2023
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1. |
Laurent, Adrien Ange Andre; Mclachlan, Robert I.; Munthe-Kaas, Hans Zanna; Verdier, Olivier Philippe Paul. The aromatic bicomplex for the description of divergence-free aromatic forms and volume-preserving integrators. Forum of Mathematics, Sigma 2023 ;Volum 11. s. - UiB UiT HVL
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2021
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2. |
Cohen, Albert; Dahmen, Wolfgang; Munthe-Kaas, Hans Zanna; Sombra, Martín; Szanto, Agnes. Correction to: Preface (Foundations of Computational Mathematics, (2019), 19, 5, (963-964), 10.1007/s10208-019-09434-y). Foundations of Computational Mathematics 2021 s. - UiB
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3. |
Fløystad, Gunnar; Munthe-Kaas, Hans; Manchon, Dominique. The universal pre-Lie Rinehart algebras of aromatic trees. Springer Proceedings in Mathematics & Statistics 2021 ;Volum 366. s. 157-159 UiB
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2020
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4. |
Curry, Charles Henry Alexander; Ebrahimi-Fard, Kurusch; Manchon, Dominique; Munthe-Kaas, Hans Zanna. Planarly branched rough paths and rough differential equations on homogeneous spaces. Journal of Differential Equations 2020 ;Volum 269.(11) s. 9740-9782 NTNU UiB
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5. |
Munthe-Kaas, Hans Zanna; Stern, Ari; Verdier, Olivier. Invariant connections, Lie algebra actions, and foundations of numerical integration on manifolds. SIAM Journal on applied algebra and geometry 2020 ;Volum 4.(1) s. 49-68 HVL UiB
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2019
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6. |
Curry, Charles Henry Alexander; Ebrahimi-Fard, Kurusch; Munthe-Kaas, Hans. What is a post-Lie algebra and why is it useful in geometric integration. Lecture Notes in Computational Science and Engineering 2019 ;Volum 126. s. 429-437 NTNU UiB
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7. |
Fløystad, Gunnar; Munthe-Kaas, Hans. Pre- and post-lie algebras: The algebro-geometric view. Abel Symposia 2019 ;Volum 13. s. 321-367 UiB
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2018
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8. |
Celledoni, Elena; Di Nunno, Giulia; Ebrahimi-Fard, Kurusch; Munthe-Kaas, Hans. Computation and Combinatorics in Dynamics, Stochastics and Control. Springer 2018 (ISBN 978-3-030-01592-3) ;Volum 13.737 s. Abel Symposia(1) NTNU UiB UiO
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9. |
Munthe-Kaas, Hans; Andersen, Heidi Lie. Bergens nye attraksjon. Bergensavisen [Avis] 2018-09-29 UiB
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10. |
Munthe-Kaas, Hans; Føllesdal, Kristoffer Kristiansen. Lie-Butcher series, Geometry, Algebra and Computation. Springer Proceedings in Mathematics & Statistics 2018 ;Volum 267. s. 71-113 UiB
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11. |
Munthe-Kaas, Hans; Lundervold, 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 UiB
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2017
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12. |
Ebrahimi-Fard, Kurusch; Mencattini, Igor; Munthe-Kaas, Hans. Post-Lie algebras and factorization theorems. Journal of Geometry and Physics 2017 ;Volum 119. s. 19-33 NTNU UiB
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2016
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13. |
Munthe-Kaas, Hans. Groups and symmetries in numerical linear algebra. Lecture notes in mathematics 2016 ;Volum 2173. s. 319-406 UiB
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14. |
Munthe-Kaas, Hans; Verdier, Olivier. Integrators on homogeneous spaces: Isotropy choice and connections. Foundations of Computational Mathematics 2016 ;Volum 16.(1) s. 183-215 UiB
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2015
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15. |
Ebrahimi-Fard, Kurusch; Lundervold, Alexander; Mencattini, Igor; Munthe-Kaas, Hans. Post-lie algebras and isospectral flows. SIGMA. Symmetry, Integrability and Geometry 2015 ;Volum 11:093. HVL UiB
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16. |
Ebrahimi-Fard, Kurusch; Lundervold, Alexander; Munthe-Kaas, Hans. On the Lie enveloping algebra of a post-Lie algebra. Journal of Lie theory 2015 ;Volum 25.(4) s. 1139-1165 HVL UiB
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17. |
Lundervold, Alexander; Munthe-Kaas, Hans. On algebraic structures of numerical integration on vector spaces and manifolds. I: Faà di Bruno Hopf algebras, Dyson-Schwinger Equations, and Lie-Butcher series. European Mathematical Society (EMS) Publishing House 2015 ISBN 978-3-03719-143-9. s. 219-264 HVL UiB
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18. |
McLachlan, Robert I.; Modin, Klas; Munthe-Kaas, Hans; Verdier, Olivier. B-series methods are exactly the affine equivariant methods. Numerische Mathematik 2015 ;Volum 133.(3) s. 599-622 UiB HVL
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19. |
Munthe-Kaas, Hans. Geometry and algebra of Buther- and Lie-Butcher series. Brainstorming Workshop on New Developments in Discrete Mechanics, Geometric Integration and Lie-Butcher Series; 2015-05-25 - 2015-05-28 UiB
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20. |
Munthe-Kaas, Hans. Groups and symmetries in numerical linear algebra (6 hours lectures). CIME - EMS summer school; 2015-06-22 - 2015-06-26 UiB
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21. |
Munthe-Kaas, Hans. Numerical integration, structure preservation and combinatorics (4 hrs lectures). New interactions of Combinatorics and Probability; 2015-08-24 - 2015-09-04 UiB
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22. |
Munthe-Kaas, Hans; Verdier, Olivier. Aromatic Butcher Series. Foundations of Computational Mathematics 2015 ;Volum 16.(1) s. 185-215 UiB
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2014
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23. |
Bartha, Ferenc Agoston; Munthe-Kaas, Hans. Computing of B-series by automatic differentiation. Discrete and Continuous Dynamical Systems. Series A 2014 ;Volum 34.(3) s. 903-914 UiB
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24. |
McLachlan, Robert I.; Modin, Klas; Munthe-Kaas, Hans; Verdier, Olivier. B-series methods are exactly the local, affine equivariant methods. : arXiv 2014 25 s. UiB
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25. |
Munthe-Kaas, Hans; Quispel, Reinout; Zanna, Antonella. Symmetric spaces and Lie triple systems in numerical analysis of differential equations. BIT Numerical Mathematics 2014 ;Volum 54. s. 257-282 UiB
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26. |
Munthe-Kaas, Hans; Verdier, Olivier. Integrators on homogeneous spaces: Isotropy choice and connections. : arXiv 2014 30 s. UiB
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27. |
Zanna, Antonella; Munthe-Kaas, Hans; Quispel, Reinout. Symmetries and reversing symmetries in differential equations and linear algebra. TUM Colloquium; 2014-06-25 - 2014-06-25 UiB
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2013
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28. |
Lundervold, Alexander; Munthe-Kaas, Hans. Backward Error Analysis and the Substitution Law for Lie Group Integrators. Foundations of Computational Mathematics 2013 ;Volum 13.(2) s. 161-186 UiB NTNU
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29. |
Munthe-Kaas, Hans. On post-Lie algebras, Lie-Butcher series and moving frames. ANODE 2013.; 2013-01-07 - 2013-01-11 UiB
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30. |
Munthe-Kaas, Hans; Lundervold, Alexander. On post-lie algebras, lie-butcher series and moving frames. Foundations of Computational Mathematics 2013 ;Volum 13.(4) s. 583-613 UiB
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2012
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31. |
Ebrahimi-Fard, Kurusch; Lundervold, Alexander; Malham, Simon J. A.; Munthe-Kaas, Hans; Wiese, Anke. Algebraic structure of stochastic expansions and efficient simulation. Proceedings of the Royal Society. Mathematical, Physical and Engineering Sciences 2012 ;Volum 468.(2144) s. 2361-2382 UiB NTNU
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32. |
Munthe-Kaas, Hans; Sørevik, Tor. Multidimensional pseudo-spectral methods on lattice grids. Applied Numerical Mathematics 2012 ;Volum 62.(3) s. 155-165 UiB
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2011
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33. |
Christiansen, Snorre H; Munthe-Kaas, Hans; Owren, Brynjulf. Topics in structure-preserving discretization. Acta Numerica 2011 ;Volum 20. s. 1-119 NTNU UiB UiO
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34. |
Munthe-Kaas, Hans; Lundervold, Alexander. Hopf algebras of formal diffeomorphisms and numerical integration on manifolds. Contemporary Mathematics 2011 ;Volum 539. NTNU UiB
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35. |
Munthe-Kaas, Hans; Ryland, Brett Nicholas. On Multivariate Chebyshev Polynomials and Spectral Approxi- mations on Triangles. Lecture Notes in Computational Science and Engineering 2011 ;Volum 76. s. 19-41 UiB
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2009
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36. |
Krogstad, Stein; Munthe-Kaas, Hans; Zanna, Antonella. Generalized polar coordinates on Lie groups and numerical integrators. Numerische Mathematik 2009 ;Volum 114.(1) s. 161-187 UiB SINTEF
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2008
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37. |
Mclachlan, Robert, i; Munthe-Kaas, Hans; Quispel, Reinout; Zanna, Antonella. Explicit Volume-Preserving Splitting Methods for Linear and Quadratic Divergence-Free Vector Fields. Foundations of Computational Mathematics 2008 ;Volum 8.(3) s. 335-355 UiB
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38. |
Mclachlan, Robert, i; Munthe-Kaas, Hans; Quispel, Reinout; Zanna, Antonella. Guest Editors' Preface. Foundations of Computational Mathematics 2008 ;Volum 8.(3) s. 289-290 UiB
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39. |
Munthe-Kaas, Hans; Wright, Will M.. On the Hopf algebraic structure of Lie group integrators. Foundations of Computational Mathematics 2008 ;Volum 8.(2) s. 227-257 UiB
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2006
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40. |
Hong, Jialin; Ying, Liu; Munthe-Kaas, Hans; Zanna, Antonella. Globally conservative properties and error estimation of a multi-symplectic scheme for Schrödinger equations with variable coefficients. Applied Numerical Mathematics 2006 ;Volum 56.(6) s. 814-843 UiB
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41. |
Mclachlan, Robert, i; Munthe-Kaas, Hans; Quispel, Reinout; Zanna, Antonella. Explicit volume preserving methods for divergence-free polynomial vector fields. STRUCTURAL DYNAMICAL SYSTEMS: Computational Aspects; 2006-06-13 - 2006-06-16 UiB
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42. |
Mclachlan, Robert, i; Munthe-Kaas, Hans; Quispel, Reinout; Zanna, Antonella. Explicit, volume preserving splitting methods for divergence-free polynomial vector fields. Seminar on Numerical Analysis and Geometric Integration; 2006-06-09 UiB
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43. |
Mclachlan, Robert, i; Munthe-Kaas, Hans; Quispel, Reinout; Zanna, Antonella. Volume preserving splitting methods for divergence free vector fields. Manifolds and Geometric Integration Colloquia (MaGIC) 2006; 2006-03-07 - 2006-03-09 UiB
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44. |
Munthe-Kaas, Hans. On group Fourier analysis and symmetry preserving discretizations of PDEs. Journal of Physics A: Mathematical and General 2006 ;Volum 39. s. 5563-5584 UiB
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45. |
Åhlander, Krister; Munthe-Kaas, Hans. Eigenvalues for equivariant matrices. Journal of Computational and Applied Mathematics 2006 ;Volum 192.(1) s. 89-99 UiB
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2005
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46. |
Haveraaen, Magne; Friis, Helmer Andre; Munthe-Kaas, Hans. Computable Scalar Fields: a basis for {PDE} software. Journal of Logic and Algebraic Programming 2005 ;Volum 65.(1) s. 36-49 UiB NORCE
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47. |
Åhlander, Krister; Munthe-Kaas, Hans. Applications of the generalized Fourier transform in numerical linear algebra. BIT Numerical Mathematics 2005 (Vol. 45, no. 4) s. 819-850 UiB
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2003
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48. |
Munthe-Kaas, Hans; Krogstad, Stein; Zanna, Antonella. Generalized Polar Coordinates On Lie Groups And Numerical Integrators. Bergen: Institutt for informatikk 2003 Reports in Informatics(244) UiB
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49. |
Munthe-Kaas, Hans; Zanna, Antonella. Numerical methods for the computation of exponential of matrices. Dipartimento di Matematica, Universita' di Bari; 2003-12-01 UiB
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2002
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50. |
Munthe-Kaas, Hans. Introduction to Lie group integrators. MANGLER; 2002-01-01 UiB
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