Hans Munthe-Kaas
Professor
Stillingsbeskrivelse
Beregningsmatematikk, differensialgeometri, algebra og kombinatorikk.
Senterleder Lie-Størmer Senter
Personlig hjemmeside http://hans.munthe-kaas.no
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
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. juli 2020 DOI
Hans Zanna Munthe-Kaas,
Ari Stern,
Olivier Verdier
:
Invariant connections, Lie algebra actions, and foundations of numerical integration on manifolds
Charles Henry Alexander Curry,
Kurusch Ebrahimi-Fard,
Hans Munthe-Kaas
:
What is a post-Lie algebra and why is it useful in geometric integration
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
Kurusch Ebrahimi-Fard,
Alexander Lundervold,
Igor Mencattini,
Hans Munthe-Kaas
:
Post-lie algebras and isospectral flows
Hans Munthe-Kaas,
Olivier Verdier
:
Aromatic Butcher Series
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
Alexander Lundervold,
Hans Munthe-Kaas
:
On algebraic structures of numerical integration on vector spaces and manifolds
European Mathematical Society (EMS) Press 2015 DOI
Ferenc Agoston Bartha,
Hans Munthe-Kaas
:
Computing of B-series by automatic differentiation
Discrete and Continuous Dynamical Systems. Series A 2014 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
Hans Munthe-Kaas,
Alexander Lundervold
:
On post-lie algebras, lie-butcher series and moving frames
Foundations of Computational Mathematics 2013 DOI
Alexander Lundervold,
Hans Munthe-Kaas
:
Backward Error Analysis and the Substitution Law for Lie Group Integrators
Foundations of Computational Mathematics 10. juli 2012 SAMMENDRAG / DOI
Hans Munthe-Kaas,
Tor Sørevik
:
Multidimensional pseudo-spectral methods on lattice grids
Applied Numerical Mathematics 2012 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
Snorre H Christiansen,
Hans Munthe-Kaas,
Brynjulf Owren
:
Topics in structure-preserving discretization
Acta Numerica 2011 DOI
Hans Munthe-Kaas,
Alexander Lundervold
:
Hopf algebras of formal diffeomorphisms and numerical integration on manifolds
Contemporary Mathematics 2011 OMTALE
Hans Munthe-Kaas,
Brett Nicholas Ryland
:
On Multivariate Chebyshev Polynomials and Spectral Approxi- mations on Triangles
Lecture Notes in Computational Science and Engineering 2011
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
Krister Åhlander,
Hans Munthe-Kaas
:
Eigenvalues for equivariant matrices
Journal of Computational and Applied Mathematics 2006 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. juni 2006
Hans Munthe-Kaas
:
On group Fourier analysis and symmetry preserving discretizations of PDEs
Krister Åhlander,
Hans Munthe-Kaas
:
Applications of the generalized Fourier transform in numerical linear algebra
BIT Numerical Mathematics 2005
Magne Haveraaen,
Helmer Andre Friis,
Hans Munthe-Kaas
:
Computable Scalar Fields: a basis for {PDE} software
Journal of Logic and Algebraic Programming 2005 DOI
Elena Celledoni,
Giulia Di Nunno,
Kurusch Ebrahimi-Fard,
Hans Munthe-Kaas
:
Computation and Combinatorics in Dynamics, Stochastics and Control
Springer 2018 DATA
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,
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,
Heidi Lie Andersen
:
Bergens nye attraksjon
29. september 2018
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
Hans Munthe-Kaas,
Olivier Verdier
:
Integrators on homogeneous spaces: Isotropy choice and connections
2014 FULLTEKST
Robert I. McLachlan,
Klas Modin,
Hans Munthe-Kaas,
Olivier Verdier
:
B-series methods are exactly the local, affine equivariant methods
2014 FULLTEKST
Antonella Zanna,
Hans Munthe-Kaas,
Reinout Quispel
:
Symmetries and reversing symmetries in differential equations and linear algebra
2014
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 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
2006 DATA
Robert, i Mclachlan,
Hans Munthe-Kaas,
Reinout Quispel,
Antonella Zanna
:
Explicit volume preserving methods for divergence-free polynomial vector fields
2006 DATA
Hans Munthe-Kaas,
Antonella Zanna
:
Numerical methods for the computation of exponential of matrices
01. januar 2003
Hans Munthe-Kaas,
Stein Krogstad,
Antonella Zanna
:
Generalized Polar Coordinates On Lie Groups And Numerical Integrators
2003 FULLTEKST
Hans Munthe-Kaas
:
On equivariance of numerical integrators
01. januar 2002
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Forskningsinteresser
Beregningsmatematikk: geometrisk integrasjon, Lie teori, anvendt gruppeteori, approksimasjonsteori, harmonisk analyse og signalbehandling
Differensialgeometri og algebra: algebraer av konneksjoner på mangfoldigheter, kombinatorikk for formelle løsninger av dynamiske systemer og strukturbevarende diskretiseringer