Partitioned Half-Explicit Runge-Kutta Methods for Differential-Algebraic Systems of Index 2. - Ander Murua (Computing, 1997)

Non-stiff integrators for differential-algebraic systems of index 2. - Martin Arnold; Ander Murua (Numer. Algorithms, 1998)

Reversible methods of Runge-Kutta type for Index-2 DAEs. - Robert P. K. Chan; Philippe Chartier; Ander Murua (Numerische Mathematik, 2004)

On the Numerical Integration of Ordinary Differential Equations by Processed Methods. - Sergio Blanes; Fernando Casas; Ander Murua (SIAM J. Numer. Anal., 2004)

The Hopf Algebra of Rooted Trees, Free Lie Algebras, and Lie Series. - Ander Murua (Found. Comput. Math., 2006)

An Algebraic Approach to Invariant Preserving Integators: The Case of Quadratic and Hamiltonian Invariants. - Philippe Chartier; Erwan Faou; Ander Murua (Numerische Mathematik, 2006)

Composition Methods for Differential Equations with Processing. - Sergio Blanes; Fernando Casas; Ander Murua (SIAM J. Sci. Comput., 2006)

Splitting methods for non-autonomous linear systems. - Sergio Blanes; Fernando Casas; Ander Murua (Int. J. Comput. Math., 2007)

On the Linear Stability of Splitting Methods. - Sergio Blanes; Fernando Casas; Ander Murua (Found. Comput. Math., 2008)

A new class of symplectic integration schemes based on generating functions. - Joseba Makazaga; Ander Murua (Numerische Mathematik, 2009)

Higher-Order Averaging, Formal Series and Numerical Integration I: B-series. - Philippe Chartier; Ander Murua; Jesús María Sanz-Serna (Found. Comput. Math., 2010)

Error Analysis of Splitting Methods for the Time Dependent Schrödinger Equation. - Sergio Blanes; Fernando Casas; Ander Murua (SIAM J. Sci. Comput., 2011)

Efficient computation of the Zassenhaus formula. - Fernando Casas; Ander Murua; Mladen Nadinic (Comput. Phys. Commun., 2012)

Higher-Order Averaging, Formal Series and Numerical Integration II: The Quasi-Periodic Case. - Philippe Chartier; Ander Murua; Jesús María Sanz-Serna (Found. Comput. Math., 2012)

Optimized high-order splitting methods for some classes of parabolic equations. - Sergio Blanes; Fernando Casas; Philippe Chartier; Ander Murua (Math. Comput., 2013)

Multi-revolution composition methods for highly oscillatory differential equations. - Philippe Chartier; Joseba Makazaga; Ander Murua; Gilles Vilmart (Numerische Mathematik, 2014)

Stroboscopic Averaging for the Nonlinear Schrödinger Equation. - François Castella; Philippe Chartier; Florian Méhats; Ander Murua (Found. Comput. Math., 2015)

Higher-Order Averaging, Formal Series and Numerical Integration III: Error Bounds. - Philippe Chartier; Ander Murua; Jesús María Sanz-Serna (Found. Comput. Math., 2015)

An efficient algorithm based on splitting for the time integration of the Schrödinger equation. - Sergio Blanes; Fernando Casas; Ander Murua (J. Comput. Phys., 2015)

Erratum to: Higher-Order Averaging, Formal Series and Numerical Integration II: The Quasi-Periodic Case. - Philippe Chartier; Ander Murua; Jesús María Sanz-Serna (Found. Comput. Math., 2017)

Word Series for Dynamical Systems and Their Numerical Integrators. - Ander Murua; Jesús María Sanz-Serna (Found. Comput. Math., 2017)

Reducing and monitoring round-off error propagation for symplectic implicit Runge-Kutta schemes. - Mikel Antoñana; Joseba Makazaga; Ander Murua (Numer. Algorithms, 2017)

New Integration Methods for Perturbed ODEs Based on Symplectic Implicit Runge-Kutta Schemes with Application to Solar System Simulations. - Mikel Antoñana; Joseba Makazaga; Ander Murua (J. Sci. Comput., 2018)

Efficient implementation of symplectic implicit Runge-Kutta schemes with simplified Newton iterations. - Mikel Antoñana; Joseba Makazaga; Ander Murua (Numer. Algorithms, 2018)

An algorithm based on continuation techniques for minimization problems with highly non-linear equality constraints. - Elisabete Alberdi; Mikel Antoñana; Joseba Makazaga; Ander Murua (CoRR, 2019)

Global Time-Renormalization of the Gravitational N-body Problem. - Mikel Antoñana; Philippe Chartier; Joseba Makazaga; Ander Murua (SIAM J. Appl. Dyn. Syst., 2020)

Majorant series for the $N$-body problem. - Mikel Antoñana; Philippe Chartier; Ander Murua (CoRR, 2021)

An implicit symplectic solver for high-precision long term integrations of the Solar System. - Mikel Antoñana; Elisabete Alberdi; Joseba Makazaga; Ander Murua (CoRR, 2022)

Majorant series for the N-body problem. - Mikel Antoñana; Philippe Chartier; Ander Murua (Int. J. Comput. Math., 2022)

Splitting methods for differential equations. - Sergio Blanes; Fernando Casas; Ander Murua (Acta Numer., 2024)

Taylor-Fourier integration. - M. P. Calvo; Joseba Makazaga; Ander Murua (CoRR, 2024)

Taylor-Fourier Approximation. - M. P. Calvo; Joseba Makazaga; Ander Murua (J. Sci. Comput., 2025)

Correction to: Taylor-Fourier Approximation. - M. P. Calvo; Joseba Makazaga; Ander Murua (J. Sci. Comput., 2025)