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Design of optimal Runge-Kutta methods - FEniCS Project

Design of optimal Runge-Kutta methods - FEniCS Project

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Solution <strong>of</strong> hyperbolic PDEs<br />

The fundamental algorithmic barrier is the CFL condition:<br />

∆t ≤ a∆x<br />

Implicit <strong>methods</strong> don’t usually help (due to reduced accuracy)<br />

Strong scaling limits the effectiveness <strong>of</strong> spatial parallelism alone<br />

D. Ketcheson (KAUST) 5 / 36

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