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annotate +sbp/+implementations/d2_2.m @ 266:bfa130b7abf6 operator_remake

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Added error message for too few grid points to all implementation files.
author Martin Almquist <martin.almquist@it.uu.se>
date Fri, 09 Sep 2016 11:03:13 +0200
parents 6009f2712d13
children f7ac3cd6eeaa
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6009f2712d13 Moved and renamned all implementations.
Martin Almquist <martin.almquist@it.uu.se>
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1 function [H, HI, D1, D2, e_1, e_m, M, Q, S_1, S_m] = d2_2(m,h)
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2
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3 BP = 1;
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4 if(m<2*BP)
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5 error(['Operator requires at least ' num2str(2*BP) ' grid points']);
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6 end
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7
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8 e_1=zeros(m,1);e_1(1)=1;
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9 e_m=zeros(m,1);e_m(m)=1;
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10
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11 H=(eye(m,m));H(1,1)=0.5;H(m,m)=0.5;
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12 H=h*H;
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13 HI=inv(H);
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14
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15 D1=((.5*diag(ones(m-1,1),1)-.5*diag(ones(m-1,1),-1)));
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16 D1(1,1)=-1;D1(1,2)=1;D1(m,m-1)=-1;D1(m,m)=1;
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17 D1(m,m-1)=-1;D1(m,m)=1;
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18 D1=D1/h;
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19
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20 Q=H*D1 + 1/2*e_1*e_1' - 1/2*e_m*e_m';
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21
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22 D2=((diag(ones(m-1,1),1)+diag(ones(m-1,1),-1)-2*diag(ones(m,1),0)));
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23 D2(1,1)=1;D2(1,2)=-2;D2(1,3)=1;
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24 D2(m,m-2)=1;D2(m,m-1)=-2;D2(m,m)=1;
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25 D2=D2/h^2;
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26
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27 S_U=[-3/2, 2, -1/2]/h;
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28 S_1=zeros(1,m);
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29 S_1(1:3)=S_U;
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30 S_m=zeros(1,m);
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31 S_m(m-2:m)=fliplr(-S_U);
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33
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34 M=-H*D2-e_1*S_1+e_m*S_m;
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35 S_1 = S_1';
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36 S_m = S_m';
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37 end