J. M. Sanz-Serna

J. M. Sanz-Serna, A. Murua, A. Murua, 1999, Philosophical Transactions of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences.

Canonical B-series

J. M. Sanz-Serna, M. P. Calvo, M. Calvo, 1994 .

Regions of stability, equivalence theorems and the Courant-Friedrichs-Lewy condition

J. M. Sanz-Serna, M. N. Spijker, J. Sanz-Serna, 1986 .

Order conditions for canonical Runge-Kutta-Nyström methods

J. M. Sanz-Serna, M. P. Calvo, M. Calvo, 1992 .

Vibrational resonance: a study with high-order word-series averaging

J. M. Sanz-Serna, Ander Murua, 2016 .

A finite difference formula for the discretization of d^3/dx^3 on nonuniform grids

J. M. Sanz-Serna, Bosco García-Archilla, B. García-Archilla, 1991 .

Symplectic Runge-Kutta and related methods: recent results

J. M. Sanz-Serna, J. Sanz-Serna, 1992 .

Petrov-Galerkin methods for nonlinear dispersive waves

J. M. Sanz-Serna, J. M. Sanz-Serna, I. Christie, 1981 .

Order conditions for canonical Runge-Kutta schemes

J. M. Sanz-Serna, L. Abia, 1991 .

Conservation of integrals and symplectic structure in the integration of differential equations by multistep methods

J. M. Sanz-Serna, T. Eirola, T. Eirola, 1992 .

Equilibria of Runge-Kutta methods

J. M. Sanz-Serna, A. Iserles, E. Hairer, 1990 .

The behavior of finite element solutions of semilinear parabolic problems near stationary points

Stig Larsson, J. M. Sanz-Serna, S. Larsson, 1994 .

Orthogonality and approximation in a Sobolev space

Arieh Iserles, J. M. Sanz-Serna, A. Iserles, 1990 .

Lack of dissipativity is not symplecticness

J. M. Sanz-Serna, A. Portillo, A. Portillo, 1995 .

An adaptive moving grid method for one-dimensional systems of partial differential equations

Joke Blom, J. M. Sanz-Serna, Jan Verwer, 1989 .

On polynomials orthogonal with respect to certain Sobolev inner products

Arieh Iserles, J. M. Sanz-Serna, A. Iserles, 1991 .

Heterogeneous Multiscale Methods for Mechanical Systems with Vibrations

J. M. Sanz-Serna, M. P. Calvo, M. Calvo, 2010, SIAM J. Sci. Comput..

Ergodicity of Dissipative Differential Equations Subject to Random Impulses

Andrew M. Stuart, J. M. Sanz-Serna, J. M Sanz-Serna, 1999 .

An explicit finite-difference scheme with exact conservation properties

Jesús María Sanz-Serna, J. M. Sanz-Serna, J. Sanz-Serna, 1982 .

Extra Chance Hybrid Monte Carlo

J. M. Sanz-Serna, C. M. Campos, Matemática Aplicada, 2014 .

A Finite Difference Scheme for the K(2, 2) Compacton Equation

M. A. López-Marcos, J. M. Sanz-Serna, J. deFrutos, 1995 .

Shadows, chaos, and saddles

Stig Larsson, J. M. Sanz-Serna, S. Larsson, 1993 .

Variable step implementation of geometric integrators

M. A. López-Marcos, J. M. Sanz-Serna, M. P. Calvo, 1998 .

AN EXPLICIT SYMPLECTIC INTEGRATOR WITH MAXIMAL STABILITY INTERVAL

Robert D. Skeel, J. M. Sanz-Serna, M. A. Lopez-Marcos, 1996 .

Word combinatorics for stochastic differential equations: Splitting integrators

J. M. Sanz-Serna, A. Álamo, J. Sanz-Serna, 2018, Communications on Pure & Applied Analysis.

Split Hamiltonian Monte Carlo revisited

J. M. Sanz-Serna, F. Casas, Luke Shaw, 2022, Statistics and Computing.

Optimal tuning of the hybrid Monte Carlo algorithm

J. M. Sanz-Serna, N. Pillai, G. Roberts, 2010, 1001.4460.

A New Optimality Property of Strang's Splitting

J. M. Sanz-Serna, F. Casas, Luke Shaw, 2022, ArXiv.

Randomized Hamiltonian Monte Carlo

J. M. Sanz-Serna, N. Bou-Rabee, J. Sanz-Serna, 2015, 1511.09382.

Convergence of method of lines approximations to partial differential equations

Jesús María Sanz-Serna, J. M. Sanz-Serna, Jan G. Verwer, 1984, Computing.

Geometric integrators and the Hamiltonian Monte Carlo method

Jesús María Sanz-Serna, J. M. Sanz-Serna, Nawaf Bou-Rabee, 2017, Acta Numerica.

Extra Chance Generalized Hybrid Monte Carlo

Jesús María Sanz-Serna, J. M. Sanz-Serna, Cédric M. Campos, 2014, J. Comput. Phys..

A Technique for Studying Strong and Weak Local Errors of Splitting Stochastic Integrators

Jesús María Sanz-Serna, J. M. Sanz-Serna, Alfonso Álamo, 2016, SIAM J. Numer. Anal..

Formal series and numerical integrators: some history and some new techniques

J. M. Sanz-Serna, Ander Murua, Jesus Maria Sanz-Serna, 2015, 1503.06976.

Contractivity of Runge-Kutta methods for convex gradient systems

J. M. Sanz-Serna, K. Zygalakis, 2019, SIAM J. Numer. Anal..

Symplectic integrators for Hamiltonian problems: an overview

J. M. Sanz-Serna, J. M. Sanz-Serna, J. Sanz-Serna, 1992, Acta Numerica.

2 Organization and Funding 3 Registered Participants and Lectures Implicit-explicit Methods for Time-dependent Pdes Alternating Direction Orthogonal Spline Collocation Methods for Initial/boundary Value Prob- Lems Adaptive and Parallel Computational Techniques with Applications in Materials Science

J. M. Sanz-Serna, Hyman, J. Flaherty, 2007 .

An easily implementable fourth-order method for the time integration of wave problems

J. M. Sanz-Serna, J. M. Sanz-Serna, J. D. Frutos, 1992 .

A Hamiltonian explicit algorithm with spectral accuracy for the `good' Boussinesq system

J. M. Sanz-Serna, J. D. Frutos, T. Ortega, 1990 .

An unconventional symplectic integrator of W. Kahan

Jesús María Sanz-Serna, J. M. Sanz-Serna, J. Sanz-Serna, 1994 .

Symplectic Runge-Kutta Schemes for Adjoint Equations, Automatic Differentiation, Optimal Control, and More

Jesús María Sanz-Serna, J. M. Sanz-Serna, J. Sanz-Serna, 2015, SIAM Rev..

A Method for the Integration in Time of Certain Partial Differential Equations

J. M. Sanz-Serna, J. M. Sanz-Serna, V. S. Manoranjan, 1983 .

On finite elements simulatenously in space and time

J. M. Sanz-Serna, 1983 .

Higher-Order Averaging, Formal Series and Numerical Integration II: The Quasi-Periodic Case

Jesús María Sanz-Serna, J. M. Sanz-Serna, Ander Murua, 2012, Foundations of Computational Mathematics.

Word Series for Dynamical Systems and Their Numerical Integrators

Jesús María Sanz-Serna, J. M. Sanz-Serna, Ander Murua, 2015, Foundations of Computational Mathematics.

Explicit Symplectic Integrators Using Hessian-Vector Products

M. A. López-Marcos, Robert D. Skeel, Jesús María Sanz-Serna, 1997, SIAM J. Sci. Comput..

The number of conditions for a Runge-Kutta method to have effective order p

J. M. Sanz-Serna, John C. Butcher, J. M. Sanz-Serna, 1996 .

The Numerical Study of Blowup with Application to a Nonlinear Schrödinger Equation

J. M. Sanz-Serna, J. M. Sanz-Serna, Y. Tourigny, 1992 .

HMC: Reducing the number of rejections by not using leapfrog and some results on the acceptance rate

Jesús María Sanz-Serna, J. M. Sanz-Serna, Daniel Sanz-Alonso, 2021, J. Comput. Phys..

Split-step spectral schemes for nonlinear Dirac systems

J. M. Sanz-Serna, J. M. Sanz-Serna, J. D. Frutos, 1989 .

Instabilities and Inaccuracies in the Integration of Highly Oscillatory Problems

Mari Paz Calvo, Jesús María Sanz-Serna, J. M. Sanz-Serna, 2009, SIAM J. Sci. Comput..

Mollified Impulse Methods for Highly Oscillatory Differential Equations

Jesús María Sanz-Serna, J. M. Sanz-Serna, J. Sanz-Serna, 2008, SIAM J. Numer. Anal..

Long-Time-Step Methods for Oscillatory Differential Equations

Robert D. Skeel, Jesús María Sanz-Serna, J. M. Sanz-Serna, 1998, SIAM J. Sci. Comput..

Stability and convergence at the PDE/stiff ODE interface

J. M. Sanz-Serna, J. M. Sanz-Serna, J. Verwer, 1989 .

The Development of Variable-Step Symplectic Integrators, with Application to the Two-Body Problem

Mari Paz Calvo, Jesús María Sanz-Serna, J. M. Sanz-Serna, 1993, SIAM J. Sci. Comput..

A numerical method for a partial integro-differential equation

J. M. Sanz-Serna, J. Sanz-Serna, J. Sanz-Serna, 1988 .

Adaptive Splitting Integrators for Enhancing Sampling Efficiency of Modified Hamiltonian Monte Carlo Methods in Molecular Simulation.

J. M. Sanz-Serna, Tijana Radivojević, Elena Akhmatskaya, 2017, Langmuir : the ACS journal of surfaces and colloids.

Adaptive multi-stage integrators for optimal energy conservation in molecular simulations pdf

Jesús María Sanz-Serna, J. M. Sanz-Serna, Elena V. Akhmatskaya, 2015, J. Comput. Phys..

HMC: avoiding rejections by not using leapfrog and some results on the acceptance rate

J. M. Sanz-Serna, M. Calvo, D. Sanz-Alonso, 2019, ArXiv.

Numerical Integrators for the Hybrid Monte Carlo Method

Jesús María Sanz-Serna, J. M. Sanz-Serna, Fernando Casas, 2014, SIAM J. Sci. Comput..

Compressible generalized hybrid Monte Carlo.

J. M. Sanz-Serna, Youhan Fang, Robert D Skeel, 2014, The Journal of chemical physics.

High-order methods

J. M. Sanz-Serna, J. M. Sanz-Serna, M. P. Calvo, 1994 .

A Multiscale Technique for Finding Slow Manifolds of Stiff Mechanical Systems

Jesús María Sanz-Serna, J. M. Sanz-Serna, Gil Ariel, 2012, Multiscale Model. Simul..

Adaptive multi-stage integration schemes for Hamiltonian Monte Carlo

J. M. Sanz-Serna, E. Akhmatskaya, Lorenzo Nagar, 2023, ArXiv.

Multi-stage splitting integrators for sampling with modified Hamiltonian Monte Carlo methods

Jesús María Sanz-Serna, J. M. Sanz-Serna, Elena V. Akhmatskaya, 2018, J. Comput. Phys..

Bogdanov–Takens resonance in time-delayed systems

J. M. Sanz-Serna, M. Sanjuán, Beibei Zhu, 2017, Nonlinear Dynamics.

Bogdanov–Takens resonance in time-delayed systems

J. M. Sanz-Serna, Miguel A. F. Sanjuán, Mattia Coccolo, 2017, Nonlinear Dynamics.

Erratum to: Higher-Order Averaging, Formal Series and Numerical Integration II: The Quasi-Periodic Case

Jesús María Sanz-Serna, J. M. Sanz-Serna, Ander Murua, 2017, Found. Comput. Math..

Higher-Order Averaging, Formal Series and Numerical Integration III: Error Bounds

Jesús María Sanz-Serna, J. M. Sanz-Serna, Ander Murua, 2015, Found. Comput. Math..

A formal series approach to averaging: Exponentially small error estimates

J. M. Sanz-Serna, A. Murua, P. Chartier, 2012 .

Higher-Order Averaging, Formal Series and Numerical Integration I: B-series

Jesús María Sanz-Serna, J. M. Sanz-Serna, Ander Murua, 2010, Found. Comput. Math..

Are Gauss-Legendre methods useful in molecular dynamics?

M. A. López-Marcos, J. M. Sanz-Serna, J. M. Sanz-Serna, 1996 .

Solving Numerically Hamiltonian Systems

J. M. Sanz-Serna, 1995 .

A New Optimality Property of Strang's Splitting

J. M. Sanz-Serna, F. Casas, Luke Shaw, 2022, SIAM J. Numer. Anal..

H Hamiltonian Systems

J. M. Sanz-Serna, J. Sanz-Serna, 2012 .

Modulated Fourier expansions and heterogeneous multiscale methods

J. M. Sanz-Serna, J. M. Sanz-Serna, J. Sanz-Serna, 2009 .