Mathematical Analysis and Numerical Methods for Science and Technology
Subtitle: Volume 4 Integral Equations and Numerical Methods
By: by Robert Dautray, Jacques-Louis Lions
Contributors: Lions, Jacques-Louis
Publisher: Springer Berlin Heidelberg
Published: 1990
Place of publication: Berlin, Heidelberg
Language: eng
Format: [electronic resource] :
Number of pages: 494
ISBN-13: 9783642615313
Description: 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: title: Mixed Problems and Tricomi Equation; title: Integral Equations; title: Numerical Methods for Stationary Problems; title: Approximation of Integral Equations by Finite Elements. Error Analysis; title: Appendix: Singular Integrals; title: Bibliography; title: Table of Notations; title: Index; title: Contents of Volumes 1-3, 5, 6.