Mercurial > repos > public > sbplib
changeset 645:a5307adc6177 feature/d1_staggered
Add diracDiscr.m. Noticed bug if source is on grid point.
author | Martin Almquist <malmquist@stanford.edu> |
---|---|
date | Tue, 14 Nov 2017 14:28:35 -0800 |
parents | dc2918fb104d |
children | 0990765e3e4d |
files | diracDiscr.m |
diffstat | 1 files changed, 64 insertions(+), 0 deletions(-) [+] |
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--- /dev/null Thu Jan 01 00:00:00 1970 +0000 +++ b/diracDiscr.m Tue Nov 14 14:28:35 2017 -0800 @@ -0,0 +1,64 @@ +function ret = diracDiscr(x_0in , x , m_order, s_order, H) + +fnorm = diag(H); +eta = abs(x-x_0in); +h = x(2)-x(1); +tot = m_order+s_order; +S = []; +M = []; +poss = find(tot*h/2>eta); + +% Use first tot grid points +if length(poss)<tot && eta(end)>eta(1) + index=1:tot; + pol=(x(1:tot)-x(1))/(x(tot)-x(1)); + x_0=(x_0in-x(1))/(x(tot)-x(1)); + norm=fnorm(1:tot)/h; + +% Use last tot grid points +elseif length(poss)<tot && eta(end)<eta(1) + index = length(x)-tot:tot; + pol = (x(end-tot:end)-x(end-tot))/(x(end)-x(end-tot)); + norm = fnorm(end-tot:end)/h; + x_0 = (x_0in-x(end-tot))/(x(end)-x(end-tot)); + +% Interior +else + pol = (x(poss)-x(poss(1)))/(x(poss(end))-x(poss(1))); + x_0 = (x_0in-x(poss(1)))/(x(poss(end))-x(poss(1))); + norm = fnorm(poss)/h; + index = poss; +end + +h_pol = pol(2)-pol(1); +b = zeros(m_order+s_order,1); + +for i = 1:m_order + b(i,1) = x_0^(i-1); +end + +for i = 1:(m_order+s_order) + for j = 1:m_order + M(j,i) = pol(i)^(j-1)*h_pol*norm(i); + end +end + +for i = 1:(m_order+s_order) + for j = 1:s_order + S(j,i) = (-1)^(i-1)*pol(i)^(j-1); + end +end + + +A = [M;S]; + +d = A\b; +ret = x*0; +ret(index) = d/h*h_pol; +end + + + + + +