Robust Computational Techniques for Boundary Layers (Applied Mathematics and Mathematical Computation Series)
Publisher: Chapman & Hall/CRC; Chapman and Hall/CRC
Published: March 30, 2000
Language: eng
Format: Hardcover
Number of pages: 256
ISBN-13: 9781584881926
Subjects: Applications of Computing; Fluid mechanics; Mathematics for scientists & engineers; Sound, vibration & waves (acoustics); Functional Analysis; Mathematical Analysis; Applied; Numerical calculations; Analytic Mechanics (Mathematical Aspects); Boundary Value Problems; Mathematics; Science/Mathematics; Differential Equations; Mathematics / Advanced; Advanced; Boundary layer
First sentence: We begin by considering the simple linear convection-diffusion problem (x) + (x) = 0 for all x = (0,1), (1.la) (0) = 0, (1) = 50, (1.1b) where is a small positive parameter called the singular perturbation parameter and 0 &lt; 1.
Description: "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.