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Design of optimal Runge-Kutta methods - FEniCS Project

Design of optimal Runge-Kutta methods - FEniCS Project

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Conclusions<br />

Numerical optimization allows for flexible, targeted design <strong>of</strong> time<br />

integrators<br />

Stability optimization based on spectra from a model (linear) problem<br />

on a uniform grid seems to work well even for nonlinear problems on<br />

fully unstructured grids<br />

Significant speedup can be achieved in practice (greater for higher<br />

order <strong>methods</strong>)<br />

D. Ketcheson (KAUST) 36 / 36

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