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Difference Methods for Singular Perturbation Problems (Paperback)
Loot Price: R1,974
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Difference Methods for Singular Perturbation Problems (Paperback)
Series: Monographs and Surveys in Pure and Applied Mathematics
Expected to ship within 12 - 17 working days
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Difference Methods for Singular Perturbation Problems focuses on
the development of robust difference schemes for wide classes of
boundary value problems. It justifies the -uniform convergence of
these schemes and surveys the latest approaches important for
further progress in numerical methods. The first part of the book
explores boundary value problems for elliptic and parabolic
reaction-diffusion and convection-diffusion equations in
n-dimensional domains with smooth and piecewise-smooth boundaries.
The authors develop a technique for constructing and justifying
uniformly convergent difference schemes for boundary value problems
with fewer restrictions on the problem data. Containing information
published mainly in the last four years, the second section focuses
on problems with boundary layers and additional singularities
generated by nonsmooth data, unboundedness of the domain, and the
perturbation vector parameter. This part also studies both the
solution and its derivatives with errors that are independent of
the perturbation parameters. Co-authored by the creator of the
Shishkin mesh, this book presents a systematic, detailed
development of approaches to construct uniformly convergent finite
difference schemes for broad classes of singularly perturbed
boundary value problems.
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