Ander Murua

Publication Activity (10 Years)

Years Active: 1997-2024
Publications (10 Years): 12

Top Topics

Differential Equations

Numerical Integration

Top Venues

Found. Comput. Math.

Numer. Algorithms

J. Comput. Phys.

Publications

Sergio Blanes, Fernando Casas, Ander Murua
Splitting Methods for differential equations. CoRR (2024)
M. P. Calvo, Joseba Makazaga, Ander Murua
Taylor-Fourier integration. CoRR (2024)
Mikel Antoñana, Philippe Chartier, Ander Murua
-body problem. Int. J. Comput. Math. 99 (1) (2022)
Mikel Antoñana, Elisabete Alberdi, Joseba Makazaga, Ander Murua
An implicit symplectic solver for high-precision long term integrations of the Solar System. CoRR (2022)
Mikel Antoñana, Philippe Chartier, Ander Murua
Majorant series for the $N$-body problem. CoRR (2021)
Mikel Antoñana, Philippe Chartier, Joseba Makazaga, Ander Murua
Global Time-Renormalization of the Gravitational N-body Problem. SIAM J. Appl. Dyn. Syst. 19 (4) (2020)
Elisabete Alberdi, Mikel Antoñana, Joseba Makazaga, Ander Murua
An algorithm based on continuation techniques for minimization problems with highly non-linear equality constraints. CoRR (2019)
Mikel Antoñana, Joseba Makazaga, Ander Murua
Efficient implementation of symplectic implicit Runge-Kutta schemes with simplified Newton iterations. Numer. Algorithms 78 (1) (2018)
Mikel Antoñana, Joseba Makazaga, Ander Murua
New Integration Methods for Perturbed ODEs Based on Symplectic Implicit Runge-Kutta Schemes with Application to Solar System Simulations. J. Sci. Comput. 76 (1) (2018)
Ander Murua, Jesús María Sanz-Serna
Word Series for Dynamical Systems and Their Numerical Integrators. Found. Comput. Math. 17 (3) (2017)
Philippe Chartier, Ander Murua, Jesús María Sanz-Serna
Erratum to: Higher-Order Averaging, Formal Series and Numerical Integration II: The Quasi-Periodic Case. Found. Comput. Math. 17 (2) (2017)
Mikel Antoñana, Joseba Makazaga, Ander Murua
Reducing and monitoring round-off error propagation for symplectic implicit Runge-Kutta schemes. Numer. Algorithms 76 (4) (2017)
Sergio Blanes, Fernando Casas, Ander Murua
An efficient algorithm based on splitting for the time integration of the Schrödinger equation. J. Comput. Phys. 303 (2015)
François Castella, Philippe Chartier, Florian Méhats, Ander Murua
Stroboscopic Averaging for the Nonlinear Schrödinger Equation. Found. Comput. Math. 15 (2) (2015)
Philippe Chartier, Ander Murua, Jesús María Sanz-Serna
Higher-Order Averaging, Formal Series and Numerical Integration III: Error Bounds. Found. Comput. Math. 15 (2) (2015)
Philippe Chartier, Joseba Makazaga, Ander Murua, Gilles Vilmart
Multi-revolution composition methods for highly oscillatory differential equations. Numerische Mathematik 128 (1) (2014)
Sergio Blanes, Fernando Casas, Philippe Chartier, Ander Murua
Optimized high-order splitting methods for some classes of parabolic equations. Math. Comput. 82 (283) (2013)
Philippe Chartier, Ander Murua, Jesús María Sanz-Serna
Higher-Order Averaging, Formal Series and Numerical Integration II: The Quasi-Periodic Case. Found. Comput. Math. 12 (4) (2012)
Fernando Casas, Ander Murua, Mladen Nadinic
Efficient computation of the Zassenhaus formula. Comput. Phys. Commun. 183 (11) (2012)
Sergio Blanes, Fernando Casas, Ander Murua
Error Analysis of Splitting Methods for the Time Dependent Schrödinger Equation. SIAM J. Sci. Comput. 33 (4) (2011)
Philippe Chartier, Ander Murua, Jesús María Sanz-Serna
Higher-Order Averaging, Formal Series and Numerical Integration I: B-series. Found. Comput. Math. 10 (6) (2010)
Joseba Makazaga, Ander Murua
A new class of symplectic integration schemes based on generating functions. Numerische Mathematik 113 (4) (2009)
Sergio Blanes, Fernando Casas, Ander Murua
On the Linear Stability of Splitting Methods. Found. Comput. Math. 8 (3) (2008)
Sergio Blanes, Fernando Casas, Ander Murua
Splitting methods for non-autonomous linear systems. Int. J. Comput. Math. 84 (6) (2007)
Ander Murua
The Hopf Algebra of Rooted Trees, Free Lie Algebras, and Lie Series. Found. Comput. Math. 6 (4) (2006)
Philippe Chartier, Erwan Faou, Ander Murua
An Algebraic Approach to Invariant Preserving Integators: The Case of Quadratic and Hamiltonian Invariants. Numerische Mathematik 103 (4) (2006)
Sergio Blanes, Fernando Casas, Ander Murua
Composition Methods for Differential Equations with Processing. SIAM J. Sci. Comput. 27 (6) (2006)
Sergio Blanes, Fernando Casas, Ander Murua
On the Numerical Integration of Ordinary Differential Equations by Processed Methods. SIAM J. Numer. Anal. 42 (2) (2004)
R. P. K. Chan, Philippe Chartier, Ander Murua
Reversible methods of Runge-Kutta type for Index-2 DAEs. Numerische Mathematik 97 (3) (2004)
Martin Arnold, Ander Murua
Non-stiff integrators for differential-algebraic systems of index 2. Numer. Algorithms 19 (1-4) (1998)
Ander Murua
Partitioned Half-Explicit Runge-Kutta Methods for Differential-Algebraic Systems of Index 2. Computing 59 (1) (1997)