Jesús María Sanz-Serna

Orcid: 0000-0001-7284-0971

Affiliations:
  • Charles III University of Madrid, Department of Mathematics, Spain


According to our database1, Jesús María Sanz-Serna authored at least 38 papers between 1984 and 2023.

Collaborative distances:
  • Dijkstra number2 of four.
  • Erdős number3 of four.

Timeline

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Bibliography

2023
A New Optimality Property of Strang's Splitting.
SIAM J. Numer. Anal., June, 2023

Accelerated Bayesian imaging by relaxed proximal-point Langevin sampling.
CoRR, 2023

Adaptive multi-stage integration schemes for Hamiltonian Monte Carlo.
CoRR, 2023

On the connections between optimization algorithms, Lyapunov functions, and differential equations: theory and insights.
CoRR, 2023

2022
Split Hamiltonian Monte Carlo revisited.
Stat. Comput., 2022

2021
Symmetrically Processed Splitting Integrators for Enhanced Hamiltonian Monte Carlo Sampling.
SIAM J. Sci. Comput., 2021

Survey and Review.
SIAM Rev., 2021

The Connections Between Lyapunov Functions for Some Optimization Algorithms and Differential Equations.
SIAM J. Numer. Anal., 2021

Wasserstein distance estimates for the distributions of numerical approximations to ergodic stochastic differential equations.
J. Mach. Learn. Res., 2021

HMC: Reducing the number of rejections by not using leapfrog and some results on the acceptance rate.
J. Comput. Phys., 2021

2020
Contractivity of Runge-Kutta Methods for Convex Gradient Systems.
SIAM J. Numer. Anal., 2020

2019
HMC: avoiding rejections by not using leapfrog and some results on the acceptance rate.
CoRR, 2019

Word-series high-order averaging of highly oscillatory differential equations with delay.
CoRR, 2019

2018
Multi-stage splitting integrators for sampling with modified Hamiltonian Monte Carlo methods.
J. Comput. Phys., 2018

Geometric integrators and the Hamiltonian Monte Carlo method.
Acta Numer., 2018

2017
Palindromic 3-stage splitting integrators, a roadmap.
J. Comput. Phys., 2017

Word Series for Dynamical Systems and Their Numerical Integrators.
Found. Comput. Math., 2017

Erratum to: Higher-Order Averaging, Formal Series and Numerical Integration II: The Quasi-Periodic Case.
Found. Comput. Math., 2017

2016
Symplectic Runge-Kutta Schemes for Adjoint Equations, Automatic Differentiation, Optimal Control, and More.
SIAM Rev., 2016

A Technique for Studying Strong and Weak Local Errors of Splitting Stochastic Integrators.
SIAM J. Numer. Anal., 2016

Adaptive multi-stage integrators for optimal energy conservation in molecular simulations.
J. Comput. Phys., 2016

2015
Extra Chance Generalized Hybrid Monte Carlo.
J. Comput. Phys., 2015

Higher-Order Averaging, Formal Series and Numerical Integration III: Error Bounds.
Found. Comput. Math., 2015

2014
Numerical Integrators for the Hybrid Monte Carlo Method.
SIAM J. Sci. Comput., 2014

2012
A Multiscale Technique for Finding Slow Manifolds of Stiff Mechanical Systems.
Multiscale Model. Simul., 2012

Higher-Order Averaging, Formal Series and Numerical Integration II: The Quasi-Periodic Case.
Found. Comput. Math., 2012

2010
Heterogeneous Multiscale Methods for Mechanical Systems with Vibrations.
SIAM J. Sci. Comput., 2010

Higher-Order Averaging, Formal Series and Numerical Integration I: B-series.
Found. Comput. Math., 2010

2009
Instabilities and Inaccuracies in the Integration of Highly Oscillatory Problems.
SIAM J. Sci. Comput., 2009

2008
Mollified Impulse Methods for Highly Oscillatory Differential Equations.
SIAM J. Numer. Anal., 2008

1999
A shadowing result with applications to finite element approximation of reaction-diffusion equations.
Math. Comput., 1999

1998
Long-Time-Step Methods for Oscillatory Differential Equations.
SIAM J. Sci. Comput., 1998

1997
Explicit Symplectic Integrators Using Hessian-Vector Products.
SIAM J. Sci. Comput., 1997

1993
High-Order Symplectic Runge-Kutta-Nyström Methods.
SIAM J. Sci. Comput., 1993

The Development of Variable-Step Symplectic Integrators, with Application to the Two-Body Problem.
SIAM J. Sci. Comput., 1993

1990
The spectral accuracy of a fully-discrete scheme for a nonlinear third order equation.
Computing, 1990

1989
Convergence analysis of one-step schemes in the method of lines.
Proceedings of the Conference on Numerical Ordinary Differential Equations, USA, 1989, 1989

1984
Convergence of method of lines approximations to partial differential equations.
Computing, 1984


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