ALTERNATING DIRECTION AND SEMI-EXPLICIT DIFFERENCE METHODS FOR PARABOLIC PARTIAL DIFFERENTIAL EQUATIONS
Technical Report
·
OSTI ID:4003353
The energy method is applied to study the stability of two types of difference approximations to parabolic partial differential equations, the alternating direction methods Douglas, Peaceman, and Rachford, and a new semi- explicit method. Each difference scheme is proved to be unconditionally stable. These results apply to parabolic equations with variable coefficients, defined in cylindrical domains with an essentially arbitrary bounded base. (auth)
- Research Organization:
- New York Univ., New York. Atomic Energy Commission Computing and Applied Mathematics Center
- NSA Number:
- NSA-15-019721
- OSTI ID:
- 4003353
- Report Number(s):
- NYO-9494
- Country of Publication:
- United States
- Language:
- English
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