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annotate vandermonde.m @ 1198:2924b3a9b921 feature/d2_compatible

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Add OpSet for fully compatible D2Variable, created from regular D2Variable by replacing d1 by first row of D1. Formal reduction by one order of accuracy at the boundary point.
author Martin Almquist <malmquist@stanford.edu>
date Fri, 16 Aug 2019 14:30:28 -0700
parents 0090a86d8b72
children
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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