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annotate +sbp/ordinary2.m @ 105:1df4f3704b76 feature/arclen-param

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Added error checking for all methods that use the derivative gp. Removed that from the to do list. Updated some comments.
author Martin Almquist <martin.almquist@it.uu.se>
date Mon, 07 Dec 2015 18:51:41 +0100
parents 32b39dc44474
children
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29
32b39dc44474 Removed repository inside +sbp to make it part of the root repo.
Jonatan Werpers <jonatan@werpers.com>
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1 function [H, HI, D1, D2, e_1, e_m, M,Q S_1, S_m] = ordinary2(m,h)
32b39dc44474 Removed repository inside +sbp to make it part of the root repo.
Jonatan Werpers <jonatan@werpers.com>
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2 e_1=zeros(m,1);e_1(1)=1;
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parents:
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3 e_m=zeros(m,1);e_m(m)=1;
32b39dc44474 Removed repository inside +sbp to make it part of the root repo.
Jonatan Werpers <jonatan@werpers.com>
parents:
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4
32b39dc44474 Removed repository inside +sbp to make it part of the root repo.
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5 H=(eye(m,m));H(1,1)=0.5;H(m,m)=0.5;
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6 H=h*H;
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7 HI=inv(H);
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8
32b39dc44474 Removed repository inside +sbp to make it part of the root repo.
Jonatan Werpers <jonatan@werpers.com>
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9 D1=((.5*diag(ones(m-1,1),1)-.5*diag(ones(m-1,1),-1)));
32b39dc44474 Removed repository inside +sbp to make it part of the root repo.
Jonatan Werpers <jonatan@werpers.com>
parents:
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10 D1(1,1)=-1;D1(1,2)=1;D1(m,m-1)=-1;D1(m,m)=1;
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Jonatan Werpers <jonatan@werpers.com>
parents:
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11 D1(m,m-1)=-1;D1(m,m)=1;
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12 D1=D1/h;
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13
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14 Q=H*D1 + 1/2*e_1*e_1' - 1/2*e_m*e_m';
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Jonatan Werpers <jonatan@werpers.com>
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15
32b39dc44474 Removed repository inside +sbp to make it part of the root repo.
Jonatan Werpers <jonatan@werpers.com>
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16 D2=((diag(ones(m-1,1),1)+diag(ones(m-1,1),-1)-2*diag(ones(m,1),0)));
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17 D2(1,1)=1;D2(1,2)=-2;D2(1,3)=1;
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18 D2(m,m-2)=1;D2(m,m-1)=-2;D2(m,m)=1;
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19 D2=D2/h^2;
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20
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21 S_U=[-3/2, 2, -1/2]/h;
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22 S_1=zeros(1,m);
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23 S_1(1:3)=S_U;
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24 S_m=zeros(1,m);
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25 S_m(m-2:m)=fliplr(-S_U);
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26
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28 M=-H*D2-e_1*S_1+e_m*S_m;
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29 S_1 = S_1';
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30 S_m = S_m';
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