| Title:
|
Numerical studies of parameter estimation techniques for nonlinear evolution equations (English) |
| Author:
|
Ackleh, Azmy S. |
| Author:
|
Ferdinand, Robert R. |
| Author:
|
Reich, Simeon |
| Language:
|
English |
| Journal:
|
Kybernetika |
| ISSN:
|
0023-5954 |
| Volume:
|
34 |
| Issue:
|
6 |
| Year:
|
1998 |
| Pages:
|
[693]-712 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
We briefly discuss an abstract approximation framework and a convergence theory of parameter estimation for a general class of nonautonomous nonlinear evolution equations. A detailed discussion of the above theory has been given earlier by the authors in another paper. The application of this theory together with numerical results indicating the feasibility of this general least squares approach are presented in the context of quasilinear reaction diffusion equations. (English) |
| Keyword:
|
nonlinear evolution equation |
| Keyword:
|
parameter estimation |
| MSC:
|
34G20 |
| MSC:
|
65C60 |
| MSC:
|
93B30 |
| MSC:
|
93E10 |
| MSC:
|
93E25 |
| idZBL:
|
Zbl 1274.34177 |
| idMR:
|
MR1695372 |
| . |
| Date available:
|
2009-09-24T19:21:54Z |
| Last updated:
|
2015-03-28 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/135255 |
| . |
| Reference:
|
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| Reference:
|
[2] Ackleh A. S., Fitzpatrick B. G.: Estimation of discontinuous parameters in general parabolic systems.Kybernetika 32 (1996), 543–556 MR 1438104 |
| Reference:
|
[3] Ackleh A. S., Reich S.: Parameter Estimation in Nonlinear Evolution Equations.Numer. Funct. Anal. Optim. 19 (1998), 933–947 Zbl 0922.35185, MR 1656403, 10.1080/01630569808816867 |
| Reference:
|
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| Reference:
|
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| Reference:
|
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| Reference:
|
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| Reference:
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| Reference:
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| . |
