Changes between Version 1 and Version 2 of doc/tec/rk3


Ignore:
Timestamp:
Jan 7, 2011 4:59:43 PM (14 years ago)
Author:
suehring
Comment:

--

Legend:

Unmodified
Added
Removed
Modified
  • doc/tec/rk3

    v1 v2  
    2020|| ...    ||  ... || ||  ||  || ||
    2121|| 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,, || 
    2323
    2424The appendant coefficients for the used Runge-Kutta scheme reads:
     
    2727|| 1/2  ||  -3/16 || 15/16 ||  0  ||
    2828||      ||  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
     30For the implementation it is advantageous to compute ψ^N^ from the intermediate solutions ψ^1^ and ψ^2^ as follows:
     31
     32
     33Sorry for incompleteness. A further description will follow in the next days.