Optimal stability polynomials for splitting methods, with application to the time-dependent Schrödinger equation-Reference-Cited by-同舟云学术

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Optimal stability polynomials for splitting methods, with application to the time-dependent Schrödinger equation

Published:1997-11 Issue:2-3 Volume:25 Page:275-286
ISSN:0168-9274
Container-title:Applied Numerical Mathematics
language:en
Short-container-title:Applied Numerical Mathematics

Author:

McLachlan Robert I.,Gray Stephen K.

Publisher

Elsevier BV

Subject

Applied Mathematics,Computational Mathematics,Numerical Analysis

Reference12 articles.

1. The effective order of Runge-Kutta methods;Butcher,1969

2. Symplectic integrators tailored to the time-dependent Schrödinger equation;Gray;J. Chem. Phys.,1996

3. An explicit symplectic integrator with maximal stability interval;López-Marcos,1996

4. Cheap enhancement of symplectic correctors;López-Marcos,1996

5. On the numerical integration of ordinary differential equations by symmetric composition methods;McLachlan;SIAM J. Sci. Comput.,1995

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3. Bibliography;A Concise Introduction to Geometric Numerical Integration;2016-05-24

4. Error Analysis of Splitting Methods for the Time Dependent Schrödinger Equation;SIAM Journal on Scientific Computing;2011-01

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