工学的設計最適化（テキスト） Engineering Design Optimization

Martins, Joaquim R. R. A./ Ning, Andrew

Cambridge University Press（2021/11発売）

• 製本 Hardcover:ハードカバー版／ページ数 650 p.
• 言語 ENG
• 商品コード 9781108833417
• DDC分類 620.0042

Full Description

Based on course-tested material, this rigorous yet accessible graduate textbook covers both fundamental and advanced optimization theory and algorithms. It covers a wide range of numerical methods and topics, including both gradient-based and gradient-free algorithms, multidisciplinary design optimization, and uncertainty, with instruction on how to determine which algorithm should be used for a given application. It also provides an overview of models and how to prepare them for use with numerical optimization, including derivative computation. Over 400 high-quality visualizations and numerous examples facilitate understanding of the theory, and practical tips address common issues encountered in practical engineering design optimization and how to address them. Numerous end-of-chapter homework problems, progressing in difficulty, help put knowledge into practice. Accompanied online by a solutions manual for instructors and source code for problems, this is ideal for a one- or two-semester graduate course on optimization in aerospace, civil, mechanical, electrical, and chemical engineering departments.

Contents

1. Introduction; 2. A short history of optimization; 3. Numerical models and solvers; 4. Unconstrained gradient-based optimization; 5. Constrained gradient-based optimization; 6. Computing derivatives; 7. Gradient-free optimization; 8. Discrete optimization; 9. Multiobjective optimization; 10. Surrogate-based optimization; 11. Convex optimization; 12. Optimization under uncertainity; 13. Multidisciplinary design optimization; A. Mathematics background; B. Linear solvers; C. Quasi-Newton methods; D. Test problems.