A Family of Symmetric Linear Multistep Methods for the Numerical Solution of the Schroedinger Equation and Related Problems

Journal Article · Thu Sep 30 00:00:00 EDT 2010 · AIP Conference Proceedings

DOI:https://doi.org/10.1063/1.3498259· OSTI ID:21428581

Anastassi, Z A ^[1]; Simos, T E ^[2]

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1. Department of Finance and Auditing, School of Management and Economics, Technological Educational Institute of Kalamata, GR-241 00 Antikalamos (Greece)
2. Laboratory of Computational Sciences, Department of Computer Science and Technology, Faculty of Sciences and Technology, University of Peloponnese, GR-22 100 Tripolis (Greece)

We develop a new family of explicit symmetric linear multistep methods for the efficient numerical solution of the Schroedinger equation and related problems with oscillatory solution. The new methods are trigonometrically fitted and have improved intervals of periodicity as compared to the corresponding classical method with constant coefficients and other methods from the literature. We also apply the methods along with other known methods to real periodic problems, in order to measure their efficiency.

• OSTI ID: 21428581
• Journal Information: AIP Conference Proceedings, Vol. 1281, Issue 1; Conference: ICNAAM 2010: International conference of numerical analysis and applied mathematics 2010, Rhodes (Greece), 19-25 Sep 2009; Other Information: DOI: 10.1063/1.3498259; (c) 2010 American Institute of Physics; ISSN 0094-243X
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
EFFICIENCY
FUNCTIONAL ANALYSIS
INTEGRAL EQUATIONS
NUMERICAL SOLUTION
PERIODICITY
SCHROEDINGER EQUATION
SYMMETRY
DIFFERENTIAL EQUATIONS
EQUATIONS
MATHEMATICAL SOLUTIONS
MATHEMATICS
PARTIAL DIFFERENTIAL EQUATIONS
VARIATIONS
WAVE EQUATIONS