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Springer - Approximate Global Convergence and Adaptivity Book

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Description

Explore new frontiers in mathematical engineering with Approximate Global Convergence and Adaptivity for Coefficient Inverse Problems by Springer. This specialized text serves as the first book to present two groundbreaking concepts for the numerical solution of multidimensional Coefficient Inverse Problems (CIPs) specifically for hyperbolic Partial Differential Equations (PDEs). Readers will gain insights into Approximate Global Convergence and the Adaptive Finite Element Method. The book focuses on solving two fundamental challenges in CIPs: determining how to achieve high-quality approximations of exact solutions without requiring prior knowledge of a small neighborhood around that solution, and learning how to effectively refine those approximations once they are obtained. This resource is designed for professionals and researchers working within the fields of engineering physics and advanced mathematics.

Key Features

Introduces the concept of Approximate Global Convergence for numerical solutions of multidimensional Coefficient Inverse Problems.

Presents the Adaptive Finite Element Method to improve the accuracy and efficiency of solving hyperbolic Partial Differential Equations.

Provides methods to obtain good approximations for exact solutions without needing knowledge of a small neighborhood of the solution.

Offers strategies for the refinement of existing approximations to increase precision in Coefficient Inverse Problems.

Addresses central questions regarding multidimensional CIPs within the context of hyperbolic PDEs.

Product Specifications

Format
hardcover
Domain
Amazon UK
Release Date
09 March 2012
Listed Since
14 September 2010

Barcode

No barcode data available

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