Hans Munthe-Kaas
Job description
Beregningsmatematikk, differensialgeometri, algebra og kombinatorikk.
Senterleder Lie-Størmer Senter
Personlig hjemmeside http://hans.munthe-kaas.no
Mahdi Jasim Hasan,
Kurusch,
Dominique,
Hans Zanna
:
Algebraic aspects of connections: From torsion, curvature, and post-Lie algebras to Gavrilov’s double exponential and special polynomials
Journal of Noncommutative Geometry 2025 DOI
Hans Zanna
:
GEOMETRIC INTEGRATION ON SYMMETRIC SPACES
Erlend,
Hans Zanna,
Jonatan
:
Post-Lie Algebra Structure of Manifolds with Constant Curvature and Torsion
Journal of Lie theory 2024
Hans Zanna,
Jonatan
:
Lie Admissible Triple Algebras: The Connection Algebra of Symmetric Spaces
Adrien,
Hans Zanna
:
The Universal Equivariance Properties of Exotic Aromatic B-Series
Adrien Ange Andre,
Robert I.,
Hans Zanna,
Olivier Philippe Paul
:
The aromatic bicomplex for the description of divergence-free aromatic forms and volume-preserving integrators
Gunnar,
Hans,
Dominique
:
The universal pre-Lie Rinehart algebras of aromatic trees
Springer Proceedings in Mathematics & Statistics 2021 DOI
Charles Henry Alexander,
Kurusch,
Dominique,
Hans Zanna
:
Planarly branched rough paths and rough differential equations on homogeneous spaces
Journal of Differential Equations 07. julio 2020 DOI
Hans Zanna,
Ari,
Olivier
:
Invariant connections, Lie algebra actions, and foundations of numerical integration on manifolds
Charles Henry Alexander,
Kurusch,
Hans
:
What is a post-Lie algebra and why is it useful in geometric integration
Gunnar,
Hans
:
Pre- and post-lie algebras: The algebro-geometric view
Hans,
Kristoffer Kristiansen
:
Lie-Butcher series, Geometry, Algebra and Computation
Springer Proceedings in Mathematics & Statistics 2018 DOI
Kurusch,
Igor,
Hans
:
Post-Lie algebras and factorization theorems
Hans,
Olivier
:
Integrators on homogeneous spaces: Isotropy choice and connections
Hans
:
Groups and symmetries in numerical linear algebra
Lecture notes in mathematics 2016 DOI
Kurusch,
Alexander,
Igor,
Hans
:
Post-lie algebras and isospectral flows
Kurusch,
Alexander,
Hans
:
On the Lie enveloping algebra of a post-Lie algebra
Journal of Lie theory 2015
Alexander,
Hans
:
On algebraic structures of numerical integration on vector spaces and manifolds
2015 DOI
Robert I.,
Klas,
Hans,
Olivier
:
B-series methods are exactly the affine equivariant methods
Hans,
Olivier
:
Aromatic Butcher Series
Ferenc Agoston,
Hans
:
Computing of B-series by automatic differentiation
Discrete and Continuous Dynamical Systems. Series A 2014 DOI
Hans,
Reinout,
Antonella
:
Symmetric spaces and Lie triple systems in numerical analysis of differential equations
BIT Numerical Mathematics 2014 DOI
Hans,
Alexander
:
On post-lie algebras, lie-butcher series and moving frames
Foundations of Computational Mathematics 2013 DOI
Hans,
Tor
:
Multidimensional pseudo-spectral methods on lattice grids
Applied Numerical Mathematics 2012 DOI
Kurusch,
Alexander,
Simon J. A.,
Hans,
Anke
:
Algebraic structure of stochastic expansions and efficient simulation
Proceedings of the Royal Society. Mathematical, Physical and Engineering Sciences 2012 DOI
Alexander,
Hans
:
Backward Error Analysis and the Substitution Law for Lie Group Integrators
Foundations of Computational Mathematics 10. julio 2012 DOI
Hans,
Brett Nicholas
:
On Multivariate Chebyshev Polynomials and Spectral Approxi- mations on Triangles
Lecture Notes in Computational Science and Engineering 2011
Hans,
Alexander
:
Hopf algebras of formal diffeomorphisms and numerical integration on manifolds
Contemporary Mathematics 2011 SAMMENDRAG / OMTALE
Snorre H,
Hans,
Brynjulf
:
Topics in structure-preserving discretization
Acta Numerica 2011 DOI
Stein,
Hans,
Antonella
:
Generalized polar coordinates on Lie groups and numerical integrators
Numerische Mathematik 2009 DOI
Robert, i,
Hans,
Reinout,
Antonella
:
Explicit Volume-Preserving Splitting Methods for Linear and Quadratic Divergence-Free Vector Fields
Foundations of Computational Mathematics 2008 DOI
Hans,
Will M.
:
On the Hopf algebraic structure of Lie group integrators
Foundations of Computational Mathematics 2008 DOI
Elena,
Giulia Di,
Kurusch,
Hans
:
Computation and Combinatorics in Dynamics, Stochastics and Control
Springer 2018
Cordian,
Hans Zanna
:
Tiden er inne for Matematikkens hus
2025
Helge,
Hans Zanna,
Dag Rune,
Cordian Benedikt
:
Norge trenger et løft for matematikk på høyt nivå
Nordnorsk debatt - Nordlys 16. enero 2025
Elena,
Hans Zanna,
Brynjulf Rustad,
Antonella Zanna
:
PREFACE SPECIAL ISSUE ON MECHANICS, COMPUTATION AND THEIR MATH FOUNDATIONS. PART II
Journal of Computational Dynamics 2024 DOI
Elena,
Hans Zanna,
Brynjulf Rustad,
Antonella Zanna
:
PREFACE SPECIAL ISSUE ON MECHANICS, COMPUTATION AND THEIR MATH FOUNDATIONS. PART I
Journal of Computational Dynamics 2024 DOI
Albert,
Wolfgang,
Hans Zanna,
Martín,
Agnes
:
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,
Heidi Lie
:
Bergens nye attraksjon
29. septiembre 2018
Hans,
Alexander
:
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
:
Groups and symmetries in numerical linear algebra (6 hours lectures)
2015
Hans
:
Numerical integration, structure preservation and combinatorics (4 hrs lectures)
2015
Hans
:
Geometry and algebra of Buther- and Lie-Butcher series
2015
Hans,
Olivier
:
Integrators on homogeneous spaces: Isotropy choice and connections
arXiv 2014 FULLTEKST
Robert I.,
Klas,
Hans,
Olivier
:
B-series methods are exactly the local, affine equivariant methods
arXiv 2014 FULLTEKST
Antonella,
Hans,
Reinout
:
Symmetries and reversing symmetries in differential equations and linear algebra
2014
Hans
:
On post-Lie algebras, Lie-Butcher series and moving frames
2013
Robert, i,
Hans,
Reinout,
Antonella
:
Guest Editors' Preface
Foundations of Computational Mathematics 2008 DOI
Robert, i,
Hans,
Reinout,
Antonella
:
Explicit, volume preserving splitting methods for divergence-free polynomial vector fields
2006
Robert, i,
Hans,
Reinout,
Antonella
:
Volume preserving splitting methods for divergence free vector fields
2006
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Research interests
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