File:Laplaces method.png
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Summary edit
| Description |
English: Illustration of the method of steepest descent |
| Date | (UTC) |
| Source | self-made with Matlab |
| Author | Oleg Alexandrov |
| Permission (Reusing this file) |
Public domain |
This diagram was created with MATLAB.
Source code edit
% Illustration of Laplace's method
N = 500;
L = 15;
fs = 12;
lw = 2;
lw2 = 1;
X = linspace(-L, L, N)+eps;
f = sin(X)./X;
g = (1-X.^2/6);
figure(1); clf; hold on;
q = 1.01;
subplot(2, 3, 1);
set(gca, 'fontsize', fs);
set(gca, 'LineWidth', lw2);
hold on;
M = 0.5;
Y = exp(M*f);
Z = exp(M*g);
plot(X, Z, 'r', 'linewidth', lw);
plot(X, Y, 'b', 'linewidth', lw);
R = max(Z);
axis([-L, L, 0, q*R]);
subplot(2, 3, 4);
set(gca, 'fontsize', fs);
set(gca, 'LineWidth', lw2);
hold on;
M = 3;
Y = exp(M*f);
Z = exp(M*g);
plot(X, Z, 'r', 'linewidth', lw);
plot(X, Y, 'b', 'linewidth', lw);
R = max(Z);
axis([-L, L, 0, q*R]);
saveas(gcf, 'Laplaces_method.eps', 'psc2');
% Converted from eps to png with the formula
% convert -antialias -density 200 Laplaces_method.eps Laplaces_method.png
Licensing edit
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I, the copyright holder of this work, release this work into the public domain. This applies worldwide. In some countries this may not be legally possible; if so: I grant anyone the right to use this work for any purpose, without any conditions, unless such conditions are required by law. |
File history
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| Date/Time | Thumbnail | Dimensions | User | Comment | |
|---|---|---|---|---|---|
| current | 21:15, 23 May 2009 | | 406 × 1,036 (23 KB) | Oleg Alexandrov (talk | contribs) | a little bigger font |
| 21:14, 23 May 2009 |  | 397 × 1,028 (22 KB) | Oleg Alexandrov (talk | contribs) | smaller font | |
| 21:00, 23 May 2009 |  | 417 × 1,044 (24 KB) | Oleg Alexandrov (talk | contribs) | {{Information |Description={{en|1=Illustration of method of steepest descent}} |Source=self-made with Matlab |Author=Oleg Alexandrov |Date=~~~~~ |Permission= |other_versions= }} <!--{{ImageUploa |
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