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annotate vandermonde.m @ 774:66eb4a2bbb72 feature/grids

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Remove default scaling of the system. The scaling doens't seem to help actual solutions. One example that fails in the flexural code. With large timesteps the solutions seems to blow up. One particular example is profilePresentation on the tdb_presentation_figures branch with k = 0.0005
author Jonatan Werpers <jonatan@werpers.com>
date Wed, 18 Jul 2018 15:42:52 -0700
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:
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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
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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
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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
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4 % the given mononomials are evaluated and the NxM matrix V is returned.
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184833fe4c0e Add monomial, vandermonde and stencil cretation tools
Jonatan Werpers <jonatan@werpers.com>
parents:
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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
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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);
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184833fe4c0e Add monomial, vandermonde and stencil cretation tools
Jonatan Werpers <jonatan@werpers.com>
parents:
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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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Jonatan Werpers <jonatan@werpers.com>
parents:
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12 end
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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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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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14 assertSize(V,[n,m]);
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184833fe4c0e Add monomial, vandermonde and stencil cretation tools
Jonatan Werpers <jonatan@werpers.com>
parents:
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15 end