Two-step Runge-Kutta methods and hyperbolic partial differential equations

Author:
R. A. Renaut

Journal:
Math. Comp. **55** (1990), 563-579

MSC:
Primary 65M06; Secondary 65M12

MathSciNet review:
1035943

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Abstract | References | Similar Articles | Additional Information

Abstract: The purpose of this study is the design of efficient methods for the solution of an ordinary differential system of equations arising from the semidiscretization of a hyperbolic partial differential equation. Jameson recently introduced the use of one-step Runge-Kutta methods for the numerical solution of the Euler equations. Improvements in efficiency up to 80

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Additional Information

DOI:
https://doi.org/10.1090/S0025-5718-1990-1035943-3

Keywords:
Pseudo-Runge-Kutta methods,
stability,
hyperbolic partial differential equations,
method of lines

Article copyright:
© Copyright 1990
American Mathematical Society