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High algebraic order explicit methods with reduced phase-lag for an efficient solution of the Schrödinger equation

✍ Scribed by T. E. Simos


Publisher
John Wiley and Sons
Year
1999
Tongue
English
Weight
793 KB
Volume
73
Category
Article
ISSN
0020-7608

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✦ Synopsis


A family of new hybrid explicit four-step tenth algebraic order methods

Ž .

with phase lag of order 18 2 26 is developed for efficient computations of the Schrodinger ëquation.

Based on these new methods, a new embedded variable-step method is obtained. Numerical results produced for the numerical solution of the coupled equations arising from the Schrodinger equation show that the new method is better than other variable-step methods.