<span>In this paper we shall discuss the construction of formal short-wave asympยญ totic solutions of problems of mathematical physics. The topic is very broad. It can somewhat conveniently be divided into three parts: 1. Finding the short-wave asymptotics of a rather narrow class of problems, which
Partial Differential Equations V: Asymptotic Methods for Partial Differential Equations (Encyclopaedia of Mathematical Sciences) (v. 5)
โ Scribed by M.V. Fedoryuk, M.V. Fedoryuk, J.S. Joel, S.A. Wolf, V.M. Babich, N.S. Bakhvalov, A.M. Il'in, V.F. Lazutkin, G. Panasenko, A.L. Shtaras, B.R. Vainberg
- Publisher
- Springer
- Year
- 2001
- Tongue
- English
- Leaves
- 254
- Edition
- 1
- Category
- Library
No coin nor oath required. For personal study only.
โฆ Synopsis
The six articles in this EMS volume provide an overview of a number of contemporary techniques in the study of the asymptotic behavior of partial differential equations. These techniques include the Maslov canonical operator, semiclassical asymptotics of solutions and eigenfunctions, behavior of solutions near singular points of different kinds, matching of asymptotic expansions close to a boundary layer, and processes in inhomogeneous media. Asymptotic expansions are one of the most important areas in the theory of partial differential equations. Readers should find the wide variety of approaches of interest.
๐ SIMILAR VOLUMES
The six articles in this EMS volume provide an overview of a number of contemporary techniques in the study of the asymptotic behavior of partial differential equations. These techniques include the Maslov canonical operator, semiclassical asymptotics of solutions and eigenfunctions, behavior of sol
The six articles in this EMS volume provide an overview of a number of contemporary techniques in the study of the asymptotic behavior of partial differential equations. These techniques include the Maslov canonical operator, semiclassical asymptotics of solutions and eigenfunctions, behavior of so
<p>The numerical treatment of partial differential equations with particle methods and meshfree discretization techniques is an extremely active research field, both in the mathematics and engineering communities. Meshfree methods are becoming increasingly mainstream in various applications. Due to