Three stages symmetric six-step method with eliminated phase-lag and its derivatives for the solution of the Schrodinger equation / Berg Dmitriy B.,Simos T. E. // JOURNAL OF MATHEMATICAL CHEMISTRY. - 2017. - V. 55, l. 5. - P. 1213-1235.

ISSN/EISSN:

0259-9791 / 1572-8897

Type:

Article

Abstract:

For the first time in the literature we develop in this paper a three stages symmetric six-step scheme with twelfth algebraic and eliminated phase-lag and its first derivative. An additional characteristic of the new scheme is that the first and the second layer denote the approximation of the function on the point . We also present a local truncation error analysis and a stability and interval of periodicity analysis and we compared the new scheme with the classical scheme (i.e. scheme with constant coefficients). Additionally, we examine in details the accuracy and computational efficiency of the new developed scheme on the numerical solution of the Schrodinger equation. The study and investigation which are presented in this paper, lead to the conclusion that the new obtained scheme is more effective than other known or recently developed methods of the literature.

Author keywords:

Schrodinger equation; Multistep methods; Multistage methods; Interval of periodicity; Phase-lag; Phase-fitted; Derivatives of the phase-lag TRIGONOMETRICALLY-FITTED FORMULAS; INITIAL-VALUE-PROBLEMS; PREDICTOR-CORRECTOR METHOD; RUNGE-KUTTA METHODS; EXPLICIT 4-STEP METHOD; LONG-TIME INTEGRATION; 8TH ALGEBRAIC ORDER; P-STABLE METHOD; MULTILAYER SYMPLECTIC INTEGRATORS; RADIAL SHRODINGER EQUATION

DOI:

10.1007/s10910-017-0738-8

Web of Science ID:

ISI:000399151000007

Соавторы в МНС:

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Другие поля

Поле	Значение
Month	MAY
Publisher	SPRINGER
Address	233 SPRING ST, NEW YORK, NY 10013 USA
Language	English
EISSN	1572-8897
Keywords-Plus	TRIGONOMETRICALLY-FITTED FORMULAS; INITIAL-VALUE-PROBLEMS; PREDICTOR-CORRECTOR METHOD; RUNGE-KUTTA METHODS; EXPLICIT 4-STEP METHOD; LONG-TIME INTEGRATION; 8TH ALGEBRAIC ORDER; P-STABLE METHOD; MULTILAYER SYMPLECTIC INTEGRATORS; RADIAL SHRODINGER EQUATION
Research-Areas	Chemistry; Mathematics
Web-of-Science-Categories	Chemistry, Multidisciplinary; Mathematics, Interdisciplinary Applications
Author-Email	tsimos.conf@gmail.com
ResearcherID-Numbers	Simos, Theodore/H-6033-2011
Number-of-Cited-References	148
Usage-Count-Last-180-days	1
Usage-Count-Since-2013	1
Journal-ISO	J. Math. Chem.
Doc-Delivery-Number	ER9MR