Numerical Hamiltonian problems JM Sanz-Serna, MP Calvo Chapman and Hall (Dover edition 2018), 1994 | 2090* | 1994 |
Runge-Kutta schemes for Hamiltonian systems JM Sanz-Serna BIT Numerical Mathematics 28 (4), 877-883, 1988 | 627 | 1988 |
Symplectic integrators for Hamiltonian problems: an overview JM Sanz-Serna Acta Numerica 1, 243-286, 1992 | 577 | 1992 |
Optimal tuning of the hybrid Monte Carlo algorithm A Beskos, N Pillai, G Roberts, JM Sanz-Serna, A Stuart Bernoulli 19 (5A), 1501-1534, 2013 | 388 | 2013 |
Long-time-step methods for oscillatory differential equations B García-Archilla, JM Sanz-Serna, RD Skeel SIAM Journal on Scientific Computing 20 (3), 930-963, 1998 | 305 | 1998 |
On polynomials orthogonal with respect to certain Sobolev inner products A Iserles, PE Koch, SP Nørsett, JM Sanz-Serna Journal of Approximation Theory 65 (2), 151-175, 1991 | 279 | 1991 |
The development of variable-step symplectic integrators, with application to the two-body problem MP Calvo, JM Sanz-Serna SIAM Journal on Scientific Computing 14 (4), 936-952, 1993 | 225 | 1993 |
Conservative and nonconservative schemes for the solution of the nonlinear Schrödinger equation JM Sanz-Serna, JG Verwer IMA Journal of Numerical Analysis 6 (1), 25-42, 1986 | 206 | 1986 |
Methods for the numerical solution of the nonlinear Schrödinger equation JM Sanz-Serna Mathematics of Computation 43 (167), 21-27, 1984 | 203 | 1984 |
A numerical method for a partial integro-differential equation JM Sanz-Serna SIAM Journal on Numerical Analysis 25 (2), 319-327, 1988 | 194 | 1988 |
Product approximation for non-linear problems in the finite element method I Christie, DF Griffiths, AR Mitchell, JM Sanz-Serna IMA Journal of Numerical Analysis 1 (3), 253-266, 1981 | 184 | 1981 |
Hybrid Monte Carlo on Hilbert spaces A Beskos, FJ Pinski, JM Sanz-Serna, AM Stuart Stochastic Processes and their Applications 121 (10), 2201-2230, 2011 | 165 | 2011 |
Convergence and order reduction of Runge-Kutta schemes applied to evolutionary problems in partial differential equations JM Sanz-Serna, JG Verwer, WH Hundsdorfer Numerische Mathematik 50, 405-418, 1986 | 160 | 1986 |
Petrov-Galerkin methods for nonlinear dispersive waves JM Sanz-Serna, I Christie Journal of Computational Physics 39 (1), 94-102, 1981 | 155 | 1981 |
Order conditions for canonical Runge–Kutta schemes JM Sanz-Serna, L Abia SIAM Journal on Numerical Analysis 28 (4), 1081-1096, 1991 | 153 | 1991 |
On the scope of the method of modified equations DF Griffiths, JM Sanz-Serna SIAM Journal on Scientific and Statistical Computing 7 (3), 994-1008, 1986 | 152 | 1986 |
Convergence of method of lines approximations to partial differential equations JG Verwer, JM Sanz-Serna Computing 33, 297--313, 1984 | 147 | 1984 |
Symplectic Runge-Kutta schemes for adjoint equations, automatic differentiation, optimal control, and more JM Sanz-Serna SIAM Review 58 (1), 3-33, 2016 | 126 | 2016 |
Geometric integrators and the Hamiltonian Monte Carlo method N Bou-Rabee, JM Sanz-Serna Acta Numerica (arXiv preprint arXiv:1711.05337) 27, 113-206, 2018 | 119 | 2018 |
An explicit finite-difference scheme with exact conservation properties JM Sanz-Serna Journal of Computational Physics 47 (2), 199-210, 1982 | 114 | 1982 |