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Peter Badge
  • E-mailHans.Munthe-Kaas@uib.no
  • Phone+47 55 58 41 79+47 452 38 987
  • Visitor Address
    Realfagbygget, Allégaten 41
    Room 
    4A7d Realfagbygget
  • Postal Address
    Postboks 7803
    5020 Bergen
Academic article
  • Show author(s) (2020). Planarly branched rough paths and rough differential equations on homogeneous spaces. Journal of Differential Equations. 9740-9782.
  • Show author(s) (2020). Invariant connections, Lie algebra actions, and foundations of numerical integration on manifolds. SIAM Journal on applied algebra and geometry. 49-68.
  • Show author(s) (2019). What is a post-Lie algebra and why is it useful in geometric integration. Lecture Notes in Computational Science and Engineering. 429-437.
  • Show author(s) (2019). Pre- and post-lie algebras: The algebro-geometric view. Abel Symposia. 321-367.
  • Show author(s) (2018). Lie-Butcher series, Geometry, Algebra and Computation. Springer Proceedings in Mathematics & Statistics. 71-113.
  • Show author(s) (2017). Post-Lie algebras and factorization theorems. Journal of Geometry and Physics. 19-33.
  • Show author(s) (2016). Integrators on homogeneous spaces: Isotropy choice and connections. Foundations of Computational Mathematics. 183-215.
  • Show author(s) (2016). Groups and symmetries in numerical linear algebra. Lecture notes in mathematics. 319-406.
  • Show author(s) (2015). Post-lie algebras and isospectral flows. SIGMA. Symmetry, Integrability and Geometry.
  • Show author(s) (2015). On the Lie enveloping algebra of a post-Lie algebra. Journal of Lie theory. 1139-1165.
  • Show author(s) (2015). B-series methods are exactly the affine equivariant methods. Numerische Mathematik. 599-622.
  • Show author(s) (2015). Aromatic Butcher Series. Foundations of Computational Mathematics. 185-215.
  • Show author(s) (2014). Symmetric spaces and Lie triple systems in numerical analysis of differential equations. BIT Numerical Mathematics. 257-282.
  • Show author(s) (2014). Computing of B-series by automatic differentiation. Discrete and Continuous Dynamical Systems. Series A. 903-914.
  • Show author(s) (2013). On post-lie algebras, lie-butcher series and moving frames. Foundations of Computational Mathematics. 583-613.
  • Show author(s) (2013). Backward Error Analysis and the Substitution Law for Lie Group Integrators. Foundations of Computational Mathematics. 161-186.
  • Show author(s) (2012). Multidimensional pseudo-spectral methods on lattice grids. Applied Numerical Mathematics. 155-165.
  • Show author(s) (2012). Algebraic structure of stochastic expansions and efficient simulation. Proceedings of the Royal Society. Mathematical, Physical and Engineering Sciences. 2361-2382.
  • Show author(s) (2011). On Multivariate Chebyshev Polynomials and Spectral Approxi- mations on Triangles. Lecture Notes in Computational Science and Engineering. 19-41.
  • Show author(s) (2011). Hopf algebras of formal diffeomorphisms and numerical integration on manifolds. Contemporary Mathematics.
  • Show author(s) (2009). Generalized polar coordinates on Lie groups and numerical integrators. Numerische Mathematik. 161-187.
  • Show author(s) (2008). On the Hopf algebraic structure of Lie group integrators. Foundations of Computational Mathematics. 227-257.
  • Show author(s) (2008). Explicit Volume-Preserving Splitting Methods for Linear and Quadratic Divergence-Free Vector Fields. Foundations of Computational Mathematics. 335-355.
  • Show author(s) (2006). On group Fourier analysis and symmetry preserving discretizations of PDEs. Journal of Physics A: Mathematical and General. 5563-5584.
  • Show author(s) (2006). Globally conservative properties and error estimation of a multi-symplectic scheme for Schrödinger equations with variable coefficients. Applied Numerical Mathematics. 814-843.
  • Show author(s) (2006). Eigenvalues for equivariant matrices. Journal of Computational and Applied Mathematics. 89-99.
  • Show author(s) (2005). Computable Scalar Fields: a basis for {PDE} software. Journal of Logic and Algebraic Programming. 36-49.
  • Show author(s) (2005). Applications of the generalized Fourier transform in numerical linear algebra. BIT Numerical Mathematics. 819-850.
  • Show author(s) (2002). On Object-Oriented Frameworks and Coordinate Free Formulations of {PDE}s. Engineering with Computers. 286-294.
  • Show author(s) (2001). Use of coordinate free numerics in elastic wave simulation. Applied Numerical Mathematics. 151-171.
  • Show author(s) (2001). Multistep methods integrating ordinary differential equations on manifolds. Applied Numerical Mathematics. 349-365.
  • Show author(s) (2001). Generalized Polar Decompositions on Lie Groups witn Involutive Automorphisms. Found. Comput. Math.. 297-324.
  • Show author(s) (2001). Generalized Polar Decompositions for the Approximation of the Matrix Exponential. SIAM Journal on Matrix Analysis and Applications. 840-862.
  • Show author(s) (2001). DiffMan: An object-oriented MATLAB toolbox for solving differential equations on manifolds. Applied Numerical Mathematics. 323-347.
  • Show author(s) (2001). Adjoint and self-adjoint Lie-group methods. BIT Numerical Mathematics. 395-421.
  • Show author(s) (2000). Lie-group methods. Acta Numerica. 215-365.
  • Show author(s) (1999). High order Runge-Kutta methods on Manifolds. Applied Numerical Mathematics. 115-127.
  • Show author(s) (1999). Computations in a Free Lie Algebra. Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences. 957-981.
  • Show author(s) (1997). Simulation of ordinary differential equations on manifolds : some numerical experiments and verifications. Modeling, Identification and Control. 75-88.
  • Show author(s) (1993). Superparallel FFTs. SIAM Journal on Scientific Computing.
Report
  • Show author(s) (2014). Integrators on homogeneous spaces: Isotropy choice and connections. .
  • Show author(s) (2014). B-series methods are exactly the local, affine equivariant methods. .
  • Show author(s) (2003). Generalized Polar Coordinates On Lie Groups And Numerical Integrators. 244. 244. .
  • Show author(s) (2002). On enumeration problems in Lie-Butcher theory. .
  • Show author(s) (2001). Application of symmetric spaces and Lie-triple systems in numerical analysis. 217. 217. .
  • Show author(s) (2000). The polar decomposition on Lie groups with involutive automorphisms. .
  • Show author(s) (2000). The polar decomposition on Lie groups with involutive automorphisms. .
  • Show author(s) (2000). Generalized polar decompositions for the approximation of the matrix exponential. .
  • Show author(s) (2000). Generalized polar decompositions for the approximation of the matrix exponential. .
  • Show author(s) (1999). Multistep Methods Integrating Ordinary Differential Equations on Manifolds. 3. 3. .
  • Show author(s) (1999). DiffMan, an object oriented MATLAB toolbox for solving differential equations on manifolds. 164. 164. .
  • Show author(s) (1999). DiffMan - User's Guide Version 1.6. 166. 166. .
  • Show author(s) (1999). Adjoint and selfadjoint Lie-group. 2. 2. .
  • Show author(s) (1998). Computations in a free Lie algebra. 148. 148. .
  • Show author(s) (1997). High Order Runge--Kutta Methods on Manifolds. NA14. NA14. .
  • Show author(s) (1994). Optimizing overloaded arithmetic operators in C++. 95. 95. .
  • Show author(s) (1994). Coordinate Free Numerics, Part 1. 101. 101. .
  • Show author(s) (1994). An algebraic theory fro regular mappings on parallel computers. 102. 102. .
  • Show author(s) (1994). 2D Prestack Migration on the MasPar MP-1. 93. 93. .
  • Show author(s) (1992). Generalized shuffle exchange networks. .
  • Show author(s) (1991). Super Parallel FFT's. .
  • Show author(s) (1991). Implementation of a SAR processing algorithm on MasPar MP-1208. .
  • Show author(s) (1991). Componentwise error analysis of FFT's with applicatons to fast Helmholz solvers. .
Lecture
  • Show author(s) (2014). Symmetries and reversing symmetries in differential equations and linear algebra.
Popular scientific lecture
  • Show author(s) (1997). High order Runge-Kutta Methods on manifolds.
  • Show author(s) (1997). Geometrisk integrasjon av differensiallikninger, en innføring.
  • Show author(s) (1997). Coordinate free methods in scientific computing.
  • Show author(s) (1997). An introduction to Lie group methods.
  • Show author(s) (1994). Routing K-file permutations on parallel computers.
  • Show author(s) (1994). Coordinate free Numerics.
Academic lecture
  • Show author(s) (2015). Numerical integration, structure preservation and combinatorics (4 hrs lectures).
  • Show author(s) (2015). Groups and symmetries in numerical linear algebra (6 hours lectures).
  • Show author(s) (2015). Geometry and algebra of Buther- and Lie-Butcher series.
  • Show author(s) (2013). On post-Lie algebras, Lie-Butcher series and moving frames.
  • Show author(s) (2006). Volume preserving splitting methods for divergence free vector fields.
  • Show author(s) (2006). Explicit, volume preserving splitting methods for divergence-free polynomial vector fields.
  • Show author(s) (2006). Explicit volume preserving methods for divergence-free polynomial vector fields.
  • Show author(s) (2003). Numerical methods for the computation of exponential of matrices.
  • Show author(s) (2002). On the geometric exactness of Lie group integrators.
  • Show author(s) (2002). On equivariance of numerical integrators.
  • Show author(s) (2002). Introduction to Lie group integrators.
  • Show author(s) (2001). Lie group integrators based on generalized polar coordinates.
  • Show author(s) (2001). Lie group integrators based on generalized polar coordinates.
  • Show author(s) (2001). Canonical spherical integrators applied to PDEs.
  • Show author(s) (2000). On the Role of Mathematical Abstractions for Scientific Computing.
  • Show author(s) (2000). On the Role of Mathematical Abstractions for Scientific Computing.
  • Show author(s) (1997). Numerical Integration of Differential Equations on Homogeneous Manifolds.
  • Show author(s) (1997). Iterated Commutators, Lie's Reduction Method and Ordinary Differential Equations on Matrix Lie Groups.
  • Show author(s) (1994). Routing K-file permutations on parallel computers.
  • Show author(s) (1993). Solving tensor fields on parallel computers, applications to forward modelling.
  • Show author(s) (1993). Modelling waves in discontinuous media; Uniformly converging schemes.
  • Show author(s) (1992). Prestack Migration on a Massively Parallel Computer.
  • Show author(s) (1992). Algebraic Programming Technology for Partial Differential Equations.
  • Show author(s) (1991). Super Parallel FFT's with applications to Seismic Migration.
Editorial
  • Show author(s) (2008). Guest Editors' Preface. Foundations of Computational Mathematics. 289-290.
Academic anthology/Conference proceedings
  • Show author(s) (2018). Computation and Combinatorics in Dynamics, Stochastics and Control. Springer.
Compendium
  • Show author(s) (1998). DiffMan - an object oriented MATLAB toolbox for solving differential equations on manifolds: User's Guide (preliminary version).
  • Show author(s) (1997). DiffMan - an object oriented MATLAB toolbox for solving differential equations on manifolds: User's Guide.
  • Show author(s) (1993). Practical parallel permutation procedures.
Interview
  • Show author(s) (2018). Bergens nye attraksjon.
Academic chapter/article/Conference paper
  • Show author(s) (2015). On algebraic structures of numerical integration on vector spaces and manifolds. 46 pages.
  • Show author(s) (1992). Generalized Shuffle Exchange Networks.
Errata
  • Show author(s) (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). Foundations of Computational Mathematics.
Academic literature review
  • Show author(s) (2011). Topics in structure-preserving discretization. Acta Numerica. 1-119.

More information in national current research information system (CRIStin)

Portrait photo: Peter Badge ©. Ask me if you want to use it hans@math.uib.no.