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Summary

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

frompylabimport linspace,pi,exp,real,imag,axis
importmatplotlib.pathasmpath
importmatplotlib.patchesasmpatches
importmatplotlib.pyplotasplt
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 domainPublic domainfalsefalse
[画像: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.

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26 August 2010

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Date/TimeThumbnailDimensionsUserComment
current09:46, 26 August 2010 Thumbnail for version as of 09:46, 26 August 2010 720 ×ばつ 540 (23 KB)Helmut.podhaisky no
09:24, 26 August 2010 Thumbnail for version as of 09:24, 26 August 2010 720 ×ばつ 540 (23 KB)Helmut.podhaisky {{Information |Description={{en|1=Stability region for Euler method}} |Source=python script |Author=Helmut Podhaisky |Date=2010年08月26日 |Permission= |other_versions= }}

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