Lie-group methods A Iserles, HZ Munthe-Kaas, SP Nørsett, A Zanna Acta numerica 9, 215-365, 2000 | 1026 | 2000 |
High order Runge-Kutta methods on manifolds H Munthe-Kaas Applied Numerical Mathematics 29 (1), 115-127, 1999 | 361 | 1999 |
Runge-Kutta methods on Lie groups H Munthe-Kaas BIT Numerical Mathematics 38, 92-111, 1998 | 360 | 1998 |
Computations in a free Lie algebra H Munthe–Kaas, B Owren Philosophical Transactions of the Royal Society of London. Series A …, 1999 | 211 | 1999 |
Topics in structure-preserving discretization SH Christiansen, HZ Munthe-Kaas, B Owren Acta Numerica 20, 1-119, 2011 | 172 | 2011 |
Lie-butcher theory for runge-kutta methods H Munthe-Kaas BIT Numerical Mathematics 35, 572-587, 1995 | 163 | 1995 |
On post-Lie algebras, Lie–Butcher series and moving frames HZ Munthe-Kaas, A Lundervold Foundations of Computational Mathematics 13, 583-613, 2013 | 99 | 2013 |
Numerical integration of differential equations on homogeneous manifolds H Munthe-Kaas, A Zanna Foundations of Computational Mathematics: Selected Papers of a Conference …, 1997 | 95 | 1997 |
On the Hopf algebraic structure of Lie group integrators HZ Munthe-Kaas, WM Wright Foundations of Computational Mathematics 8 (2), 227-257, 2008 | 89 | 2008 |
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 | 87 | 2006 |
On the Lie enveloping algebra of a post-Lie algebra K Ebrahimi-Fard, A Lundervold, H Munthe-Kaas arXiv preprint arXiv:1410.6350, 2014 | 58 | 2014 |
Generalized polar decompositions on Lie groups with involutive automorphisms HZ Munthe-Kaas, GRW Quispel, A Zanna Foundations of Computational Mathematics 1, 297-324, 2001 | 58 | 2001 |
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 | 51 | 2002 |
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 | 45 | 2016 |
B-series methods are exactly the affine equivariant methods RI McLachlan, K Modin, H Munthe-Kaas, O Verdier Numerische Mathematik 133, 599-622, 2016 | 43* | 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 | 41 | 2010 |
Adjoint and selfadjoint Lie-group methods A Zanna, K Engø, HZ Munthe-Kaas BIT Numerical Mathematics 41, 395-421, 2001 | 36 | 2001 |
Simulation of ordinary differential equations on manifolds: some numerical experiments and verifications A Marthinsen, H Munthe-Kaas, B Owren | 36 | 1997 |
Aromatic Butcher series H Munthe-Kaas, O Verdier Foundations of Computational Mathematics 16, 183-215, 2016 | 34 | 2016 |
Matrices with hierarchical low-rank structures M Benzi, D Bini, D Kressner, H Munthe-Kaas, C Van Loan, J Ballani, ... Exploiting Hidden Structure in Matrix Computations: Algorithms and …, 2016 | 34 | 2016 |