×

Sanz-Serna, Jesús María

Compute Distance To:
Author ID: sanz-serna.jesus-maria Recent zbMATH articles by "Sanz-Serna, Jesús María"
Published as: Sanz-Serna, J. M.; Sanz-Serna, Jesús María; Sanz Serna, J. M.; Sanz Serna, Jesus; Sanz-Serna, J.-M.; Sanz-Serna, Chus (J. M.); Sanz-Serna, Jesus-Maria; Sanz-Serna, Jesus M.; Sanz-Serna, Jesús M.; Sanz-Serna, J.
Homepage: http://sanzserna.org/
External Links: MGP · ORCID · Wikidata · Google Scholar · dblp · IdRef
Documents Indexed: 158 Publications since 1976, including 6 Books
1 Contribution as Editor · 2 Further Contributions
Reviewing Activity: 76 Reviews
Biographic References: 1 Publication
Co-Authors: 62 Co-Authors with 128 Joint Publications
1,247 Co-Co-Authors
all top 5

Co-Authors

31 single-authored
16 Calvo, M. P.
15 Murua, Ander
9 Christie, Ian
9 Verwer, Jan G.
7 Abia, Luis M.
7 Chartier, Philippe
7 de Frutos, Javier
5 López-marcos, Miguel Ángel
5 Stuart, Andrew M.
4 Griffiths, David F.
4 Ortega, Tomás
4 Skeel, Robert D.
3 Beskos, Alexandros
3 García-Archilla, Bosco
3 Hairer, Ernst
3 Iserles, Arieh
3 Larsson, Stig
3 McLeod, Robin J. Y.
3 Palencia, Cesar
3 Vadillo, Fernando
2 Akhmatskaya, Elena
2 Alamo, A.
2 Blanes, Sergio
2 Blom, Joke G.
2 Bou-Rabee, Nawaf M.
2 Campos, Cédric Martínez
2 Cano, Begoña
2 Casas, Fernando
2 Duran, Angel
2 Eirola, Timo
2 Fernández-Pendás, Mario
2 Ganser, Gary H.
2 Koch, Per Erik
2 López-Marcos, Juan Carlos
2 Manoranjan, Valipuram S.
2 Marquina, Antonio
2 Nørsett, Syvert Paul
2 Paz Calvo, Mari
2 Pillai, Natesh S.
2 Roberts, Gareth O.
2 Tourigny, Yves
2 Zhu, Beibei
2 Zygalakis, Konstantinos C.
1 Adams, Ryan Prescott
1 Anaya-Izquierdo, Karim Alejandro
1 Archambeau, Cédric
1 Ariel, Gil
1 Barthelmé, Simon
1 Beffy, Magali
1 Beyn, Wolf-Jürgen
1 Bhadra, Anindya
1 Bornn, Luke
1 Bouchard, Guillaume
1 Boys, Richard J.
1 Butcher, John C.
1 Calderhead, Ben
1 Campbell, David A.
1 Cao, Jiguo
1 Celledoni, Elena
1 Chen, Yanjiun
1 Chin, Siu A.
1 Chopin, Nicolas
1 Christie, Mike
1 Coolen, Anthony C. C.
1 Cornebise, Julien
1 Cox, David Roxbee
1 Critchley, Frank
1 Dieci, Luca
1 Doblaré, Manuel
1 Dopico, Froilán M.
1 Doucet, Arnaud
1 Draper, David
1 Dryden, Ian L.
1 Durán Martín, Angel
1 Eguchi, Shinto
1 Fairweather, Graeme
1 Fearnhead, Paul
1 Filippone, Maurizio
1 Friel, Nial
1 Gelman, Andrew
1 Girolami, Mark A.
1 Golightly, Andrew
1 Griffin, Jim E.
1 Gripton, Adam
1 Guerrera, Thiago
1 Guglielmi, Nicola
1 Guillas, Serge
1 Gutenkunst, Ryan
1 Haario, Heikki
1 Higham, Desmond J.
1 Holmes, Christopher C.
1 Honkela, Antti
1 Hundsdorfer, Willem H.
1 Husmeier, Dirk
1 Ikeda, Shiro
1 Jacob, Pierre E.
1 Jasra, Ajay
1 Johansen, Adam M.
1 Jupp, Peter E.
1 Kuo, Pen-yu
...and 49 more Co-Authors
all top 5

Serials

18 Journal of Computational Physics
14 IMA Journal of Numerical Analysis
10 Numerische Mathematik
10 SIAM Journal on Numerical Analysis
8 Applied Numerical Mathematics
8 SIAM Journal on Scientific Computing
7 Mathematics of Computation
5 Foundations of Computational Mathematics
4 BIT
3 La Gaceta de la Real Sociedad Matemática Española
2 Computer Methods in Applied Mechanics and Engineering
2 Archiv der Mathematik
2 Computing
2 International Journal for Numerical Methods in Engineering
2 SIAM Journal on Scientific and Statistical Computing
2 Discrete and Continuous Dynamical Systems
1 Journal of Mathematical Analysis and Applications
1 Journal of Mathematical Physics
1 Nonlinearity
1 Applied Mathematics and Computation
1 Collectanea Mathematica
1 Consejo Superior de Investigaciones Cientificas. Instituto ”Jorge Juan”. Gaceta Matematica. 1a Serie
1 Journal of Approximation Theory
1 Journal of Computational and Applied Mathematics
1 Journal of Differential Equations
1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
1 Physica D
1 RAIRO. Modélisation Mathématique et Analyse Numérique
1 Communications in Applied Numerical Methods
1 Numerical Methods for Partial Differential Equations
1 The Annals of Applied Probability
1 SIAM Journal on Applied Mathematics
1 SIAM Review
1 Stochastic Processes and their Applications
1 Bernoulli
1 Journal of the Royal Statistical Society. Series B. Statistical Methodology
1 Philosophical Transactions of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences
1 Discrete and Continuous Dynamical Systems. Series B
1 Stochastics and Dynamics
1 Communications on Pure and Applied Analysis
1 Multiscale Modeling & Simulation
1 Acta Numerica
1 BIT. Nordisk Tidskrift for Informationsbehandling
1 Applied Mathematics and Mathematical Computation
1 Lecture Notes in Mathematics
1 Applied Mathematics and Nonlinear Sciences

Publications by Year

Citations contained in zbMATH Open

136 Publications have been cited 2,825 times in 1,756 Documents Cited by Year
Numerical Hamiltonian problems. Zbl 0816.65042
Sanz-Serna, J. M.; Calvo, M. P.
350
1994
Runge-Kutta schemes for Hamiltonian systems. Zbl 0655.70013
Sanz-Serna, J. M.
139
1988
Riemann manifold Langevin and Hamiltonian Monte Carlo methods. With discussion and authors’ reply. Zbl 1411.62071
Girolami, Mark; Calderhead, Ben
136
2011
On polynomials orthogonal with respect to certain Sobolev inner products. Zbl 0734.42016
Iserles, Arieh; Koch, P. E.; Nørsett, Syvert P.; Sanz-Serna, J. M.
103
1991
Symplectic integrators for Hamiltonian problems: An overview. Zbl 0762.65043
Sanz-Serna, J. M.
102
1992
Long-time-step methods for oscillatory differential equations. Zbl 0927.65143
García-Archilla, B.; Sanz-Serna, J. M.; Skeel, R. D.
81
1999
Product approximation for non-linear problems in the finite element method. Zbl 0469.65072
Christie, I.; Griffiths, D. F.; Mitchell, A. R.; Sanz-Serna, J. M.
73
1981
A numerical method for a partial integro-differential equation. Zbl 0643.65098
Sanz-Serna, J. M.
71
1988
Methods for the numerical solution of the nonlinear Schrödinger equation. Zbl 0555.65061
Sanz-Serna, J. M.
62
1984
Conservative and nonconservative schemes for the solution of the nonlinear Schrödinger equation. Zbl 0593.65087
Sanz-Serna, J. M.; Verwer, J. G.
61
1986
Petrov-Galerkin methods for nonlinear dispersive waves. Zbl 0451.65086
Sanz-Serna, J. M.; Christie, I.
54
1981
Convergence and order reduction of Runge-Kutta schemes applied to evolutionary problems in partial differential equations. Zbl 0589.65069
Sanz-Serna, J. M.; Verwer, J. G.; Hundsdorfer, W. H.
53
1987
Optimal tuning of the hybrid Monte Carlo algorithm. Zbl 1287.60090
Beskos, Alexandros; Pillai, Natesh; Roberts, Gareth; Sanz-Serna, Jesus-Maria; Stuart, Andrew
52
2013
The development of variable-step symplectic integrators, with application to the two-body problem. Zbl 0785.65083
Calvo, M. P.; Sanz-Serna, J. M.
45
1993
Order conditions for canonical Runge-Kutta schemes. Zbl 0785.65085
Sanz-Serna, J. M.; Abia, L.
41
1991
The numerical integration of relative equilibrium solutions. The nonlinear Schrödinger equation. Zbl 0954.65087
Durán, A.; Sanz-Serna, J. M.
39
2000
On the scope of the method of modified equations. Zbl 0613.65079
Griffiths, D. F.; Sanz-Serna, J. M.
38
1986
Convergence of method of lines approximations to partial differential equations. Zbl 0546.65064
Verwer, J. G.; Sanz-Serna, J. M.
36
1984
Soliton and antisoliton interactions in the “good” Boussinesq equation. Zbl 0673.35089
Manoranjan, V. S.; Ortega, T.; Sanz-Serna, J. M.
32
1988
Stability and convergence in numerical analysis. III: Linear investigation of nonlinear stability. Zbl 0695.65042
López-Marcos, J. C.; Sanz-Serna, J. M.
31
1988
Hybrid Monte Carlo on Hilbert spaces. Zbl 1235.60091
Beskos, A.; Pinski, F. J.; Sanz-Serna, J. M.; Stuart, A. M.
30
2011
Pseudospectral method for the ”good” Boussinesq equation. Zbl 0735.65089
de Frutos, J.; Ortega, T.; Sanz-Serna, J. M.
29
1991
An easily implementable fourth-order method for the time integration of wave problems. Zbl 0761.65074
de Frutos, J.; Sanz-Serna, J. M.
28
1992
An explicit finite-difference scheme with exact conservation properties. Zbl 0484.65062
Sanz-Serna, J. M.
27
1982
High-order symplectic Runge-Kutta-Nyström methods. Zbl 0787.65056
Calvo, M. P.; Sanz-Serna, J. M.
27
1993
Nonlinear stability and convergence of finite-difference methods for the ”good” Boussinesq equation. Zbl 0749.65082
Ortega, T.; Sanz-Serna, J. M.
26
1990
Accuracy and conservation properties in numerical integration: The case of the Korteweg-de Vries equation. Zbl 0876.65068
de Frutos, J.; Sanz-Serna, J. M.
26
1997
Partitioned Runge-Kutta methods for separable Hamiltonian problems. Zbl 0777.65042
Abia, L.; Sanz-Serna, J. M.
25
1993
Error growth in the numerical integration of periodic orbits, with application to Hamiltonian and reversible systems. Zbl 0889.65081
Cano, B.; Sanz-Serna, J. M.
24
1997
Higher-order averaging, formal series and numerical integration. I: B-series. Zbl 1211.34052
Chartier, P.; Murua, A.; Sanz-Serna, J. M.
24
2010
Randomized Hamiltonian Monte Carlo. Zbl 1373.60129
Bou-Rabee, Nawaf; Sanz-Serna, Jesús María
23
2017
A finite difference scheme for the \(K(2,2)\) compacton equation. Zbl 0840.65090
de Frutos, J.; López-Marcos, M. A.; Sanz-Serna, J. M.
23
1995
Split-step spectral schemes for nonlinear Dirac systems. Zbl 0675.65131
de Frutos, J.; Sanz-Serna, J. M.
23
1989
A method for the integration in time of certain partial differential equations. Zbl 0514.65085
Sanz-Serna, J. M.; Manoranjan, V. S.
23
1983
Modulated Fourier expansions and heterogeneous multiscale methods. Zbl 1167.65393
Sanz-Serna, J. M.
22
2009
Ergodicity of dissipative differential equations subject to random impulses. Zbl 0934.34047
Sanz-Serna, J. M.; Stuart, A. M.
21
1999
Order conditions for numerical integrators obtained by composing simpler integrators. Zbl 0946.65056
Murua, A.; Sanz-Serna, J. M.
21
1999
Symplectic methods based on decompositions. Zbl 0889.65082
Araújo, A. L.; Murua, A.; Sanz-Serna, J. M.
21
1997
A simple adaptive technique for nonlinear wave problems. Zbl 0653.65087
Sanz-Serna, J. M.; Christie, I.
21
1986
An unconventional symplectic integrator of W. Kahan. Zbl 0815.65090
Sanz-Serna, J. M.
20
1994
Symplectic Runge-Kutta schemes for adjoint equations, automatic differentiation, optimal control, and more. Zbl 1339.65243
Sanz-Serna, J. M.
20
2016
Orthogonality and approximation in a Sobolev space. Zbl 0749.41030
Iserles, Arieh; Sanz-Serna, J. M.; Koch, P. E.; Nørsett, Syvert P.
19
1990
On simple moving grid methods for one-dimensional evolutionary partial differential equations. Zbl 0645.65060
Blom, J. G.; Sanz-Serna, J. M.; Verwer, J. G.
19
1988
Stability and convergence at the PDE/stiff ODE interface. Zbl 0671.65078
Sanz-Serna, J. M.; Verwer, J. G.
18
1989
Geometric integration. Zbl 0886.65074
Sanz-Serna, J. M.
18
1997
The numerical integration of Hamiltonian systems. Zbl 0766.65058
Sanz-Serna, J. M.
17
1992
Numerical stroboscopic averaging for ODEs and DAEs. Zbl 1223.65063
Calvo, M. P.; Chartier, Ph.; Murua, A.; Sanz-Serna, J. M.
17
2011
Mollified impulse methods for highly oscillatory differential equations. Zbl 1169.65081
Sanz-Serna, J. M.
17
2008
Canonical \(B\)-series. Zbl 0791.65049
Calvo, M. P.; Sanz-Serna, J. M.
16
1994
Higher-order averaging, formal series and numerical integration. III: Error bounds. Zbl 1322.34057
Chartier, P.; Murua, A.; Sanz-Serna, J. M.
16
2015
Error growth in the numerical integration of periodic orbits by multistep methods, with application to reversible systems. Zbl 0905.65082
Cano, B.; Sanz-Serna, J. M.
15
1998
Order conditions for canonical Runge-Kutta-Nyström methods. Zbl 0802.65089
Calvo, M. P.; Sanz-Serna, J. M.
15
1992
A formal series approach to averaging: exponentially small error estimates. Zbl 1246.34043
Chartier, Philippe; Murua, Ander; Sanz-Serna, Jesús María
15
2012
Higher-order averaging, formal series and numerical integration. II: The quasi-periodic case. Zbl 1257.34031
Chartier, P.; Murua, A.; Sanz-Serna, J. M.
14
2012
A general equivalence theorem in the theory of discretization methods. Zbl 0599.65034
Sanz-Serna, J. M.; Palencia, C.
13
1985
An adaptive moving grid method for one-dimensional systems of partial differential equations. Zbl 0675.65098
Verwer, J. G.; Blom, J. G.; Sanz-Serna, J. M.
13
1989
Equilibria of Runge-Kutta methods. Zbl 0693.65047
Hairer, E.; Iserles, A.; Sanz-Serna, J. M.
13
1990
Conservation of integrals and symplectic structure in the integration of differential equations by multistep methods. Zbl 0735.65048
Eirola, T.; Sanz-Serna, J. M.
13
1992
Modified equations for ODEs. Zbl 0807.65074
Calvo, M. P.; Murua, A.; Sanz-Serna, J. M.
13
1994
A Hamiltonian, explicit algorithm with spectral accuracy for the ‘good’ Boussinesq system. Zbl 0728.76072
de Frutos, J.; Ortega, T.; Sanz-Serna, J. M.
12
1990
The behavior of finite element solutions of semilinear parabolic problems near stationary points. Zbl 0811.65072
Larsson, S.; Sanz-Serna, J.-M.
12
1994
Explicit symplectic integrators using Hessian-vector products. Zbl 0868.65056
López-Marcos, M. A.; Sanz-Serna, J. M.; Skeel, Robert D.
12
1997
Geometric integrators and the Hamiltonian Monte Carlo method. Zbl 1431.65004
Bou-Rabee, Nawaf; Sanz-Serna, J. M.
12
2018
Word series for dynamical systems and their numerical integrators. Zbl 1369.34022
Murua, A.; Sanz-Serna, J. M.
12
2017
Two topics in nonlinear stability. Zbl 0746.65069
Sanz-Serna, J. M.
11
1991
Numerical integrators for the hybrid Monte Carlo method. Zbl 1312.65209
Blanes, Sergio; Casas, Fernando; Sanz-Serna, J. M.
11
2014
Cheap enhancement of symplectic integrators. Zbl 0843.65050
López-Marcos, M. A.; Sanz-Serna, J. M.; Skeel, R. D.
11
1996
A finite difference formula for the discretization of \(d^ 3/dx^ 3\) on nonuniform grids. Zbl 0727.65011
Garcia-Archilla, B.; Sanz-Serna, J. M.
11
1991
Markov chain Monte Carlo and numerical differential equations. Zbl 1318.65007
Sanz-Serna, J. M.
11
2014
The numerical study of blowup with application to a nonlinear Schrödinger equation. Zbl 0761.65099
Tourigny, Y.; Sanz-Serna, J. M.
10
1992
Convergence of methods for the numerical solution of the Korteweg-de Vries equation. Zbl 0455.65082
Kuo, Pen-Yu; Sanz-Serna, J. M.
10
1981
A definition of stability for nonlinear problems. Zbl 0679.65039
López-Marcos, J. C.; Sanz-Serna, J. M.
10
1988
Remarks on methods for the computation of boundary-element integrals by co-ordinate transformation. Zbl 0693.65012
Sanz-Serna, J.; Doblare, M.; Alarcon, E.
10
1990
A Galerkin method for a nonlinear integro-differential wave system. Zbl 0525.73089
Christie, I.; Sanz-Serna, J. M.
10
1984
Interpolation of the coefficients in nonlinear elliptic Galerkin procedures. Zbl 0542.65042
Sanz-Serna, J. M.; Abia, L.
10
1984
Variable steps for symplectic integrators. Zbl 0795.65049
Calvo, M. P.; Sanz-Serna, J. M.
10
1992
A note on uniform in time error estimates for approximations to reaction- diffusion equations. Zbl 0781.65080
Sanz-Serna, J. M.; Stuart, A. M.
9
1992
Studies in numerical nonlinear instability. I. Why do leapfrog schemes go unstable? Zbl 0612.65052
Sanz-Serna, J. M.
9
1985
Convergence analysis of one-step schemes in the method of lines. Zbl 0671.65077
Sanz-Serna, J. M.; Verwer, J. G.
9
1989
Equivalence theorems for incomplete spaces: An appraisal. Zbl 0559.65033
Palencia, C.; Sanz-Serna, J. M.
9
1984
The non-existence of symplectic multi-derivative Runge-Kutta methods. Zbl 0816.65043
Hairer, E.; Murua, A.; Sanz-Serna, J. M.
9
1994
Extra chance generalized hybrid Monte Carlo. Zbl 1352.65007
Campos, Cédric M.; Sanz-Serna, J. M.
8
2015
Numerical ordinary differential equations vs. dynamical systems. Zbl 0764.34009
Sanz-Serna, J. M.
8
1992
Variable step implementation of geometric integrators. Zbl 0930.65136
Calvo, M. P.; López-Marcos, M. A.; Sanz-Serna, J. M.
8
1998
A study of the recursion \(y_{n+1}=y_ n+\tau y^ m_ n\). Zbl 0599.65086
Sanz-Serna, J. M.; Verwer, J. G.
8
1986
Computing normal forms and formal invariants of dynamical systems by means of word series. Zbl 1334.34087
Murua, A.; Sanz-Serna, J. M.
8
2016
The numerical integration of relative equilibrium solutions. Geometric theory. Zbl 0913.65069
Durán, A.; Sanz-Serna, J. M.
8
1998
A shadowing result with applications to finite element approximation of reaction-diffusion equations. Zbl 0913.65079
Larsson, Stig; Sanz-Serna, J.-M.
7
1999
An extension of the Lax-Richtmyer theory. Zbl 0523.65067
Palencia, C.; Sanz-Serna, J. M.
7
1984
Symplectic Runge-Kutta and related methods: Recent results. Zbl 0779.58019
Sanz-Serna, J. M.
7
1992
The number of conditions for a Runge-Kutta method to have effective order \(p\). Zbl 0867.65039
Butcher, J. C.; Sanz-Serna, J. M.
7
1996
A multiscale technique for finding slow manifolds of stiff mechanical systems. Zbl 1332.65100
Ariel, G.; Sanz-Serna, J. M.; Tsai, R.
7
2012
Studies in numerical nonlinear instability. III. Augmented Hamiltonian systems. Zbl 0632.65129
Sanz-Serna, J. M.; Vadillo, F.
6
1987
Conservation of integrals and symplectic structure in the integration of differential equations by multistep methods. Zbl 0741.65056
Eirola, T.; Sanz-Serna, J. M.
6
1992
Barrelledness conditions on \(c_0(E)\). Zbl 0396.46005
Marquina, A.; Sanz Serna, J. M.
6
1979
Adaptive multi-stage integrators for optimal energy conservation in molecular simulations. Zbl 1422.65447
Fernández-Pendás, Mario; Akhmatskaya, Elena; Sanz-Serna, J. M.
6
2016
Palindromic 3-stage splitting integrators, a roadmap. Zbl 1378.65154
Campos, Cédric M.; Sanz-Serna, J. M.
6
2017
Nonlinear instability, the dynamic approach. Zbl 0651.65060
Sanz-Serna, J. M.; Vadillo, F.
6
1986
Are Gauss-Legendre methods useful in molecular dynamics? Zbl 0856.65083
López-Marcos, M. A.; Sanz-Serna, J. M.; Díaz, J. C.
5
1996
A technique for studying strong and weak local errors of splitting stochastic integrators. Zbl 1353.65004
Alamo, A.; Sanz-Serna, J. M.
5
2016
The connections between Lyapunov functions for some optimization algorithms and differential equations. Zbl 1467.65070
Sanz Serna, J. M.; Zygalakis, K. C.
3
2021
Contractivity of Runge-Kutta methods for convex gradient systems. Zbl 1451.65092
Sanz Serna, J. M.; Zygalakis, K. C.
1
2020
Word combinatorics for stochastic differential equations: splitting integrators. Zbl 1476.60092
Alamo, A.; Sanz-Serna, J. M.
1
2019
Geometric integrators and the Hamiltonian Monte Carlo method. Zbl 1431.65004
Bou-Rabee, Nawaf; Sanz-Serna, J. M.
12
2018
Multi-stage splitting integrators for sampling with modified Hamiltonian Monte Carlo methods. Zbl 1416.65517
Radivojević, Tijana; Fernández-Pendás, Mario; Sanz-Serna, Jesús María; Akhmatskaya, Elena
5
2018
Numerical Hamiltonian problems. Reprint of the 1994 original published by Chapman & Hall. Zbl 1418.65002
Sanz-Serna, Jesús María; Calvo, M. P.
4
2018
Hopf algebra techniques to handle dynamical systems and numerical integrators. Zbl 1409.37082
Murua, Ander; Sanz-Serna, Jesús M.
1
2018
Randomized Hamiltonian Monte Carlo. Zbl 1373.60129
Bou-Rabee, Nawaf; Sanz-Serna, Jesús María
23
2017
Word series for dynamical systems and their numerical integrators. Zbl 1369.34022
Murua, A.; Sanz-Serna, J. M.
12
2017
Palindromic 3-stage splitting integrators, a roadmap. Zbl 1378.65154
Campos, Cédric M.; Sanz-Serna, J. M.
6
2017
Erratum to: “Higher-order averaging, formal series and numerical integration. II: The quasi-periodic case”. Zbl 1418.34097
Chartier, P.; Murua, A.; Sanz-Serna, J. M.
1
2017
Symplectic Runge-Kutta schemes for adjoint equations, automatic differentiation, optimal control, and more. Zbl 1339.65243
Sanz-Serna, J. M.
20
2016
Computing normal forms and formal invariants of dynamical systems by means of word series. Zbl 1334.34087
Murua, A.; Sanz-Serna, J. M.
8
2016
Adaptive multi-stage integrators for optimal energy conservation in molecular simulations. Zbl 1422.65447
Fernández-Pendás, Mario; Akhmatskaya, Elena; Sanz-Serna, J. M.
6
2016
A technique for studying strong and weak local errors of splitting stochastic integrators. Zbl 1353.65004
Alamo, A.; Sanz-Serna, J. M.
5
2016
Vibrational resonance: a study with high-order word-series averaging. Zbl 1432.34058
Murua, A.; Sanz-Serna, J. M.
1
2016
Higher-order averaging, formal series and numerical integration. III: Error bounds. Zbl 1322.34057
Chartier, P.; Murua, A.; Sanz-Serna, J. M.
16
2015
Extra chance generalized hybrid Monte Carlo. Zbl 1352.65007
Campos, Cédric M.; Sanz-Serna, J. M.
8
2015
Numerical integrators for the hybrid Monte Carlo method. Zbl 1312.65209
Blanes, Sergio; Casas, Fernando; Sanz-Serna, J. M.
11
2014
Markov chain Monte Carlo and numerical differential equations. Zbl 1318.65007
Sanz-Serna, J. M.
11
2014
Optimal tuning of the hybrid Monte Carlo algorithm. Zbl 1287.60090
Beskos, Alexandros; Pillai, Natesh; Roberts, Gareth; Sanz-Serna, Jesus-Maria; Stuart, Andrew
52
2013
A formal series approach to averaging: exponentially small error estimates. Zbl 1246.34043
Chartier, Philippe; Murua, Ander; Sanz-Serna, Jesús María
15
2012
Higher-order averaging, formal series and numerical integration. II: The quasi-periodic case. Zbl 1257.34031
Chartier, P.; Murua, A.; Sanz-Serna, J. M.
14
2012
A multiscale technique for finding slow manifolds of stiff mechanical systems. Zbl 1332.65100
Ariel, G.; Sanz-Serna, J. M.; Tsai, R.
7
2012
A stroboscopic numerical method for highly oscillatory problems. Zbl 1246.65116
Paz Calvo, Mari; Chartier, Philippe; Murua, Ander; Sanz-Serna, Jesús María
5
2012
Riemann manifold Langevin and Hamiltonian Monte Carlo methods. With discussion and authors’ reply. Zbl 1411.62071
Girolami, Mark; Calderhead, Ben
136
2011
Hybrid Monte Carlo on Hilbert spaces. Zbl 1235.60091
Beskos, A.; Pinski, F. J.; Sanz-Serna, J. M.; Stuart, A. M.
30
2011
Numerical stroboscopic averaging for ODEs and DAEs. Zbl 1223.65063
Calvo, M. P.; Chartier, Ph.; Murua, A.; Sanz-Serna, J. M.
17
2011
Higher-order averaging, formal series and numerical integration. I: B-series. Zbl 1211.34052
Chartier, P.; Murua, A.; Sanz-Serna, J. M.
24
2010
Heterogeneous multiscale methods for mechanical systems with vibrations. Zbl 1241.65071
Calvo, M. P.; Sanz-Serna, J. M.
5
2010
Carrying an inverted pendulum on a bumpy road. Zbl 1209.34069
Calvo, Mari Paz; Sanz-Serna, Jesús María
1
2010
Modulated Fourier expansions and heterogeneous multiscale methods. Zbl 1167.65393
Sanz-Serna, J. M.
22
2009
Instabilities and inaccuracies in the integration of highly oscillatory problems. Zbl 1190.65186
Calvo, M. P.; Sanz-Serna, J. M.
3
2009
Mollified impulse methods for highly oscillatory differential equations. Zbl 1169.65081
Sanz-Serna, J. M.
17
2008
Stabilizing with a hammer. Zbl 1146.60313
Sanz-Serna, J. M.
1
2008
The numerical integration of relative equilibrium solutions. The nonlinear Schrödinger equation. Zbl 0954.65087
Durán, A.; Sanz-Serna, J. M.
39
2000
Long-time-step methods for oscillatory differential equations. Zbl 0927.65143
García-Archilla, B.; Sanz-Serna, J. M.; Skeel, R. D.
81
1999
Ergodicity of dissipative differential equations subject to random impulses. Zbl 0934.34047
Sanz-Serna, J. M.; Stuart, A. M.
21
1999
Order conditions for numerical integrators obtained by composing simpler integrators. Zbl 0946.65056
Murua, A.; Sanz-Serna, J. M.
21
1999
A shadowing result with applications to finite element approximation of reaction-diffusion equations. Zbl 0913.65079
Larsson, Stig; Sanz-Serna, J.-M.
7
1999
Error growth in the numerical integration of periodic orbits by multistep methods, with application to reversible systems. Zbl 0905.65082
Cano, B.; Sanz-Serna, J. M.
15
1998
Variable step implementation of geometric integrators. Zbl 0930.65136
Calvo, M. P.; López-Marcos, M. A.; Sanz-Serna, J. M.
8
1998
The numerical integration of relative equilibrium solutions. Geometric theory. Zbl 0913.65069
Durán, A.; Sanz-Serna, J. M.
8
1998
Long-time step methods for oscillatory differential equations. Zbl 0902.65026
García-Archilla, B.; Sanz-Serna, J. M.; Skeel, R. D.
2
1998
Accuracy and conservation properties in numerical integration: The case of the Korteweg-de Vries equation. Zbl 0876.65068
de Frutos, J.; Sanz-Serna, J. M.
26
1997
Error growth in the numerical integration of periodic orbits, with application to Hamiltonian and reversible systems. Zbl 0889.65081
Cano, B.; Sanz-Serna, J. M.
24
1997
Symplectic methods based on decompositions. Zbl 0889.65082
Araújo, A. L.; Murua, A.; Sanz-Serna, J. M.
21
1997
Geometric integration. Zbl 0886.65074
Sanz-Serna, J. M.
18
1997
Explicit symplectic integrators using Hessian-vector products. Zbl 0868.65056
López-Marcos, M. A.; Sanz-Serna, J. M.; Skeel, Robert D.
12
1997
Cheap enhancement of symplectic integrators. Zbl 0843.65050
López-Marcos, M. A.; Sanz-Serna, J. M.; Skeel, R. D.
11
1996
The number of conditions for a Runge-Kutta method to have effective order \(p\). Zbl 0867.65039
Butcher, J. C.; Sanz-Serna, J. M.
7
1996
Are Gauss-Legendre methods useful in molecular dynamics? Zbl 0856.65083
López-Marcos, M. A.; Sanz-Serna, J. M.; Díaz, J. C.
5
1996
Backward error analysis of symplectic integrators. Zbl 0871.65079
Sanz-Serna, J. M.
2
1996
A finite difference scheme for the \(K(2,2)\) compacton equation. Zbl 0840.65090
de Frutos, J.; López-Marcos, M. A.; Sanz-Serna, J. M.
23
1995
Lack of dissipativity is not symplecticness. Zbl 0844.65062
Portillo, A.; Sanz-Serna, J. M.
3
1995
Solving numerically Hamiltonian systems. Zbl 0862.70002
Sanz-Serna, J. M.
2
1995
Fourier techniques in numerical methods for evolutionary problems. Zbl 0826.65090
Sanz-Serna, J. M.
1
1995
Numerical Hamiltonian problems. Zbl 0816.65042
Sanz-Serna, J. M.; Calvo, M. P.
350
1994
An unconventional symplectic integrator of W. Kahan. Zbl 0815.65090
Sanz-Serna, J. M.
20
1994
Canonical \(B\)-series. Zbl 0791.65049
Calvo, M. P.; Sanz-Serna, J. M.
16
1994
Modified equations for ODEs. Zbl 0807.65074
Calvo, M. P.; Murua, A.; Sanz-Serna, J. M.
13
1994
The behavior of finite element solutions of semilinear parabolic problems near stationary points. Zbl 0811.65072
Larsson, S.; Sanz-Serna, J.-M.
12
1994
The non-existence of symplectic multi-derivative Runge-Kutta methods. Zbl 0816.65043
Hairer, E.; Murua, A.; Sanz-Serna, J. M.
9
1994
Erring and being conservative. Zbl 0801.65090
de Frutos, J.; Sanz-Serna, J. M.
2
1994
The development of variable-step symplectic integrators, with application to the two-body problem. Zbl 0785.65083
Calvo, M. P.; Sanz-Serna, J. M.
45
1993
High-order symplectic Runge-Kutta-Nyström methods. Zbl 0787.65056
Calvo, M. P.; Sanz-Serna, J. M.
27
1993
Partitioned Runge-Kutta methods for separable Hamiltonian problems. Zbl 0777.65042
Abia, L.; Sanz-Serna, J. M.
25
1993
Shadows, chaos, and saddles. Zbl 0784.65065
Sanz-Serna, J. M.; Larsson, S.
4
1993
Reasons for a failure. The integration of the two-body problem with a symplectic Runge-Kutta-Nyström code with stepchanging facilities. Zbl 0938.65534
Calvo, M. P.; Sanz-Serna, J. M.
1
1993
Symplectic integrators for Hamiltonian problems: An overview. Zbl 0762.65043
Sanz-Serna, J. M.
102
1992
An easily implementable fourth-order method for the time integration of wave problems. Zbl 0761.65074
de Frutos, J.; Sanz-Serna, J. M.
28
1992
The numerical integration of Hamiltonian systems. Zbl 0766.65058
Sanz-Serna, J. M.
17
1992
Order conditions for canonical Runge-Kutta-Nyström methods. Zbl 0802.65089
Calvo, M. P.; Sanz-Serna, J. M.
15
1992
Conservation of integrals and symplectic structure in the integration of differential equations by multistep methods. Zbl 0735.65048
Eirola, T.; Sanz-Serna, J. M.
13
1992
The numerical study of blowup with application to a nonlinear Schrödinger equation. Zbl 0761.65099
Tourigny, Y.; Sanz-Serna, J. M.
10
1992
Variable steps for symplectic integrators. Zbl 0795.65049
Calvo, M. P.; Sanz-Serna, J. M.
10
1992
A note on uniform in time error estimates for approximations to reaction- diffusion equations. Zbl 0781.65080
Sanz-Serna, J. M.; Stuart, A. M.
9
1992
Numerical ordinary differential equations vs. dynamical systems. Zbl 0764.34009
Sanz-Serna, J. M.
8
1992
Symplectic Runge-Kutta and related methods: Recent results. Zbl 0779.58019
Sanz-Serna, J. M.
7
1992
Conservation of integrals and symplectic structure in the integration of differential equations by multistep methods. Zbl 0741.65056
Eirola, T.; Sanz-Serna, J. M.
6
1992
On polynomials orthogonal with respect to certain Sobolev inner products. Zbl 0734.42016
Iserles, Arieh; Koch, P. E.; Nørsett, Syvert P.; Sanz-Serna, J. M.
103
1991
Order conditions for canonical Runge-Kutta schemes. Zbl 0785.65085
Sanz-Serna, J. M.; Abia, L.
41
1991
Pseudospectral method for the ”good” Boussinesq equation. Zbl 0735.65089
de Frutos, J.; Ortega, T.; Sanz-Serna, J. M.
29
1991
Two topics in nonlinear stability. Zbl 0746.65069
Sanz-Serna, J. M.
11
1991
A finite difference formula for the discretization of \(d^ 3/dx^ 3\) on nonuniform grids. Zbl 0727.65011
Garcia-Archilla, B.; Sanz-Serna, J. M.
11
1991
Numerical solution of a hyperbolic system of conservation laws with source term arising in a fluidized bed model. Zbl 0723.76077
Christie, I.; Ganser, G. H.; Sanz-Serna, J. M.
3
1991
A new class of results for the algebraic equations of implicit Runge- Kutta processes. Zbl 0738.65067
Sanz-Serna, J. M.; Griffiths, D. F.
1
1991
A spectral method for a nonlinear equation arising in fluidized bed modelling. Zbl 0734.65081
Abia, L.; Sanz-Serna, J. M.
1
1991
Nonlinear stability and convergence of finite-difference methods for the ”good” Boussinesq equation. Zbl 0749.65082
Ortega, T.; Sanz-Serna, J. M.
26
1990
Orthogonality and approximation in a Sobolev space. Zbl 0749.41030
Iserles, Arieh; Sanz-Serna, J. M.; Koch, P. E.; Nørsett, Syvert P.
19
1990
Equilibria of Runge-Kutta methods. Zbl 0693.65047
Hairer, E.; Iserles, A.; Sanz-Serna, J. M.
13
1990
A Hamiltonian, explicit algorithm with spectral accuracy for the ‘good’ Boussinesq system. Zbl 0728.76072
de Frutos, J.; Ortega, T.; Sanz-Serna, J. M.
12
1990
Remarks on methods for the computation of boundary-element integrals by co-ordinate transformation. Zbl 0693.65012
Sanz-Serna, J.; Doblare, M.; Alarcon, E.
10
1990
The spectral accuracy of a fully-discrete scheme for a nonlinear third order equation. Zbl 0721.65055
Abia, L.; Sanz-Serna, J. M.
4
1990
Split-step spectral schemes for nonlinear Dirac systems. Zbl 0675.65131
de Frutos, J.; Sanz-Serna, J. M.
23
1989
Stability and convergence at the PDE/stiff ODE interface. Zbl 0671.65078
Sanz-Serna, J. M.; Verwer, J. G.
18
1989
An adaptive moving grid method for one-dimensional systems of partial differential equations. Zbl 0675.65098
Verwer, J. G.; Blom, J. G.; Sanz-Serna, J. M.
13
1989
Convergence analysis of one-step schemes in the method of lines. Zbl 0671.65077
Sanz-Serna, J. M.; Verwer, J. G.
9
1989
Stability of schemes for the numerical treatment of an equation modelling fluidized beds. Zbl 0674.76022
Abia, L.; Christie, I.; Sanz-Serna, J. M.
1
1989
Runge-Kutta schemes for Hamiltonian systems. Zbl 0655.70013
Sanz-Serna, J. M.
139
1988
...and 36 more Documents
all top 5

Cited by 2,068 Authors

54 Sanz-Serna, Jesús María
37 Marcellán Español, Francisco
29 Wu, Xinyuan
25 Chartier, Philippe
22 Murua, Ander
21 Wang, Bin
20 Iserles, Arieh
19 Blanes, Sergio
19 Simos, Theodore E.
18 Tang, Yifa
16 Wang, Yushun
15 Brugnano, Luigi
15 Casas, Fernando
14 Butcher, John C.
14 Verwer, Jan G.
14 Xu, Da
13 Cano, Begoña
13 Dağ, İdris
13 Hairer, Ernst
13 Moreno-Balcázar, Juan José
13 Reich, Sebastian
13 Villatoro, Francisco R.
12 Calvo, M. P.
12 Duran, Angel
12 Franco, J. Méndez
12 Quispel, Gilles Reinout Willem
11 Kalogiratou, Zacharoula
11 López-Marcos, Juan Carlos
11 Stuart, Andrew M.
10 Alonso-Mallo, Isaías
10 Calvo, Manuel
10 Ferreira, José Augusto
10 Hong, Jialin
10 Lubich, Christian
10 Montijano, Juan Ignacio
10 Rández, Luis
10 Sharapudinov, Idris Idrisovich
9 Iavernaro, Felice
9 Méhats, Florian
9 Piñar, Miguel A.
9 Shi, Wei
9 Skeel, Robert D.
9 Sun, Yajuan
8 Čiegis, Raimondas
8 Jackiewicz, Zdzislaw
8 Jorge, Juan Carlos
8 McLachlan, Robert I.
8 Palencia, Cesar
8 Pérez, Teresa E.
8 Qin, Mengzhao
8 Sandu, Adrian
8 Tsitouras, Charalampos
8 Vilmart, Gilles
8 Xiao, Aiguo
7 Abia, Luis M.
7 Cai, Wenjun
7 Castillo, Paul E.
7 Celledoni, Elena
7 Gómez, Sergio Alejandro
7 Kulikov, Gennady Yur’evich
7 Laburta, María Pilar
7 Leimkuhler, Benedict J.
7 Liu, Kai
7 Meijer, Henk G.
7 Rus, Francisco
7 Saka, Bülent
7 You, Xiong
6 Bao, Weizhu
6 Cai, Yongyong
6 Cockburn, Bernardo
6 Condon, Marissa
6 Dougalis, Vassilios A.
6 Elenin, G. G.
6 Fejzullahu, Bujar Xh.
6 Hundsdorfer, Willem H.
6 Lemou, Mohammed
6 Liu, Changying
6 López-marcos, Miguel Ángel
6 Miyatake, Yuto
6 Ostermann, Alexander
6 Pinzón-Cortés, Natalia Camila
6 Portillo, A. M.
6 Ramos, Juan I.
6 Rodríguez García, José Manuel
6 Roeger, Lih-Ing Wu
6 Schratz, Katharina
6 Singler, John R.
6 Song, Songhe
6 Sun, Geng
6 Sun, Zhengjie
6 Wang, Jilu
6 Zanna, Antonella
6 Zhang, Jingjing
6 Zhao, Xiaofei
5 Alvarez, Jorge
5 Angulo, Oscar
5 Area, Iván
5 Bou-Rabee, Nawaf M.
5 Bratsos, Athanassios G.
5 Campos, Cédric Martínez
...and 1,968 more Authors
all top 5

Cited in 276 Serials

153 Applied Numerical Mathematics
148 Journal of Computational and Applied Mathematics
133 Journal of Computational Physics
115 Applied Mathematics and Computation
55 Computers & Mathematics with Applications
45 BIT
45 Numerische Mathematik
42 Mathematics of Computation
40 Computer Methods in Applied Mechanics and Engineering
37 Journal of Scientific Computing
36 Numerical Algorithms
33 International Journal of Computer Mathematics
29 Computer Physics Communications
26 Journal of Mathematical Analysis and Applications
22 Physica D
19 Mathematics and Computers in Simulation
18 Physics Letters. A
18 SIAM Journal on Numerical Analysis
18 SIAM Journal on Scientific Computing
16 Journal of Difference Equations and Applications
15 Journal of Approximation Theory
14 Foundations of Computational Mathematics
12 Advances in Computational Mathematics
11 Computing
11 Numerical Methods for Partial Differential Equations
11 Applied Mathematics Letters
11 Mathematical and Computer Modelling
10 Applied Mathematical Modelling
10 Celestial Mechanics and Dynamical Astronomy
10 Communications in Nonlinear Science and Numerical Simulation
9 Chaos, Solitons and Fractals
9 The Annals of Applied Probability
9 Discrete and Continuous Dynamical Systems
9 Journal of Mathematical Chemistry
8 Lithuanian Mathematical Journal
8 Numerical Functional Analysis and Optimization
8 Computational Mathematics and Mathematical Physics
8 Differential Equations
7 Calcolo
7 International Journal for Numerical Methods in Engineering
7 Journal of Nonlinear Science
7 Communications in Numerical Methods in Engineering
7 Abstract and Applied Analysis
7 Journal of Applied Mathematics and Computing
7 Communications in Computational Physics
7 Statistics and Computing
7 Journal of Computational Dynamics
6 Nonlinearity
6 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
6 Applied Mathematics and Mechanics. (English Edition)
6 Acta Applicandae Mathematicae
6 Engineering Analysis with Boundary Elements
6 Bernoulli
6 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
5 Applicable Analysis
5 Wave Motion
5 Archiv der Mathematik
5 RAIRO. Modélisation Mathématique et Analyse Numérique
5 Acta Mathematicae Applicatae Sinica. English Series
5 Computational Mechanics
5 Stochastic Processes and their Applications
5 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
5 Computational and Applied Mathematics
5 Integral Transforms and Special Functions
5 Discrete and Continuous Dynamical Systems. Series B
5 Multiscale Modeling & Simulation
5 Advances in Difference Equations
5 Advances in Applied Mathematics and Mechanics
5 Science China. Mathematics
4 Journal of the Franklin Institute
4 Journal of Mathematical Physics
4 Mathematical Methods in the Applied Sciences
4 Journal of Differential Equations
4 Journal of Integral Equations and Applications
4 Japan Journal of Industrial and Applied Mathematics
4 Indagationes Mathematicae. New Series
4 Regular and Chaotic Dynamics
4 Discrete and Continuous Dynamical Systems. Series S
4 Journal of Computational and Graphical Statistics
4 Bayesian Analysis
3 International Journal for Numerical Methods in Fluids
3 Journal of Statistical Physics
3 Scandinavian Journal of Statistics
3 Proceedings of the American Mathematical Society
3 Results in Mathematics
3 Bulletin of the Iranian Mathematical Society
3 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
3 SIAM Review
3 Mathematical Problems in Engineering
3 Journal of Inequalities and Applications
3 LMS Journal of Computation and Mathematics
3 International Journal of Modern Physics C
3 Mathematical Modelling and Analysis
3 Kinetic and Related Models
3 Symmetry
3 Axioms
3 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
2 Computers and Fluids
2 Inverse Problems
2 Journal of Engineering Mathematics
...and 176 more Serials
all top 5

Cited in 49 Fields

1,372 Numerical analysis (65-XX)
608 Partial differential equations (35-XX)
333 Dynamical systems and ergodic theory (37-XX)
306 Ordinary differential equations (34-XX)
142 Mechanics of particles and systems (70-XX)
137 Fluid mechanics (76-XX)
92 Harmonic analysis on Euclidean spaces (42-XX)
82 Special functions (33-XX)
80 Probability theory and stochastic processes (60-XX)
67 Quantum theory (81-XX)
53 Mechanics of deformable solids (74-XX)
52 Statistical mechanics, structure of matter (82-XX)
47 Biology and other natural sciences (92-XX)
46 Statistics (62-XX)
44 Integral equations (45-XX)
34 Optics, electromagnetic theory (78-XX)
30 Calculus of variations and optimal control; optimization (49-XX)
29 Approximations and expansions (41-XX)
24 Functional analysis (46-XX)
22 Difference and functional equations (39-XX)
20 Computer science (68-XX)
19 Real functions (26-XX)
19 Operator theory (47-XX)
17 Systems theory; control (93-XX)
15 Classical thermodynamics, heat transfer (80-XX)
10 Operations research, mathematical programming (90-XX)
9 Combinatorics (05-XX)
8 Differential geometry (53-XX)
7 Linear and multilinear algebra; matrix theory (15-XX)
7 Associative rings and algebras (16-XX)
7 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
5 Topological groups, Lie groups (22-XX)
5 Geophysics (86-XX)
5 Information and communication theory, circuits (94-XX)
4 History and biography (01-XX)
3 General and overarching topics; collections (00-XX)
3 Algebraic geometry (14-XX)
3 Integral transforms, operational calculus (44-XX)
3 Global analysis, analysis on manifolds (58-XX)
3 Astronomy and astrophysics (85-XX)
2 Nonassociative rings and algebras (17-XX)
2 Functions of a complex variable (30-XX)
1 Number theory (11-XX)
1 Field theory and polynomials (12-XX)
1 Category theory; homological algebra (18-XX)
1 Measure and integration (28-XX)
1 Abstract harmonic analysis (43-XX)
1 Relativity and gravitational theory (83-XX)
1 Mathematics education (97-XX)

Citations by Year

The data are displayed as stored in Wikidata under a Creative Commons CC0 License. Updates and corrections should be made in Wikidata.