The boundary function method for singular perturbation problems / Adelaida B. Vasil'eva, Valentin F. Butuzov, and Leonid V. Kalachev by Vasileva, Adelaida - 1995

Philadelphia: Society for Industrial and Applied Mathematics, 1995. xiii, 221 p. : ill. ; 27 cm. Series: (SIAM studies in applied mathematics ; vol. 14) Includes bibliographical references (p. 209-217) and index. Contents: Chapter 1: Basic Ideas. Regular and Singular Perturbations; Asymptotic Approximations. Asymptotic and Convergent Series; Examples of Asymptotic Expansions for Solutions of Regularly and Singularly Perturbed Problems; Chapter 2: Singularly Perturbed Ordinary Differential Equations. Initial Value Problem; The Critical Case; Boundary Value Problems; Spike-type Solutions and Other Contrast (Dissipative) Structures; Chapter 3: Singularly Perturbed Partial Differential Equations. The Method of Vishik-Lyusternik; Corner Boundary Functions; The Smoothing Procedure; Systems of Equations in Critical Cases; Periodic Solutions; Hyperbolic Systems; Chapter 4: Applied Problems. Mathematical Model of Combustion Process in the Case of Autocatalytic Reaction; Heat Conduction in Thin Bodies; Application of the Boundary Function Method in The Theory of Semiconductor Devices; Relaxation Waves in the FitzHugh-Nagumo System; On Some Other Applied Problems; Index. AS NEW. Cloth. Fine.