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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Low storage <strong>methods</strong><br />
3S Algorithm<br />
S3 := u n<br />
(y1) S1 := u n<br />
for i = 2 : m + 1 do<br />
S2 := S2 + δi−1S1<br />
(yi) S1 := γi1S1 + γi2S2 + γi3S3 + βi,i−1∆tF(S1)<br />
end<br />
(û n+1 ) S2 :=<br />
u n+1 = S1<br />
1<br />
�m+2 j=1 δj<br />
(S2 + δm+1S1 + δm+2S3)<br />
D. Ketcheson (KAUST) 28 / 36