{"product_id":"a-direct-method-for-parabolic-pde-constrained-optimization-problems-2014","title":"A Direct Method for Parabolic PDE Constrained Optimization Problems","description":"\u003cp\u003e\"A Direct Method for Parabolic PDE Constrained Optimization Problems\" by Andreas Potschka is a mathematics book and learning resource focused on Core Mathematics. Best for teachers, students, and readers looking for stronger mathematical understanding.\u003c\/p\u003e\n\u003cp\u003eAndreas 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.\u003c\/p\u003e","brand":"Springer Spektrum","offers":[{"title":"Default Title","offer_id":46414667972807,"sku":"1-99-510-000668","price":54.99,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0736\/9575\/6487\/files\/9783658044756.jpg?v=1776269207","url":"https:\/\/snowflakeskies.com\/products\/a-direct-method-for-parabolic-pde-constrained-optimization-problems-2014","provider":"Snowflake Skies","version":"1.0","type":"link"}