Ander Murua

According to our database1, Ander Murua authored at least 24 papers between 1998 and 2019.

Collaborative distances:
  • Dijkstra number2 of five.
  • Erdős number3 of five.

Timeline

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PhD thesis 
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Links

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Bibliography

2019
An algorithm based on continuation techniques for minimization problems with highly non-linear equality constraints.
CoRR, 2019

2018
Efficient implementation of symplectic implicit Runge-Kutta schemes with simplified Newton iterations.
Numer. Algorithms, 2018

New Integration Methods for Perturbed ODEs Based on Symplectic Implicit Runge-Kutta Schemes with Application to Solar System Simulations.
J. Sci. Comput., 2018

2017
Reducing and monitoring round-off error propagation for symplectic implicit Runge-Kutta schemes.
Numer. Algorithms, 2017

Word Series for Dynamical Systems and Their Numerical Integrators.
Found. Comput. Math., 2017

Erratum to: Higher-Order Averaging, Formal Series and Numerical Integration II: The Quasi-Periodic Case.
Found. Comput. Math., 2017

2015
An efficient algorithm based on splitting for the time integration of the Schrödinger equation.
J. Comput. Phys., 2015

Higher-Order Averaging, Formal Series and Numerical Integration III: Error Bounds.
Found. Comput. Math., 2015

Stroboscopic Averaging for the Nonlinear Schrödinger Equation.
Found. Comput. Math., 2015

2014
Multi-revolution composition methods for highly oscillatory differential equations.
Numerische Mathematik, 2014

2013
Optimized high-order splitting methods for some classes of parabolic equations.
Math. Comput., 2013

2012
Higher-Order Averaging, Formal Series and Numerical Integration II: The Quasi-Periodic Case.
Found. Comput. Math., 2012

Efficient computation of the Zassenhaus formula.
Comput. Phys. Commun., 2012

2011
Error Analysis of Splitting Methods for the Time Dependent Schrödinger Equation.
SIAM J. Sci. Comput., 2011

2010
Higher-Order Averaging, Formal Series and Numerical Integration I: B-series.
Found. Comput. Math., 2010

2009
A new class of symplectic integration schemes based on generating functions.
Numerische Mathematik, 2009

2008
On the Linear Stability of Splitting Methods.
Found. Comput. Math., 2008

2007
Splitting methods for non-autonomous linear systems.
Int. J. Comput. Math., 2007

2006
Composition Methods for Differential Equations with Processing.
SIAM J. Sci. Comput., 2006

An Algebraic Approach to Invariant Preserving Integators: The Case of Quadratic and Hamiltonian Invariants.
Numerische Mathematik, 2006

The Hopf Algebra of Rooted Trees, Free Lie Algebras, and Lie Series.
Found. Comput. Math., 2006

2004
On the Numerical Integration of Ordinary Differential Equations by Processed Methods.
SIAM J. Numer. Anal., 2004

Reversible methods of Runge-Kutta type for Index-2 DAEs.
Numerische Mathematik, 2004

1998
Non-stiff integrators for differential-algebraic systems of index 2.
Numer. Algorithms, 1998


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