Methods and Applications of Singular Per
β Ferdinand Verhulst (auth.)
π Library
π
2005
π Springer-Verlag New York
π English
β¦ LIBER β¦
π
Methods and Applications of Singular Perturbations: Boundary Layers and Multiple Timescale Dynamics
β Scribed by Ferdinand Verhulst (auth.)
- Publisher
- Springer-Verlag New York
- Year
- 2005
- Tongue
- English
- Leaves
- 332
- Series
- Texts in Applied Mathematics 50
- Edition
- 1
- Category
- Library
β¬ Acquire This Volume
No coin nor oath required. For personal study only.
β¦ Synopsis
Perturbation theory, one of the most intriguing and essential topics in mathematics, and its applications to the natural and engineering sciences is the main focus of this workbook. In a systematic introductory manner, this unique book deliniates boundary layer theory for ordinary and partial differential equations, multi-timescale phenomena for nonlinear oscillations, diffusion and nonlinear wave equations. The book provides analysis of simple examples in the context of the general theory, as well as a final discussion of the more advanced problems. Precise estimates and excursions into the theoretical background makes this workbook valuable to both the applied sciences and mathematics fields. As a bonus in its last chapter the book includes a collection of rare and useful pieces of literature, such as the summary of the Perturbation theory of Matrices.
Detailed illustrations, stimulating examples and exercises as well as a clear explanation of the underlying theory makes this workbook ideal for senior undergraduate and beginning graduate students in applied mathematics as well as science and engineering fields.
β¦ Table of Contents
Introduction....Pages 1-7
Basic Material....Pages 9-23
Approximation of Integrals....Pages 25-30
Boundary Layer Behaviour....Pages 31-42
Two-Point Boundary Value Problems....Pages 43-62
Nonlinear Boundary Value Problems....Pages 63-76
Elliptic Boundary Value Problems....Pages 77-91
Boundary Layers in Time....Pages 93-120
Evolution Equations with Boundary Layers....Pages 121-142
The Continuation Method....Pages 143-163
Averaging and Timescales....Pages 165-186
Advanced Averaging....Pages 187-226
Averaging for Evolution Equations....Pages 227-247
Wave Equations on Unbounded Domains....Pages 249-266
β¦ Subjects
Ordinary Differential Equations; Partial Differential Equations; Mathematical Methods in Physics; Dynamical Systems and Ergodic Theory; Numerical Analysis; Applications of Mathematics
π SIMILAR VOLUMES
Singular Perturbations and Boundary Laye
β Gung-Min Gie, Makram Hamouda, Chang-Yeol Jung, Roger M. Temam
π Library
π
2018
π Springer International Publishing
π English
<p><p></p><p>Singular perturbations occur when a small coefficient affects the highest order derivatives in a system of partial differential equations. From the physical point of view singular perturbations generate in the system under consideration thin layers located often but not always at the bo
Singular Perturbations and Boundary Laye
β C.M. Brauner, B. Gay, J. Mathieu
π Library
π
1977
π Springer
π English
Multiple Scale and Singular Perturbation
β J. Kevorkian, J. D. Cole (auth.)
π Library
π
1996
π Springer-Verlag New York
π English
Multiple scale and singular perturbation
β J Kevorkian; Julian D Cole
π Library
π
1996
π Springer
π English
Multiple Scale and Singular Perturbation
β J. Kevorkian, J. D. Cole (auth.)
π Library
π
1996
π Springer-Verlag New York
π English
<p>This book is a revised and updated version, including a substantial portion of new material, of our text Perturbation Methods in Applied Mathematics (SpringerΒ Verlag, 1981). We present the material at a level that assumes some familiarity with the basics of ordinary and partial differential equa