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annotate +time/+rkparameters/rk4.m @ 1344:b4e5e45bd239 feature/D2_boundary_opt

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Remove round off zeros from D2Nonequidistant operators
author Vidar Stiernström <vidar.stiernstrom@it.uu.se>
date Sat, 15 Oct 2022 15:48:20 +0200
parents ee4cfb37534d
children
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856
ee4cfb37534d Merge with feature/d1_staggered to get RK timestepper for discrete data.
Martin Almquist <malmquist@stanford.edu>
parents:
diff changeset
1 function [a,b,c,s] = rk4()
ee4cfb37534d Merge with feature/d1_staggered to get RK timestepper for discrete data.
Martin Almquist <malmquist@stanford.edu>
parents:
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2
ee4cfb37534d Merge with feature/d1_staggered to get RK timestepper for discrete data.
Martin Almquist <malmquist@stanford.edu>
parents:
diff changeset
3 % Butcher tableau for classical RK$
ee4cfb37534d Merge with feature/d1_staggered to get RK timestepper for discrete data.
Martin Almquist <malmquist@stanford.edu>
parents:
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4 s = 4;
ee4cfb37534d Merge with feature/d1_staggered to get RK timestepper for discrete data.
Martin Almquist <malmquist@stanford.edu>
parents:
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5 a = sparse(s,s);
ee4cfb37534d Merge with feature/d1_staggered to get RK timestepper for discrete data.
Martin Almquist <malmquist@stanford.edu>
parents:
diff changeset
6 a(2,1) = 1/2;
ee4cfb37534d Merge with feature/d1_staggered to get RK timestepper for discrete data.
Martin Almquist <malmquist@stanford.edu>
parents:
diff changeset
7 a(3,2) = 1/2;
ee4cfb37534d Merge with feature/d1_staggered to get RK timestepper for discrete data.
Martin Almquist <malmquist@stanford.edu>
parents:
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8 a(4,3) = 1;
ee4cfb37534d Merge with feature/d1_staggered to get RK timestepper for discrete data.
Martin Almquist <malmquist@stanford.edu>
parents:
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9 b = 1/6*[1; 2; 2; 1];
ee4cfb37534d Merge with feature/d1_staggered to get RK timestepper for discrete data.
Martin Almquist <malmquist@stanford.edu>
parents:
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10 c = [0; 1/2; 1/2; 1];
ee4cfb37534d Merge with feature/d1_staggered to get RK timestepper for discrete data.
Martin Almquist <malmquist@stanford.edu>
parents:
diff changeset
11
ee4cfb37534d Merge with feature/d1_staggered to get RK timestepper for discrete data.
Martin Almquist <malmquist@stanford.edu>
parents:
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