Difference Schemes for Equations of Schrodinger Type.
Abstract
We introduce and analyze a collection of difference schemes for the numerical solution of an equation of the Schrodinger type. This includes explicit and implicit schemes, 2-level and 3-level schemes and real and complex schemes. Many of these are analogous to classical schemes for the heat equation and the wave equation but some schemes are unique to the Schrodinger equation. Von Neumann type stability results are given for all the schemes and extensions to higher dimensions are derived in most cases. Many of stability results are quite different from the corresponding results for the heat equation and the wave equation.
Document Details
- Document Type
- Technical Report
- Publication Date
- Jun 01, 1984
- Accession Number
- ADA145812
Entities
People
- L. J. Shen
- T. F. Chan
Organizations
- Yale University