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Design of optimal Runge-Kutta methods - FEniCS Project

Design of optimal Runge-Kutta methods - FEniCS Project

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Two-step optimization process<br />

Our optimization approach proceeds in two steps:<br />

1 Optimize the linear stability or accuracy <strong>of</strong> the scheme by choosing<br />

the stability polynomial coefficients αj<br />

2 Optimize the nonlinear stability/accuracy and storage requirements by<br />

choosing the Butcher coefficients aij, bj.<br />

D. Ketcheson (KAUST) 30 / 36

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