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Implementation of Diagonally Implicit Multistage Integration Methods for Ordinary Differential Equations

โœ Scribed by Butcher, J. C.; Jackiewicz, Z.

Book ID
118187570
Publisher
Society for Industrial and Applied Mathematics
Year
1997
Tongue
English
Weight
733 KB
Volume
34
Category
Article
ISSN
0036-1429

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๐Ÿ“œ SIMILAR VOLUMES

Construction of high order diagonally im
Construction of high order diagonally implicit multistage integration methods for ordinary differential equations
โœ J.C Butcher; Z Jackiewicz ๐Ÿ“‚ Article ๐Ÿ“… 1998 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 543 KB

The identification of high order diagonally implicit multistage integration methods with appropriate stability properties requires the solution of high dimensional nonlinear equation systems. The approach to the solution of these equations, and hence the construction of suitable methods, that we wil

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Diagonally implicit multistage integration methods for pseudospectral solutions of the wave equation
โœ Z. Jackiewicz; R.A. Renaut ๐Ÿ“‚ Article ๐Ÿ“… 2000 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 222 KB

Diagonally implicit multistage integration methods are employed for the numerical integration in time of first order hyperbolic systems arising from Chebyshev pseudospectral discretizations of the spatial derivatives in the wave equation. These methods have stage order q equal to the order p. The st