Hans Munthe-Kaas
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Norwegian mathematician
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Hans Munthe-Kaasmathematics Degrees
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Mathematics
Why Is Hans Munthe-Kaas Influential?
(Suggest an Edit or Addition)According to Wikipedia, Hans Zanna Munthe-Kaas is a Norwegian mathematician at the University of Bergen, and UiT The Arctic University of Norway working in the area of computational mathematics in the borderland between pure and applied mathematics and computer science.
Hans Munthe-Kaas's Published Works
Published Works
- Lie-group methods (2000) (389)
- Runge-Kutta methods on Lie groups (1998) (276)
- High order Runge-Kutta methods on manifolds (1999) (270)
- Computations in a free Lie algebra (1999) (165)
- Topics in structure-preserving discretization* (2011) (122)
- Lie-Butcher theory for Runge-Kutta methods (1995) (122)
- Numerical integration of differential equations on homogeneous manifolds (1997) (77)
- On Post-Lie Algebras, Lie–Butcher Series and Moving Frames (2012) (77)
- On the Hopf Algebraic Structure of Lie Group Integrators (2006) (74)
- Globally conservative properties and error estimation of a multi-symplectic scheme for Schrödinger equations with variable coefficients (2006) (66)
- Generalized Polar Decompositions for the Approximation of the Matrix Exponential (2001) (48)
- Generalized Polar Decompositions on Lie Groups with Involutive Automorphisms (2001) (46)
- On the Lie enveloping algebra of a post-Lie algebra (2014) (43)
- On Multivariate Chebyshev Polynomials and Spectral Approximations on Triangles (2011) (36)
- Hopf algebras of formal diffeomorphisms and numerical integration on manifolds (2009) (32)
- Adjoint and Selfadjoint Lie-group Methods (2001) (30)
- Simulation of ordinary differential equations on manifolds : some numerical experiments and verifications (1997) (28)
- On group Fourier analysis and symmetry preserving discretizations of PDEs (2006) (27)
- B-series methods are exactly the affine equivariant methods (2014) (27)
- Multidimensional pseudo-spectral methods on lattice grids (2012) (27)
- Coordinate free numerics : Closing the gap between 'pure' and 'applied' mathematics ? (1996) (21)
- DiffMan: an object-oriented MATLAB toolbox for solving differential equations on manifold (2001) (21)
- Multistep methods integrating ordinary differential equations on manifolds (2001) (20)
- On the Role of Mathematical Abstractions for Scientific Computing (2000) (20)
- Planarly branched rough paths and rough differential equations on homogeneous spaces (2018) (20)
- Applications of the Generalized Fourier Transform in Numerical Linear Algebra (2005) (19)
- Post-lie algebras and isospectral flows (2015) (19)
- Iterated commutators, Lie's reduction method and ordinary differential equations on matrix Lie groups (1997) (19)
- What Is a Post-Lie Algebra and Why Is It Useful in Geometric Integration (2017) (19)
- Aromatic Butcher Series (2013) (19)
- Exploiting Hidden Structure in Matrix Computations: Algorithms and Applications (2016) (19)
- Explicit Volume-Preserving Splitting Methods for Linear and Quadratic Divergence-Free Vector Fields (2008) (18)
- Algebraic structure of stochastic expansions and efficient simulation (2011) (18)
- Backward Error Analysis and the Substitution Law for Lie Group Integrators (2011) (15)
- On enumeration problems in Lie-Butcher theory (2003) (14)
- Symmetric spaces and Lie triple systems in numerical analysis of differential equations (2013) (13)
- Post-Lie algebras and factorization theorems (2017) (13)
- Runge{kutta Methods on Manifolds (1995) (13)
- Square-Conservative Schemes for a Class of Evolution Equations Using Lie-Group Methods (2001) (13)
- Numerical Integration of Di erential Equations on Homoge-neous Manifolds (1996) (12)
- Mathematics and Computation, a Contemporary View (2008) (12)
- Componentwise error analysis for FFTs with applications to fast Helmholtz solvers (1996) (12)
- Through the Kaleidoscope: Symmetries, Groups and Chebyshev-Approximations from a Computational Point of View (2012) (12)
- Computable scalar fields: A basis for PDE software (2005) (12)
- On algebraic structures of numerical integration on vector spaces and manifolds (2011) (11)
- Pre- and Post-Lie Algebras: The Algebro-Geometric View (2016) (11)
- Integrators on Homogeneous Spaces: Isotropy Choice and Connections (2014) (10)
- Use of coordinate-free numerics in elastic wave simulation (2001) (9)
- Application of symmetric spaces and Lie triple systems in numerical analysis (2001) (9)
- Lie–Butcher Series, Geometry, Algebra and Computation (2017) (8)
- Simulation of Ordinary Di erentialEquations on Manifolds | Some Numerical Experiments and Veri cations (1996) (8)
- Generalized polar coordinates on Lie groups and numerical integrators (2009) (8)
- Butcher series: A story of rooted trees and numerical methods for evolution equations (2015) (8)
- Eigenvalues for equivariant matrices (2006) (7)
- The universal pre-Lie-Rinehart algebras of aromatic trees (2020) (5)
- Computing of B-series by automatic differentiation (2013) (5)
- Superparallel FFTs (1993) (5)
- Invariant Connections, Lie Algebra Actions, and Foundations of Numerical Integration on Manifolds (2019) (4)
- What are Butcher series, really? (2015) (3)
- Mathematics and Computation, a Contemporary View: The Abel Symposium 2006 (2008) (3)
- What are Butcher series, really? The story of rooted trees and numerical methods for evolution equations (2015) (3)
- Algebraic aspects of connections: from torsion, curvature, and post-Lie algebras to Gavrilov's double exponential and special polynomials (2022) (3)
- Di Man an object oriented MATLAB toolbox for solving di erential equations on manifolds (1999) (2)
- Equivariant Series (2014) (2)
- Conferences & Workshops (1996) (2)
- Groups and Symmetries in Numerical Linear Algebra (2016) (1)
- An Algebraic Theory for Regular Data Mappings on Parallel Computers (1995) (1)
- Backward Error Analysis and the Substitution Law for Lie Group Integrators (2012) (1)
- Methods, 2001. (2002) (1)
- Generalized Shuffle-Exchange Networks (1992) (1)
- Surface pollution and light extinction in the Oslofjord (1968) (1)
- Geometry and Algebra of Butcher- and Lie–Butcher series (2015) (0)
- Preface (1992) (0)
- Correction to: On Post-Lie Algebras, Lie–Butcher Series and Moving Frames (2018) (0)
- Algebraic structure of stochastic expansions and universally accurate simulation (2011) (0)
- On Post-Lie Algebras, Lie–Butcher Series and Moving Frames (2013) (0)
- On Object-Oriented Frameworks and Coordinate Free Formulations of PDEs (2002) (0)
- Aromatic Butcher Series (2015) (0)
- BSDEs with default jump (2020) (0)
- Correction to: Preface (2021) (0)
- Integrators on Homogeneous Spaces: Isotropy Choice and Connections (2015) (0)
- Symmetric spaces and Lie triple systems in numerical analysis of differential equations (2014) (0)
- Coordinate Free Numerics (2008) (0)
- The aromatic bicomplex for the description of divergence-free aromatic forms and volume-preserving integrators (2023) (0)
- Correction to: On Post-Lie Algebras, Lie–Butcher Series and Moving Frames (2018) (0)
- ♠ Spade-ace Structure Preserving Algorithms for Differential Equations - Applications, Computing, Education (2006) (0)
- Norges Teknisk-naturvitenskapelige Universitet Multistep Methods Integrating Ordinary Diierential Equations on Manifolds Multistep Methods Integrating Ordinary Diierential Equations on Manifolds (1999) (0)
- DEVELOPMENT OF NUMERICAL FJORDMODELS FOR THE FUNCTIONAL PLANNING OF A REGIONAL WASTE WATER DISPOSAL SYSTEM (1973) (0)
- University of Cambridge Numerical Analysis Reports High Order Runge{kutta Methods on Manifolds High Order Runge{kutta Methods on Manifolds (1997) (0)
- CIMEEMS Summer School in applied mathematics Exploiting Hidden Structure in Matrix Computations. Algorithms and Applications (2015) (0)
- Post-Lie Algebra Structure of Manifolds with Constant Curvature and Torsion (2023) (0)
- Explicit, volume preserving splitting methods for divergence-free polynomial vector fields. (2006) (0)
- Correction to: Preface (2021) (0)
- Generalized Shuffle-Exchange Networks A Brief Summary (2005) (0)
- B-series methods are exactly the affine equivariant methods (2015) (0)
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