Robust computational techniques for boundary layers

Robust computational techniques for boundary layers

by Eugene O'Riordan, Paul Farrell, Grigory I. Shishkin, John M. Miller, Alan Hegarty

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"Current standard numerical methods are of no practical use for the numerical resolution of boundary layers. In Robust Computational Techniques for Boundary Layers, the authors construct numerical methods for solving problems involving differential equations with boundary layers in their solutions. They present essentially new systematic numerical techniques that give precise results in the boundary layer regions for the problems discussed in the book. They show that these techniques can be adapted in a natural way to real flow problems, and can be used to construct benchmark solutions for comparison with solutions found using other numerical techniques."--BOOK JACKET.

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  1. 1

    How do the authors use the concept of "robustness" not just as a mathematical tool, but as a metaphor for tackling seemingly intractable problems in our own professional or personal lives?

  2. 2

    In a world that often relies on standard, generalized approaches, how does the book's insistence on specialized, high-precision techniques challenge the way we solve complex challenges?

  3. 3

    The text highlights how standard numerical methods fail when confronted with boundary layers; can you share a time in your life or career when conventional wisdom or standard methods completely broke down for you?

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