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Robust Computational Techniques for Boundary Layers (Paperback)
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Robust Computational Techniques for Boundary Layers (Paperback)
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Current standard numerical methods are of little use in solving
mathematical problems involving boundary layers. In Robust
Computational Techniques for Boundary Layers, the authors construct
numerical methods for solving problems involving differential
equations that have non-smooth solutions with singularities related
to boundary layers. They present a new numerical technique that
provides precise results in the boundary layer regions for the
problems discussed in the book. They show that this technique can
be adapted in a natural way to a real flow problem, and that it can
be used to construct benchmark solutions for comparison with
solutions found using other numerical techniques. Focusing on
robustness, simplicity, and wide applicability rather than on
optimality, Robust Computational Techniques for Boundary Layers
provides readers with an understanding of the underlying principles
and the essential components needed for the construction of
numerical methods for boundary layer problems. It explains the
fundamental ideas through physical insight, model problems, and
computational experiments and gives details of the linear solvers
used in the computations so that readers can implement the methods
and reproduce the numerical results.
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