Hans Munthe-Kaass bilde
Hans
Munthe-Kaas
Professor
Besøksadresse: 
Realfagbygget, Allégt. 41
5020 Bergen
Postadresse: 
Postboks 7803
5020 Bergen
Telefon: 
+47 55 58 41 79
+47 452 38 987
Last ned visittkort

Numerisk analyse, geometrisk integrasjon, anvendt gruppeteori

Tidsskriftartikler
  • Bartha, Ferenc Agoston; Munthe-Kaas, Hans. 2014. Computing of B-series by automatic differentiation. Discrete and Continuous Dynamical Systems. 34: 903-914. doi: 10.3934/dcds.2014.34.903
  • Munthe-Kaas, Hans; Quispel, Reinout; Zanna, Antonella. 2014. Symmetric spaces and Lie triple systems in numerical analysis of differential equations. BIT Numerical Mathematics. 54: 257-282. doi: 10.1007/s10543-014-0473-5
  • Lundervold, Alexander; Munthe-Kaas, Hans. 2013. Backward Error Analysis and the Substitution Law for Lie Group Integrators. Foundations of Computational Mathematics. 13: 161-186. Publisert 2012-07-10. doi: 10.1007/s10208-012-9130-z
  • Munthe-Kaas, Hans; Lundervold, Alexander. 2013. On post-lie algebras, lie-butcher series and moving frames. Foundations of Computational Mathematics. 13: 583-613. doi: 10.1007/s10208-013-9167-7
  • Ebrahimi-Fard, Kurusch; Lundervold, Alexander; Malham, Simon J. A.; Munthe-Kaas, Hans; Wiese, Anke. 2012. Algebraic structure of stochastic expansions and efficient simulation. Proceedings of the Royal Society. Mathematical, Physical and Engineering Sciences. 468: 2361-2382. doi: 10.1098/rspa.2012.0024
  • Munthe-Kaas, Hans; Sørevik, Tor. 2012. Multidimensional pseudo-spectral methods on lattice grids. Applied Numerical Mathematics. 62: 155-165. doi: 10.1016/j.apnum.2011.11.002
  • Christiansen, Snorre H; Munthe-Kaas, Hans; Owren, Brynjulf. 2011. Topics in structure-preserving discretization. Acta Numerica. 20: 1-119. doi: 10.1017/S096249291100002X
  • Munthe-Kaas, Hans; Lundervold, Alexander. 2011. Hopf algebras of formal diffeomorphisms and numerical integration on manifolds. Contemporary Mathematics. 539.
  • Munthe-Kaas, Hans; Ryland, Brett Nicholas. 2011. On Multivariate Chebyshev Polynomials and Spectral Approxi- mations on Triangles. Lecture Notes in Computational Science and Engineering. 76: 19-41.
  • Krogstad, Stein; Munthe-Kaas, Hans; Zanna, Antonella. 2009. Generalized polar coordinates on Lie groups and numerical integrators. Numerische Mathematik. 114: 161-187. doi: 10.1007/s00211-009-0255-1
  • Mclachlan, Robert, i; Munthe-Kaas, Hans; Quispel, Reinout; Zanna, Antonella. 2008. Explicit Volume-Preserving Splitting Methods for Linear and Quadratic Divergence-Free Vector Fields. Foundations of Computational Mathematics. 8: 335-355. doi: 10.1007/s10208-007-9009-6
  • Mclachlan, Robert, i; Munthe-Kaas, Hans; Quispel, Reinout; Zanna, Antonella. 2008. Guest Editors' Preface. Foundations of Computational Mathematics. 8: 289-290. doi: 10.1007/s10208-007-9020-y
  • Munthe-Kaas, Hans; Wright, Will M. 2008. On the Hopf algebraic structure of Lie group integrators. Foundations of Computational Mathematics. 8: 227-257. doi: 10.1007/s10208-006-0222-5
  • Hong, Jialin; Ying, Liu; Munthe-Kaas, Hans; Zanna, Antonella. 2006. Globally conservative properties and error estimation of a multi-symplectic scheme for Schrödinger equations with variable coefficients. Applied Numerical Mathematics. 56: 814-843. Publisert 2006-06-01.
  • Munthe-Kaas, Hans. 2006. On group Fourier analysis and symmetry preserving discretizations of PDEs. Journal of Physics A: Mathematical and General. 39: 5563-5584. Publisert 2006-04-24. doi: 10.1088/0305-4470/39/19/S14
  • Åhlander, Krister; Munthe-Kaas, Hans. 2006. Eigenvalues for equivariant matrices. Journal of Computational and Applied Mathematics. 192: 89-99. doi: 10.1016/j.cam.2005.04.045
  • Haveraaen, Magne; Friis, Helmer Andre; Munthe-Kaas, Hans. 2005. Computable Scalar Fields: a basis for {PDE} software. Journal of Logic and Algebraic Programming. 65: 36-49. doi: 10.1016/j.jlap.2004.12.001
  • Åhlander, Krister; Munthe-Kaas, Hans. 2005. Applications of the generalized Fourier transform in numerical linear algebra. BIT Numerical Mathematics. Vol. 45, no. 4. 819-850.
  • Åhlander, Krister; Haveraaen, Magne; Munthe-Kaas, Hans. 2002. On Object-Oriented Frameworks and Coordinate Free Formulations of {PDE}s. Engineering with Computers. 18: 286-294.
  • Engø, Kenth; Marthinsen, Arne; Munthe-Kaas, Hans. 2001. DiffMan: An object-oriented MATLAB toolbox for solving differential equations on manifolds. Applied Numerical Mathematics. 39: 323-347.
  • Faltinsen, Stig; Marthinsen, Arne; Munthe-Kaas, Hans. 2001. Multistep methods integrating ordinary differential equations on manifolds. Applied Numerical Mathematics. 39: 349-365.
  • Friis, Helmer Andre; Johansen, Tor Arne; Haveraaen, Magne; Munthe-Kaas, Hans; Drottning, Åsmund. 2001. Use of coordinate free numerics in elastic wave simulation. Applied Numerical Mathematics. 39: 151-171.
  • Munthe-Kaas, Hans; Quispel, G.R.W; Zanna, Antonella. 2001. Generalized Polar Decompositions on Lie Groups witn Involutive Automorphisms. Found. Comput. Math.. 1: 297-324.
  • Munthe-Kaas, Hans; Zanna, Antonella. 2001. Generalized Polar Decompositions for the Approximation of the Matrix Exponential. SIAM Journal on Matrix Analysis and Applications. 23: 840-862.
  • Zanna, Antonella; Munthe-Kaas, Hans; Engø, Kenth. 2001. Adjoint and self-adjoint Lie-group methods. BIT Numerical Mathematics. 41: 395-421.
  • Iserles, Arieh; Munthe-Kaas, Hans; Nørsett, Syvert P.; Zanna, Antonella. 2000. Lie-group methods. Acta Numerica. 9: 215-365.
  • Munthe-Kaas, Hans. 1999. High order Runge-Kutta methods on Manifolds. Applied Numerical Mathematics. 29: 115-127.
  • Munthe-Kaas, Hans; Owren, Brynjulf. 1999. Computations in a Free Lie Algebra. Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences. 357: 957-981.
  • Marthinsen, Arne; Marthinsen, Arne; Munthe-Kaas, Hans; Munthe-Kaas, Hans; Owren, Brynjulf. 1997. Simulation of ordinary differential equations on manifolds : some numerical experiments and verifications. Modeling, Identification and Control. 18: 75-88.
  • Munthe-Kaas, Hans. 1993. Superparallel FFTs. SIAM Journal on Scientific Computing. 14.
Rapporter/avhandlinger
  • McLachlan, Robert I.; Modin, Klas; Munthe-Kaas, Hans; Verdier, Olivier. 2014. B-series methods are exactly the local, affine equivariant methods. arXiv. 25 sider.
  • Munthe-Kaas, Hans; Verdier, Olivier. 2014. Integrators on homogeneous spaces: Isotropy choice and connections. arXiv. 30 sider.
  • Munthe-Kaas, Hans; Verdier, Olivier. 2013. Aromatic Butcher Series. arXiv. 30 sider.
  • Munthe-Kaas, Hans; Krogstad, Stein; Zanna, Antonella. 2003. Generalized Polar Coordinates On Lie Groups And Numerical Integrators. Reports in Informatics. 244. Institutt for informatikk, Bergen.
  • Munthe-Kaas, Hans; Krogstad, Stein. 2002. On enumeration problems in Lie-Butcher theory. http://www.focm.net/gi/gips/. MANGLER.
  • Munthe-Kaas, Hans; Quispel, G.R.W; Zanna, Antonella. 2001. Application of symmetric spaces and Lie-triple systems in numerical analysis. Report in Informatics. 217. MANGLER.
  • Munthe-Kaas, Hans; Quispel, G. R. W.; Zanna, Antonella. 2000. The polar decomposition on Lie groups with involutive automorphisms. Reports in Informatics. UiB, Bergen. 22 sider.
  • Munthe-Kaas, Hans; Quispel, G. R. W.; Zanna, Antonella. 2000. The polar decomposition on Lie groups with involutive automorphisms. Reports in Informatics. UiB, Bergen. 22 sider.
  • Zanna, Antonella; Munthe-Kaas, Hans. 2000. Generalized polar decompositions for the approximation of the matrix exponential. Reports in Informatics. UiB, Bergen. 23 sider.
  • Zanna, Antonella; Munthe-Kaas, Hans. 2000. Generalized polar decompositions for the approximation of the matrix exponential. Reports in Informatics. UiB, Bergen. 23 sider.
  • Engø, Kenth; Marthinsen, Arne; Munthe-Kaas, Hans. 1999. DiffMan, an object oriented MATLAB toolbox for solving differential equations on manifolds. Reports in Informatics. 164. Institutt for Informatikk. 24 sider.
  • Engø, Kenth; Marthinsen, Arne; Munthe-Kaas, Hans. 1999. DiffMan - User's Guide Version 1.6. Reports in Informatics. 166. Institutt for informatikk. 75 sider.
  • Faltinsen, Stig; Marthinsen, Arne; Munthe-Kaas, Hans. 1999. Multistep Methods Integrating Ordinary Differential Equations on Manifolds. Dept. of Mathematics Tech rep.. 3. NTNU, Trondheim.
  • Zanna, Antonella; Engø, Kenth; Munthe-Kaas, Hans. 1999. Adjoint and selfadjoint Lie-group. Numerical Analysis Reports. 2. Numerical Analysis group at DAMTP, University of Cambridge. 25 sider.
  • Engø, Kenth; Marthinsen, Arne; Munthe-Kaas, Hans. 1998. DiffMan - an object oriented MATLAB toolbox for solving differential equations on manifolds: User's Guide (preliminary version). SYNODE.
  • Munthe-Kaas, Hans; Owren, Brynjulf. 1998. Computations in a free Lie algebra. Reports in Informatics. 148. Institutt for informatikk.
  • Engø, Kenth; Marthinsen, Arne; Munthe-Kaas, Hans. 1997. DiffMan - an object oriented MATLAB toolbox for solving differential equations on manifolds: User's Guide. SYNODE. 27 sider.
  • Munthe-Kaas, Hans. 1997. High Order Runge--Kutta Methods on Manifolds. Tech. reports Numerical Analysis. 1997: NA14. DAMTP, University of Cambridge, England.
  • Munthe-Kaas, Hans. 1994. An algebraic theory fro regular mappings on parallel computers. Report in Informatics. 102. UiB-MatNat: Institutt for informatikk.
  • Munthe-Kaas, Hans. 1994. Coordinate Free Numerics, Part 1. Report in Informatics. 101. UiB-MatNat: Institutt for informatikk.
  • Munthe-Kaas, Hans; Aarre, V. 1994. Optimizing overloaded arithmetic operators in C++. Report in Informatics. 95. UiB-MatNat: Institutt for informatikk.
  • Munthe-Kaas, Hans; Arya, S. 1994. 2D Prestack Migration on the MasPar MP-1. Report in Informatics. 93. UiB-MatNat: Institutt for informatikk.
  • Munthe-Kaas, Hans. 1993. Practical parallel permutation procedures. Curriculum I 236 - Parallelle algoritmer. [Mangler utgivernavn]. 16 sider.
  • Munthe-Kaas, Hans. 1992. Generalized shuffle exchange networks. Report in Informatics. 61. [Mangler utgivernavn].
  • Bjørstad, Petter Erling; Cook, Jeremy; Munthe-Kaas, Hans; Sørevik, Tor. 1991. Implementation of a SAR processing algorithm on MasPar MP-1208. [Mangler utgivernavn].
  • Munthe-Kaas, Hans. 1991. Super Parallel FFT's. [Mangler utgivernavn].
  • Munthe-Kaas, Hans; Arioli, A.; Valdettaro, L. 1991. Componentwise error analysis of FFT's with applicatons to fast Helmholz solvers. CERFACS, Toulouse, Frankrike.
Bokkapitler
  • Munthe-Kaas, Hans. 1992. Generalized Shuffle Exchange Networks. I:
    • [Mangler etternavn], [Mangler fornavn]. 1992. Springer Lecture Notes in Computer Science (Proceedings of Conpar-92).

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