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Ander Murua
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2020 – today
- 2024
- [j27]Sergio Blanes
, Fernando Casas, Ander Murua:
Splitting methods for differential equations. Acta Numer. 33: 1-161 (2024) - [i5]Sergio Blanes, Fernando Casas, Ander Murua:
Splitting Methods for differential equations. CoRR abs/2401.01722 (2024) - [i4]M. P. Calvo, Joseba Makazaga, Ander Murua:
Taylor-Fourier integration. CoRR abs/2406.03124 (2024) - 2022
- [j26]Mikel Antoñana
Majorant series for the N-body problem. Int. J. Comput. Math. 99(1): 158-183 (2022) - [i3]Mikel Antoñana, Elisabete Alberdi, Joseba Makazaga, Ander Murua:
An implicit symplectic solver for high-precision long term integrations of the Solar System. CoRR abs/2204.01539 (2022) - 2021
- [i2]Mikel Antoñana, Philippe Chartier, Ander Murua:
Majorant series for the $N$-body problem. CoRR abs/2103.12839 (2021) - 2020
- [j25]Mikel Antoñana
Global Time-Renormalization of the Gravitational N-body Problem. SIAM J. Appl. Dyn. Syst. 19(4): 2658-2681 (2020)
2010 – 2019
- 2019
- [i1]Elisabete Alberdi, Mikel Antoñana, Joseba Makazaga, Ander Murua:
An algorithm based on continuation techniques for minimization problems with highly non-linear equality constraints. CoRR abs/1909.07263 (2019) - 2018
- [j24]Mikel Antoñana
New Integration Methods for Perturbed ODEs Based on Symplectic Implicit Runge-Kutta Schemes with Application to Solar System Simulations. J. Sci. Comput. 76(1): 630-650 (2018) - [j23]Mikel Antoñana
Efficient implementation of symplectic implicit Runge-Kutta schemes with simplified Newton iterations. Numer. Algorithms 78(1): 63-86 (2018) - 2017
- [j22]Philippe Chartier, Ander Murua
Erratum to: Higher-Order Averaging, Formal Series and Numerical Integration II: The Quasi-Periodic Case. Found. Comput. Math. 17(2): 625-626 (2017) - [j21]Ander Murua
Word Series for Dynamical Systems and Their Numerical Integrators. Found. Comput. Math. 17(3): 675-712 (2017) - [j20]Mikel Antoñana
Reducing and monitoring round-off error propagation for symplectic implicit Runge-Kutta schemes. Numer. Algorithms 76(4): 861-880 (2017) - 2015
- [j19]François Castella, Philippe Chartier, Florian Méhats, Ander Murua
Stroboscopic Averaging for the Nonlinear Schrödinger Equation. Found. Comput. Math. 15(2): 519-559 (2015) - [j18]Philippe Chartier, Ander Murua
Higher-Order Averaging, Formal Series and Numerical Integration III: Error Bounds. Found. Comput. Math. 15(2): 591-612 (2015) - [j17]Sergio Blanes
An efficient algorithm based on splitting for the time integration of the Schrödinger equation. J. Comput. Phys. 303: 396-412 (2015) - 2014
- [j16]Philippe Chartier, Joseba Makazaga
Multi-revolution composition methods for highly oscillatory differential equations. Numerische Mathematik 128(1): 167-192 (2014) - 2013
- [j15]Sergio Blanes
Optimized high-order splitting methods for some classes of parabolic equations. Math. Comput. 82(283): 1559-1576 (2013) - 2012
- [j14]Fernando Casas
Efficient computation of the Zassenhaus formula. Comput. Phys. Commun. 183(11): 2386-2391 (2012) - [j13]Philippe Chartier, Ander Murua
Higher-Order Averaging, Formal Series and Numerical Integration II: The Quasi-Periodic Case. Found. Comput. Math. 12(4): 471-508 (2012) - 2011
- [j12]Sergio Blanes
Error Analysis of Splitting Methods for the Time Dependent Schrödinger Equation. SIAM J. Sci. Comput. 33(4): 1525-1548 (2011) - 2010
- [j11]Philippe Chartier, Ander Murua
Higher-Order Averaging, Formal Series and Numerical Integration I: B-series. Found. Comput. Math. 10(6): 695-727 (2010)
2000 – 2009
- 2009
- [j10]Joseba Makazaga
A new class of symplectic integration schemes based on generating functions. Numerische Mathematik 113(4): 631-642 (2009) - 2008
- [j9]Sergio Blanes
On the Linear Stability of Splitting Methods. Found. Comput. Math. 8(3): 357-393 (2008) - 2007
- [j8]Sergio Blanes
Splitting methods for non-autonomous linear systems. Int. J. Comput. Math. 84(6): 713-727 (2007) - 2006
- [j7]Ander Murua
The Hopf Algebra of Rooted Trees, Free Lie Algebras, and Lie Series. Found. Comput. Math. 6(4): 387-426 (2006) - [j6]Philippe Chartier, Erwan Faou, Ander Murua
An Algebraic Approach to Invariant Preserving Integators: The Case of Quadratic and Hamiltonian Invariants. Numerische Mathematik 103(4): 575-590 (2006) - [j5]Sergio Blanes
Composition Methods for Differential Equations with Processing. SIAM J. Sci. Comput. 27(6): 1817-1843 (2006) - 2004
- [j4]Robert P. K. Chan, Philippe Chartier, Ander Murua
Reversible methods of Runge-Kutta type for Index-2 DAEs. Numerische Mathematik 97(3): 427-440 (2004) - [j3]Sergio Blanes
On the Numerical Integration of Ordinary Differential Equations by Processed Methods. SIAM J. Numer. Anal. 42(2): 531-552 (2004)
1990 – 1999
- 1998
- [j2]Martin Arnold
Non-stiff integrators for differential-algebraic systems of index 2. Numer. Algorithms 19(1-4): 25-41 (1998) - 1997
- [j1]Ander Murua:
Partitioned Half-Explicit Runge-Kutta Methods for Differential-Algebraic Systems of Index 2. Computing 59(1): 43-62 (1997)
Coauthor Index
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