World's Best Scientists 2026 revealed!
Jesús María Sanz-Serna

Jesús María Sanz-Serna

D-Index & Metrics

Mathematics

D-Index
49
Citations
10182
World Ranking
1139
National Ranking
14

Jesús María Sanz-Serna publication distribution in Mathematics in 2026

The chart shows the distribution of publications by all Research.com ranked scientists in the field of Mathematics in 2026. The highlighted bar marks where Jesús María Sanz-Serna sits on this spectrum.

42–46 publications: 3 scientists 47–51 publications: 5 scientists 52–56 publications: 7 scientists 57–61 publications: 20 scientists 62–66 publications: 14 scientists 67–71 publications: 25 scientists 72–76 publications: 19 scientists 77–81 publications: 35 scientists 82–86 publications: 50 scientists 87–91 publications: 60 scientists 92–96 publications: 86 scientists 97–101 publications: 84 scientists 102–106 publications: 83 scientists 107–111 publications: 90 scientists 112–116 publications: 99 scientists 117–121 publications: 90 scientists 122–126 publications: 91 scientists 127–131 publications: 109 scientists 132–136 publications: 110 scientists 137–141 publications: 98 scientists 142–146 publications: 112 scientists 147–151 publications: 102 scientists 152–156 publications: 88 scientists 157–161 publications: 106 scientists 162–166 publications: 83 scientists 167–171 publications: 102 scientists 172–176 publications: 77 scientists 177–181 publications: 81 scientists 182–186 publications: 78 scientists 187–191 publications: 71 scientists 192–196 publications: 92 scientists 197–201 publications: 64 scientists 202–206 publications: 69 scientists 207–211 publications: 64 scientists 212–216 publications: 62 scientists 217–221 publications: 58 scientists 222–226 publications: 53 scientists 227–231 publications: 50 scientists 232–236 publications: 46 scientists 237–241 publications: 46 scientists 242–246 publications: 46 scientists 247–251 publications: 43 scientists 252–256 publications: 29 scientists 257–261 publications: 45 scientists 262–266 publications: 30 scientists 267–271 publications: 33 scientists 272–276 publications: 34 scientists 277–281 publications: 30 scientists 282–286 publications: 31 scientists 287–291 publications: 21 scientists 292–296 publications: 34 scientists 297–301 publications: 26 scientists 302–306 publications: 10 scientists 307–311 publications: 17 scientists 312–316 publications: 23 scientists 317–321 publications: 13 scientists 322–326 publications: 16 scientists 327–331 publications: 26 scientists 332–336 publications: 13 scientists 337–341 publications: 13 scientists 342–346 publications: 16 scientists 347–351 publications: 17 scientists 352–356 publications: 12 scientists 357–361 publications: 18 scientists 362–366 publications: 18 scientists 367–371 publications: 9 scientists 372–376 publications: 11 scientists 377–381 publications: 8 scientists 382–386 publications: 8 scientists 387–391 publications: 9 scientists 392–396 publications: 9 scientists 397–401 publications: 8 scientists 402–406 publications: 11 scientists 407–411 publications: 6 scientists 412–416 publications: 6 scientists 417–421 publications: 9 scientists 422–426 publications: 8 scientists 427–431 publications: 5 scientists 432–436 publications: 8 scientists 437–441 publications: 8 scientists 442–446 publications: 4 scientists 447–451 publications: 4 scientists 452–456 publications: 4 scientists 457–461 publications: 2 scientists 462–466 publications: 2 scientists 467–471 publications: 4 scientists 472–476 publications: 3 scientists 477–481 publications: 3 scientists 482–486 publications: 6 scientists 487–491 publications: 3 scientists 492–496 publications: 5 scientists 497–501 publications: 5 scientists 502–506 publications: 1 scientists 507–511 publications: 6 scientists 512–516 publications: 4 scientists 517–521 publications: 1 scientists 522–526 publications: 3 scientists 527–531 publications: 1 scientists 532–536 publications: 4 scientists 537+ publications: 100 scientists
42 publications 537+

This scientist: 138 publications — 31st percentile

31% of scientists in this discipline score the same or lower.

The last bar groups every scientist with 537 publications or more.

Jesús María Sanz-Serna D-index placement in Mathematics in 2026

The chart shows the D-index (discipline H-index) distribution of Mathematics scientists ranked by Research.com in 2026. The highlighted bar marks where Jesús María Sanz-Serna sits on this spectrum.

30 D-Index: 174 scientists 31 D-Index: 151 scientists 32 D-Index: 174 scientists 33 D-Index: 117 scientists 34 D-Index: 136 scientists 35 D-Index: 127 scientists 36 D-Index: 145 scientists 37 D-Index: 153 scientists 38 D-Index: 150 scientists 39 D-Index: 150 scientists 40 D-Index: 138 scientists 41 D-Index: 136 scientists 42 D-Index: 93 scientists 43 D-Index: 108 scientists 44 D-Index: 115 scientists 45 D-Index: 112 scientists 46 D-Index: 103 scientists 47 D-Index: 75 scientists 48 D-Index: 59 scientists 49 D-Index: 67 scientists 50 D-Index: 60 scientists 51 D-Index: 57 scientists 52 D-Index: 59 scientists 53 D-Index: 62 scientists 54 D-Index: 60 scientists 55 D-Index: 50 scientists 56 D-Index: 42 scientists 57 D-Index: 54 scientists 58 D-Index: 50 scientists 59 D-Index: 42 scientists 60 D-Index: 41 scientists 61 D-Index: 35 scientists 62 D-Index: 40 scientists 63 D-Index: 21 scientists 64 D-Index: 31 scientists 65 D-Index: 27 scientists 66 D-Index: 29 scientists 67 D-Index: 19 scientists 68 D-Index: 25 scientists 69 D-Index: 17 scientists 70 D-Index: 18 scientists 71 D-Index: 12 scientists 72 D-Index: 14 scientists 73 D-Index: 13 scientists 74 D-Index: 18 scientists 75 D-Index: 9 scientists 76 D-Index: 11 scientists 77 D-Index: 10 scientists 78 D-Index: 9 scientists 79 D-Index: 16 scientists 80 D-Index: 12 scientists 81 D-Index: 10 scientists 82 D-Index: 5 scientists 83 D-Index: 5 scientists 84 D-Index: 13 scientists 85 D-Index: 6 scientists 86+ D-Index: 99 scientists
30 D-Index 86+

This scientist: 49 D-Index — 69th percentile

69% of scientists in this discipline score the same or lower.

The last bar groups every scientist with 86 D-Index or more.

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

  • Runge-Kutta schemes for Hamiltonian systems

    J. M. Sanz-Serna

  • Symplectic integrators for Hamiltonian problems: an overview

    J. M. Sanz-Serna

  • Optimal tuning of the hybrid Monte Carlo algorithm

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

  • Long-Time-Step Methods for Oscillatory Differential Equations

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

  • On polynomials orthogonal with respect to certain Sobolev inner products

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

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

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

  • A numerical method for a partial integro-differential equation

    J. M. Sanz-Serna

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

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

  • Hybrid Monte Carlo on Hilbert spaces

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

  • 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

  • Order conditions for canonical Runge-Kutta schemes

    J. M. Sanz-Serna;L. Abia

  • Petrov-Galerkin methods for nonlinear dispersive waves

    J.M Sanz-Serna;I Christie

  • Convergence of method of lines approximations to partial differential equations

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

  • An explicit finite-difference scheme with exact conservation properties

    J.M Sanz-Serna

  • Geometric integrators and the Hamiltonian Monte Carlo method

    Nawaf Bou-Rabee;Jesús María Sanz-Serna

  • Partitioned Runge-Kutta methods for separable Hamiltonian problems

    L. Abia;J. M. Sanz-Serna

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

    J. C. López-Marcos;J. M. Sanz-Serna

  • Soliton and antisoliton interactions in the ``good'' Boussinesq equation

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

  • Randomized Hamiltonian Monte Carlo

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

  • Order conditions for numerical integrators obtained by composing simpler integrators

    A. Murua;J.M. SanzSerna

Frequent Co-Authors

Jan Verwer
Jan Verwer Centrum Wiskunde & Informatica
Robert D. Skeel
Robert D. Skeel Purdue University West Lafayette
Miguel A. F. Sanjuán
Miguel A. F. Sanjuán King Juan Carlos University
Andrew M. Stuart
Andrew M. Stuart California Institute of Technology
Ernst Hairer
Ernst Hairer University of Geneva
Stig Larsson
Stig Larsson Chalmers University of Technology
Gareth O. Roberts
Gareth O. Roberts University of Warwick
Arieh Iserles
Arieh Iserles University of Cambridge
Willem Hundsdorfer
Willem Hundsdorfer Centrum Wiskunde & Informatica
John C. Butcher
John C. Butcher University of Auckland

If you think any of the details on this page are incorrect, let us know.

Report an issue

We appreciate your kind effort to assist us to improve this page, it would be helpful providing us with as much detail as possible in the text box below:

Related Online Degrees & Career Pathways

Pursuing a Mathematics degree in the USA opens doors to numerous related fields where analytical and quantitative skills are highly valued. Many students consider complementing their math expertise with advanced degrees in finance, marketing, or business administration to boost employability and earning potential.

For those interested in financial sectors, a master of finance online offers flexible, affordable options to deepen financial knowledge while gaining mastery over data-driven decision-making.

If your goal is leadership or entrepreneurship, exploring fastest mba programs online can help you complete your degree quickly without sacrificing quality. This accelerates your career advancement and return on investment.

Marketing is another lucrative avenue for math graduates, with many opting for a masters in marketing that emphasizes data analytics and consumer behavior.

For professionals seeking an intensive experience, 1 year mba programs in usa offer a condensed curriculum tailored to quickly equip students with leadership skills critical in today’s competitive market.

Best Scientists Citing Jesús María Sanz-Serna

Trending Scientists

Recently Published Articles