Asymptotic Analysis: From Theory to Application
β Scribed by J. Mauss (auth.), Ferdinand Verhulst (eds.)
- Publisher
- Springer-Verlag Berlin Heidelberg
- Year
- 1979
- Tongue
- English
- Leaves
- 244
- Series
- Lecture Notes in Mathematics 711
- Edition
- 1
- Category
- Library
No coin nor oath required. For personal study only.
β¦ Table of Contents
On matching principles....Pages 1-8
Singular perturbations of spectra....Pages 9-32
Feed-back control of singularly perturbed heating problems....Pages 33-62
Singular perturbation methods in a one-dimensional free boundary problem....Pages 63-75
Bifurcation analysis of a non linear free boundary problem from plasma physics....Pages 76-93
Asymptotic approximations in magneto-hydrcdynamic singular perturbation problems....Pages 94-124
Boundary layers in large scale ocean circulation....Pages 125-145
Asymptotic methods for the Volterra-Lotka equations....Pages 146-157
Small random perturbations of dynamical systems with applications in population genetics....Pages 158-175
The description of jumps between Kepler orbits by boundary layer methods....Pages 176-186
The 1:2:1-resonance, its periodic orbits and integrals....Pages 187-208
Approximations of higher order resonances with an application to Contopoulos' model problem....Pages 209-228
On the asymptotic validity of perturbation methods for hyperbolic differential equations....Pages 229-240
β¦ Subjects
Mathematics, general
π SIMILAR VOLUMES
<p><p>The prime goal of this monograph, which comprises a total of five volumes, is to derive sharp spectral asymptotics for broad classes of partial differential operators using techniques from semiclassical microlocal analysis, in particular, propagation of singularities, and to subsequently use t
This book is a survey of asymptotic methods set in the current applied research context of wave propagation. It stresses rigorous analysis in addition to formal manipulations. Asymptotic expansions developed in the text are justified rigorously, and students are shown how to obtain solid error estim