Title Iterative regularization methods for nonlinear ill-posed problems / Barbara Kaltenbacher, Andreas Neubauer, Otmar Scherzer

Published Berlin ; New York : Walter de Gruyter, ©2008

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Description 1 online resource (viii, 200 pages) : illustrations Series Radon series on computational and applied mathematics, 1865-3707 ; 6 Radon series on computational and applied mathematics ; 6. Contents Frontmatter; Contents; 1 Introduction; 2 Nonlinear Landweber iteration; 3 Modified Landweber methods; 4 Newton type methods; 5 Multilevel methods; 6 Level set methods; 7 Applications; 8 Comments; Backmatter Summary Nonlinear inverse problems appear in many applications, and typically they lead to mathematical models that are ill-posed, i.e., they are unstable under data perturbations. Those problems require a regularization, i.e., a special℗¡ numerical treatment. This book presents regularization schemes which are based on iteration methods, e.g., nonlinear Landweber iteration, level set methods, multilevel methods and Newton type methods Bibliography Includes bibliographical references (pages 183-192) and index Notes Master and use copy. Digital master created according to Benchmark for Faithful Digital Reproductions of Monographs and Serials, Version 1. Digital Library Federation, December 2002. http://purl.oclc.org/DLF/benchrepro0212 MiAaHDL In English Print version record digitized 2011 HathiTrust Digital Library committed to preserve pda MiAaHDL Subject Differential equations, Partial -- Improperly posed problems. Iterative methods (Mathematics) MATHEMATICS -- Differential Equations -- Partial. Differential equations, Partial -- Improperly posed problems Iterative methods (Mathematics) Nichtlineares inverses Problem Inkorrekt gestelltes Problem Regularisierungsverfahren Iteration Form Electronic book Author Neubauer, Andreas Scherzer, Otmar, 1964- ISBN 9783110208276 311020827X 9783110204209 3110204207

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