Ander Murua

35 papers Journal 35
YearRankTypeTitle / Venue / Authors
2025 J jnl
Correction to: Taylor-Fourier Approximation.
J. Sci. Comput.
Mari Paz Calvo, Joseba Makazaga, Ander Murua
2025 J jnl
SIMD-vectorized implicit symplectic integrators can outperform explicit ones.
CoRR
Mikel Antoñana, Joseba Makazaga, Ander Murua
2025 J jnl
Taylor-Fourier Approximation.
J. Sci. Comput.
Mari Paz Calvo, Joseba Makazaga, Ander Murua
2024 J jnl
Splitting Methods for differential equations.
CoRR
Sergio Blanes, Fernando Casas, Ander Murua
2024 J jnl
Splitting methods for differential equations.
Acta Numer.
Sergio Blanes, Fernando Casas, Ander Murua
2024 J jnl
Taylor-Fourier integration.
CoRR
Mari Paz Calvo, Joseba Makazaga, Ander Murua
2022 J jnl
An implicit symplectic solver for high-precision long term integrations of the Solar System.
CoRR
Mikel Antoñana, Elisabete Alberdi, Joseba Makazaga, Ander Murua
2022 J jnl
Majorant series for the
Int. J. Comput. Math.
Mikel Antoñana, Philippe Chartier, Ander Murua
2021 J jnl
Majorant series for the $N$-body problem.
CoRR
Mikel Antoñana, Philippe Chartier, Ander Murua
2020 J jnl
Global Time-Renormalization of the Gravitational N-body Problem.
SIAM J. Appl. Dyn. Syst.
Mikel Antoñana, Philippe Chartier, Joseba Makazaga, Ander Murua
2019 J jnl
An algorithm based on continuation techniques for minimization problems with highly non-linear equality constraints.
CoRR
Elisabete Alberdi, Mikel Antoñana, Joseba Makazaga, Ander Murua
2018 J jnl
Efficient implementation of symplectic implicit Runge-Kutta schemes with simplified Newton iterations.
Numer. Algorithms
Mikel Antoñana, Joseba Makazaga, Ander Murua
2018 J jnl
New Integration Methods for Perturbed ODEs Based on Symplectic Implicit Runge-Kutta Schemes with Application to Solar System Simulations.
J. Sci. Comput.
Mikel Antoñana, Joseba Makazaga, Ander Murua
2017 J jnl
Erratum to: Higher-Order Averaging, Formal Series and Numerical Integration II: The Quasi-Periodic Case.
Found. Comput. Math.
Philippe Chartier, Ander Murua, Jesús María Sanz-Serna
2017 J jnl
Reducing and monitoring round-off error propagation for symplectic implicit Runge-Kutta schemes.
Numer. Algorithms
Mikel Antoñana, Joseba Makazaga, Ander Murua
2017 J jnl
Word Series for Dynamical Systems and Their Numerical Integrators.
Found. Comput. Math.
Ander Murua, Jesús María Sanz-Serna
2015 J jnl
An efficient algorithm based on splitting for the time integration of the Schrödinger equation.
J. Comput. Phys.
Sergio Blanes, Fernando Casas, Ander Murua
2015 J jnl
Higher-Order Averaging, Formal Series and Numerical Integration III: Error Bounds.
Found. Comput. Math.
Philippe Chartier, Ander Murua, Jesús María Sanz-Serna
2015 J jnl
Stroboscopic Averaging for the Nonlinear Schrödinger Equation.
Found. Comput. Math.
François Castella, Philippe Chartier, Florian Méhats, Ander Murua
2014 J jnl
Multi-revolution composition methods for highly oscillatory differential equations.
Numerische Mathematik
Philippe Chartier, Joseba Makazaga, Ander Murua, Gilles Vilmart
2013 J jnl
Optimized high-order splitting methods for some classes of parabolic equations.
Math. Comput.
Sergio Blanes, Fernando Casas, Philippe Chartier, Ander Murua
2012 J jnl
Efficient computation of the Zassenhaus formula.
Comput. Phys. Commun.
Fernando Casas, Ander Murua, Mladen Nadinic
2012 J jnl
Higher-Order Averaging, Formal Series and Numerical Integration II: The Quasi-Periodic Case.
Found. Comput. Math.
Philippe Chartier, Ander Murua, Jesús María Sanz-Serna
2011 J jnl
Error Analysis of Splitting Methods for the Time Dependent Schrödinger Equation.
SIAM J. Sci. Comput.
Sergio Blanes, Fernando Casas, Ander Murua
2010 J jnl
Higher-Order Averaging, Formal Series and Numerical Integration I: B-series.
Found. Comput. Math.
Philippe Chartier, Ander Murua, Jesús María Sanz-Serna
2009 J jnl
A new class of symplectic integration schemes based on generating functions.
Numerische Mathematik
Joseba Makazaga, Ander Murua
2008 J jnl
On the Linear Stability of Splitting Methods.
Found. Comput. Math.
Sergio Blanes, Fernando Casas, Ander Murua
2007 J jnl
Splitting methods for non-autonomous linear systems.
Int. J. Comput. Math.
Sergio Blanes, Fernando Casas, Ander Murua
2006 J jnl
An Algebraic Approach to Invariant Preserving Integators: The Case of Quadratic and Hamiltonian Invariants.
Numerische Mathematik
Philippe Chartier, Erwan Faou, Ander Murua
2006 J jnl
Composition Methods for Differential Equations with Processing.
SIAM J. Sci. Comput.
Sergio Blanes, Fernando Casas, Ander Murua
2006 J jnl
The Hopf Algebra of Rooted Trees, Free Lie Algebras, and Lie Series.
Found. Comput. Math.
Ander Murua
2004 J jnl
On the Numerical Integration of Ordinary Differential Equations by Processed Methods.
SIAM J. Numer. Anal.
Sergio Blanes, Fernando Casas, Ander Murua
2004 J jnl
Reversible methods of Runge-Kutta type for Index-2 DAEs.
Numerische Mathematik
Robert P. K. Chan, Philippe Chartier, Ander Murua
1998 J jnl
Non-stiff integrators for differential-algebraic systems of index 2.
Numer. Algorithms
Martin Arnold, Ander Murua
1997 J jnl
Partitioned Half-Explicit Runge-Kutta Methods for Differential-Algebraic Systems of Index 2.
Computing
Ander Murua