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annotate vandermonde.m @ 1031:2ef20d00b386 feature/advectionRV

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For easier comparison, return both the first order and residual viscosity when evaluating the residual. Add the first order and residual viscosity to the state of the RungekuttaRV time steppers
author Vidar Stiernström <vidar.stiernstrom@it.uu.se>
date Thu, 17 Jan 2019 10:25:06 +0100
parents 0090a86d8b72
children
Ignore whitespace changes - Everywhere: Within whitespace: At end of lines:
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184833fe4c0e Add monomial, vandermonde and stencil cretation tools
Jonatan Werpers <jonatan@werpers.com>
parents:
diff changeset
1 % Create vandermonde matrix for points x and polynomials of order p
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0090a86d8b72 Improve mononomial and vandermonde functions to work in multiple dimension and adapt to sym or double inputs
Jonatan Werpers <jonatan@werpers.com>
parents: 660
diff changeset
2 % x is a list of N points of size [N,dim],
0090a86d8b72 Improve mononomial and vandermonde functions to work in multiple dimension and adapt to sym or double inputs
Jonatan Werpers <jonatan@werpers.com>
parents: 660
diff changeset
3 % p is a list of polynomial orders of size [M, dim].
0090a86d8b72 Improve mononomial and vandermonde functions to work in multiple dimension and adapt to sym or double inputs
Jonatan Werpers <jonatan@werpers.com>
parents: 660
diff changeset
4 % the given mononomials are evaluated and the NxM matrix V is returned.
660
184833fe4c0e Add monomial, vandermonde and stencil cretation tools
Jonatan Werpers <jonatan@werpers.com>
parents:
diff changeset
5 function V = vandermonde(x, p)
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0090a86d8b72 Improve mononomial and vandermonde functions to work in multiple dimension and adapt to sym or double inputs
Jonatan Werpers <jonatan@werpers.com>
parents: 660
diff changeset
6 assert(size(x,2) == size(p,2), 'x and p must have the same number of columns')
0090a86d8b72 Improve mononomial and vandermonde functions to work in multiple dimension and adapt to sym or double inputs
Jonatan Werpers <jonatan@werpers.com>
parents: 660
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7 n = size(x,1);
0090a86d8b72 Improve mononomial and vandermonde functions to work in multiple dimension and adapt to sym or double inputs
Jonatan Werpers <jonatan@werpers.com>
parents: 660
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8 m = size(p,1);
660
184833fe4c0e Add monomial, vandermonde and stencil cretation tools
Jonatan Werpers <jonatan@werpers.com>
parents:
diff changeset
9
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0090a86d8b72 Improve mononomial and vandermonde functions to work in multiple dimension and adapt to sym or double inputs
Jonatan Werpers <jonatan@werpers.com>
parents: 660
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10 for i = 1:m
0090a86d8b72 Improve mononomial and vandermonde functions to work in multiple dimension and adapt to sym or double inputs
Jonatan Werpers <jonatan@werpers.com>
parents: 660
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11 V(:,i) = mononomial(x, p(i,:));
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184833fe4c0e Add monomial, vandermonde and stencil cretation tools
Jonatan Werpers <jonatan@werpers.com>
parents:
diff changeset
12 end
770
0090a86d8b72 Improve mononomial and vandermonde functions to work in multiple dimension and adapt to sym or double inputs
Jonatan Werpers <jonatan@werpers.com>
parents: 660
diff changeset
13
0090a86d8b72 Improve mononomial and vandermonde functions to work in multiple dimension and adapt to sym or double inputs
Jonatan Werpers <jonatan@werpers.com>
parents: 660
diff changeset
14 assertSize(V,[n,m]);
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184833fe4c0e Add monomial, vandermonde and stencil cretation tools
Jonatan Werpers <jonatan@werpers.com>
parents:
diff changeset
15 end