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The Mollification Method and the Numerical Solution of Ill-Posed Problems

The Mollification Method and the Numerical Solution of Ill-Posed Problems

Diego A. Murio

ISBN: 978-1-118-03321-0

Feb 2011

272 pages

Select type: O-Book

Description

Uses a strong computational and truly interdisciplinary treatment to introduce applied inverse theory. The author created the Mollification Method as a means of dealing with ill-posed problems. Although the presentation focuses on problems with origins in mechanical engineering, many of the ideas and techniques can be easily applied to a broad range of situations.
Numerical Differentiation.

Abel's Integral Equation.

Inverse Heat Conduction Problem.

Two-Dimensional Inverse Heat Conduction Problem.

Applications of the Space Marching Solution of the IHCP.

Applications of Stable Numerical Differentiation Procedures.

Appendices.

Index.