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Hyperbolic Difference Equations: A Review of the Courant-Friedrichs-Lewy Paper in the Light of Recent Developments
- Source :
- IBM Journal of Research and Development. 11:235-238
- Publication Year :
- 1967
- Publisher :
- IBM, 1967.
-
Abstract
- The portion of the Courant-Friedrichs-Lwy paper [Math. Ann. 100, 32 (1928)] that was devoted to hyperbolic difference equations is critically reviewed in terms of its basic contribution to the numerical solution of partial differential equations. Some subsequent developments are then discussed, including recent literature related to the von Neumann condition, some irreversible schemes, generalizations of the energy method, some new difference schemes, and mixed initial boundary value problems.
- Subjects :
- General Computer Science
Elliptic partial differential equation
Mathematical analysis
Finite difference method
Von Neumann stability analysis
Upwind scheme
Boundary value problem
Exponential integrator
Hyperbolic partial differential equation
Mathematics
Numerical partial differential equations
Subjects
Details
- ISSN :
- 00188646
- Volume :
- 11
- Database :
- OpenAIRE
- Journal :
- IBM Journal of Research and Development
- Accession number :
- edsair.doi...........64765e96965eda34f865c9803b38cca9