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Difference Methods for Initial-Boundary-Value Problems and Flow Around Bodies (Paperback, Softcover reprint of the original 1st ed. 1988)
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Difference Methods for Initial-Boundary-Value Problems and Flow Around Bodies (Paperback, Softcover reprint of the original 1st ed. 1988)
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Since the appearance of computers, numerical methods for
discontinuous solutions of quasi-linear hyperbolic systems of
partial differential equations have been among the most important
research subjects in numerical analysis. The authors have developed
a new difference method (named the singularity-separating method)
for quasi-linear hyperbolic systems of partial differential
equations. Its most important feature is that it possesses a high
accuracy even for problems with singularities such as schocks,
contact discontinuities, rarefaction waves and detonations. Besides
the thorough description of the method itself, its mathematical
foundation (stability-convergence theory of difference schemes for
initial-boundary-value hyperbolic problems) and its application to
supersonic flow around bodies are discussed. Further, the method of
lines and its application to blunt body problems and conical flow
problems are described in detail. This book should soon be an
important working basis for both graduate students and researchers
in the field of partial differential equations as well as in
mathematical physics.
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