# Numerical Methods for Inverse Problems

**Michel Kern**,* Inria Research Center*, Paris, France

ISBN : 9781848218185

Publication Date : **April 2016**

Hardcover **232 pp**

**115.00 USD**

Co-publisher

### Description

This book studies methods to concretely address inverse problems. An inverse problem arises when the causes that produced a given effect must be determined or when one seeks to indirectly estimate the parameters of a physical system.

The author uses practical examples to illustrate inverse problems in physical sciences. He presents the techniques and specific methods chosen to solve inverse problems in a general domain of application, choosing to focus on a small number of methods that can be used in most applications.

This book is aimed at readers with a mathematical and scientific computing background. Despite this, it is a book with a practical perspective. The methods described are applicable, have been applied, and are often illustrated by numerical examples.

### Contents

1. Overview of Inverse Problems.

2. Examples of Inverse Problems.

3. Integral Operators and Integral Equations.

4. Linear Least Squares Problems – Singular Value Decomposition.

5. Regularization of Linear Inverse Problems.

6. Nonlinear Inverse Problems – Generalities.

7. Some Parameter Estimation Examples.

8. Further Information.

### About the authors/editors

Michel Kern is a research scientist in the Serena group at the Inria Research Center in Paris, France