Optimization with PDE Constraints: ESF Networking Program 'OPTPDE' (Lecture Notes in Computational Science and Engineering)
暫譯: 帶有偏微分方程約束的優化:ESF 網絡計劃「OPTPDE」(計算科學與工程講義)

  • 出版商: Springer
  • 出版日期: 2014-09-23
  • 售價: $4,510
  • 貴賓價: 9.5$4,285
  • 語言: 英文
  • 頁數: 402
  • 裝訂: Hardcover
  • ISBN: 3319080245
  • ISBN-13: 9783319080246
  • 海外代購書籍(需單獨結帳)

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商品描述

This book on PDE Constrained Optimization contains contributions on the mathematical analysis and numerical solution of constrained optimal control and optimization problems where a partial differential equation (PDE) or a system of PDEs appears as an essential part of the constraints. The appropriate treatment of such problems requires a fundamental understanding of the subtle interplay between optimization in function spaces and numerical discretization techniques and relies on advanced methodologies from the theory of PDEs and numerical analysis as well as scientific computing. The contributions reflect the work of the European Science Foundation Networking Programme ’Optimization with PDEs’ (OPTPDE).

商品描述(中文翻譯)

本書關於偏微分方程約束優化(PDE Constrained Optimization),包含了對於約束最優控制和優化問題的數學分析及數值解法的貢獻,其中偏微分方程(PDE)或一組偏微分方程作為約束的核心部分。妥善處理這類問題需要對函數空間中的優化與數值離散技術之間微妙的相互作用有基本的理解,並依賴於來自偏微分方程理論、數值分析以及科學計算的先進方法論。這些貢獻反映了歐洲科學基金會網絡計劃「與偏微分方程的優化」(Optimization with PDEs, OPTPDE)的工作。