Mathematical Analysis and Numerical Methods for Science and Technology: Volume 2 Functional and Variational Methods

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Springer Science & Business Media, Nov 23, 1999 - Mathematics - 590 pages
These 6 volumes - the result of a 10 year collaboration between the authors, two of France's leading scientists and both distinguished international figures - 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. The advent of large computers has in the meantime revolutionised methods of computation and made this gap in the literature intolerable: the objective of the present work is to fill just this gap. Many phenomena in physical mathematics may be modeled by a system of partial differential equations in distributed systems: a model here means a set of equations, which together with given boundary data and, if the phenomenon is evolving in time, initial data, defines the system. 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. Modeling by distributed systems now also supports work in many areas of physics (plasmas, new materials, astrophysics, geophysics), chemistry and mechanics and is finding increasing use in the life sciences.
 

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Contents

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About the author (1999)

Jacques-Louis Lions, 1928 - 2001 Jacques-Louis Lions was born in 1928 in Grasse in the Maritime Alps. He attended the University of Paris and received his doctorate in science from there in 1954. He then taught at the University of Paris and the University of Nancy until 1972. From there, Lions went to the College de France where he served as the chairman of analysis and systems control. He was rewarded with position as a Commander of the Legion of Honor and also served as president of the Academy of Arts and Sciences in the late 90's. Lions was a professor emeritus at the College de France since 1999 and a former president of the French National Center of Space Studies and the French Academy of Sciences. In the years before he died, Lions worked as a director and advisor to industry, advising companies such as France Telecom and Dassault Systemes. He wrote many books and papers on developing methods and systematic theories to analyze and solve partial differential equations. For those publications, Lions was honored by universities and scientific societies such as when he won the Japan Prize in 1991, and the Lagrange Prize from the University of California at Berkeley in 1999. Jacques-Louis Lions died in Paris on May 17, 2001 at the age of 73.

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