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annotate plotConvergenceFit.m @ 1037:2d7ba44340d0 feature/burgers1d

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Pass scheme specific parameters as cell array. This will enabale constructDiffOps to be more general. In addition, allow for schemes returning function handles as diffOps, which is currently how non-linear schemes such as Burgers1d are implemented.
author Vidar Stiernström <vidar.stiernstrom@it.uu.se>
date Fri, 18 Jan 2019 09:02:02 +0100
parents 0ef8965dd745
children
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0ef8965dd745 Improve inteface and functionality of plotConvergence()
Jonatan Werpers <jonatan@werpers.com>
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1 % Draws a line in a loglog plot with slope `slope` fitted to the data in `x`
0ef8965dd745 Improve inteface and functionality of plotConvergence()
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2 % and `y`. `xlength` scales how much of the interval [x(1) x(end)] is coverd
0ef8965dd745 Improve inteface and functionality of plotConvergence()
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3 % by the line. `offset` is a multiplicative offset to where the line is drawn
0ef8965dd745 Improve inteface and functionality of plotConvergence()
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4 % relative to the data.
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5 function hand = plotConvergenceFit(slope, x, y, xlength, offset)
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6 default_arg('xlength', 0.8)
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7 default_arg('offset', 1);
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8
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9 % Optimise for log(y) = p*log(x) + q
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11 p = slope;
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13 logx = log(x);
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14 logy = log(y);
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15
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16 N = length(logx);
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17
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18 q = 1/N*sum(logy-p*logx);
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20 logxlength = xlength * abs(logx(end)-logx(1));
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21 logxends = (logx(1)+logx(end))/2 + [-logxlength/2, logxlength/2];
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23 xends = exp(logxends);
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24 yends = exp(q)*xends.^p;
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25
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26 hand = line(xends, yends);
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27 hand.Color = Color.black;
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28 hand.LineStyle = '--';
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29 hand.LineWidth = 2;
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30 end
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0ef8965dd745 Improve inteface and functionality of plotConvergence()
Jonatan Werpers <jonatan@werpers.com>
parents: 38
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0ef8965dd745 Improve inteface and functionality of plotConvergence()
Jonatan Werpers <jonatan@werpers.com>
parents: 38
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0ef8965dd745 Improve inteface and functionality of plotConvergence()
Jonatan Werpers <jonatan@werpers.com>
parents: 38
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34 % function hand = plotConvergenceFit(slope, pos, width)
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Jonatan Werpers <jonatan@werpers.com>
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35 % x0 = pos(1);
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36 % y0 = pos(2);
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38 % x = [x0*10^-(width/2) x0*10^(width/2)];
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39 % y = x.^slope * x0^-slope * y0;
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40
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41 % hand = line(x,y);
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parents: 38
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42 % hand.Color = Color.black;
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Jonatan Werpers <jonatan@werpers.com>
parents: 38
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43 % hand.LineStyle = '--';
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Jonatan Werpers <jonatan@werpers.com>
parents: 38
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44 % hand.LineWidth = 2;
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Jonatan Werpers <jonatan@werpers.com>
parents: 38
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45 % end