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.

lgrsnf/G:\!genesis\_add\!woodhead\Springer\bok%3A978-3-642-61566-5.pdf

nexusstc/Mathematical Analysis and Numerical Methods for Science and Technology/3e1b27b852140209b953c0e9c8ecbde9.pdf

scihub/10.1007/978-3-642-61566-5.pdf

zlib/Mathematics/Robert Dautray, Jacques-Louis Lions (auth.)/Mathematical Analysis and Numerical Methods for Science and Technology: Volume 2 Functional and Variational Methods_2527819.pdf

Mathematical analysis and numerical methods for science and technology / Vol. 2, Functional and variational methods / with the collab. of Michel Artola ... [et al.] ; transl. from the French by Ian N. Sneddon

Dautray, Robert, Lions, Jacques-Louis

Robert Dautray, Jacques Louis Lions

I.N. Sneddon; H. Lanchon B. M

J-L. Lions, R. Dautray

Spektrum Akademischer Verlag. in Springer-Verlag GmbH

Springer Spektrum. in Springer-Verlag GmbH

Steinkopff. in Springer-Verlag GmbH

Springer Nature

Mathematical analysis and numerical methods for science and technology, v. 2, Berlin, Heidelberg, 2000

2nd ed, Berlin, cop. 2000

Berlin, Heidelberg, 2015

Berlin [etc, cop. 2000

Germany, Germany

1, 20150320

1, US, 1999

lg1335151

{"edition":"1","isbns":["3540660984","364261566X","9783540660989","9783642615665"],"last_page":590,"publisher":"Springer"}

Front Matter....Pages I-XV
Functional Transformations....Pages 1-91
Sobolev Spaces....Pages 92-147
Linear Differential Operators....Pages 148-268
Operators in Banach Spaces and in Hilbert Spaces....Pages 269-374
Linear Variational Problems. Regularity....Pages 375-456
Back Matter....Pages 457-589

Compiles 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.

2015-04-23