Numerical Methods in Sensitivity Analysis and Shape Optimization:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Boston, MA
Birkhäuser Boston
2003
|
| Schriftenreihe: | Modeling and Simulation in Science, Engineering and Technology
|
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Beschreibung: | Sensitivity analysis and optimal shape design are key issues in engineering that have been affected by advances in numerical tools currently available. This book, and its supplementary online files, presents basic optimization techniques that can be used to compute the sensitivity of a given design to local change, or to improve its performance by local optimization of these data. The relevance and scope of these techniques have improved dramatically in recent years because of progress in discretization strategies, optimization algorithms, automatic differentiation, software availability, and the power of personal computers. Key features of this original, progressive, and comprehensive approach: * description of mathematical background and underlying tools * up-to-date review of grid construction and control, optimization algorithms, software differentiation and gradient calculations * practical solutions for implementation in many real-life problems * solution of illustrative examples and exercises * basic mathematical programming techniques used to solve constrained minimization problems are presented; these fairly self-contained chapters can serve as an introduction to the numerical solution of generic constrained optimization problems * supplementary online source files and data; readers can test different solution strategies to determine their relevance and efficiency * supplementary files also offer software building, updating computational grids, performing automatic code differentiation, and computing basic aeroelastic solutions Numerical Methods in Sensitivity Analysis and Shape Optimization will be of interest to graduate students involved in mathematical modeling and simulation, as well as engineers and researchers in applied mathematics looking for an up-to-date introduction to optimization techniques, sensitivity analysis, and optimal design. The work is suitable as a textbook for graduate courses in any of the topics mentioned above, and as a reference text |
| Beschreibung: | 1 Online-Ressource (XVII, 194 p) |
| ISBN: | 9781461200697 9781461265986 |
| ISSN: | 2164-3679 |
| DOI: | 10.1007/978-1-4612-0069-7 |
Internformat
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Datensatz im Suchindex
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| any_adam_object | |
| author | Laporte, Emmanuel |
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| building | Verbundindex |
| bvnumber | BV042419425 |
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| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 518 - Numerical analysis |
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| dewey-sort | 3518 |
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| discipline | Mathematik |
| doi_str_mv | 10.1007/978-1-4612-0069-7 |
| format | Electronic eBook |
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| id | DE-604.BV042419425 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T01:21:04Z |
| institution | BVB |
| isbn | 9781461200697 9781461265986 |
| issn | 2164-3679 |
| language | English |
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| series2 | Modeling and Simulation in Science, Engineering and Technology |
| spelling | Laporte, Emmanuel Verfasser aut Numerical Methods in Sensitivity Analysis and Shape Optimization by Emmanuel Laporte, Patrick Tallec Boston, MA Birkhäuser Boston 2003 1 Online-Ressource (XVII, 194 p) txt rdacontent c rdamedia cr rdacarrier Modeling and Simulation in Science, Engineering and Technology 2164-3679 Sensitivity analysis and optimal shape design are key issues in engineering that have been affected by advances in numerical tools currently available. This book, and its supplementary online files, presents basic optimization techniques that can be used to compute the sensitivity of a given design to local change, or to improve its performance by local optimization of these data. The relevance and scope of these techniques have improved dramatically in recent years because of progress in discretization strategies, optimization algorithms, automatic differentiation, software availability, and the power of personal computers. Key features of this original, progressive, and comprehensive approach: * description of mathematical background and underlying tools * up-to-date review of grid construction and control, optimization algorithms, software differentiation and gradient calculations * practical solutions for implementation in many real-life problems * solution of illustrative examples and exercises * basic mathematical programming techniques used to solve constrained minimization problems are presented; these fairly self-contained chapters can serve as an introduction to the numerical solution of generic constrained optimization problems * supplementary online source files and data; readers can test different solution strategies to determine their relevance and efficiency * supplementary files also offer software building, updating computational grids, performing automatic code differentiation, and computing basic aeroelastic solutions Numerical Methods in Sensitivity Analysis and Shape Optimization will be of interest to graduate students involved in mathematical modeling and simulation, as well as engineers and researchers in applied mathematics looking for an up-to-date introduction to optimization techniques, sensitivity analysis, and optimal design. The work is suitable as a textbook for graduate courses in any of the topics mentioned above, and as a reference text Mathematics Computer science / Mathematics Mathematical optimization Engineering Computational Mathematics and Numerical Analysis Applications of Mathematics Optimization Computational Intelligence Informatik Ingenieurwissenschaften Mathematik Sensitivitätsanalyse (DE-588)4129730-1 gnd rswk-swf Numerisches Verfahren (DE-588)4128130-5 gnd rswk-swf Gestaltoptimierung (DE-588)4329076-0 gnd rswk-swf Sensitivitätsanalyse (DE-588)4129730-1 s Numerisches Verfahren (DE-588)4128130-5 s 1\p DE-604 Gestaltoptimierung (DE-588)4329076-0 s 2\p DE-604 Tallec, Patrick Sonstige oth https://doi.org/10.1007/978-1-4612-0069-7 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 | Laporte, Emmanuel Numerical Methods in Sensitivity Analysis and Shape Optimization Mathematics Computer science / Mathematics Mathematical optimization Engineering Computational Mathematics and Numerical Analysis Applications of Mathematics Optimization Computational Intelligence Informatik Ingenieurwissenschaften Mathematik Sensitivitätsanalyse (DE-588)4129730-1 gnd Numerisches Verfahren (DE-588)4128130-5 gnd Gestaltoptimierung (DE-588)4329076-0 gnd |
| subject_GND | (DE-588)4129730-1 (DE-588)4128130-5 (DE-588)4329076-0 |
| title | Numerical Methods in Sensitivity Analysis and Shape Optimization |
| title_auth | Numerical Methods in Sensitivity Analysis and Shape Optimization |
| title_exact_search | Numerical Methods in Sensitivity Analysis and Shape Optimization |
| title_full | Numerical Methods in Sensitivity Analysis and Shape Optimization by Emmanuel Laporte, Patrick Tallec |
| title_fullStr | Numerical Methods in Sensitivity Analysis and Shape Optimization by Emmanuel Laporte, Patrick Tallec |
| title_full_unstemmed | Numerical Methods in Sensitivity Analysis and Shape Optimization by Emmanuel Laporte, Patrick Tallec |
| title_short | Numerical Methods in Sensitivity Analysis and Shape Optimization |
| title_sort | numerical methods in sensitivity analysis and shape optimization |
| topic | Mathematics Computer science / Mathematics Mathematical optimization Engineering Computational Mathematics and Numerical Analysis Applications of Mathematics Optimization Computational Intelligence Informatik Ingenieurwissenschaften Mathematik Sensitivitätsanalyse (DE-588)4129730-1 gnd Numerisches Verfahren (DE-588)4128130-5 gnd Gestaltoptimierung (DE-588)4329076-0 gnd |
| topic_facet | Mathematics Computer science / Mathematics Mathematical optimization Engineering Computational Mathematics and Numerical Analysis Applications of Mathematics Optimization Computational Intelligence Informatik Ingenieurwissenschaften Mathematik Sensitivitätsanalyse Numerisches Verfahren Gestaltoptimierung |
| url | https://doi.org/10.1007/978-1-4612-0069-7 |
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