✦ LIBER ✦

Exploiting structure in the construction of DIMSIMs

✍ Scribed by Z. Jackiewicz; H.D. Mittelmann

Publisher: Elsevier Science
Year: 1999
Tongue: English
Weight: 72 KB
Volume: 107
Category: Article
ISSN: 0377-0427
DOI: 10.1016/s0377-0427(99)00091-6

No coin nor oath required. For personal study only.

✦ Synopsis

We describe the structure of the nonlinear system for the coe cients of diagonally implicit multistage integration methods for ordinary di erential equations. This structure is then utilized in the search for methods of high order and stage order with a given stability function. New methods were obtained by solving the nonlinear systems by state-of-the-art software based on least squares minimization.

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