Name
Abstract | ||
|---|---|---|
The convergence of waveform relaxation techniques for solving functional-differential equations is studied. New error estimates are derived that hold under linear and nonlinear conditions for the right-hand side of the equation. Sharp error bounds are obtained under generalized time-dependent Lipschitz conditions. The convergence of the waveform method and the quality of the a priori error bounds are illustrated by means of extensive numerical data obtained by applying the method of lines to three partial functional-differential equations. |
Year | DOI | Venue |
|---|---|---|
1999 | 10.1137/S1064827598332916 | SIAM Journal on Scientific Computing |
Keywords | Field | DocType |
waveform relaxation,functional-differential equations,numerical method of lines,error estimates | Differential equation,Mathematical optimization,Nonlinear system,Mathematical analysis,Waveform,Method of lines,Lipschitz continuity,Functional equation,Gauss–Seidel method,Mathematics,Taylor series | Journal |
Volume | Issue | ISSN |
21 | 1 | 1064-8275 |
Citations | PageRank | References |
14 | 1.98 | 1 |
Authors | ||
2 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| B. Zubik-Kowal | 1 | 26 | 6.68 |
| Stefan Vandewalle | 2 | 501 | 62.63 |