Research Catalog

Title

The boundary function method for singular perturbation problems / Adelaida B. Vasilʹeva, Valentin F. Butuzov, and Leonid V. Kalachev.

Author

Vasilʹeva, A. B. (Adelaida Borisovna), 1926-

Publication

Philadelphia : Society for Industrial and Applied Mathematics, [1995], ©1995.

Items in the Library & Off-site

Holdings

Details

Additional Authors

• Butuzov, V. F. (Valentin Fedorovich)
• Kalachev, Leonid V.

Description

xiii, 221 pages : illustrations; 27 cm.

Series Statement

SIAM studies in applied mathematics ; vol. 14

Uniform Title

SIAM studies in applied mathematics ; 14.

Subjects

• Singular perturbations (Mathematics)
• Boundary value problems > Numerical solutions

Bibliography (note)

• Includes bibliographical references (p. 209-217) and index.

Contents

1. Basic Ideas. 1.1. Regular and singular perturbations. 1.2. Asymptotic approximations. Asymptotic and convergent series. 1.3. Examples of asymptotic expansions for solutions of regularly and singularly perturbed problems -- 2. Singularly Perturbed Ordinary Differential Equations. 2.1. Initial value problem. 2.2. The critical case. 2.3. Boundary value problems. 2.4. Spike-type solutions and other contrast (dissipative) structures -- 3. Singularly Perturbed Partial Differential Equations. 3.1. The method of Vishik-Lyusternik. 3.2. Corner boundary functions. 3.3. The smoothing procedure. 3.4. Systems of equations in critical cases. 3.5. Periodic solutions. 3.6. Hyperbolic systems -- 4. Applied Problems. 4.1. Mathematical model of combustion process in the case of autocatalytic reaction. 4.2. Heat conduction in thin bodies. 4.3. Application of the boundary function method in the theory of semiconductor devices. 4.4. Relaxation Waves in the FitzHugh-Nagumo System. 4.5. On some other applied problems.

ISBN

0898713331

LCCN

94042996

OCLC

ocm31607862

Owning Institutions

Columbia University Libraries