Jesús María Sanz-Serna

Publication Activity (10 Years)

Years Active: 1984-2023
Publications (10 Years): 52

Top Topics

Relevant Literature

Differential Equations

Acceptance Rate

Numerical Integration

Top Venues

J. Comput. Phys.

SIAM J. Numer. Anal.

Publications

Paul Dobson, Jesús María Sanz-Serna, Konstantinos Zygalakis
On the connections between optimization algorithms, Lyapunov functions, and differential equations: theory and insights. CoRR (2023)
Lorenzo Nagar, Mario Fernández-Pendás, Jesús María Sanz-Serna, Elena V. Akhmatskaya
Adaptive multi-stage integration schemes for Hamiltonian Monte Carlo. CoRR (2023)
Teresa Klatzer, Paul Dobson, Yoann Altmann, Marcelo Pereyra, Jesús María Sanz-Serna, Konstantinos C. Zygalakis
Accelerated Bayesian imaging by relaxed proximal-point Langevin sampling. CoRR (2023)
Fernando Casas, Jesús María Sanz-Serna, Luke Shaw
A New Optimality Property of Strang's Splitting. CoRR (2022)
Jesús María Sanz-Serna
Survey and Review. SIAM Rev. 64 (2) (2022)
Fernando Casas, Jesús María Sanz-Serna, Luke Shaw
Split Hamiltonian Monte Carlo revisited. Stat. Comput. 32 (5) (2022)
Jesús María Sanz-Serna
Survey and Review. SIAM Rev. 64 (1) (2022)
Jesús María Sanz-Serna
Survey and Review. SIAM Rev. 64 (4) (2022)
Jesús María Sanz-Serna, Konstantinos C. Zygalakis
Wasserstein distance estimates for the distributions of numerical approximations to ergodic stochastic differential equations. J. Mach. Learn. Res. 22 (2021)
Jesús María Sanz-Serna
Survey and Review. SIAM Rev. 63 (1) (2021)
Jesús María Sanz-Serna, Konstantinos C. Zygalakis
The Connections Between Lyapunov Functions for Some Optimization Algorithms and Differential Equations. SIAM J. Numer. Anal. 59 (3) (2021)
Jesús María Sanz-Serna
Survey and Review. SIAM Rev. 63 (2) (2021)
Jesús María Sanz-Serna
Survey and Review. SIAM Rev. 63 (4) (2021)
Jesús María Sanz-Serna
Survey and Review. SIAM Rev. 63 (3) (2021)
Jesús María Sanz-Serna, Konstantinos C. Zygalakis
Wasserstein distance estimates for the distributions of numerical approximations to ergodic stochastic differential equations. CoRR (2021)
Mari Paz Calvo, Daniel Sanz-Alonso, Jesús María Sanz-Serna
HMC: Reducing the number of rejections by not using leapfrog and some results on the acceptance rate. J. Comput. Phys. 437 (2021)
Sergio Blanes, Mari Paz Calvo, Fernando Casas, Jesús María Sanz-Serna
Symmetrically Processed Splitting Integrators for Enhanced Hamiltonian Monte Carlo Sampling. SIAM J. Sci. Comput. 43 (5) (2021)
Jesús María Sanz-Serna
Survey and Review. SIAM Rev. 62 (1) (2020)
Jesús María Sanz-Serna
Is the NUTS algorithm correct? CoRR (2020)
Jesús María Sanz-Serna, Konstantinos C. Zygalakis
Contractivity of Runge-Kutta Methods for Convex Gradient Systems. SIAM J. Numer. Anal. 58 (4) (2020)
Jesús María Sanz-Serna
Survey and Review. SIAM Rev. 62 (2) (2020)
Jesús María Sanz-Serna
Survey and Review. SIAM Rev. 62 (4) (2020)
Sergio Blanes, Mari Paz Calvo, Fernando Casas, Jesús María Sanz-Serna
Symmetrically processed splitting integrators for enhanced Hamiltonian Monte Carlo sampling. CoRR (2020)
Jesús María Sanz-Serna, Konstantinos C. Zygalakis
The connections between Lyapunov functions for some optimization algorithms and differential equations. CoRR (2020)
Jesús María Sanz-Serna
Survey and Review. SIAM Rev. 62 (3) (2020)
Jesús María Sanz-Serna
Survey and Review. SIAM Rev. 61 (3) (2019)
Jesús María Sanz-Serna
Survey and Review. SIAM Rev. 61 (1) (2019)
Mari Paz Calvo, Daniel Sanz-Alonso, Jesús María Sanz-Serna
HMC: avoiding rejections by not using leapfrog and some results on the acceptance rate. CoRR (2019)
Jesús María Sanz-Serna, Beibei Zhu
Word-series high-order averaging of highly oscillatory differential equations with delay. CoRR (2019)
Jesús María Sanz-Serna
Survey and Review. SIAM Rev. 61 (2) (2019)
Jesús María Sanz-Serna
Survey and Review. SIAM Rev. 61 (4) (2019)
Jesús María Sanz-Serna, Konstantinos C. Zygalakis
Contractivity of Runge-Kutta methods for convex gradient systems. CoRR (2019)
Jesús María Sanz-Serna
Survey and Review. SIAM Rev. 60 (1) (2018)
Jesús María Sanz-Serna
Survey and Review. SIAM Rev. 60 (2) (2018)
Jesús María Sanz-Serna
Survey and Review. SIAM Rev. 60 (4) (2018)
Jesús María Sanz-Serna
Survey and Review. SIAM Rev. 60 (3) (2018)
Nawaf Bou-Rabee, Jesús María Sanz-Serna
Geometric integrators and the Hamiltonian Monte Carlo method. Acta Numer. 27 (2018)
Tijana Radivojevic, Mario Fernández-Pendás, Jesús María Sanz-Serna, Elena V. Akhmatskaya
Multi-stage splitting integrators for sampling with modified Hamiltonian Monte Carlo methods. CoRR (2018)
Tijana Radivojevic, Mario Fernández-Pendás, Jesús María Sanz-Serna, Elena V. Akhmatskaya
Multi-stage splitting integrators for sampling with modified Hamiltonian Monte Carlo methods. J. Comput. Phys. 373 (2018)
Cédric M. Campos, Jesús María Sanz-Serna
Palindromic 3-stage splitting integrators, a roadmap. J. Comput. Phys. 346 (2017)
Jesús María Sanz-Serna
Survey and Review. SIAM Rev. 59 (4) (2017)
Jesús María Sanz-Serna
Survey and Review. SIAM Rev. 59 (3) (2017)
Ander Murua, Jesús María Sanz-Serna
Word Series for Dynamical Systems and Their Numerical Integrators. Found. Comput. Math. 17 (3) (2017)
Philippe Chartier, Ander Murua, Jesús María Sanz-Serna
Erratum to: Higher-Order Averaging, Formal Series and Numerical Integration II: The Quasi-Periodic Case. Found. Comput. Math. 17 (2) (2017)
Jesús María Sanz-Serna
Survey and Review. SIAM Rev. 59 (2) (2017)
Jesús María Sanz-Serna
Survey and Review. SIAM Rev. 59 (1) (2017)
Mario Fernández-Pendás, Elena V. Akhmatskaya, Jesús María Sanz-Serna
Adaptive multi-stage integrators for optimal energy conservation in molecular simulations. J. Comput. Phys. 327 (2016)
Alfonso Álamo, Jesús María Sanz-Serna
A Technique for Studying Strong and Weak Local Errors of Splitting Stochastic Integrators. SIAM J. Numer. Anal. 54 (6) (2016)
Jesús María Sanz-Serna
Symplectic Runge-Kutta Schemes for Adjoint Equations, Automatic Differentiation, Optimal Control, and More. SIAM Rev. 58 (1) (2016)
Mario Fernández-Pendás, Elena V. Akhmatskaya, Jesús María Sanz-Serna
Adaptive multi-stage integrators for optimal energy conservation in molecular simulations. CoRR (2015)
Cédric M. Campos, Jesús María Sanz-Serna
Extra Chance Generalized Hybrid Monte Carlo. J. Comput. Phys. 281 (2015)
Philippe Chartier, Ander Murua, Jesús María Sanz-Serna
Higher-Order Averaging, Formal Series and Numerical Integration III: Error Bounds. Found. Comput. Math. 15 (2) (2015)
Sergio Blanes, Fernando Casas, Jesús María Sanz-Serna
Numerical Integrators for the Hybrid Monte Carlo Method. SIAM J. Sci. Comput. 36 (4) (2014)
Philippe Chartier, Ander Murua, Jesús María Sanz-Serna
Higher-Order Averaging, Formal Series and Numerical Integration II: The Quasi-Periodic Case. Found. Comput. Math. 12 (4) (2012)
Gil Ariel, Jesús María Sanz-Serna, Yen-Hsi Richard Tsai
A Multiscale Technique for Finding Slow Manifolds of Stiff Mechanical Systems. Multiscale Model. Simul. 10 (4) (2012)
Philippe Chartier, Ander Murua, Jesús María Sanz-Serna
Higher-Order Averaging, Formal Series and Numerical Integration I: B-series. Found. Comput. Math. 10 (6) (2010)
Mari Paz Calvo, Jesús María Sanz-Serna
Heterogeneous Multiscale Methods for Mechanical Systems with Vibrations. SIAM J. Sci. Comput. 32 (4) (2010)
Mari Paz Calvo, Jesús María Sanz-Serna
Instabilities and Inaccuracies in the Integration of Highly Oscillatory Problems. SIAM J. Sci. Comput. 31 (3) (2009)
Jesús María Sanz-Serna
Mollified Impulse Methods for Highly Oscillatory Differential Equations. SIAM J. Numer. Anal. 46 (2) (2008)
Stig Larsson, Jesús María Sanz-Serna
A shadowing result with applications to finite element approximation of reaction-diffusion equations. Math. Comput. 68 (225) (1999)
Bosco García-Archilla, Jesús María Sanz-Serna, Robert D. Skeel
Long-Time-Step Methods for Oscillatory Differential Equations. SIAM J. Sci. Comput. 20 (3) (1998)
M. A. López-Marcos, Jesús María Sanz-Serna, Robert D. Skeel
Explicit Symplectic Integrators Using Hessian-Vector Products. SIAM J. Sci. Comput. 18 (1) (1997)
Mari Paz Calvo, Jesús María Sanz-Serna
High-Order Symplectic Runge-Kutta-Nyström Methods. SIAM J. Sci. Comput. 14 (5) (1993)
Mari Paz Calvo, Jesús María Sanz-Serna
The Development of Variable-Step Symplectic Integrators, with Application to the Two-Body Problem. SIAM J. Sci. Comput. 14 (4) (1993)
Luis M. Abia, Jesús María Sanz-Serna
The spectral accuracy of a fully-discrete scheme for a nonlinear third order equation. Computing 44 (3) (1990)
Jesús María Sanz-Serna, Jan G. Verwer
Convergence analysis of one-step schemes in the method of lines. Conference on Numerical Ordinary Differential Equations (1989)
Jan G. Verwer, Jesús María Sanz-Serna
Convergence of method of lines approximations to partial differential equations. Computing 33 (3-4) (1984)