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Books > Computing & IT > General theory of computing > Mathematical theory of computation
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Mathematical Analysis and Numerical Methods for Science and Technology, v. 5 - Evolution Problems, I (Hardcover)
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Mathematical Analysis and Numerical Methods for Science and Technology, v. 5 - Evolution Problems, I (Hardcover)
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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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