A parallel method for the numerical solution of integro-differential equation with positive memory. (Q1420987)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: A parallel method for the numerical solution of integro-differential equation with positive memory. |
scientific article; zbMATH DE number 2031348
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A parallel method for the numerical solution of integro-differential equation with positive memory. |
scientific article; zbMATH DE number 2031348 |
Statements
A parallel method for the numerical solution of integro-differential equation with positive memory. (English)
0 references
23 January 2004
0 references
The method of the title apply the Fourier-Laplace transformation in time to obtain a set of complex-valued, elliptic problems parameterized by points on a contour in the complex plane. This leads to several elliptic problems (one for each point) and they can be solved in parallel, essentially without data communications. Then the time domain solution can be obtained by the Fourier-Laplace inversion formula. An error analysis of the method is presented, and the method is illustrated in detail by six numerical examples.
0 references
integrodifferential equation
0 references
positive memory
0 references
parallel algorithm
0 references
Fourier-Laplace transformation
0 references
Fourier-Laplace inversion formula
0 references
error analysis
0 references
numerical examples
0 references
0 references
0 references
0 references
0 references
0 references
0 references
0 references
0 references
0 references
0 references
0 references
0.86902505
0 references
0.8687347
0 references
0.86414206
0 references
0.8587526
0 references
0.8538044
0 references
