Waveform Relaxation for Solving Time-Periodic Problems

1993 ◽  
pp. 83-122 ◽  
Author(s):  
Stefan Vandewalle
Keyword(s):  
Waveform Relaxation ◽  
Periodic Problems ◽  
Time Periodic

Time-periodic solutions of symmetric hyperbolic systems

2020 ◽  
Vol 17 (04) ◽  
pp. 707-726
Author(s):  
Masashi Ohnawa ◽  
Masahiro Suzuki
Keyword(s):  
Periodic Solutions ◽  
Hyperbolic Equations ◽  
Hyperbolic Systems ◽  
Initial Boundary ◽  
Unique Existence ◽  
Periodic Problems ◽  
Time Periodic Solutions ◽  
External Forces ◽  
Initial Boundary Value ◽  
Time Periodic

We prove the unique existence of time-periodic solutions to general hyperbolic equations with periodic external forces autonomous or nonautonomous over a domain bounded by two parallel planes, provided that all the characteristics with respect to the direction normal to the planes have the same sign. It is also shown that global-in-time solutions to initial-boundary value problems coincide with the solutions to corresponding time-periodic problems after a finite time. We devote one section to the reformulation of several realistic problems and see our results have wide applicability.

scholarly journals Analysis of Two Parareal Algorithms for Time-Periodic Problems

2013 ◽  
Vol 35 (5) ◽  
pp. A2393-A2415 ◽  
Author(s):  
Martin J. Gander ◽  
Yao-Lin Jiang ◽  
Bo Song ◽  
Hui Zhang
Keyword(s):  
Periodic Problems ◽  
Time Periodic

Timing simulator by waveform relaxation considering the feedback effect

1989 ◽  
Vol 136 (1) ◽  
pp. 38 ◽  
Author(s):  
Y.-H. Jun ◽  
C.-W. Lee ◽  
K.-J. Lee ◽  
S.-B. Park
Keyword(s):  
Feedback Effect ◽  
Waveform Relaxation
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