Image:Stability region for Euler method.png

[edit] Summary

[edit] Licensing

I, the copyright holder of this work, hereby release it into the public domain. This applies worldwide. In case this is not legally possible: I grant anyone the right to use this work for any purpose, without any conditions, unless such conditions are required by law. Afrikaans | Alemannisch | Aragonés | العربية | Asturianu | Български | Català | Česky | Cymraeg | Dansk | Deutsch | Eʋegbe | Ελληνικά | English | Español | Esperanto | Euskara | Estremeñu | فارسی | Français | Galego | 한국어 | हिन्दी | Hrvatski | Ido | Bahasa Indonesia | Íslenska | Italiano | עברית | Kurdî / كوردی | Latina | Lietuvių | Latviešu | Magyar | Македонски | Bahasa Melayu | Nederlands | ‪Norsk (bokmål)‬ | ‪Norsk (nynorsk)‬ | 日本語 | Polski | Português | Ripoarisch | Română | Русский | Shqip | Slovenčina | Slovenščina | Српски / Srpski | Svenska | ไทย | Tagalog | Türkçe | Українська | Tiếng Việt | Walon | ‪中文(简体)‬ | ‪中文(繁體)‬ | zh-yue-hant | +/-

[edit] Matlab code

clf;
[X,Y] = meshgrid(linspace(-3,2), linspace(-2,2));
Z = X+Y*1i;
phi = 1+Z;
contourf(X,Y,1-abs(phi), [0 0], 'LineWidth', 1);
set(gca, 'FontSize', 20, 'CLim', [0 1]);
colormap([1 .5 .8; 0 0 0]);
hold on;
plot([-3 2], [0 0], '--k', 'LineWidth', 1);
plot([0 0], [-2 2], '--k', 'LineWidth', 1);
print -dpng 'euler_lsd_tmp.png';
system('convert -trim -bordercolor white -border 10 +repage euler_lsd_tmp.png euler_lsd.png');

• Stiff equation