Mathematical Analysis and Numerical Methods for Science and Technology: Volume 1 Physical Origins and Classical Methods

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Springer Berlin Heidelberg, Dec 19, 1989 - Mathematics - 720 pages
In the first years of the 1970's Robert Dautray engaged in conversations with Jacques Yvon, High-Commissioner of Atomic energy, of the necessity of publish ing mathematical works of the highest level to put at the disposal of the scientific community a synthesis of the modern methods of calculating physical phe nomena. It is necessary to get away from the habit of treating mathematical concepts as elegant abstract entities little used in practice. We must develop a technique, but without falling into an impoverishing utilitarianism. The competence of the Commissariat a I'Energie Atomique in this matter can provide a support of exceptional value for such an enterprise. The work which I have the pleasure to present realises the synthesis ofmathemat ical methods, seen from the angle of their applications, and of use in designing computer programs. It should be seen as complete as possible for the present moment, with the present degree of development of each of the subjects. It is this specific approach which creates the richness of this work, at the same time a considerable achievement and a harbinger of the future. The encounter to which it gives rise among the originators of mathematical thought, the users of these concepts and computer scientists will be fruitful for the solution of the great problems which remain to be treated, should they arise from the mathematical structure itself (for example from non-linearities) or from the architecture of computers, such as parallel computers.

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Contents

Introduction
1
Diffusion
15
2 Linear Elasticity
28
Copyright

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About the author (1989)

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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