Reliable methods for computer simulation: error control and a posteriori estimates
Saved in:
| Main Author: | |
|---|---|
| Format: | Electronic eBook |
| Language: | English |
| Published: |
Amsterdam
Elsevier
2004
|
| Series: | Studies in mathematics and its applications
v. 33 |
| Subjects: | |
| Online Access: | Volltext |
| Item Description: | Recent decades have seen a very rapid success in developing numerical methods based on explicit control over approximation errors. It may be said that nowadays a new direction is forming in numerical analysis, the main goal of which is to develop methods ofreliable computations. In general, a reliable numerical method must solve two basic problems: (a) generate a sequence of approximations that converges to a solution and (b) verify the accuracy of these approximations. A computer code for such a method must consist of two respective blocks: solver and checker. In this book, we are chiefly concerned with the problem (b) and try to present the main approaches developed for a posteriori error estimation in various problems. The authors try to retain a rigorous mathematical style, however, proofs are constructive whenever possible and additional mathematical knowledge is presented when necessary. The book contains a number of new mathematical results and lists a posteriori error estimation methods that have been developed in the very recent time. computable bounds of approximation errors checking algorithms iteration processes finite element methods elliptic type problems nonlinear variational problems variational inequalities Includes bibliographical references (p. 281-299) and index |
| Physical Description: | 1 Online-Ressource (x, 305 p.) |
| ISBN: | 9780444513762 0444513760 9781435601017 1435601017 0080540503 9780080540504 |
Staff View
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| isbn | 9780444513762 0444513760 9781435601017 1435601017 0080540503 9780080540504 |
| language | English |
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| spelling | Neittaanmäki, P., (Pekka) Verfasser aut Reliable methods for computer simulation error control and a posteriori estimates P. Neittaanmäki and S. Repin Amsterdam Elsevier 2004 1 Online-Ressource (x, 305 p.) txt rdacontent c rdamedia cr rdacarrier Studies in mathematics and its applications v. 33 Recent decades have seen a very rapid success in developing numerical methods based on explicit control over approximation errors. It may be said that nowadays a new direction is forming in numerical analysis, the main goal of which is to develop methods ofreliable computations. In general, a reliable numerical method must solve two basic problems: (a) generate a sequence of approximations that converges to a solution and (b) verify the accuracy of these approximations. A computer code for such a method must consist of two respective blocks: solver and checker. In this book, we are chiefly concerned with the problem (b) and try to present the main approaches developed for a posteriori error estimation in various problems. The authors try to retain a rigorous mathematical style, however, proofs are constructive whenever possible and additional mathematical knowledge is presented when necessary. The book contains a number of new mathematical results and lists a posteriori error estimation methods that have been developed in the very recent time. computable bounds of approximation errors checking algorithms iteration processes finite element methods elliptic type problems nonlinear variational problems variational inequalities Includes bibliographical references (p. 281-299) and index COMPUTERS / Computer Simulation bisacsh Approximation theory fast Error-correcting codes (Information theory) fast Numerical analysis fast Numerical analysis Error-correcting codes (Information theory) Approximation theory Computersimulation (DE-588)4148259-1 gnd rswk-swf A-posteriori-Abschätzung (DE-588)4346907-3 gnd rswk-swf A-posteriori-Abschätzung (DE-588)4346907-3 s 1\p DE-604 Computersimulation (DE-588)4148259-1 s 2\p DE-604 Repin, Sergey I. Sonstige oth http://www.sciencedirect.com/science/book/9780444513762 Verlag Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 2\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Neittaanmäki, P., (Pekka) Reliable methods for computer simulation error control and a posteriori estimates COMPUTERS / Computer Simulation bisacsh Approximation theory fast Error-correcting codes (Information theory) fast Numerical analysis fast Numerical analysis Error-correcting codes (Information theory) Approximation theory Computersimulation (DE-588)4148259-1 gnd A-posteriori-Abschätzung (DE-588)4346907-3 gnd |
| subject_GND | (DE-588)4148259-1 (DE-588)4346907-3 |
| title | Reliable methods for computer simulation error control and a posteriori estimates |
| title_auth | Reliable methods for computer simulation error control and a posteriori estimates |
| title_exact_search | Reliable methods for computer simulation error control and a posteriori estimates |
| title_full | Reliable methods for computer simulation error control and a posteriori estimates P. Neittaanmäki and S. Repin |
| title_fullStr | Reliable methods for computer simulation error control and a posteriori estimates P. Neittaanmäki and S. Repin |
| title_full_unstemmed | Reliable methods for computer simulation error control and a posteriori estimates P. Neittaanmäki and S. Repin |
| title_short | Reliable methods for computer simulation |
| title_sort | reliable methods for computer simulation error control and a posteriori estimates |
| title_sub | error control and a posteriori estimates |
| topic | COMPUTERS / Computer Simulation bisacsh Approximation theory fast Error-correcting codes (Information theory) fast Numerical analysis fast Numerical analysis Error-correcting codes (Information theory) Approximation theory Computersimulation (DE-588)4148259-1 gnd A-posteriori-Abschätzung (DE-588)4346907-3 gnd |
| topic_facet | COMPUTERS / Computer Simulation Approximation theory Error-correcting codes (Information theory) Numerical analysis Computersimulation A-posteriori-Abschätzung |
| url | http://www.sciencedirect.com/science/book/9780444513762 |
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