## Abstract This article is devoted to an analysis of simple families of finite difference schemes for the wave equation. These families are dependent on several free parameters, and methods for obtaining stability bounds as a function of these parameters are discussed in detail. Access to explicit
Padé and upwinding finite difference schemes for the quantum mechanical equation of motion
✍ Scribed by Kwok, Yue-Kuen ;Barthez, Daniel
- Publisher
- Wiley (John Wiley & Sons)
- Year
- 1991
- Tongue
- English
- Weight
- 331 KB
- Volume
- 7
- Category
- Article
- ISSN
- 0748-8025
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📜 SIMILAR VOLUMES
## Abstract A probabilistic approach has been used to analyse the stability of the various finite difference formulations for propagation of signals on a lossy transmission line. If the sign of certain transition probabilities is negative, then the algorithm is found to be unstable. We extend the c
A positivity condition is used to obtain functional relations between the time and space step-sizes for nonstandard finite-difference models of the Fisher partial differential equation. An upper bound is also derived for the solutions to the difference equations.