Ander Murua

CoRR, 2024

2022

Majorant series for the <i>N</i>-body problem.

[BibT_eX]

[DOI]

Int. J. Comput. Math., 2022

An implicit symplectic solver for high-precision long term integrations of the Solar System.

[BibT_eX]

[DOI]

CoRR, 2022

2021

Majorant series for the $N$-body problem.

[BibT_eX]

[DOI]

CoRR, 2021

2020

Global Time-Renormalization of the Gravitational N-body Problem.

[BibT_eX]

[DOI]

SIAM J. Appl. Dyn. Syst., 2020

2019

An algorithm based on continuation techniques for minimization problems with highly non-linear equality constraints.

[BibT_eX]

[DOI]

CoRR, 2019

2018

Efficient implementation of symplectic implicit Runge-Kutta schemes with simplified Newton iterations.

[BibT_eX]

[DOI]

Numer. Algorithms, 2018

New Integration Methods for Perturbed ODEs Based on Symplectic Implicit Runge-Kutta Schemes with Application to Solar System Simulations.

[BibT_eX]

[DOI]

J. Sci. Comput., 2018

2017

Reducing and monitoring round-off error propagation for symplectic implicit Runge-Kutta schemes.

[BibT_eX]

[DOI]

Numer. Algorithms, 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

2015

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

[BibT_eX]

[DOI]

J. Comput. Phys., 2015

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

[BibT_eX]

[DOI]

Found. Comput. Math., 2015

Stroboscopic Averaging for the Nonlinear Schrödinger Equation.

[BibT_eX]

[DOI]

Found. Comput. Math., 2015

2014

Multi-revolution composition methods for highly oscillatory differential equations.

[BibT_eX]

[DOI]

Numerische Mathematik, 2014

2013

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

[BibT_eX]

[DOI]

Math. Comput., 2013

2012

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

[BibT_eX]

[DOI]

Found. Comput. Math., 2012

Efficient computation of the Zassenhaus formula.

[BibT_eX]

[DOI]

Mladen Nadinic

Comput. Phys. Commun., 2012

2011

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

[BibT_eX]

[DOI]

SIAM J. Sci. Comput., 2011

2010

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

[BibT_eX]

[DOI]

Found. Comput. Math., 2010

2009

A new class of symplectic integration schemes based on generating functions.

[BibT_eX]

[DOI]

Numerische Mathematik, 2009

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

An Algebraic Approach to Invariant Preserving Integators: The Case of Quadratic and Hamiltonian Invariants.

[BibT_eX]

[DOI]

Erwan Faou

Numerische Mathematik, 2006

The Hopf Algebra of Rooted Trees, Free Lie Algebras, and Lie Series.

[BibT_eX]

[DOI]

Found. Comput. Math., 2006

2004

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

[BibT_eX]

[DOI]

SIAM J. Numer. Anal., 2004

Reversible methods of Runge-Kutta type for Index-2 DAEs.

[BibT_eX]

[DOI]

Robert P. K. Chan

Numerische Mathematik, 2004

1998

Non-stiff integrators for differential-algebraic systems of index 2.

[BibT_eX]

[DOI]

Martin Arnold

Numer. Algorithms, 1998

1997

Partitioned Half-Explicit Runge-Kutta Methods for Differential-Algebraic Systems of Index 2.

[BibT_eX]

[DOI]