Exploiting structure in the construction of DIMSIMs
نویسندگان
چکیده
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. c © 1999 Elsevier Science B.V. All rights reserved.
منابع مشابه
Construction of IMEX DIMSIMs of high order and stage order
For many systems of differential equations modeling problems in science and engineering, there are often natural splittings of the right hand side into two parts, one of which is non-stiff or mildly stiff, and the other part is stiff. Such systems can be efficiently treated by a class of implicit-explicit (IMEX) diagonally implicit multistage integration methods (DIMSIMs), where the stiff part ...
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