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Iterative regularization methods for nonlinear ill-posed problems

✍ Scribed by Kaltenbacher, Barbara

Book ID
127456156
Publisher
Walter de Gruyter
Year
2008
Tongue
English
Weight
1 MB
Series
Computational and Applied Mathematics
Edition
1
Category
Library
ISBN
311020827X

No coin nor oath required. For personal study only.

✦ Synopsis

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.

✦ Subjects

Вычислительная математика

📜 SIMILAR VOLUMES

A regularization method for nonlinear il
A regularization method for nonlinear ill-posed problems
✍ Jürgen Weese 📂 Article 📅 1993 🏛 Elsevier Science 🌐 English ⚖ 735 KB

Often, physically interesting functions are not directly accessible by an experiment, and must be calculat an experimental accessible quantity. If this calculation requires the inversion of a Fredholm integral equk ind, the determination of the physically interesting function is an ill-posed problem