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JM Sanz-Serna
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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
6301988
Symplectic integrators for Hamiltonian problems: an overview
JM Sanz-Serna
Acta Numerica 1, 243-286, 1992
5781992
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
3882013
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
3061998
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
2661991
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
2251993
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
2071986
Methods for the numerical solution of the nonlinear Schrödinger equation
JM Sanz-Serna
Mathematics of Computation 43 (167), 21-27, 1984
2031984
A numerical method for a partial integro-differential equation
JM Sanz-Serna
SIAM Journal on Numerical Analysis 25 (2), 319-327, 1988
1961988
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
1821981
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
1652011
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
1641986
Petrov-Galerkin methods for nonlinear dispersive waves
JM Sanz-Serna, I Christie
Journal of Computational Physics 39 (1), 94-102, 1981
1551981
Order conditions for canonical Runge–Kutta schemes
JM Sanz-Serna, L Abia
SIAM Journal on Numerical Analysis 28 (4), 1081-1096, 1991
1541991
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
1521986
Convergence of method of lines approximations to partial differential equations
JG Verwer, JM Sanz-Serna
Computing 33, 297--313, 1984
1461984
Symplectic Runge-Kutta schemes for adjoint equations, automatic differentiation, optimal control, and more
JM Sanz-Serna
SIAM Review 58 (1), 3-33, 2016
1282016
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
1182018
An explicit finite-difference scheme with exact conservation properties
JM Sanz-Serna
Journal of Computational Physics 47 (2), 199-210, 1982
1151982
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