Practical symplectic partitioned Runge–Kutta and Runge–Kutta–Nyström methods S Blanes, PC Moan Journal of Computational and Applied Mathematics 142 (2), 313-330, 2002 | 295 | 2002 |
Convergence of the Magnus series PC Moan, J Niesen Foundations of Computational Mathematics 8, 291-301, 2008 | 134 | 2008 |
Fourth-and sixth-order commutator-free Magnus integrators for linear and non-linear dynamical systems S Blanes, PC Moan Applied Numerical Mathematics 56 (12), 1519-1537, 2006 | 109 | 2006 |
Splitting methods for the time-dependent Schrödinger equation S Blanes, PC Moan Physics letters A 265 (1-2), 35-42, 2000 | 87 | 2000 |
Efficient approximation of Sturm-Liouville problems using Lie-group methods PC Moan UNIVERSITY OF CAMBRIDGE DEPARTMENT OF APPLIED MATHEMATICS AND THEORETICAL …, 1998 | 62* | 1998 |
Splitting methods for non-autonomous Hamiltonian equations S Blanes, PC Moan Journal of Computational Physics 170 (1), 205-230, 2001 | 50 | 2001 |
Convergence of the exponential Lie series PC Moan, JA Oteo Journal of Mathematical Physics 42 (1), 501-508, 2001 | 48 | 2001 |
On the existence of the exponential solution of linear differential systems PC Moan, JA Oteo, J Ros Journal of Physics A: Mathematical and General 32 (27), 5133, 1999 | 41 | 1999 |
On backward error analysis and Nekhoroshev stability in the numerical analysis of conservative systems of ODEs PC Moan University of Cambridge, 2002 | 23 | 2002 |
On the KAM and Nekhoroshev theorems for symplectic integrators and implications for error growth PC Moan Nonlinearity 17 (1), 67, 2003 | 20 | 2003 |
On modified equations for discretizations of ODEs PC Moan Journal of Physics A: Mathematical and General 39 (19), 5545, 2006 | 11 | 2006 |
Practical symplectic partitioned Runge–Kutta and Runge–Kutta–Nyström methods S Blanesa, PC Moan J. Comput. Appl. Math 142, 313-330, 2002 | 8 | 2002 |
On rigorous modified equations for discretizations of ODEs PC Moan Technical Report 2005-3, Geometric Integration Preprint Server, 2005 …, 2005 | 6 | 2005 |
Symplectic elementary differential Runge–Kutta methods PC Moan, A Murua, GRW Quispel, M Sofroniou, G Spaletta preprint, 2003 | 6 | 2003 |
The numerical solution of ordinary differential equations with conservation laws PC Moan Master's thesis, The Norwegian University of Science and Technology, 1996 | 5 | 1996 |
On an asymptotic method for computing the modified energy for symplectic methods PC Moan, J Niesen arXiv preprint arXiv:1304.0673, 2013 | 4 | 2013 |
Splitting methods for non-autonomous differential equations S Blanes, PC Moan UNIVERSITY OF CAMBRIDGE DEPARTMENT OF APPLIED MATHEMATICS AND THEORETICAL …, 1999 | 3 | 1999 |