Adrien Laurent,
Hans Zanna Munthe-Kaas
:
The Universal Equivariance Properties of Exotic Aromatic B-Series
Foundations of Computational Mathematics 2024
ARKIV /
DOI
Hans Zanna Munthe-Kaas,
Jonatan Stava
:
Lie Admissible Triple Algebras: The Connection Algebra of Symmetric Spaces
SIGMA. Symmetry, Integrability and Geometry 2024
ARKIV /
DOI
Hans Zanna Munthe-Kaas
:
GEOMETRIC INTEGRATION ON SYMMETRIC SPACES
Journal of Computational Dynamics 2024
DOI
Elena Celledoni,
Hans Zanna Munthe-Kaas,
Brynjulf Rustad Owren,
Antonella Zanna Munthe-Kaas
:
PREFACE SPECIAL ISSUE ON MECHANICS, COMPUTATION AND THEIR MATH FOUNDATIONS. PART II
Journal of Computational Dynamics 2024
DOI
Elena Celledoni,
Hans Zanna Munthe-Kaas,
Brynjulf Rustad Owren,
Antonella Zanna Munthe-Kaas
:
PREFACE SPECIAL ISSUE ON MECHANICS, COMPUTATION AND THEIR MATH FOUNDATIONS. PART I
Journal of Computational Dynamics 2024
DOI
Erlend Grong,
Hans Zanna Munthe-Kaas,
Jonatan Stava
:
Post-Lie Algebra Structure of Manifolds with Constant Curvature and Torsion
Journal of Lie theory 2024
Adrien Ange Andre Laurent,
Robert I. Mclachlan,
Hans Zanna Munthe-Kaas,
Olivier Philippe Paul Verdier
:
The aromatic bicomplex for the description of divergence-free aromatic forms and volume-preserving integrators
Forum of Mathematics, Sigma 2023
ARKIV /
DOI
Gunnar Fløystad,
Hans Munthe-Kaas,
Dominique Manchon
:
The universal pre-Lie Rinehart algebras of aromatic trees
Springer Proceedings in Mathematics & Statistics 2021
DOI
Charles Henry Alexander Curry,
Kurusch Ebrahimi-Fard,
Dominique Manchon,
Hans Zanna Munthe-Kaas
:
Planarly branched rough paths and rough differential equations on homogeneous spaces
Journal of Differential Equations 07. Jul 2020
DOI
Hans Zanna Munthe-Kaas,
Ari Stern,
Olivier Verdier
:
Invariant connections, Lie algebra actions, and foundations of numerical integration on manifolds
SIAM Journal on applied algebra and geometry 2020
FULLTEKST /
DOI
Charles Henry Alexander Curry,
Kurusch Ebrahimi-Fard,
Hans Munthe-Kaas
:
What is a post-Lie algebra and why is it useful in geometric integration
Lecture Notes in Computational Science and Engineering 2019
ARKIV /
DOI
Gunnar Fløystad,
Hans Munthe-Kaas
:
Pre- and post-lie algebras: The algebro-geometric view
Hans Munthe-Kaas,
Kristoffer Kristiansen Føllesdal
:
Lie-Butcher series, Geometry, Algebra and Computation
Springer Proceedings in Mathematics & Statistics 2018
DOI
Kurusch Ebrahimi-Fard,
Igor Mencattini,
Hans Munthe-Kaas
:
Post-Lie algebras and factorization theorems
Hans Munthe-Kaas
:
Groups and symmetries in numerical linear algebra
Lecture notes in mathematics 2016
DOI
Hans Munthe-Kaas,
Olivier Verdier
:
Integrators on homogeneous spaces: Isotropy choice and connections
Foundations of Computational Mathematics 2016
FULLTEKST /
DOI
Hans Munthe-Kaas,
Olivier Verdier
:
Aromatic Butcher Series
Foundations of Computational Mathematics 2015
FULLTEKST /
DOI
Alexander Lundervold,
Hans Munthe-Kaas
:
On algebraic structures of numerical integration on vector spaces and manifolds
European Mathematical Society (EMS) Press 2015
DOI
Kurusch Ebrahimi-Fard,
Alexander Lundervold,
Hans Munthe-Kaas
:
On the Lie enveloping algebra of a post-Lie algebra
Journal of Lie theory 2015
Robert I. McLachlan,
Klas Modin,
Hans Munthe-Kaas,
Olivier Verdier
:
B-series methods are exactly the affine equivariant methods
Kurusch Ebrahimi-Fard,
Alexander Lundervold,
Igor Mencattini,
Hans Munthe-Kaas
:
Post-lie algebras and isospectral flows
SIGMA. Symmetry, Integrability and Geometry 2015
ARKIV /
DOI
Hans Munthe-Kaas,
Reinout Quispel,
Antonella Zanna
:
Symmetric spaces and Lie triple systems in numerical analysis of differential equations
BIT Numerical Mathematics 2014
DOI
Ferenc Agoston Bartha,
Hans Munthe-Kaas
:
Computing of B-series by automatic differentiation
Discrete and Continuous Dynamical Systems. Series A 2014
DOI
Alexander Lundervold,
Hans Munthe-Kaas
:
Backward Error Analysis and the Substitution Law for Lie Group Integrators
Foundations of Computational Mathematics 10. Jul 2012
SAMMENDRAG /
DOI
Hans Munthe-Kaas,
Alexander Lundervold
:
On post-lie algebras, lie-butcher series and moving frames
Foundations of Computational Mathematics 2013
DOI
Kurusch Ebrahimi-Fard,
Alexander Lundervold,
Simon J. A. Malham,
Hans Munthe-Kaas,
Anke Wiese
:
Algebraic structure of stochastic expansions and efficient simulation
Proceedings of the Royal Society. Mathematical, Physical and Engineering Sciences 2012
SAMMENDRAG /
DOI
Hans Munthe-Kaas,
Tor Sørevik
:
Multidimensional pseudo-spectral methods on lattice grids
Applied Numerical Mathematics 2012
DOI
Hans Munthe-Kaas,
Brett Nicholas Ryland
:
On Multivariate Chebyshev Polynomials and Spectral Approxi- mations on Triangles
Lecture Notes in Computational Science and Engineering 2011
Hans Munthe-Kaas,
Alexander Lundervold
:
Hopf algebras of formal diffeomorphisms and numerical integration on manifolds
Contemporary Mathematics 2011
OMTALE
Snorre H Christiansen,
Hans Munthe-Kaas,
Brynjulf Owren
:
Topics in structure-preserving discretization
Stein Krogstad,
Hans Munthe-Kaas,
Antonella Zanna
:
Generalized polar coordinates on Lie groups and numerical integrators
Numerische Mathematik 2009
DOI
Hans Munthe-Kaas,
Will M. Wright
:
On the Hopf algebraic structure of Lie group integrators
Foundations of Computational Mathematics 2008
DOI
Robert, i Mclachlan,
Hans Munthe-Kaas,
Reinout Quispel,
Antonella Zanna
:
Explicit Volume-Preserving Splitting Methods for Linear and Quadratic Divergence-Free Vector Fields
Foundations of Computational Mathematics 2008
DOI
Hans Munthe-Kaas
:
On group Fourier analysis and symmetry preserving discretizations of PDEs
Journal of Physics A: Mathematical and General 24. Apr 2006
DATA /
DOI
Jialin Hong,
Liu Ying,
Hans Munthe-Kaas,
Antonella Zanna
:
Globally conservative properties and error estimation of a multi-symplectic scheme for Schrödinger equations with variable coefficients
Applied Numerical Mathematics 01. Jun 2006
Albert Cohen,
Wolfgang Dahmen,
Hans Zanna Munthe-Kaas,
Martín Sombra,
Agnes Szanto
:
Correction to: Preface (Foundations of Computational Mathematics, (2019), 19, 5, (963-964), 10.1007/s10208-019-09434-y)
Foundations of Computational Mathematics 2021
DOI
Hans Munthe-Kaas,
Heidi Lie Andersen
:
Bergens nye attraksjon
29. Sep 2018
Hans Munthe-Kaas,
Alexander Lundervold
:
Correction to: On Post-Lie Algebras, Lie?Butcher Series and Moving Frames (Foundations of Computational Mathematics, (2013), 13, 4, (583-613), 10.1007/s10208-013-9167-7)
Foundations of Computational Mathematics 2018
DOI
Hans Munthe-Kaas
:
Geometry and algebra of Buther- and Lie-Butcher series
2015
Hans Munthe-Kaas
:
Numerical integration, structure preservation and combinatorics (4 hrs lectures)
2015
Hans Munthe-Kaas
:
Groups and symmetries in numerical linear algebra (6 hours lectures)
2015
Antonella Zanna,
Hans Munthe-Kaas,
Reinout Quispel
:
Symmetries and reversing symmetries in differential equations and linear algebra
2014
Robert I. McLachlan,
Klas Modin,
Hans Munthe-Kaas,
Olivier Verdier
:
B-series methods are exactly the local, affine equivariant methods
Hans Munthe-Kaas,
Olivier Verdier
:
Integrators on homogeneous spaces: Isotropy choice and connections
Hans Munthe-Kaas
:
On post-Lie algebras, Lie-Butcher series and moving frames
2013
Robert, i Mclachlan,
Hans Munthe-Kaas,
Reinout Quispel,
Antonella Zanna
:
Guest Editors' Preface
Foundations of Computational Mathematics 2008
DOI
Robert, i Mclachlan,
Hans Munthe-Kaas,
Reinout Quispel,
Antonella Zanna
:
Explicit volume preserving methods for divergence-free polynomial vector fields
Robert, i Mclachlan,
Hans Munthe-Kaas,
Reinout Quispel,
Antonella Zanna
:
Explicit, volume preserving splitting methods for divergence-free polynomial vector fields
2006
Robert, i Mclachlan,
Hans Munthe-Kaas,
Reinout Quispel,
Antonella Zanna
:
Volume preserving splitting methods for divergence free vector fields