This new book deals with the construction of finite-difference (FD)
algorithms for three main types of equations: elliptic equations,
heat equations, and gas dynamic equations in Lagrangian form. These
methods can be applied to domains of arbitrary shapes. The
construction of FD algorithms for all types of equations is done on
the basis of the support-operators method (SOM). This method
constructs the FD analogs of main invariant differential operators
of first order such as the divergence, the gradient, and the curl.
This book is unique because it is the first book not in Russian to
present the support-operators ideas.
Conservative Finite-Difference Methods on General Grids is
completely self-contained, presenting all the background material
necessary for understanding. The book provides the tools needed by
scientists and engineers to solve a wide range of practical
engineering problems. An abundance of tables and graphs support and
explain methods. The book details all algorithms needed for
implementation. A 3.5" IBM compatible computer diskette with the
main algorithms in FORTRAN accompanies text for easy use.
General
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