Surveys in Applied Mathematics: v. 1 downloadPDF, EPUB, MOBI
Surveys in Applied Mathematics: v. 1 downloadPDF, EPUB, MOBI
---------------------------------------------------------------
Author: Joseph B. Keller
Number of Pages: 276 pages
Published Date: 31 Aug 1995
Publisher: Springer Science+Business Media
Publication Country: N.Y, United States
Language: English
ISBN: 9780306449932
File Name: Surveys.in.Applied.Mathematics.v..1.pdf
Download Link: Surveys in Applied Mathematics v. 1
---------------------------------------------------------------
Partial differential equations play a central role in many branches of science and engineering. Therefore it is important to solve problems involving them. One aspect of solving a partial differential equation problem is to show that it is well-posed, i. e. , that it has one and only one solution, and that the solution depends continuously on the data of the problem. Another aspect is to obtain detailed quantitative information about the solution. The traditional method for doing this was to find a representation of the solution as a series or integral of known special functions, and then to evaluate the series or integral by numerical or by asymptotic methods. The shortcoming of this method is that there are relatively few problems for which such representations can be found. Consequently, the traditional method has been replaced by methods for direct solution of problems either numerically or asymptotically. This article is devoted to a particular method, called the "ray method," for the asymptotic solution of problems for linear partial differential equations governing wave propagation. These equations involve a parameter, such as the wavelength. . , which is small compared to all other lengths in the problem. The ray method is used to construct an asymptotic expansion of the solution which is valid near . . = 0, or equivalently for k = 21r I A near infinity.
Read online Surveys in Applied Mathematics: v. 1 Buy and read online Surveys in Applied Mathematics: v. 1 Download and read Surveys in Applied Mathematics: v. 1 ebook, pdf, djvu, epub, mobi, fb2, zip, rar, torrent Download to iPad/iPhone/iOS, B&N nook Surveys in Applied Mathematics: v. 1 ebook, pdf, djvu, epub, mobi, fb2, zip, rar, torrent
Tetrobot : A Modular Approach to Reconfigurable Parallel Robotics epub
Surveys in Applied Mathematics: v. 1 by Joseph B. Keller
Author: Joseph B. Keller
Number of Pages: 276 pages
Published Date: 31 Aug 1995
Publisher: Springer Science+Business Media
Publication Country: N.Y, United States
Language: English
ISBN: 9780306449932
File Name: Surveys.in.Applied.Mathematics.v..1.pdf
Download Link: Surveys in Applied Mathematics v. 1
---------------------------------------------------------------
Partial differential equations play a central role in many branches of science and engineering. Therefore it is important to solve problems involving them. One aspect of solving a partial differential equation problem is to show that it is well-posed, i. e. , that it has one and only one solution, and that the solution depends continuously on the data of the problem. Another aspect is to obtain detailed quantitative information about the solution. The traditional method for doing this was to find a representation of the solution as a series or integral of known special functions, and then to evaluate the series or integral by numerical or by asymptotic methods. The shortcoming of this method is that there are relatively few problems for which such representations can be found. Consequently, the traditional method has been replaced by methods for direct solution of problems either numerically or asymptotically. This article is devoted to a particular method, called the "ray method," for the asymptotic solution of problems for linear partial differential equations governing wave propagation. These equations involve a parameter, such as the wavelength. . , which is small compared to all other lengths in the problem. The ray method is used to construct an asymptotic expansion of the solution which is valid near . . = 0, or equivalently for k = 21r I A near infinity.
Read online Surveys in Applied Mathematics: v. 1 Buy and read online Surveys in Applied Mathematics: v. 1 Download and read Surveys in Applied Mathematics: v. 1 ebook, pdf, djvu, epub, mobi, fb2, zip, rar, torrent Download to iPad/iPhone/iOS, B&N nook Surveys in Applied Mathematics: v. 1 ebook, pdf, djvu, epub, mobi, fb2, zip, rar, torrent
Similar posts:
Download ebook L'Institut. Section 1 : Sciences Math Matiques, Physiques Et Naturelles, Volume 31...Tetrobot : A Modular Approach to Reconfigurable Parallel Robotics epub