Changes between Version 1 and Version 2 of doc/tec/rk3
- Timestamp:
- Jan 7, 2011 4:59:43 PM (14 years ago)
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doc/tec/rk3
v1 v2 20 20 || ... || ... || || || || || 21 21 || α,,N,, || β,,N,1,, || β,,N,2,, || ... || β,,N,N-1,, || 0 || 22 || || β,,N+1,1,, || β,,N+1,2,, || ... || β,,N+1,N-1,, || β,,N+1,N,, || 22 || || β,,N+1,1,, || β,,N+1,2,, || ... || β,,N+1,N-1,, || β,,N+1,N,, || 23 23 24 24 The appendant coefficients for the used Runge-Kutta scheme reads: … … 27 27 || 1/2 || -3/16 || 15/16 || 0 || 28 28 || || 1/6 || 3/10 || 8/15 || 29 … 30 For the implementation it is advantageous to compute PSI_N from the intermediate solutions PSI_1 and PSI_2 as follows: 31 … 32 Due to the fact that the current tendency F(psi) is only required locally in time, the arrays F(Psi_n) and F(Psi_1) can combined after the 2 nd substep and buffered in F(psi_1): 29 30 For the implementation it is advantageous to compute ψ^N^ from the intermediate solutions ψ^1^ and ψ^2^ as follows: 31 32 33 Sorry for incompleteness. A further description will follow in the next days.