Robust Numerical Methods for Singularly Perturbed Differential Equations
Roos, Hans-Gorg; Stynes, Martin; Tobiska, Lutz
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Description for Robust Numerical Methods for Singularly Perturbed Differential Equations
Hardback. This new edition incorporates new developments in numerical methods for singularly perturbed differential equations, focusing on linear convection-diffusion equations and on nonlinear flow problems that appear in computational fluid dynamics. Series: Springer Series in Computational Mathematics. Num Pages: 618 pages, 41 black & white illustrations, 6 black & white tables, biography. BIC Classification: PBKJ. Category: (UP) Postgraduate, Research & Scholarly. Dimension: 239 x 169 x 36. Weight in Grams: 1034.
The analysis of singular perturbed di?erential equations began early in the twentieth century, when approximate solutions were constructed from asy- totic expansions. (Preliminary attempts appear in the nineteenth century - see[vD94].)Thistechniquehas?ourishedsincethemid-1960sanditsprincipal ideas and methods are described in several textbooks; nevertheless, asy- totic expansions may be impossible to construct or may fail to simplify the given problem and then numerical approximations are often the only option. Thesystematicstudyofnumericalmethodsforsingularperturbationpr- lems started somewhat later - in the 1970s. From this time onwards the - search frontier has steadily expanded, but the exposition of new developments in the analysis of these numerical methods has not ... Read more
The analysis of singular perturbed di?erential equations began early in the twentieth century, when approximate solutions were constructed from asy- totic expansions. (Preliminary attempts appear in the nineteenth century - see[vD94].)Thistechniquehas?ourishedsincethemid-1960sanditsprincipal ideas and methods are described in several textbooks; nevertheless, asy- totic expansions may be impossible to construct or may fail to simplify the given problem and then numerical approximations are often the only option. Thesystematicstudyofnumericalmethodsforsingularperturbationpr- lems started somewhat later - in the 1970s. From this time onwards the - search frontier has steadily expanded, but the exposition of new developments in the analysis of these numerical methods has not ... Read more
Product Details
Format
Hardback
Publication date
2007
Publisher
Springer-Verlag Berlin and Heidelberg GmbH & Co. KG Germany
Number of pages
618
Condition
New
Series
Springer Series in Computational Mathematics
Number of Pages
604
Place of Publication
Berlin, Germany
ISBN
9783540344667
SKU
V9783540344667
Shipping Time
Usually ships in 15 to 20 working days
Ref
99-15
Reviews for Robust Numerical Methods for Singularly Perturbed Differential Equations
From the reviews of the second edition: "It is based on the classical technique of constructing asymptotic solutions to singular perturbation problems … . Singular perturbations occur in many important applications and developing asymptotic methods to study such problems continues to present challenges to the applied mathematician. … The authors are to be commended for ... Read more