Lie-Størmer Center

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Academic article

• Mahdi Jasim Hasan Al-Kaabi; Kurusch Ebrahimi-Fard; Dominique Manchon et al. (2025). Algebraic aspects of connections: From torsion, curvature, and post-Lie algebras to Gavrilov’s double exponential and special polynomials. (external link)
• Hans Zanna Munthe-Kaas (2024). GEOMETRIC INTEGRATION ON SYMMETRIC SPACES. (external link)
• Erlend Grong; Hans Zanna Munthe-Kaas; Jonatan Stava (2024). Post-Lie Algebra Structure of Manifolds with Constant Curvature and Torsion. (external link)
• Hans Zanna Munthe-Kaas; Jonatan Stava (2024). Lie Admissible Triple Algebras: The Connection Algebra of Symmetric Spaces. (external link)
• Adrien Laurent; Hans Zanna Munthe-Kaas (2024). The Universal Equivariance Properties of Exotic Aromatic B-Series. (external link)
• Adrien Ange Andre Laurent; Robert I. Mclachlan; Hans Zanna Munthe-Kaas et al. (2023). The aromatic bicomplex for the description of divergence-free aromatic forms and volume-preserving integrators. (external link)
• Gunnar Fløystad; Hans Munthe-Kaas; Dominique Manchon (2021). The universal pre-Lie Rinehart algebras of aromatic trees. (external link)
• Charles Henry Alexander Curry; Kurusch Ebrahimi-Fard; Dominique Manchon et al. (2020). Planarly branched rough paths and rough differential equations on homogeneous spaces. (external link)
• Hans Zanna Munthe-Kaas; Ari Stern; Olivier Verdier (2020). Invariant connections, Lie algebra actions, and foundations of numerical integration on manifolds. (external link)
• Charles Henry Alexander Curry; Kurusch Ebrahimi-Fard; Hans Munthe-Kaas (2019). What is a post-Lie algebra and why is it useful in geometric integration. (external link)
• Gunnar Fløystad; Hans Munthe-Kaas (2019). Pre- and post-lie algebras: The algebro-geometric view. (external link)
• Hans Munthe-Kaas; Kristoffer Kristiansen Føllesdal (2018). Lie-Butcher series, Geometry, Algebra and Computation. (external link)
• Kurusch Ebrahimi-Fard; Igor Mencattini; Hans Munthe-Kaas (2017). Post-Lie algebras and factorization theorems. (external link)
• Hans Munthe-Kaas; Olivier Verdier (2016). Integrators on homogeneous spaces: Isotropy choice and connections. (external link)
• Hans Munthe-Kaas (2016). Groups and symmetries in numerical linear algebra. (external link)
• Kurusch Ebrahimi-Fard; Alexander Lundervold; Igor Mencattini et al. (2015). Post-lie algebras and isospectral flows. (external link)
• Kurusch Ebrahimi-Fard; Alexander Lundervold; Hans Munthe-Kaas (2015). On the Lie enveloping algebra of a post-Lie algebra. (external link)
• Robert I. McLachlan; Klas Modin; Hans Munthe-Kaas et al. (2015). B-series methods are exactly the affine equivariant methods. (external link)
• Hans Munthe-Kaas; Olivier Verdier (2015). Aromatic Butcher Series. (external link)
• Ferenc Agoston Bartha; Hans Munthe-Kaas (2014). Computing of B-series by automatic differentiation. (external link)
• Hans Munthe-Kaas; Reinout Quispel; Antonella Zanna (2014). Symmetric spaces and Lie triple systems in numerical analysis of differential equations. (external link)
• Hans Munthe-Kaas; Alexander Lundervold (2013). On post-lie algebras, lie-butcher series and moving frames. (external link)
• Hans Munthe-Kaas; Tor Sørevik (2012). Multidimensional pseudo-spectral methods on lattice grids. (external link)
• Kurusch Ebrahimi-Fard; Alexander Lundervold; Simon J. A. Malham et al. (2012). Algebraic structure of stochastic expansions and efficient simulation. (external link)
• Alexander Lundervold; Hans Munthe-Kaas (2012). Backward Error Analysis and the Substitution Law for Lie Group Integrators. (external link)
• Hans Munthe-Kaas; Brett Nicholas Ryland (2011). On Multivariate Chebyshev Polynomials and Spectral Approxi- mations on Triangles. (external link)
• Hans Munthe-Kaas; Alexander Lundervold (2011). Hopf algebras of formal diffeomorphisms and numerical integration on manifolds. (external link)
• Stein Krogstad; Hans Munthe-Kaas; Antonella Zanna (2009). Generalized polar coordinates on Lie groups and numerical integrators. (external link)
• Robert, i Mclachlan; Hans Munthe-Kaas; Reinout Quispel et al. (2008). Explicit Volume-Preserving Splitting Methods for Linear and Quadratic Divergence-Free Vector Fields. (external link)
• Hans Munthe-Kaas; Will M. Wright (2008). On the Hopf algebraic structure of Lie group integrators. (external link)
• Hans Munthe-Kaas (2006). On group Fourier analysis and symmetry preserving discretizations of PDEs. (external link)
• Jialin Hong; Liu Ying; Hans Munthe-Kaas et al. (2006). Globally conservative properties and error estimation of a multi-symplectic scheme for Schrödinger equations with variable coefficients. (external link)
• Krister Åhlander; Hans Munthe-Kaas (2006). Eigenvalues for equivariant matrices. (external link)
• Magne Haveraaen; Helmer Andre Friis; Hans Munthe-Kaas (2005). Computable Scalar Fields: a basis for {PDE} software. (external link)
• Krister Åhlander; Hans Munthe-Kaas (2005). Applications of the generalized Fourier transform in numerical linear algebra. (external link)
• Krister Åhlander; Magne Haveraaen; Hans Munthe-Kaas (2002). On Object-Oriented Frameworks and Coordinate Free Formulations of {PDE}s. (external link)
• Antonella Zanna; Hans Munthe-Kaas; Kenth Engø (2001). Adjoint and self-adjoint Lie-group methods. (external link)
• Hans Munthe-Kaas; G.R.W Quispel; Antonella Zanna (2001). Generalized Polar Decompositions on Lie Groups witn Involutive Automorphisms. (external link)
• Stig Faltinsen; Arne Marthinsen; Hans Munthe-Kaas (2001). Multistep methods integrating ordinary differential equations on manifolds. (external link)
• Hans Munthe-Kaas; Antonella Zanna (2001). Generalized Polar Decompositions for the Approximation of the Matrix Exponential. (external link)
• Kenth Engø; Arne Marthinsen; Hans Munthe-Kaas (2001). DiffMan: An object-oriented MATLAB toolbox for solving differential equations on manifolds. (external link)
• Helmer Andre Friis; Tor Arne Johansen; Magne Haveraaen et al. (2001). Use of coordinate free numerics in elastic wave simulation. (external link)
• Arieh Iserles; Hans Munthe-Kaas; Syvert P. Nørsett et al. (2000). Lie-group methods. (external link)
• Hans Munthe-Kaas (1999). High order Runge-Kutta methods on Manifolds. (external link)
• Hans Munthe-Kaas; Brynjulf Owren (1999). Computations in a Free Lie Algebra. (external link)
• Arne Marthinsen; Arne Marthinsen; Hans Munthe-Kaas et al. (1997). Simulation of ordinary differential equations on manifolds : some numerical experiments and verifications. (external link)
• Hans Munthe-Kaas (1993). Superparallel FFTs. (external link)

Academic book chapter

• Alexander Lundervold; Hans Munthe-Kaas (2015). On algebraic structures of numerical integration on vector spaces and manifolds. (external link)
• Hans Munthe-Kaas (1992). Generalized Shuffle Exchange Networks. (external link)

Academic literature review

• Snorre H Christiansen; Hans Munthe-Kaas; Brynjulf Owren (2011). Topics in structure-preserving discretization. (external link)

Book anthology

• Elena Celledoni; Giulia Di Nunno; Kurusch Ebrahimi-Fard et al. (2018). Computation and Combinatorics in Dynamics, Stochastics and Control. (external link)

Conference lecture

• Hans Munthe-Kaas (2015). Groups and symmetries in numerical linear algebra (6 hours lectures). (external link)
• Hans Munthe-Kaas (2015). Numerical integration, structure preservation and combinatorics (4 hrs lectures). (external link)
• Hans Munthe-Kaas (2015). Geometry and algebra of Buther- and Lie-Butcher series. (external link)
• Hans Munthe-Kaas (2013). On post-Lie algebras, Lie-Butcher series and moving frames. (external link)
• Robert, i Mclachlan; Hans Munthe-Kaas; Reinout Quispel et al. (2006). Explicit, volume preserving splitting methods for divergence-free polynomial vector fields. (external link)
• Robert, i Mclachlan; Hans Munthe-Kaas; Reinout Quispel et al. (2006). Volume preserving splitting methods for divergence free vector fields. (external link)
• Robert, i Mclachlan; Hans Munthe-Kaas; Reinout Quispel et al. (2006). Explicit volume preserving methods for divergence-free polynomial vector fields. (external link)
• Hans Munthe-Kaas; Antonella Zanna (2003). Numerical methods for the computation of exponential of matrices. (external link)
• Hans Munthe-Kaas (2002). On equivariance of numerical integrators. (external link)
• Hans Munthe-Kaas (2002). On the geometric exactness of Lie group integrators. (external link)
• Hans Munthe-Kaas (2002). Introduction to Lie group integrators. (external link)
• Hans Munthe-Kaas; Antonella Zanna (2001). Lie group integrators based on generalized polar coordinates. (external link)
• Hans Munthe-Kaas (2001). Canonical spherical integrators applied to PDEs. (external link)
• Hans Munthe-Kaas (2001). Lie group integrators based on generalized polar coordinates. (external link)
• Krister Åhlander; Magne Haveraaen; Hans Munthe-Kaas (2000). On the Role of Mathematical Abstractions for Scientific Computing. (external link)
• Krister Åhlander; Magne Haveraaen; Hans Munthe-Kaas (2000). On the Role of Mathematical Abstractions for Scientific Computing. (external link)
• Antonella Zanna; Hans Munthe-Kaas (1997). Iterated Commutators, Lie's Reduction Method and Ordinary Differential Equations on Matrix Lie Groups. (external link)
• Hans Munthe-Kaas; Antonella Zanna (1997). Numerical Integration of Differential Equations on Homogeneous Manifolds. (external link)
• Hans Munthe-Kaas (1994). Routing K-file permutations on parallel computers. (external link)
• Hans Munthe-Kaas (1993). Modelling waves in discontinuous media; Uniformly converging schemes. (external link)
• Hans Munthe-Kaas (1993). Solving tensor fields on parallel computers, applications to forward modelling. (external link)
• Magne Haveraaen; V. Madsen; Hans Munthe-Kaas (1992). Algebraic Programming Technology for Partial Differential Equations. (external link)
• Hans Munthe-Kaas (1992). Prestack Migration on a Massively Parallel Computer. (external link)
• Hans Munthe-Kaas (1991). Super Parallel FFT's with applications to Seismic Migration. (external link)

Editorial/Leader article

• Robert, i Mclachlan; Hans Munthe-Kaas; Reinout Quispel et al. (2008). Guest Editors' Preface. (external link)

Journal corrigendum

• Albert Cohen; Wolfgang Dahmen; Hans Zanna Munthe-Kaas et al. (2021). Correction to: Preface (Foundations of Computational Mathematics, (2019), 19, 5, (963-964), 10.1007/s10208-019-09434-y). (external link)
• Hans Munthe-Kaas; Alexander Lundervold (2018). 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). (external link)

Lecture

• Antonella Zanna; Hans Munthe-Kaas; Reinout Quispel (2014). Symmetries and reversing symmetries in differential equations and linear algebra. (external link)
• Hans Munthe-Kaas (1997). Geometrisk integrasjon av differensiallikninger, en innføring. (external link)
• Hans Munthe-Kaas (1997). An introduction to Lie group methods. (external link)
• Hans Munthe-Kaas (1997). Coordinate free methods in scientific computing. (external link)
• Hans Munthe-Kaas (1997). High order Runge-Kutta Methods on manifolds. (external link)
• Hans Munthe-Kaas (1994). Routing K-file permutations on parallel computers. (external link)
• Hans Munthe-Kaas (1994). Coordinate free Numerics. (external link)

Letter to the editor

• Helge Holden; Hans Zanna Munthe-Kaas; Dag Rune Olsen et al. (2025). Norge trenger et løft for matematikk på høyt nivå. (external link)

Media feature article

• Dag Rune Olsen; Hans Munthe-Kaas; Jens-Ivar Nergård et al. (2026). Innsjøer avslører fortidens klimaendringer i Arktis. (external link)
• Cordian Riener; Hans Zanna Munthe-Kaas (2025). Tiden er inne for Matematikkens hus. (external link)

Media interview

• Hans Munthe-Kaas; Heidi Lie Andersen (2018). Bergens nye attraksjon. (external link)

Professional article

• Elena Celledoni; Hans Zanna Munthe-Kaas; Brynjulf Rustad Owren et al. (2024). PREFACE SPECIAL ISSUE ON MECHANICS, COMPUTATION AND THEIR MATH FOUNDATIONS. PART II. (external link)
• Elena Celledoni; Hans Zanna Munthe-Kaas; Brynjulf Rustad Owren et al. (2024). PREFACE SPECIAL ISSUE ON MECHANICS, COMPUTATION AND THEIR MATH FOUNDATIONS. PART I. (external link)

Research report

• Hans Munthe-Kaas; Olivier Verdier (2014). Integrators on homogeneous spaces: Isotropy choice and connections. (external link)
• Robert I. McLachlan; Klas Modin; Hans Munthe-Kaas et al. (2014). B-series methods are exactly the local, affine equivariant methods. (external link)
• Hans Munthe-Kaas; Stein Krogstad; Antonella Zanna (2003). Generalized Polar Coordinates On Lie Groups And Numerical Integrators. (external link)
• Hans Munthe-Kaas; Stein Krogstad (2002). On enumeration problems in Lie-Butcher theory. (external link)
• Hans Munthe-Kaas; G.R.W Quispel; Antonella Zanna (2001). Application of symmetric spaces and Lie-triple systems in numerical analysis. (external link)
• Antonella Zanna; Hans Munthe-Kaas (2000). Generalized polar decompositions for the approximation of the matrix exponential. (external link)
• Hans Munthe-Kaas; G. R. W. Quispel; Antonella Zanna (2000). The polar decomposition on Lie groups with involutive automorphisms. (external link)
• Hans Munthe-Kaas; G. R. W. Quispel; Antonella Zanna (2000). The polar decomposition on Lie groups with involutive automorphisms. (external link)
• Antonella Zanna; Hans Munthe-Kaas (2000). Generalized polar decompositions for the approximation of the matrix exponential. (external link)
• Stig Faltinsen; Arne Marthinsen; Hans Munthe-Kaas (1999). Multistep Methods Integrating Ordinary Differential Equations on Manifolds. (external link)
• Antonella Zanna; Kenth Engø; Hans Munthe-Kaas (1999). Adjoint and selfadjoint Lie-group. (external link)
• Kenth Engø; Arne Marthinsen; Hans Munthe-Kaas (1999). DiffMan - User's Guide Version 1.6. (external link)
• Kenth Engø; Arne Marthinsen; Hans Munthe-Kaas (1999). DiffMan, an object oriented MATLAB toolbox for solving differential equations on manifolds. (external link)
• Hans Munthe-Kaas; Brynjulf Owren (1998). Computations in a free Lie algebra. (external link)
• Hans Munthe-Kaas (1997). High Order Runge--Kutta Methods on Manifolds. (external link)
• Hans Munthe-Kaas; V. Aarre (1994). Optimizing overloaded arithmetic operators in C++. (external link)
• Hans Munthe-Kaas (1994). Coordinate Free Numerics, Part 1. (external link)
• Hans Munthe-Kaas (1994). An algebraic theory fro regular mappings on parallel computers. (external link)
• Hans Munthe-Kaas; S. Arya (1994). 2D Prestack Migration on the MasPar MP-1. (external link)
• Hans Munthe-Kaas (1992). Generalized shuffle exchange networks. (external link)
• Petter Erling Bjørstad; Jeremy Cook; Hans Munthe-Kaas et al. (1991). Implementation of a SAR processing algorithm on MasPar MP-1208. (external link)
• Hans Munthe-Kaas (1991). Super Parallel FFT's. (external link)
• Hans Munthe-Kaas; A. Arioli; L. Valdettaro (1991). Componentwise error analysis of FFT's with applicatons to fast Helmholz solvers. (external link)

Working paper

• Kenth Engø; Arne Marthinsen; Hans Munthe-Kaas (1998). DiffMan - an object oriented MATLAB toolbox for solving differential equations on manifolds: User's Guide (preliminary version). (external link)
• Kenth Engø; Arne Marthinsen; Hans Munthe-Kaas (1997). DiffMan - an object oriented MATLAB toolbox for solving differential equations on manifolds: User's Guide. (external link)
• Hans Munthe-Kaas (1993). Practical parallel permutation procedures. (external link)

See a complete overview of publications in NVA.

Portrettfoto: Peter Badge © (external link). Spør meg om du vil bruke det, hans@math.uib.no.