Exploiting structure in the construction of DIMSIMs |
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Institution: | Department of Mathematics, Arizona State University, Tempe, AZ 85287, USA |
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Abstract: | We describe the structure of the nonlinear system for the coefficients of diagonally implicit multistage integration methods for ordinary differential 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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