Jump to content

File:Stability region for Euler method.svg

Page contents not supported in other languages.
This is a file from the Wikimedia Commons
From Wikipedia, the free encyclopedia

Original file (SVG file, nominally 720 × 540 pixels, file size: 23 KB)

Summary

Description
English: Stability region for Euler method
Date
Source Own work
Author Helmut Podhaisky
Other versions Euler method -- Trapzoidal method -- Adams Bashforth
SVG development
InfoField
 
The SVG code is valid.
 
This plot was created with Matplotlib.
Source code
InfoField

Python code

from pylab import linspace,pi,exp,real,imag,axis

import matplotlib.path as mpath
import matplotlib.patches as mpatches
import matplotlib.pyplot as plt

w=exp(1j*linspace(0,2*pi,200))

Path=mpath.Path
fig = plt.figure()

for name,z in zip(['Euler','trapezoidal',  'AB2'],\
                  [ w-1,       [5j,-5+5j,-5-5j,-5j,5j],2*(w**2-w)/(3*w-1)]):
    fig.clf()
    ax=fig.add_subplot(111)

    verts=map(lambda z:(real(z),imag(z)), z)
    codes=[Path.MOVETO]+[Path.LINETO]*(len(verts)-2)+[Path.CLOSEPOLY]

    path=mpath.Path(verts,codes)
    patch=mpatches.PathPatch(path,facecolor=[1, 0.5, 0.8],edgecolor='black',alpha=1)
    ax.add_patch(patch)
    ax.plot([-3,2],[0,0],'--',color='black')
    ax.plot([0,0],[-2,2],'--',color='black')
    ax.set_xlim(-3,2)
    ax.set_ylim(-2,2)

    fig.savefig("Stability region for "+name+" method.svg")

Licensing

Public domain 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.

Captions

Add a one-line explanation of what this file represents

Items portrayed in this file

depicts

inception

26 August 2010

File history

Click on a date/time to view the file as it appeared at that time.

Date/TimeThumbnailDimensionsUserComment
current09:46, 26 August 2010Thumbnail for version as of 09:46, 26 August 2010720 × 540 (23 KB)Helmut.podhaiskyno
09:24, 26 August 2010Thumbnail for version as of 09:24, 26 August 2010720 × 540 (23 KB)Helmut.podhaisky{{Information |Description={{en|1=Stability region for Euler method}} |Source=python script |Author=Helmut Podhaisky |Date=2010-08-26 |Permission= |other_versions= }}

The following 2 pages use this file:

Global file usage

The following other wikis use this file:

Retrieved from "https://en.wikipedia.org/wiki/File:Stability_region_for_Euler_method.svg"