Article
Reference
Analysis of the Parareal Algorithm Applied to Hyperbolic Problems Using Characteristics
GANDER, Martin Jakob
GANDER, Martin Jakob. Analysis of the Parareal Algorithm Applied to Hyperbolic Problems Using Characteristics. Boletín de la Sociedad Española de Matemática Aplicada , 2008, vol. 42, p. 21-35
Available at:
http://archive-ouverte.unige.ch/unige:6268
Disclaimer: layout of this document may differ from the published version.
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10 −4 10 −3 10 −2 10 −1 10 0
iteration
Error Error Bound
~ .O'0#Hq92 rj*0#.9% F&9+*j 0C5KX! &9I950D50#,5,.0# ! &' '', ! ! &9
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10 −4 10 −3 10 −2 10 −1 10 0
iteration
Error Error Bound
~ .O'0# 2 rj*0#.9% F&9+*j 0C5KX! &9I950D50#,5,.0# ! &' '', ! ! &9
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t x
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0
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−0.4
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t x
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0
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0 0.5 1 1.5
−1 2 0 1
t x
u
0
0.5 1 1.5 2
0 0.5 1 1.5 2
−0.2 0.2 0.4 0.6 0.8 0
t x
error
0
0.5 1 1.5
2
0 0.5 1 1.5 2
−1 0 1
t x
u
0
0.5 1 1.5
2
0 0.5 1 1.5 2
−0.5 0 0.5
t x
error
0 0.5 1
1.5 2
0 0.5 1 1.5
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t x
u
0 0.5 1
1.5 2
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t x
error
0 0.5 1
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t x
u
0 0.5 1
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0 0.5 1 1.5 2
−0.6
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t x
error
0 0.5 1
1.5 2
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−1 0 1
t x
u
0 0.5 1
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−0.1 0.1 0.2 0.3 0
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