| Title:
|
A matrix constructive method for the analytic-numerical solution of coupled partial differential systems (English) |
| Author:
|
Jódar, Lucas |
| Author:
|
Navarro, Enrique |
| Author:
|
Ferrer, M. V. |
| Language:
|
English |
| Journal:
|
Applications of Mathematics |
| ISSN:
|
0862-7940 (print) |
| ISSN:
|
1572-9109 (online) |
| Volume:
|
40 |
| Issue:
|
5 |
| Year:
|
1995 |
| Pages:
|
391-400 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
In this paper we construct analytic-numerical solutions for initial-boundary value systems related to the equation $u_t-Au_{xx}-Bu=0$, where $B$ is an arbitrary square complex matrix and $A$ ia s matrix such that the real part of the eigenvalues of the matrix $\frac{1}{2}(A+A^H)$ is positive. Given an admissible error $\varepsilon $ and a finite domain $G$, and analytic-numerical solution whose error is uniformly upper bounded by $\varepsilon $ in $G$, is constructed. (English) |
| Keyword:
|
Schur decomposition |
| Keyword:
|
partial differential system |
| Keyword:
|
eigenvalues bound |
| Keyword:
|
matrix norms |
| Keyword:
|
analytic-numerical solution |
| Keyword:
|
error bounds |
| MSC:
|
15A24 |
| MSC:
|
15A45 |
| MSC:
|
15A60 |
| MSC:
|
35K15 |
| MSC:
|
65F15 |
| MSC:
|
65M70 |
| MSC:
|
65N15 |
| idZBL:
|
Zbl 0841.65087 |
| idMR:
|
MR1342368 |
| DOI:
|
10.21136/AM.1995.134302 |
| . |
| Date available:
|
2009-09-22T17:49:07Z |
| Last updated:
|
2020-07-28 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/134302 |
| . |
| Reference:
|
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| Reference:
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| Reference:
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