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.
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