Mathematical Analysis and Numerical Methods for Science and Technology: Volume 4 Integral Equations and Numerical Methods

✍ Scribed by Robert Dautray, Jacques-Louis Lions (auth.)

• Publisher: Springer-Verlag Berlin Heidelberg
• Year: 1990
• Tongue: English
• Leaves: 502
• Edition: 1
• Category: Library

✦ Synopsis

The advent of high-speed computers has made it possible for the first time to calculate values from models accurately and rapidly. Researchers and engineers thus have a crucial means of using numerical results to modify and adapt arguments and experiments along the way. Every facet of technical and industrial activity has been affected by these developments. The objective of the present work is to compile the mathematical knowledge required by researchers in mechanics, physics, engineering, chemistry and other branches of application of mathematics for the theoretical and numerical resolution of physical models on computers. Since the publication in 1924 of the "Methoden der mathematischen Physik" by Courant and Hilbert, there has been no other comprehensive and up-to-date publication presenting the mathematical tools needed in applications of mathematics in directly implementable form.

✦ Table of Contents

Front Matter....Pages I-X
Mixed Problems and the Tricomi Equation....Pages 1-32
Integral Equations....Pages 33-159
Numerical Methods for Stationary Problems....Pages 160-358
Approximation of Integral Equations by Finite Elements. Error Analysis....Pages 359-370
Back Matter....Pages 371-493

✦ Subjects

Numerical Analysis;Partial Differential Equations;Math. Applications in Chemistry;Computational Intelligence