Ander Murua - researchr alias

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Viewing Publication 1 - 22 from 22

2022

N-body problemMikel Antoñana, Philippe Chartier, Ander Murua. ijcm, 99(1):158-183, 2022. [doi]

2020

Global Time-Renormalization of the Gravitational N-body ProblemMikel Antoñana, Philippe Chartier, Joseba Makazaga, Ander Murua. siamads, 19(4):2658-2681, 2020. [doi]

2018

Efficient implementation of symplectic implicit Runge-Kutta schemes with simplified Newton iterationsMikel Antoñana, Joseba Makazaga, Ander Murua. na, 78(1):63-86, 2018. [doi]

New Integration Methods for Perturbed ODEs Based on Symplectic Implicit Runge-Kutta Schemes with Application to Solar System SimulationsMikel Antoñana, Joseba Makazaga, Ander Murua. jscic, 76(1):630-650, 2018. [doi]

2017

Reducing and monitoring round-off error propagation for symplectic implicit Runge-Kutta schemesMikel Antoñana, Joseba Makazaga, Ander Murua. na, 76(4):861-880, 2017. [doi]

Erratum to: Higher-Order Averaging, Formal Series and Numerical Integration II: The Quasi-Periodic CasePhilippe Chartier, Ander Murua, J.-M. Sanz-Serna. focm, 17(2):625-626, 2017. [doi]

Word Series for Dynamical Systems and Their Numerical IntegratorsAnder Murua, J.-M. Sanz-Serna. focm, 17(3):675-712, 2017. [doi]

2015

An efficient algorithm based on splitting for the time integration of the Schrödinger equationSergio Blanes, Fernando Casas, Ander Murua. jcphy, 303:396-412, 2015. [doi]

Stroboscopic Averaging for the Nonlinear Schrödinger EquationFrançois Castella, Philippe Chartier, Florian Méhats, Ander Murua. focm, 15(2):519-559, 2015. [doi]

Higher-Order Averaging, Formal Series and Numerical Integration III: Error BoundsPhilippe Chartier, Ander Murua, J.-M. Sanz-Serna. focm, 15(2):591-612, 2015. [doi]

2014

Multi-revolution composition methods for highly oscillatory differential equationsPhilippe Chartier, Joseba Makazaga, Ander Murua, Gilles Vilmart. nm, 128(1):167-192, 2014. [doi]

2013

Optimized high-order splitting methods for some classes of parabolic equationsSergio Blanes, Fernando Casas, Philippe Chartier, Ander Murua. moc, 82(283):1559-1576, 2013. [doi]

2012

Efficient computation of the Zassenhaus formulaFernando Casas, Ander Murua, Mladen Nadinic. cphysics, 183(11):2386-2391, 2012. [doi]

2011

Error Analysis of Splitting Methods for the Time Dependent Schrödinger EquationSergio Blanes, Fernando Casas, Ander Murua. siamsc, 33(4):1525-1548, 2011. [doi]

2009

A new class of symplectic integration schemes based on generating functionsJoseba Makazaga, Ander Murua. nm, 113(4):631-642, 2009. [doi]

2008

On the Linear Stability of Splitting MethodsSergio Blanes, Fernando Casas, Ander Murua. focm, 8(3):357-393, 2008. [doi]

2007

Splitting methods for non-autonomous linear systemsSergio Blanes, Fernando Casas, Ander Murua. ijcm, 84(6):713-727, 2007. [doi]

2006

Composition Methods for Differential Equations with ProcessingSergio Blanes, Fernando Casas, Ander Murua. siamsc, 27(6):1817-1843, 2006. [doi]

An Algebraic Approach to Invariant Preserving Integators: The Case of Quadratic and Hamiltonian InvariantsPhilippe Chartier, Erwan Faou, Ander Murua. nm, 103(4):575-590, 2006. [doi]

2004

On the Numerical Integration of Ordinary Differential Equations by Processed MethodsSergio Blanes, Fernando Casas, Ander Murua. siamnum, 42(2):531-552, 2004. [doi]

Reversible methods of Runge-Kutta type for Index-2 DAEsR. P. K. Chan, Philippe Chartier, Ander Murua. nm, 97(3):427-440, 2004. [doi]

1998

Non-stiff integrators for differential-algebraic systems of index 2Martin Arnold, Ander Murua. na, 19(1-4):25-41, 1998. [doi]

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