Jesús María Sanz-Serna

Konstantinos C. Zygalakis

SIAM J. Numer. Anal., 2020

Symmetrically processed splitting integrators for enhanced Hamiltonian Monte Carlo sampling.

[BibT_eX]

[DOI]

Sergio Blanes

Fernando Casas

CoRR, 2020

The connections between Lyapunov functions for some optimization algorithms and differential equations.

[BibT_eX]

[DOI]

Konstantinos C. Zygalakis

CoRR, 2020

Is the NUTS algorithm correct?

[BibT_eX]

[DOI]

CoRR, 2020

2019

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

[BibT_eX]

[DOI]

Daniel Sanz-Alonso

CoRR, 2019

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

[BibT_eX]

[DOI]

Beibei Zhu

CoRR, 2019

2018

Survey and Review.

[BibT_eX]

[DOI]

SIAM Rev., 2018

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

[BibT_eX]

[DOI]

Tijana Radivojevic

Mario Fernández-Pendás

Elena V. Akhmatskaya

J. Comput. Phys., 2018

Geometric integrators and the Hamiltonian Monte Carlo method.

[BibT_eX]

[DOI]

Nawaf Bou-Rabee

Acta Numer., 2018

2017

Palindromic 3-stage splitting integrators, a roadmap.

[BibT_eX]

[DOI]

Cédric M. Campos

J. Comput. Phys., 2017

Word Series for Dynamical Systems and Their Numerical Integrators.

[BibT_eX]

[DOI]

Found. Comput. Math., 2017

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

[BibT_eX]

[DOI]

Found. Comput. Math., 2017

2016

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

[BibT_eX]

[DOI]

SIAM Rev., 2016

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

[BibT_eX]

[DOI]

Alfonso Álamo

SIAM J. Numer. Anal., 2016

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

[BibT_eX]

[DOI]

Mario Fernández-Pendás

Elena V. Akhmatskaya

J. Comput. Phys., 2016

2015

Extra Chance Generalized Hybrid Monte Carlo.

[BibT_eX]

[DOI]

Cédric M. Campos

J. Comput. Phys., 2015

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

[BibT_eX]

[DOI]

Found. Comput. Math., 2015

2014

Numerical Integrators for the Hybrid Monte Carlo Method.

[BibT_eX]

[DOI]

Sergio Blanes

Fernando Casas

SIAM J. Sci. Comput., 2014

2012

A Multiscale Technique for Finding Slow Manifolds of Stiff Mechanical Systems.

[BibT_eX]

[DOI]

Gil Ariel

Yen-Hsi Richard Tsai

Multiscale Model. Simul., 2012

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

[BibT_eX]

[DOI]

Found. Comput. Math., 2012

2010

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

[BibT_eX]

[DOI]

Found. Comput. Math., 2010

2009

Instabilities and Inaccuracies in the Integration of Highly Oscillatory Problems.

[BibT_eX]

[DOI]

SIAM J. Sci. Comput., 2009

2008

Mollified Impulse Methods for Highly Oscillatory Differential Equations.

[BibT_eX]

[DOI]

SIAM J. Numer. Anal., 2008

1999

A shadowing result with applications to finite element approximation of reaction-diffusion equations.

[BibT_eX]

[DOI]

Stig Larsson

Math. Comput., 1999

1998

Long-Time-Step Methods for Oscillatory Differential Equations.

[BibT_eX]

[DOI]

Bosco García-Archilla

Robert D. Skeel

SIAM J. Sci. Comput., 1998

1997

Explicit Symplectic Integrators Using Hessian-Vector Products.

[BibT_eX]

[DOI]

M. A. López-Marcos

Robert D. Skeel

SIAM J. Sci. Comput., 1997

1993

High-Order Symplectic Runge-Kutta-Nyström Methods.

[BibT_eX]

[DOI]

SIAM J. Sci. Comput., 1993

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

[BibT_eX]

[DOI]

SIAM J. Sci. Comput., 1993

1990

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

[BibT_eX]

[DOI]

Luis M. Abia

Computing, 1990

1984

Convergence of method of lines approximations to partial differential equations.

[BibT_eX]

[DOI]

Jan G. Verwer