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Error growth in the numerical integration of periodic orbits

JOURNAL ARTICLE published August 2011 in Mathematics and Computers in Simulation

Authors: M. Calvo | M.P. Laburta | J.I. Montijano | L. Rández

A note on the error growth in the numerical integration of periodic orbits

JOURNAL ARTICLE published December 2007 in PAMM

Authors: M. Calvo | M.P. Laburta | J.I. Montijano | L. Rández

On the Long Time Error of First Integrals of Some Numerical Integrators

PROCEEDINGS ARTICLE published 2008 in AIP Conference Proceedings

Authors: M. Calvo | P. Laburta | J. I. Montijano | L. Rández

Projection methods preserving Lyapunov functions

JOURNAL ARTICLE published June 2010 in BIT Numerical Mathematics

Authors: M. Calvo | M. P. Laburta | J. I. Montijano | L. Rández

Runge–Kutta projection methods with low dispersion and dissipation errors

JOURNAL ARTICLE published February 2015 in Advances in Computational Mathematics

Authors: M. Calvo | M. P. Laburta | J. I. Montijano | L. Rández

JOURNAL ARTICLE published 2003 in Advances in Computational Mathematics

Authors: M. Calvo | M.P. Laburta | J.I. Montijano

Approximate preservation of quadratic first integrals by explicit Runge–Kutta methods

JOURNAL ARTICLE published April 2010 in Advances in Computational Mathematics

Authors: M. Calvo | M. P. Laburta | J. I. Montijano | L. Rández

Numerical methods for non conservative perturbations of conservative problems

JOURNAL ARTICLE published February 2015 in Computer Physics Communications

Authors: M.P. Laburta | J.I. Montijano | L. Rández | M. Calvo

On the numerical integration of orthogonal flows with Runge–Kutta methods

JOURNAL ARTICLE published March 2000 in Journal of Computational and Applied Mathematics

Authors: M. Calvo | M.P. Laburta | J.I. Montijano | L. Rández

Error growth in the numerical integration of periodic orbits by multistep methods, with application to reversible systems

JOURNAL ARTICLE published 1 January 1998 in IMA Journal of Numerical Analysis

Authors: B Cano

Error Growth in the Numerical Integration of Periodic Orbits, with Application to Hamiltonian and Reversible Systems

JOURNAL ARTICLE published August 1997 in SIAM Journal on Numerical Analysis

Authors: B. Cano | J. M. Sanz-Serna

Explicit methods of numerical integration for parabolic equations

JOURNAL ARTICLE published June 2011 in Mathematical Models and Computer Simulations

Authors: V. T. Zhukov

On the Preservation of Lyapunov Functions by Runge—Kutta Methods

PROCEEDINGS ARTICLE published 2009 in AIP Conference Proceedings

Authors: M. Calvo | M. P. Laburta | J. I. Montijano | L. Rández | Theodore E. Simos | George Psihoyios | Ch. Tsitouras

Initializers for RK-Gauss methods based on pseudo-symplecticity

JOURNAL ARTICLE published May 2006 in Journal of Computational and Applied Mathematics

Authors: M. Calvo | M.P. Laburta | J.I. Montijano

Starting algorithms for Gauss Runge-Kutta methods for Hamiltonian systems

JOURNAL ARTICLE published January 2003 in Computers & Mathematics with Applications

Authors: M. Calvo | M.P. Laburta | J.I. Montijano

On the derivation of explicit two-step peer methods

JOURNAL ARTICLE published April 2011 in Applied Numerical Mathematics

Authors: M. Calvo | J.I. Montijano | L. Rández | M. Van Daele

JOURNAL ARTICLE published 2003 in Numerical Algorithms

Authors: M. Calvo | J.I. Montijano | L. Rández

Coefficients of Euler-Maclaurin formulas for numerical integration

JOURNAL ARTICLE published January 2014 in Mathematical Models and Computer Simulations

Authors: A. A. Belov

JOURNAL ARTICLE published 2000 in Numerical Algorithms

Authors: M. Calvo | S. González‐Pinto | J.I. Montijano

On explicit multi-revolution Runge–Kutta schemes

JOURNAL ARTICLE published 26 February 2007 in Advances in Computational Mathematics

Authors: M. Calvo | J. I. Montijano | L. Rández