2026 Jesús María Sanz-Serna: Mathematics Researcher – H-Index, Publications & Awards

Discipline name	D-Index	World Ranking	Current World Ranking	National Ranking	Current National Ranking	Publications	Citations
Mathematics	49	1139	970	14	14	138	10182

Discipline name

D-Index

World Ranking

Current World Ranking

National Ranking

Current National Ranking

Publications

Citations

Mathematics

1139

970

138

10182

Research.com Recognitions

2013 - Fellow of the American Mathematical Society
2009 - SIAM Fellow For contributions to numerical ordinary differential equations and geometric integration.

Overview

Jesús María Sanz-Serna is affiliated with Carlos III University of Madrid in Spain. Their research primarily spans the field of Mathematics, with a focus on several subfields including Statistics and Probability, Numerical Analysis, Statistical and Nonlinear Physics, Computational Theory and Mathematics, and Control and Systems Engineering.

The main topics covered in their work include:

Markov Chains and Monte Carlo Methods
Model Reduction and Neural Networks
Numerical methods for differential equations
Statistical Methods and Inference
Gaussian Processes and Bayesian Inference
Advanced Optimization Algorithms Research
Matrix Theory and Algorithms

The scientist has published extensively in various venues, with frequent publications in:

arXiv (Cornell University)
SIAM Review
SIAM Journal on Numerical Analysis
Journal of Computational Physics
Statistics and Computing

Some recent papers by Jesús María Sanz-Serna include:

The Connections Between Lyapunov Functions for Some Optimization Algorithms and Differential Equations, 2021, SIAM Journal on Numerical Analysis
Contractivity of Runge--Kutta Methods for Convex Gradient Systems, 2020, SIAM Journal on Numerical Analysis
HMC: Reducing the number of rejections by not using leapfrog and some results on the acceptance rate, 2021, Journal of Computational Physics
Survey and Review, 2021, SIAM Review
Wasserstein distance estimates for the distributions of numerical approximations to ergodic stochastic differential equations, 2021, arXiv (Cornell University)

Frequent collaborators include:

Konstantinos C. Zygalakis
Fernando Casas
Paul Dobson
M. P. Calvo
Luke Shaw

Jesús María Sanz-Serna has received recognition in the form of awards such as:

Fellow of the American Mathematical Society, 2013
SIAM Fellow, 2009, for contributions to numerical ordinary differential equations and geometric integration

Best Publications

Numerical Hamiltonian Problems

J. M. Sanz-Serna;M. P. Calvo

1774
Citations
Runge-Kutta schemes for Hamiltonian systems

J. M. Sanz-Serna

618
Citations
Symplectic integrators for Hamiltonian problems: an overview

J. M. Sanz-Serna

579
Citations
Optimal tuning of the hybrid Monte Carlo algorithm

Alexandros Beskos;Natesh S. Pillai;Gareth O. Roberts;Jesus M. Sanz-Serna

379
Citations
Long-Time-Step Methods for Oscillatory Differential Equations

B. García-Archilla;J. M. Sanz-Serna;R. D. Skeel

295
Citations
On polynomials orthogonal with respect to certain Sobolev inner products

A. Iserles;P. E. Koch;S. P. Nørsett;J. M. Sanz-Serna

275
Citations
The development of variable-step symplectic integrators with application to the two-body problem

M. P. Calvo;J. M. Sanz-Serna

227
Citations
A numerical method for a partial integro-differential equation

J. M. Sanz-Serna

197
Citations
Product Approximation for Non-linear Problems in the Finite Element Method

I. Christie;D. F. Griffiths;A. R. Mitchell;J. M. Sanz-Serna

193
Citations
Hybrid Monte Carlo on Hilbert spaces

Alexandros Beskos;F. J. Pinski;J. M. Sanz-Serna;A. M. Stuart

173
Citations
Convergence and order reduction of Runge-Kutta schemes applied to evolutionary problems in partial differential equations

J. M. Sanz-Serna;J. G. Verwer;W. H. Hundsdorfer

172
Citations
Order conditions for canonical Runge-Kutta schemes

J. M. Sanz-Serna;L. Abia

163
Citations
Petrov-Galerkin methods for nonlinear dispersive waves

J.M Sanz-Serna;I Christie

154
Citations
Convergence of method of lines approximations to partial differential equations

J. G. Verwer;J. M. Sanz-Serna

145
Citations
An explicit finite-difference scheme with exact conservation properties

J.M Sanz-Serna

118
Citations
Geometric integrators and the Hamiltonian Monte Carlo method

Nawaf Bou-Rabee;Jesús María Sanz-Serna

113
Citations
Partitioned Runge-Kutta methods for separable Hamiltonian problems

L. Abia;J. M. Sanz-Serna

110
Citations
Stability and Convergence in Numerical Analysis III: Linear Investigation of Nonlinear Stability

J. C. López-Marcos;J. M. Sanz-Serna

106
Citations
Soliton and antisoliton interactions in the ``good'' Boussinesq equation

V. S. Manoranjan;T. Ortega;J. M. Sanz‐Serna

106
Citations
Randomized Hamiltonian Monte Carlo

Nawaf Bou-Rabee;Jesús María Sanz-Serna;Jesús María Sanz-Serna

105
Citations
Order conditions for numerical integrators obtained by composing simpler integrators

A. Murua;J.M. SanzSerna

102
Citations

Frequent Co-Authors

Jan Verwer Centrum Wiskunde & Informatica

Robert D. Skeel Purdue University West Lafayette

Miguel A. F. Sanjuán King Juan Carlos University

Andrew M. Stuart California Institute of Technology

Ernst Hairer University of Geneva

Stig Larsson Chalmers University of Technology

Gareth O. Roberts University of Warwick

Arieh Iserles University of Cambridge

Willem Hundsdorfer Centrum Wiskunde & Informatica

John C. Butcher University of Auckland

External Links

Wikipedia of Jesús María Sanz-Serna Personal website of Jesús María Sanz-Serna Google Scholar page

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