Sergio Blanes

J. Comput. Appl. Math., 2026

2025

On alternating-conjugate splitting methods.

[BibT_eX]

[DOI]

Joackim Bernier

Alejandro Escorihuela-Tomas

CoRR, March, 2025

Efficient Scaling and Squaring Method for the Matrix Exponential.

[BibT_eX]

[DOI]

Nikita Kopylov

Muaz Seydaoglu

SIAM J. Matrix Anal. Appl., 2025

2024

Generalisation of splitting methods based on modified potentials to nonlinear evolution equations of parabolic and Schrödinger type.

[BibT_eX]

[DOI]

Comput. Phys. Commun., 2024

Splitting methods with complex coefficients for linear and nonlinear evolution equations.

[BibT_eX]

[DOI]

CoRR, 2024

Families of efficient low order processed composition methods.

[BibT_eX]

[DOI]

CoRR, 2024

Symmetric-conjugate splitting methods for evolution equations of parabolic type.

[BibT_eX]

[DOI]

CoRR, 2024

Generalized extrapolation methods based on compositions of a basic 2nd-order scheme.

[BibT_eX]

[DOI]

Luke Shaw

Appl. Math. Comput., 2024

Splitting methods for differential equations.

[BibT_eX]

[DOI]

Acta Numer., 2024

2023

Generalization of splitting methods based on modified potentials to nonlinear evolution equations of parabolic and Schrödinger type.

[BibT_eX]

[DOI]

CoRR, 2023

Symmetric-conjugate splitting methods for linear unitary problems.

[BibT_eX]

[DOI]

Joackim Bernier

CoRR, 2023

2022

On symmetric-conjugate composition methods in the numerical integration of differential equations.

[BibT_eX]

[DOI]

Philippe Chartier

Math. Comput., 2022

An efficient algorithm to compute the exponential of skew-Hermitian matrices for the time integration of the Schrödinger equation.

[BibT_eX]

[DOI]

Math. Comput. Simul., 2022

Preface for the special issue "Geometric numerical integration, twenty-five years later".

[BibT_eX]

[DOI]

Int. J. Comput. Math., 2022

Parallel Computation of functions of matrices and their action on vectors.

[BibT_eX]

[DOI]

CoRR, 2022

Runge-Kutta-Nyström symplectic splitting methods of order 8.

[BibT_eX]

[DOI]

CoRR, 2022

2021

Symmetrically Processed Splitting Integrators for Enhanced Hamiltonian Monte Carlo Sampling.

[BibT_eX]

[DOI]

Mari Paz Calvo

Jesús María Sanz-Serna

SIAM J. Sci. Comput., 2021

Applying splitting methods with complex coefficients to the numerical integration of unitary problems.

[BibT_eX]

[DOI]

CoRR, 2021

Positivity-preserving methods for population models.

[BibT_eX]

[DOI]

Arieh Iserles

Shev MacNamara

CoRR, 2021

Performance of fourth and sixth-order commutator-free Magnus expansion integrators for Ehrenfest dynamics.

[BibT_eX]

[DOI]

Adrián Gómez Pueyo

Alberto Castro

Comput. Math. Methods, 2021

Novel parallel in time integrators for ODEs.

[BibT_eX]

[DOI]

Appl. Math. Lett., 2021

2020

High order efficient splittings for the semiclassical time-dependent Schrödinger equation.

[BibT_eX]

[DOI]

Vasile Gradinaru

J. Comput. Phys., 2020

Computing the matrix sine and cosine simultaneously with a reduced number of products.

[BibT_eX]

[DOI]

CoRR, 2020

2019

Novel symplectic integrators for the Klein-Gordon equation with space- and time-dependent mass.

[BibT_eX]

[DOI]

J. Comput. Appl. Math., 2019

Efficient time integration methods for Gross-Pitaevskii equations with rotation term.

[BibT_eX]

[DOI]

CoRR, 2019

On the construction of symmetric second order methods for ODEs.

[BibT_eX]

[DOI]

Appl. Math. Lett., 2019

2018

Time-Average on the Numerical Integration of Nonautonomous Differential Equations.

[BibT_eX]

[DOI]

SIAM J. Numer. Anal., 2018

Symplectic integrators for second-order linear non-autonomous equations.

[BibT_eX]

[DOI]

J. Comput. Appl. Math., 2018

2017

Symplectic integrators for the matrix Hill equation.

[BibT_eX]

[DOI]

J. Comput. Appl. Math., 2017

High-order commutator-free quasi-Magnus exponential integrators for non-autonomous linear evolution equations.

[BibT_eX]

[DOI]

Mechthild Thalhammer

Comput. Phys. Commun., 2017

2016

Efficient numerical integration of Nth-order non-autonomous linear differential equations.

[BibT_eX]

[DOI]

J. Comput. Appl. Math., 2016

2015

The Scaling, Splitting, and Squaring Method for the Exponential of Perturbed Matrices.

[BibT_eX]

[DOI]

Philipp Bader

Muaz Seydaoglu

SIAM J. Matrix Anal. Appl., 2015

High order structure preserving explicit methods for solving linear-quadratic optimal control problems.

[BibT_eX]

[DOI]

Numer. Algorithms, 2015

An efficient algorithm based on splitting for the time integration of the Schrödinger equation.

[BibT_eX]

[DOI]

J. Comput. Phys., 2015

Explicit symplectic RKN methods for perturbed non-autonomous oscillators: Splitting, extended and exponentially fitting methods.

[BibT_eX]

[DOI]

Comput. Phys. Commun., 2015

2014

Numerical Integrators for the Hybrid Monte Carlo Method.

[BibT_eX]

[DOI]

Jesús María Sanz-Serna

SIAM J. Sci. Comput., 2014

Structure preserving integrators for solving (non-)linear quadratic optimal control problems with applications to describe the flight of a quadrotor.

[BibT_eX]

[DOI]

Philipp Bader

J. Comput. Appl. Math., 2014

Exponential integrators for coupled self-adjoint non-autonomous partial differential systems.

[BibT_eX]

[DOI]

Appl. Math. Comput., 2014

Whole mathematics competences assessment at aerospace engineering sophomore.

[BibT_eX]

[DOI]

Francisco Mínguez

José Antonio Moraño

María Dolores Roselló

Luis Manuel Sánchez Ruiz

Proceedings of the IEEE Frontiers in Education Conference, 2014

2013

Optimized high-order splitting methods for some classes of parabolic equations.

[BibT_eX]

[DOI]

Math. Comput., 2013

2012

Magnus integrators for solving linear-quadratic differential games.

[BibT_eX]

[DOI]

J. Comput. Appl. Math., 2012

2011

Error Analysis of Splitting Methods for the Time Dependent Schrödinger Equation.

[BibT_eX]

[DOI]

SIAM J. Sci. Comput., 2011

New efficient numerical methods to describe the heat transfer in a solid medium.

[BibT_eX]

[DOI]

Philipp Bader

Math. Comput. Model., 2011

2010

Splitting and composition methods for explicit time dependence in separable dynamical systems.

[BibT_eX]

[DOI]

J. Comput. Appl. Math., 2010

2008

On the Linear Stability of Splitting Methods.

[BibT_eX]

[DOI]

Found. Comput. Math., 2008

2007

Splitting methods for non-autonomous linear systems.

[BibT_eX]

[DOI]

Int. J. Comput. Math., 2007

2006

Composition Methods for Differential Equations with Processing.

[BibT_eX]

[DOI]

SIAM J. Sci. Comput., 2006

2005

Adaptive Geometric Integrators for Hamiltonian Problems with Approximate Scale Invariance.

[BibT_eX]

[DOI]

Chris J. Budd

SIAM J. Sci. Comput., 2005

Raising the order of geometric numerical integrators by composition and extrapolation.

[BibT_eX]

[DOI]

Numer. Algorithms, 2005

2004

On the Numerical Integration of Ordinary Differential Equations by Processed Methods.

[BibT_eX]

[DOI]

SIAM J. Numer. Anal., 2004

2003

Optimization of Lie group methods for differential equations.

[BibT_eX]

[DOI]

Future Gener. Comput. Syst., 2003

2000

New Families of Symplectic Runge-Kutta-Nyström Integration Methods.

[BibT_eX]

[DOI]

José Ros

Proceedings of the Numerical Analysis and Its Applications, 2000

1999

Symplectic Integration with Processing: A General Study.

[BibT_eX]

[DOI]