEs III: estimates in terms of properties of the problem's data functions II: inhomogeneous boundary conditions. 2009 (16/2009). ISSN 1890-923X.
Dechevski, Lubomir T.. On error estimation for approximation methods involving domain discretization V: Deterministic problems IV. Fully discrete finite difference schemes for linear ODEs II: estimates in terms of properties of the problem's data functions I: homogeneous boundary conditions. 2009 (15/2009). ISSN 1890-923X.
Dechevski, Lubomir T.. On error estimation for approximation methods involving domain discretization IV: Deterministic problems III. Fully discrete finite difference schemes for linear ODEs I: estimates in terms of properties of the solution. 2009 (14/2009). ISSN 1890-923X.
Dechevski, Lubomir T.. On error estimation for approximation methods involving domain discretization III: Deterministic problems II. Full discretization of semi-discrete finite difference schemes for linear evolutionary PDEs. II the general, possibly non-parabolic, case. 2009 (13/2009). ISSN 1890-923X.
Dechevski, Lubomir T.. On error estimation for approximation methods involving domain discretization II: Deterministic problems I. Full discretization of semi-discrete finite difference schemes for linear evolutionary PDEs I: the parabolic case. 2009 (12). ISSN 1890-923X.
Dechevski, Lubomir T.. On error estimation for approximation methods involving domain discretization I: problem setting. 2009 (11). ISSN 1890-923X.
Dechevski, Lubomir T.; Gundersen, Joakim; Bang, Børre. Computing n-variate orthogonal discrete wavelet transforms on graphics processing units (GPUs). 2009 (08/2009). ISSN 1890-923X.
Dechevski, Lubomir T.; Bang, Børre; Gundersen, Joakim; Lakså, Arne; Kristoffersen, Arnt R.. Solving non-linear systems of equations on graphics processing units (GPUs). 2009 (7/2009). ISSN 1890-923X.
Gundersen, Joakim; Kristoffersen, Arnt R.; Dechevski, Lubomir T.. Comparison between the marching-cube and the marching-simplex methods. 2009 (6/2009). ISSN 1890-923X.
Dechevski, Lubomir T.; Gundersen, Joakim; Grip, Niklas. Wavelet compression, data fitting and approximation based on adaptive composition of Lorentz-type thresholding and Besov-type non-threshold shrinkage. 2009 (05/2009). ISSN 1890-923X.
Dechevski, Lubomir T.. Properties of function spaces generated by the averaged moduli of smoothness. 2008 (No. 1/2008). ISSN 1890-923X.
Dechevski, Lubomir T.; Pichkaleva, Olga L.. Generalized expo-rational B-splines and finite element methods for ODEs : [abstract]. 2008.s 72 - .
Bang, Børre; Dechevski, Lubomir T.; Kristoffersen, Arnt R.; Lakså, Arne. Generalized expo-rational B-splines for curves, surfaces, volume deformations and n-dimensional geometric modelling : [abstract]. 2008.s 60 - .
Dechevski, Lubomir T.; Kachkovskiy, Ilya V.. Sharp estimates of the constants of equivalence between integral moduli of smoothness and K-functionals in the multivariate case. 2008.s 57 - .
Dechevski, Lubomir T.; Gundersen, Joakim. Computing n-variate orthogonal discrete wavelet transforms on the GPU : [abstract]. 2008.s 47 - .
Dechevski, Lubomir T.. Generalized expo-rational B-splines. 2008.s 38 - .
Bang, Børre; Dechevski, Lubomir T.; Gundersen, Joakim; Kristoffersen, Arnt R.; Lakså, Arne. Computing multivariate intersections on the GPU : [abstract]. 2008.s 27 - .
Dechevski, Lubomir T.. Multigrid dynamic programming and expo-rational B-splines for optimal control of constrained dynamical systems. 2008.s 40 - .
Dechevski, Lubomir T.; Wendland, Wolfgang L.. On the Bramble-Hilbert Lemma, II. 2007 (2007/002).
Dechevski, Lubomir T.; Gundersen, Joakim. Scientific visualization for PDEs of 2nd order : IV: Comparison between the continual and the discrete boundary value problem. 2007 (No. 15/2007). ISSN 1504-4653.
Dechevski, Lubomir T.; Gundersen, Joakim. Scientific visualization for PDEs of 2nd order : III: Comparative visualization of solutions for elliptic, parabolic, hyperbolic and mixed-type cases. 2007 (No. 14/2007). ISSN 1504-4653.
Dechevski, Lubomir T.; Gundersen, Joakim. Scientific visualization for PDEs of 2nd order : II: Comparative visualization of the Green's functions for elliptic, parabolic and hyperbolic cases. 2007 (No. 13/2007). ISSN 1504-4653.
Dechevski, Lubomir T.; Gundersen, Joakim. Scientific visualization for PDEs of 2nd order : I: Problem setting and data generation. 2007 (No. 12/2007). ISSN 1504-4653.
Gundersen, Joakim; Dechevski, Lubomir T.. Scientific visualization for the ODE-based simulator BedSim of LKAB. 2007 (No. 11/2007). ISSN 1504-4653.
Dechevski, Lubomir T.. Nearly degenerating multigrid finite and boundary element methods versus lacunary wavelet-based methods of approximation. 2007 (10/2007). ISSN 1504-4653.
Dechevski, Lubomir T.. Shape-preserving wavelet approximation : state of the art and ongoing research. 2007 (9/2007). ISSN 1504-4653.
Dechevski, Lubomir T.; Gundersen, Joakim; Kristoffersen, Arnt R.. Wavelet-based isometric conversion between dimension and resolution and some of its applications. 2007 (8/2007). ISSN 1504-4653.
Dechevski, Lubomir T.; Quak, Ewald Gunther; Bang, Børre; Lakså, Arne; Kristoffersen, Arnt R.. Expo-rational spline multiwavelets : a first overview of definitions, properties, generalizations and applications. 2007 (No. 7/2007). ISSN 1504-4653.
Dechevski, Lubomir T.; Grip, Niklas; Gundersen, Joakim. A new generation of wavelet shrinkage : adaptive strategies based on composition of Lorentz-type thresholding and Besov-type non-threshold shrinkage. 2007 (No. 6/2007). ISSN 1504-4653.
Dechevski, Lubomir T.; Lakså, Arne; Bang, Børre. Introduction to generalized expo-rational B-splines. 2007 (No. 5/2007). ISSN 1504-4653.
Dechevski, Lubomir T.; Bang, Børre; Lakså, Arne; Bu, Xian Feng. Variational calculus and multigrid dynamical programming on Expo-Rational Surfaces and Volume deformations : theory and applications. 2007 (No. 4/2007). ISSN 1504-4653.
Dechevski, Lubomir T.; Bang, Børre; Bu, Xian Feng; Lakså, Arne. Variational calculus and multigrid dynamical programming on expo-rational surfaces and volume deformations: theory and applications : [abstract]. 2007.
Dechevski, Lubomir T.. Expo-rational B-splines of a complex variable and their applications : [abstract]. 2007.
Dechevski, Lubomir T.; Lakså, Arne; Bang, Børre. Generalized expo-rational B-splines : [abstract]. 2007.
Dechevski, Lubomir T.. Wavelet-based multilevel neural networks: paradigms and prospective applications. Wavelet Applications in Industrial Processing V (Omtale: http://spie.org/Documents/ConferencesExhibitions/Optics-East-07-Final.pdf) 2007-09-11 - 2007-09-12 2007.
Popivanov, Nedyu; Dechevski, Lubomir T.. Guderley-Morawetz-Protter boundary problem for weakly hyperbolic equations, nonexistence for supercritical exponent. 2007 (vol. 4).s 455 - .
Dechevski, Lubomir T.; Lakså, Arne; Bang, Børre. Approximation error of expo-rational B-spline interpolation, II: Euler-McLaurin interpolation and sampling theory. 2007 (vol. 1).s 103 - .
Dechevski, Lubomir T.; Lakså, Arne; Bang, Børre; Kristoffersen, Arnt R.. Approximation error of expo-rational B-spline interpolation, I: Lagrange, Hermite and Birkhoff interpolation. 2007 (vol. 1).s 102 - .
Dechevski, Lubomir T.; Lakså, Arne; Bang, Børre. Evaluation of expo-rational B-splines by numerical quadratures, II: Gaussian quadratures. 2007 (vol. 1).s 117 - 117.
Dechevski, Lubomir T.; Lakså, Arne; Bang, Børre. Evaluation of expo-rational B-splines by numerical quadratures, I: Romberg integration. 2007 (vol. 1).s 100 - .
Dechevski, Lubomir T.; Grip, Niklas. Relations between functional norms of a non-negative function and its square root on the positive cone of Besov and Triebel-Lzorkin spaces. 2007 (vol. 1).s 98 - 99.
Dechevski, Lubomir T.. Global non-smooth constrained optimization via asymptotic expansion of integrals depending on a large parameter, II: Computation of the extreme set. 2007 (vol. 1).s 96 - 97.
Dechevski, Lubomir T.. Global non-smooth constrained optimization via asymptotic expansion of integrals depending on a large parameter, I: Computation of the extreme value. 2007 (vol. 1).s 94 - 95.
Dechevski, Lubomir T.. Atomic decomposition of Wiener amalgam spaces. 2007 (vol. 5).s 569 - 570.
Dechevski, Lubomir T.. K-functionals between semi-Hilbert spaces and uniformly convex Banach spaces with constraints. 2007 (vol. 5).s 567 - 568.
Dechevski, Lubomir T.; Shamaev, Alexei S.. An operator-calculus approach to reducing linear ode/pde problems to integral equations and some of its applications : I: Initial-value problems for ode. 2007 (vol. 5).s 566 - .
Dechevski, Lubomir T.; Lyalinov, M. A.. Scattering diagram of the wave from a local default of periodicity of an impedance-strip reflecting grating. 2007 (vol. 5).s 565 - .
Babich, Vasiliy M.; Dechevski, Lubomir T.; Kachalov, Alexander P.; Samokish, Boris A.. Matrix Wiener-Hopp problems and Fredholm integral equations. 2007 (Vol. 5).s 557 - 558.
Dechevski, Lubomir T.. GLOBAL OPTIMIZATION OF NON-SMOOTH FUNCTIONALS WITH NON-SMOOTH CONSTRAINTS VIA ASYMPTOTIC ANALYSIS OF NONLINEAR INTEGRAL OPERATORS DEPENDING ON A LARGE PARAMETER. 2006 (Volume 1).s 71 - 72.
Dechevski, Lubomir T.; Gulliksen, L. Michael. A model solution of an industrial problem about optimal parametrization via multigrid dynamical programming. 2006 (12/2006). ISSN 1504-4653.
Dechevski, Lubomir T.; Gulliksen, L. Michael. Numerical computation of geodesics by multigrid dynamical programming. 2006 (11/2006). ISSN 1504-4653.
Dechevski, Lubomir T.; Kristoffersen, Arnt R.; Gundersen, Joakim; Lakså, Arne; Bang, Børre; Dokken, Tor. A simplectification method for approximate solution of non-linear systems of equations: theory and applications to branching of solutions and intersections of implicit manifolds. 2006 (10/2006). ISSN 1504-4653.
Kristoffersen, Arnt R.; Georgiev, Dimiter T.; Dechevski, Lubomir T.; Lakså, Arne; Gundersen, Joakim; Bang, Børre. Vertex versus pixel based intersection: CPU versus GPU in investigation of surface intersections. 2006 (No. 9/2006). ISSN 1504-4653.
Dechevski, Lubomir T.; MacGibbon, Brenda. Bowman-Rudemo cross validation in B22^(sigma)-spaces for multivariate density estimation and nonparametric regression with random design. 2006 (8/2006). ISSN 1504-4653.
Dechevski, Lubomir T.; Wendland, Wolfgang L.. A model application of an enhanced version of the Bramble-Hilbert lemma to non-linear operator equations. 2006 (7/2006). ISSN 1504-4653.
Dechevski, Lubomir T.; Wendland, Wolfgang L.. Model applications of an enhanced version of the Bramble-Hilbert lemma to quasi-interpolation and linear problems. 2006 (6/2006). ISSN 1504-4653.
Dechevski, Lubomir T.; Wendland, Wolfgang L.. Sharpening the Bramble-Hilbert lemma. 2006 (5). ISSN 1504-4653.
Dechevski, Lubomir T.. Best approximation of solutions of nonlinear operator equations by multiresolution methods. 2006 (No. 4/2006). ISSN 1504-4653.
Dechevski, Lubomir T.. Explicit computation of the K-functional between semi-Hilbert spaces and uniformly convex Banach spaces. 2006 (3). ISSN 1504-4653.
Dechevski, Lubomir T.. Sharp estimates of the constants of equivalence between integral moduli of smoothness and K-functionals. 2006 (2/2006). ISSN 1504-4653.
Dechevski, Lubomir T.. Wavelets and their applications in deterministic and statistical data processing. - 2006-04-19 - 2006-04-19 2006.
Dechevski, Lubomir T.. Best approximation of solutions of nonlinear operator equations and atomic decomposition of interpolation space : [abstract]. (Omtale: http://www.ams.org/amsmtgs/2129_special.html) 2006.
Dechevski, Lubomir T.; Popianov, Nedyu; Popov, Todor. Asymptotic expansions of singular solutions of Protter problem. 2006 (1/2006). ISSN 1504-4653.
Dechevski, Lubomir T.. Near degenerate Finite and Boundary Element. Methods versus Lacunary Wavelet-based Methods of Approximation and Applications to Solving Operator Equations : [abstract]. 2006.s 6 - 7.
Dechevski, Lubomir T.; Bang, Børre; Lakså, Arne. Expo-rational Bezier Triangular Patches and Expo-rational B-splines on Triangulations: Theoretical Observations and Algorithmic and Software Implementation : [abstract]. 2006.
Dechevski, Lubomir T.; Gundersen, Joakim. Isometric Conversion between Dimension and Resolution and its Applications to the Use of Computer Graphics Cards as General-purpose Computational Devices. 2006.
Dechevski, Lubomir T.; Popivanov, Nedyu. Guderley-Morawetz-Protter boundary problem for semilinear weakly hyperbolic equations, supercritical exponent and Hardy inequalities. 2006.s 15 - 16.
Dechevski, Lubomir T.; Popivanov, Nedyu; Popov, Todor. Singular and classic solutions of 3 - D Protter problem. 2006.
Dechevski, Lubomir T.; Popivanov, Nedyu; Popov, Todor. Singular and classic solutions of 3 - D Protter problem. Bulgarian-Norwegian workshop, nonlinear problems of mathematical physics, numerical simulations and visualization 2006-07-28 - 2006-07-28 2006.
Dechevski, Lubomir T.. Near degenerate Finite and Boundary Element. Methods versus Lacunary Wavelet-based Methods of Approximation and Applications to Solving Operator Equations. Bulgarian-Norwegian workshop, nonlinear problems of mathematical physics, numerical simulations and visualization 2006-07-28 - 2006-07-28 2006.
Dechevski, Lubomir T.; Popianov, Nedyu; Popov, Todor. Asymptotic expansions of singular solutions of Protter problem. 2005 (6/2005). ISSN 1504-4653.
Dechevski, Lubomir T.; Lakså, Arne; Bang, Børre. Expo-rational B-splines. 2005 (1/2005). ISSN 1504-4653.
Dechevski, Lubomir T.; Lakså, Arne; Bang, Børre. NUERBS form of expo-rational B-splines. 2004 (1/2004). ISSN 1504-4653.
Moguchaya, Tatiana N.; Gundersen, Joakim; Grip, Niklas; Dechevski, Lubomir T.; Bang, Børre; Lakså, Arne; Quak, Ewald Gunther; Tong, Bowei. Curve and surface fitting by wavelet shrinkage using GM.waves. 2004 (6/2004). ISSN 1504-4653.
Kristoffersen, Arnt R.; Dechevski, Lubomir T.; Dokken, Tor; Lakså, Arne. Approximate solution of non-linear systems of equations by piecewise linearization and applications to branching of solutions and intersection problems for curves and surfaces. 2004 (5/2004). ISSN 1504-4653.
Dechevski, Lubomir T.; Gulliksen, L. Michael. A multigrid global optimization algorithm for discrete dynamical systems : applications to numerical solutions of variational problems in CAGD. 2004 (4/2004). ISSN 1504-4653.
Dechevski, Lubomir T.; Gundersen, Joakim. From dynamical visualization of large 3D and 4D geometrical data sets to isometric conversion between dimension and resolution. 2004 (3/2004). ISSN 1504-4653.
Lakså, Arne; Bang, Børre; Dechevski, Lubomir T.. Exploring expo-rational B-splines for curves and surfaces. 2004 (2/2004). ISSN 1504-4653.
Dechevski, Lubomir T.; Grip, Niklas; Persson, Lars-Erik. Sharp error estimates for approximation by wavelet frames in Lebesque, Besov and Triebel-Lizorkin spaces. 2002 (52002-5) ISBN 8278230994. ISSN 0806-2005.
Dechevski, Lubomir T.. Interpolation inequalities for intermediate derivatives and inverse inequalities for piecewise algebraic polynomials. 2002 (2002-6) ISBN 8278231001. ISSN 0806-2005.
Zanaty, Peter Balint; Dechevski, Lubomir T.. Application of Generalized Expo-Rational B-splines in Computer Aided Design and Analysis. 2014 (1493). ISSN 1501-7710.
Dechevski, Lubomir T.; Bratlie, Jostein; Gundersen, Joakim. Mapping Tensor-product Wavelet Bases and GPGPU-computing of DWTs [abstract]. International Conference on Applied Harmonic Analysis and Multiscale Computing (Omtale: http://www.pims.math.ca/scientific-event/110725-icahamc) 2011-07-25 - 2011-07-28 2011.
Dechevski, Lubomir T.; Zanaty, Péter. First instances of generalized expo-rational finite elements. 2010.s 1 - .
Kristoffersen, Arnt R.; Dechevski, Lubomir T.; Lakså, Arne; Bang, Børre. First instances of generalized expo-rational B-splines : Euler Beta-function B-splines. 2010.s 1 - .
Dechevski, Lubomir T.; Bratlie, Jostein; Bang, Børre; Gundersen, Joakim. First instances of a lossless one- and two-dimensional representations of multidimensional geometric data, with applications to GPU-programming. 2010.s 1 - .
Dechevski, Lubomir T.; Lakså, Arne; Bang, Børre; Zanaty, Péter. First instances of generalized expo-rational finite elements on triangulations. 2010.s 82 - 82.
Dechevski, Lubomir T.; Lakså, Arne; Bang, Børre; Kristoffersen, Arnt R.. First instances of generalized expo-rational B-splines on triangulations. 2010.s 45 - 45.
Kristoffersen, Arnt R.; Dechevski, Lubomir T.; Lakså, Arne; Bang, Børre. Comparison between polynominal and expo-rational B-spline bases. 2010.s 44 - 44.
Dechevski, Lubomir T.; Bratlie, Jostein; Bang, Børre; Lakså, Arne; Gundersen, Joakim. Wavelet-based lossless one- and two-dimensional representation of multidimensional geometric data. 2010.s 13 - 14.
Dechevski, Lubomir T.; Bang, Børre; Lakså, Arne; Kristoffersen, Arnt R.. Multivariate hermite interpolation in scattered point sets using tensor-product expo-rational B-splines. 2010.s 5 - 6.
Dechevski, Lubomir T.. Smooth convex resolution of unity on general partitions of multidimensional domains using generalized expo-rational B-splines, and application to multivariate approximation and Hermite interpolation on scattered point sets. 2010.s 17 - 17.
Dechevski, Lubomir T.. Matrix-valued polynomial hermite interpolation and the Cauchy-Riesz-Dunford operator integral in the finite-dimensional case. 2010.s 20 - 20.
Dechevski, Lubomir T.. On error estimation for approximation methods involving domain discretization XII: Comparison between estimates in continual and discrete metrics. 2010.s 5 - 5.
Gundersen, Joakim; Dechevski, Lubomir T.. On the scientific visualization of complex-valued functions of one complex variable. 2009 (4/2009). ISSN 1890-923X.
Dechevski, Lubomir T.; Bang, Børre; Lakså, Arne. Generalized expo-rational B-splines. 2009 (10/2009). ISSN 1890-923X.
Dechevski, Lubomir T.. On error estimation for approximation methods involving domain discretization VIII: Deterministic problems VII. Fully discrete finite difference schemes for linear PDEs II: estimates in terms of the problem's data functions I: homogeneous boundary conditions. 2009 (18/2009). ISSN 1890-923X.
Dechevski, Lubomir T.; Lakså, Arne; Bang, Børre. Estimating the error of approximation of expo-rational B-splines by Romberg numerical quadratures : [abstract]. 2009.s 1 - .
Dechevski, Lubomir T.. Generalized expo-rational B-splines : an overview of theory and applications [abstract]. 2009.s 1 - .
Gundersen, Joakim; Kristoffersen, Arnt R.; Dechevski, Lubomir T.. Comparison between the Marching-cube and the Marching-Simplex methods. 2009.s 1 - .
Dechevski, Lubomir T.; Gundersen, Joakim; Grip, Niklas. Wavelet compression, data fitting and approximation based on adaptive composition of Lorentz-type thresholding and Besov-type non-threshold shrinkage [abstract]. 2009.s 1 - .
Dechevski, Lubomir T.. Explicit computation of the Cauchy-Riesz-Dunford operator integral in the finite-dimensional case : [abstract]. First international conference on application of mathematics in technical and natural sciences 2009-06-22 - 2009-06-27 2009.
Dechevski, Lubomir T.; MacGibbon, Brenda. Asymptotically minimax non-parametric function estimation with positivity constraints : the general case of variable order constraints. 2009 (G-2009-72).
Dechevski, Lubomir T.. On error estimation for approximation methods involving domain discretization VII: Deterministic problems VI. Fully discrete finite difference schemes for linear PDEs I: estimates in terms of properties of the solution. 2009 (17/2009). ISSN 1890-923X.
Dechevski, Lubomir T.. On error estimation for approximation methods involving domain discretization VI: Deterministic problems V. Fully discrete finite difference schemes for linear ODEs III: estimates in terms of properties of the problem's data functions II: inhomogeneous boundary conditions. 2009 (16/2009). ISSN 1890-923X.
Dechevski, Lubomir T.. On error estimation for approximation methods involving domain discretization V: Deterministic problems IV. Fully discrete finite difference schemes for linear ODEs II: estimates in terms of properties of the problem's data functions I: homogeneous boundary conditions. 2009 (15/2009). ISSN 1890-923X.
Dechevski, Lubomir T.. On error estimation for approximation methods involving domain discretization IV: Deterministic problems III. Fully discrete finite difference schemes for linear ODEs I: estimates in terms of properties of the solution. 2009 (14/2009). ISSN 1890-923X.
Dechevski, Lubomir T.. On error estimation for approximation methods involving domain discretization III: Deterministic problems II. Full discretization of semi-discrete finite difference schemes for linear evolutionary PDEs. II the general, possibly non-parabolic, case. 2009 (13/2009). ISSN 1890-923X.
Dechevski, Lubomir T.. On error estimation for approximation methods involving domain discretization II: Deterministic problems I. Full discretization of semi-discrete finite difference schemes for linear evolutionary PDEs I: the parabolic case. 2009 (12). ISSN 1890-923X.
Dechevski, Lubomir T.. On error estimation for approximation methods involving domain discretization I: problem setting. 2009 (11). ISSN 1890-923X.
Dechevski, Lubomir T.; Gundersen, Joakim; Bang, Børre. Computing n-variate orthogonal discrete wavelet transforms on graphics processing units (GPUs). 2009 (08/2009). ISSN 1890-923X.
Dechevski, Lubomir T.; Bang, Børre; Gundersen, Joakim; Lakså, Arne; Kristoffersen, Arnt R.. Solving non-linear systems of equations on graphics processing units (GPUs). 2009 (7/2009). ISSN 1890-923X.
Gundersen, Joakim; Kristoffersen, Arnt R.; Dechevski, Lubomir T.. Comparison between the marching-cube and the marching-simplex methods. 2009 (6/2009). ISSN 1890-923X.
Dechevski, Lubomir T.; Gundersen, Joakim; Grip, Niklas. Wavelet compression, data fitting and approximation based on adaptive composition of Lorentz-type thresholding and Besov-type non-threshold shrinkage. 2009 (05/2009). ISSN 1890-923X.
Dechevski, Lubomir T.. Properties of function spaces generated by the averaged moduli of smoothness. 2008 (No. 1/2008). ISSN 1890-923X.
Dechevski, Lubomir T.; Pichkaleva, Olga L.. Generalized expo-rational B-splines and finite element methods for ODEs : [abstract]. 2008.s 72 - .
Bang, Børre; Dechevski, Lubomir T.; Kristoffersen, Arnt R.; Lakså, Arne. Generalized expo-rational B-splines for curves, surfaces, volume deformations and n-dimensional geometric modelling : [abstract]. 2008.s 60 - .
Dechevski, Lubomir T.; Kachkovskiy, Ilya V.. Sharp estimates of the constants of equivalence between integral moduli of smoothness and K-functionals in the multivariate case. 2008.s 57 - .
Dechevski, Lubomir T.; Gundersen, Joakim. Computing n-variate orthogonal discrete wavelet transforms on the GPU : [abstract]. 2008.s 47 - .
Dechevski, Lubomir T.. Generalized expo-rational B-splines. 2008.s 38 - .
Bang, Børre; Dechevski, Lubomir T.; Gundersen, Joakim; Kristoffersen, Arnt R.; Lakså, Arne. Computing multivariate intersections on the GPU : [abstract]. 2008.s 27 - .
Dechevski, Lubomir T.. Multigrid dynamic programming and expo-rational B-splines for optimal control of constrained dynamical systems. 2008.s 40 - .
Dechevski, Lubomir T.; Wendland, Wolfgang L.. On the Bramble-Hilbert Lemma, II. 2007 (2007/002).
Dechevski, Lubomir T.; Gundersen, Joakim. Scientific visualization for PDEs of 2nd order : IV: Comparison between the continual and the discrete boundary value problem. 2007 (No. 15/2007). ISSN 1504-4653.
Dechevski, Lubomir T.; Gundersen, Joakim. Scientific visualization for PDEs of 2nd order : III: Comparative visualization of solutions for elliptic, parabolic, hyperbolic and mixed-type cases. 2007 (No. 14/2007). ISSN 1504-4653.
Dechevski, Lubomir T.; Gundersen, Joakim. Scientific visualization for PDEs of 2nd order : II: Comparative visualization of the Green's functions for elliptic, parabolic and hyperbolic cases. 2007 (No. 13/2007). ISSN 1504-4653.
Dechevski, Lubomir T.; Gundersen, Joakim. Scientific visualization for PDEs of 2nd order : I: Problem setting and data generation. 2007 (No. 12/2007). ISSN 1504-4653.
Gundersen, Joakim; Dechevski, Lubomir T.. Scientific visualization for the ODE-based simulator BedSim of LKAB. 2007 (No. 11/2007). ISSN 1504-4653.
Dechevski, Lubomir T.. Nearly degenerating multigrid finite and boundary element methods versus lacunary wavelet-based methods of approximation. 2007 (10/2007). ISSN 1504-4653.
Dechevski, Lubomir T.. Shape-preserving wavelet approximation : state of the art and ongoing research. 2007 (9/2007). ISSN 1504-4653.
Dechevski, Lubomir T.; Gundersen, Joakim; Kristoffersen, Arnt R.. Wavelet-based isometric conversion between dimension and resolution and some of its applications. 2007 (8/2007). ISSN 1504-4653.
Dechevski, Lubomir T.; Quak, Ewald Gunther; Bang, Børre; Lakså, Arne; Kristoffersen, Arnt R.. Expo-rational spline multiwavelets : a first overview of definitions, properties, generalizations and applications. 2007 (No. 7/2007). ISSN 1504-4653.
Dechevski, Lubomir T.; Grip, Niklas; Gundersen, Joakim. A new generation of wavelet shrinkage : adaptive strategies based on composition of Lorentz-type thresholding and Besov-type non-threshold shrinkage. 2007 (No. 6/2007). ISSN 1504-4653.
Dechevski, Lubomir T.; Lakså, Arne; Bang, Børre. Introduction to generalized expo-rational B-splines. 2007 (No. 5/2007). ISSN 1504-4653.
Dechevski, Lubomir T.; Bang, Børre; Lakså, Arne; Bu, Xian Feng. Variational calculus and multigrid dynamical programming on Expo-Rational Surfaces and Volume deformations : theory and applications. 2007 (No. 4/2007). ISSN 1504-4653.
Dechevski, Lubomir T.; Bang, Børre; Bu, Xian Feng; Lakså, Arne. Variational calculus and multigrid dynamical programming on expo-rational surfaces and volume deformations: theory and applications : [abstract]. 2007.
Dechevski, Lubomir T.. Expo-rational B-splines of a complex variable and their applications : [abstract]. 2007.
Dechevski, Lubomir T.; Lakså, Arne; Bang, Børre. Generalized expo-rational B-splines : [abstract]. 2007.
Dechevski, Lubomir T.. Wavelet-based multilevel neural networks: paradigms and prospective applications. Wavelet Applications in Industrial Processing V (Omtale: http://spie.org/Documents/ConferencesExhibitions/Optics-East-07-Final.pdf) 2007-09-11 - 2007-09-12 2007.
Popivanov, Nedyu; Dechevski, Lubomir T.. Guderley-Morawetz-Protter boundary problem for weakly hyperbolic equations, nonexistence for supercritical exponent. 2007 (vol. 4).s 455 - .
Dechevski, Lubomir T.; Lakså, Arne; Bang, Børre. Approximation error of expo-rational B-spline interpolation, II: Euler-McLaurin interpolation and sampling theory. 2007 (vol. 1).s 103 - .
Dechevski, Lubomir T.; Lakså, Arne; Bang, Børre; Kristoffersen, Arnt R.. Approximation error of expo-rational B-spline interpolation, I: Lagrange, Hermite and Birkhoff interpolation. 2007 (vol. 1).s 102 - .
Dechevski, Lubomir T.; Lakså, Arne; Bang, Børre. Evaluation of expo-rational B-splines by numerical quadratures, II: Gaussian quadratures. 2007 (vol. 1).s 117 - 117.
Dechevski, Lubomir T.; Lakså, Arne; Bang, Børre. Evaluation of expo-rational B-splines by numerical quadratures, I: Romberg integration. 2007 (vol. 1).s 100 - .
Dechevski, Lubomir T.; Grip, Niklas. Relations between functional norms of a non-negative function and its square root on the positive cone of Besov and Triebel-Lzorkin spaces. 2007 (vol. 1).s 98 - 99.
Dechevski, Lubomir T.. Global non-smooth constrained optimization via asymptotic expansion of integrals depending on a large parameter, II: Computation of the extreme set. 2007 (vol. 1).s 96 - 97.
Dechevski, Lubomir T.. Global non-smooth constrained optimization via asymptotic expansion of integrals depending on a large parameter, I: Computation of the extreme value. 2007 (vol. 1).s 94 - 95.
Dechevski, Lubomir T.. Atomic decomposition of Wiener amalgam spaces. 2007 (vol. 5).s 569 - 570.
Dechevski, Lubomir T.. K-functionals between semi-Hilbert spaces and uniformly convex Banach spaces with constraints. 2007 (vol. 5).s 567 - 568.
Dechevski, Lubomir T.; Shamaev, Alexei S.. An operator-calculus approach to reducing linear ode/pde problems to integral equations and some of its applications : I: Initial-value problems for ode. 2007 (vol. 5).s 566 - .
Dechevski, Lubomir T.; Lyalinov, M. A.. Scattering diagram of the wave from a local default of periodicity of an impedance-strip reflecting grating. 2007 (vol. 5).s 565 - .
Babich, Vasiliy M.; Dechevski, Lubomir T.; Kachalov, Alexander P.; Samokish, Boris A.. Matrix Wiener-Hopp problems and Fredholm integral equations. 2007 (Vol. 5).s 557 - 558.
Dechevski, Lubomir T.. GLOBAL OPTIMIZATION OF NON-SMOOTH FUNCTIONALS WITH NON-SMOOTH CONSTRAINTS VIA ASYMPTOTIC ANALYSIS OF NONLINEAR INTEGRAL OPERATORS DEPENDING ON A LARGE PARAMETER. 2006 (Volume 1).s 71 - 72.
Dechevski, Lubomir T.; Gulliksen, L. Michael. A model solution of an industrial problem about optimal parametrization via multigrid dynamical programming. 2006 (12/2006). ISSN 1504-4653.
Dechevski, Lubomir T.; Gulliksen, L. Michael. Numerical computation of geodesics by multigrid dynamical programming. 2006 (11/2006). ISSN 1504-4653.
Dechevski, Lubomir T.; Kristoffersen, Arnt R.; Gundersen, Joakim; Lakså, Arne; Bang, Børre; Dokken, Tor. A simplectification method for approximate solution of non-linear systems of equations: theory and applications to branching of solutions and intersections of implicit manifolds. 2006 (10/2006). ISSN 1504-4653.
Kristoffersen, Arnt R.; Georgiev, Dimiter T.; Dechevski, Lubomir T.; Lakså, Arne; Gundersen, Joakim; Bang, Børre. Vertex versus pixel based intersection: CPU versus GPU in investigation of surface intersections. 2006 (No. 9/2006). ISSN 1504-4653.
Dechevski, Lubomir T.; MacGibbon, Brenda. Bowman-Rudemo cross validation in B22^(sigma)-spaces for multivariate density estimation and nonparametric regression with random design. 2006 (8/2006). ISSN 1504-4653.
Dechevski, Lubomir T.; Wendland, Wolfgang L.. A model application of an enhanced version of the Bramble-Hilbert lemma to non-linear operator equations. 2006 (7/2006). ISSN 1504-4653.
Dechevski, Lubomir T.; Wendland, Wolfgang L.. Model applications of an enhanced version of the Bramble-Hilbert lemma to quasi-interpolation and linear problems. 2006 (6/2006). ISSN 1504-4653.
Dechevski, Lubomir T.; Wendland, Wolfgang L.. Sharpening the Bramble-Hilbert lemma. 2006 (5). ISSN 1504-4653.
Dechevski, Lubomir T.. Best approximation of solutions of nonlinear operator equations by multiresolution methods. 2006 (No. 4/2006). ISSN 1504-4653.
Dechevski, Lubomir T.. Explicit computation of the K-functional between semi-Hilbert spaces and uniformly convex Banach spaces. 2006 (3). ISSN 1504-4653.
Dechevski, Lubomir T.. Sharp estimates of the constants of equivalence between integral moduli of smoothness and K-functionals. 2006 (2/2006). ISSN 1504-4653.
Dechevski, Lubomir T.. Wavelets and their applications in deterministic and statistical data processing. - 2006-04-19 - 2006-04-19 2006.
Dechevski, Lubomir T.. Best approximation of solutions of nonlinear operator equations and atomic decomposition of interpolation space : [abstract]. (Omtale: http://www.ams.org/amsmtgs/2129_special.html) 2006.
Dechevski, Lubomir T.; Popianov, Nedyu; Popov, Todor. Asymptotic expansions of singular solutions of Protter problem. 2006 (1/2006). ISSN 1504-4653.
Dechevski, Lubomir T.. Near degenerate Finite and Boundary Element. Methods versus Lacunary Wavelet-based Methods of Approximation and Applications to Solving Operator Equations : [abstract]. 2006.s 6 - 7.
Dechevski, Lubomir T.; Bang, Børre; Lakså, Arne. Expo-rational Bezier Triangular Patches and Expo-rational B-splines on Triangulations: Theoretical Observations and Algorithmic and Software Implementation : [abstract]. 2006.
Dechevski, Lubomir T.; Gundersen, Joakim. Isometric Conversion between Dimension and Resolution and its Applications to the Use of Computer Graphics Cards as General-purpose Computational Devices. 2006.
Dechevski, Lubomir T.; Popivanov, Nedyu. Guderley-Morawetz-Protter boundary problem for semilinear weakly hyperbolic equations, supercritical exponent and Hardy inequalities. 2006.s 15 - 16.
Dechevski, Lubomir T.; Popivanov, Nedyu; Popov, Todor. Singular and classic solutions of 3 - D Protter problem. 2006.
Dechevski, Lubomir T.; Popivanov, Nedyu; Popov, Todor. Singular and classic solutions of 3 - D Protter problem. Bulgarian-Norwegian workshop, nonlinear problems of mathematical physics, numerical simulations and visualization 2006-07-28 - 2006-07-28 2006.
Dechevski, Lubomir T.. Near degenerate Finite and Boundary Element. Methods versus Lacunary Wavelet-based Methods of Approximation and Applications to Solving Operator Equations. Bulgarian-Norwegian workshop, nonlinear problems of mathematical physics, numerical simulations and visualization 2006-07-28 - 2006-07-28 2006.
Dechevski, Lubomir T.; Popianov, Nedyu; Popov, Todor. Asymptotic expansions of singular solutions of Protter problem. 2005 (6/2005). ISSN 1504-4653.
Dechevski, Lubomir T.; Lakså, Arne; Bang, Børre. Expo-rational B-splines. 2005 (1/2005). ISSN 1504-4653.
Dechevski, Lubomir T.; Lakså, Arne; Bang, Børre. NUERBS form of expo-rational B-splines. 2004 (1/2004). ISSN 1504-4653.
Moguchaya, Tatiana N.; Gundersen, Joakim; Grip, Niklas; Dechevski, Lubomir T.; Bang, Børre; Lakså, Arne; Quak, Ewald Gunther; Tong, Bowei. Curve and surface fitting by wavelet shrinkage using GM.waves. 2004 (6/2004). ISSN 1504-4653.
Kristoffersen, Arnt R.; Dechevski, Lubomir T.; Dokken, Tor; Lakså, Arne. Approximate solution of non-linear systems of equations by piecewise linearization and applications to branching of solutions and intersection problems for curves and surfaces. 2004 (5/2004). ISSN 1504-4653.
Dechevski, Lubomir T.; Gulliksen, L. Michael. A multigrid global optimization algorithm for discrete dynamical systems : applications to numerical solutions of variational problems in CAGD. 2004 (4/2004). ISSN 1504-4653.
Dechevski, Lubomir T.; Gundersen, Joakim. From dynamical visualization of large 3D and 4D geometrical data sets to isometric conversion between dimension and resolution. 2004 (3/2004). ISSN 1504-4653.
Lakså, Arne; Bang, Børre; Dechevski, Lubomir T.. Exploring expo-rational B-splines for curves and surfaces. 2004 (2/2004). ISSN 1504-4653.
Dechevski, Lubomir T.; Grip, Niklas; Persson, Lars-Erik. Sharp error estimates for approximation by wavelet frames in Lebesque, Besov and Triebel-Lizorkin spaces. 2002 (52002-5) ISBN 8278230994. ISSN 0806-2005.
Dechevski, Lubomir T.. Interpolation inequalities for intermediate derivatives and inverse inequalities for piecewise algebraic polynomials. 2002 (2002-6) ISBN 8278231001. ISSN 0806-2005.
