Mercurial > repos > public > sbplib
view +sbp/+implementations/d2_2.m @ 261:6009f2712d13 operator_remake
Moved and renamned all implementations.
author | Martin Almquist <martin.almquist@it.uu.se> |
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date | Thu, 08 Sep 2016 15:35:45 +0200 |
parents | |
children | bfa130b7abf6 |
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function [H, HI, D1, D2, e_1, e_m, M, Q, S_1, S_m] = d2_2(m,h) e_1=zeros(m,1);e_1(1)=1; e_m=zeros(m,1);e_m(m)=1; H=(eye(m,m));H(1,1)=0.5;H(m,m)=0.5; H=h*H; HI=inv(H); D1=((.5*diag(ones(m-1,1),1)-.5*diag(ones(m-1,1),-1))); D1(1,1)=-1;D1(1,2)=1;D1(m,m-1)=-1;D1(m,m)=1; D1(m,m-1)=-1;D1(m,m)=1; D1=D1/h; Q=H*D1 + 1/2*e_1*e_1' - 1/2*e_m*e_m'; D2=((diag(ones(m-1,1),1)+diag(ones(m-1,1),-1)-2*diag(ones(m,1),0))); D2(1,1)=1;D2(1,2)=-2;D2(1,3)=1; D2(m,m-2)=1;D2(m,m-1)=-2;D2(m,m)=1; D2=D2/h^2; S_U=[-3/2, 2, -1/2]/h; S_1=zeros(1,m); S_1(1:3)=S_U; S_m=zeros(1,m); S_m(m-2:m)=fliplr(-S_U); M=-H*D2-e_1*S_1+e_m*S_m; S_1 = S_1'; S_m = S_m'; end