Accession Number : ADA140779

Title :   Stable Explicit Schemes for Equations of the Schroedinger Type.

Descriptive Note : Research rept.,

Corporate Author : YALE UNIV NEW HAVEN CT DEPT OF COMPUTER SCIENCE

Personal Author(s) : Chan,T F ; Lee,D ; Shen,L

PDF Url : ADA140779

Report Date : Mar 1984

Pagination or Media Count : 10

Abstract : Most conventional explicit finite difference schemes, e.g., Euler's scheme, for solving the parabolic equation of Schrodinger type u sub t = iu sub zz are unconditionally unstable. This difficulty can be overcome by introducing a dissipative term to the conventional explicit schemes. Based on this approach, the authors derive a class of new explicit finite difference schemes which are conditionally stable, spans two time levels and are O(k,h2) accurate. They also determine the schemes from this class that have the least restrictive stability requirements. It is interesting to note that the analog of the Lax-Wendroff scheme is unstable. (Author)

Descriptors :   *Schrodinger equation, Finite difference theory, Problem solving, Stability, Requirements, Euler angles, Polynomials, Dissipation

Subject Categories : Numerical Mathematics

Distribution Statement : APPROVED FOR PUBLIC RELEASE