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Hans Munthe-Kaas
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Lie-group methods
A Iserles, HZ Munthe-Kaas, SP Nørsett, A Zanna
Acta numerica 9, 215-365, 2000
10272000
High order Runge-Kutta methods on manifolds
H Munthe-Kaas
Applied Numerical Mathematics 29 (1), 115-127, 1999
3611999
Runge-Kutta methods on Lie groups
H Munthe-Kaas
BIT Numerical Mathematics 38, 92-111, 1998
3601998
Computations in a free Lie algebra
H Munthe–Kaas, B Owren
Philosophical Transactions of the Royal Society of London. Series A …, 1999
2111999
Topics in structure-preserving discretization
SH Christiansen, HZ Munthe-Kaas, B Owren
Acta Numerica 20, 1-119, 2011
1722011
Lie-butcher theory for runge-kutta methods
H Munthe-Kaas
BIT Numerical Mathematics 35, 572-587, 1995
1631995
On post-Lie algebras, Lie–Butcher series and moving frames
HZ Munthe-Kaas, A Lundervold
Foundations of Computational Mathematics 13, 583-613, 2013
992013
Numerical integration of differential equations on homogeneous manifolds
H Munthe-Kaas, A Zanna
Foundations of Computational Mathematics: Selected Papers of a Conference …, 1997
951997
On the Hopf algebraic structure of Lie group integrators
HZ Munthe-Kaas, WM Wright
Foundations of Computational Mathematics 8 (2), 227-257, 2008
902008
Globally conservative properties and error estimation of a multi-symplectic scheme for Schrödinger equations with variable coefficients
J Hong, Y Liu, H Munthe-Kaas, A Zanna
Applied Numerical Mathematics 56 (6), 814-843, 2006
872006
On the Lie enveloping algebra of a post-Lie algebra
K Ebrahimi-Fard, A Lundervold, H Munthe-Kaas
arXiv preprint arXiv:1410.6350, 2014
582014
Generalized polar decompositions on Lie groups with involutive automorphisms
HZ Munthe-Kaas, GRW Quispel, A Zanna
Foundations of Computational Mathematics 1, 297-324, 2001
582001
Generalized polar decompositions for the approximation of the matrix exponential
A Zanna, HZ Munthe-Kaas
SIAM journal on matrix analysis and applications 23 (3), 840-862, 2002
512002
Localization in matrix computations: theory and applications
M Benzi, D Bini, D Kressner, H Munthe-Kaas, C Van Loan, M Benzi
Exploiting hidden structure in matrix computations: algorithms and …, 2016
452016
B-series methods are exactly the affine equivariant methods
RI McLachlan, K Modin, H Munthe-Kaas, O Verdier
Numerische Mathematik 133, 599-622, 2016
44*2016
On multivariate Chebyshev polynomials and spectral approximations on triangles
BN Ryland, HZ Munthe-Kaas
Spectral and High Order Methods for Partial Differential Equations: Selected …, 2010
412010
Adjoint and selfadjoint Lie-group methods
A Zanna, K Engø, HZ Munthe-Kaas
BIT Numerical Mathematics 41, 395-421, 2001
362001
Simulation of ordinary differential equations on manifolds: some numerical experiments and verifications
A Marthinsen, H Munthe-Kaas, B Owren
361997
Aromatic Butcher series
H Munthe-Kaas, O Verdier
Foundations of Computational Mathematics 16, 183-215, 2016
352016
Hopf algebras of formal diffeomorphisms and numerical integration on manifolds
A Lundervold, H Munthe-Kaas
Contemp. Math 539, 295-324, 2011
352011
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