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Mathematical Analysis and Numerical Methods for Science and Technology, Vol 6 - Evolution Problems II: the Navier-Stokes and Transport Equations and Numerical Methods (Hardcover)
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Mathematical Analysis and Numerical Methods for Science and Technology, Vol 6 - Evolution Problems II: the Navier-Stokes and Transport Equations and Numerical Methods (Hardcover)
Series: Mathematical analysis & numerical methods for science & technology, Vol 6
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These six volumes - the result of a ten 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 caluclate 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 fact 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.
"Volumes 5 and 6" cover problems of Transport and Evolution.
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