Design of optimal Runge-Kutta methods - FEniCS Project
Design of optimal Runge-Kutta methods - FEniCS Project
Design of optimal Runge-Kutta methods - FEniCS Project
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Stability Optimization: a toy example<br />
8<br />
6<br />
4<br />
2<br />
0<br />
2<br />
4<br />
6<br />
8<br />
4 3 2 10 1<br />
(a) RK(4,4)<br />
8<br />
6<br />
4<br />
2<br />
0<br />
2<br />
4<br />
6<br />
8<br />
14 12 10 8 6 4 2 0<br />
(b) Optimized 10-stage method<br />
D. Ketcheson (KAUST) 15 / 36
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