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Exact Finite-Difference Schemes.


Exact Finite-Difference Schemes

Edited by Sergey Lemeshevsky, Piotr Matus, and Dmitriy Poliakov

De Gruyter


232 pages




Writing for their peers and for graduate students, physicists and mathematicians describe exact numerical methods of mathematical models. They show how to use exact-difference schemes as a starting point for constructing finite-difference schemes suitable for implementation on a computer, and show that combining exact-difference schemes with modern quadrature formulas results in numerical algorithms that are highly efficient. They cover preliminary results, hyperbolic equations, parabolic equations, using exact different schemes to construct NSFD discretizations of differential equations, exact and truncated difference schemes for boundary-value problems, exact different schemes for stochastic differential equations, and numerical blow-up time. ([umlaut] Ringgold, Inc., Portland, OR)

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Article Type:Book review
Date:Feb 1, 2017
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