{"product_id":"andreas-potschka-a-direct-method-for-parabolic-pde-constrained-optimization-problems-9783658044756","title":"A Direct Method for Parabolic PDE Constrained Optimization Problems","description":"Andreas Potschka discusses a direct multiple shooting method for dynamic optimization problems constrained by nonlinear, possibly time-periodic, parabolic partial differential equations. In contrast to indirect methods, this approach automatically computes adjoint derivatives without requiring the user to formulate adjoint equations, which can be time-consuming and error-prone. The author describes and analyzes in detail a globalized inexact Sequential Quadratic Programming method that exploits the mathematical structures of this approach and problem class for fast numerical performance. The book features applications, including results for a real-world chemical engineering separation problem.","brand":"Springer","offers":[{"title":"Default Title","offer_id":54722317844822,"sku":null,"price":0.0,"currency_code":"EUR","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0925\/5829\/5382\/files\/product_image_9783658044756_1.jpg?v=1791135605","url":"https:\/\/www.momoxbooks.com\/products\/andreas-potschka-a-direct-method-for-parabolic-pde-constrained-optimization-problems-9783658044756","provider":"momox","version":"1.0","type":"link"}