A Unified Approach to Boundary Value Problems - CBMS-NSF Regional Conference Series No. 78 (Paperback)
  • A Unified Approach to Boundary Value Problems - CBMS-NSF Regional Conference Series No. 78 (Paperback)
zoom

A Unified Approach to Boundary Value Problems - CBMS-NSF Regional Conference Series No. 78 (Paperback)

(author)
£81.95
Paperback 351 Pages / Published: 30/08/2008
  • Not available

This product is currently unavailable.

  • This item has been added to your basket
Presents a new approach to analyzing initial-boundary value problems for integrable partial differential equations (PDEs) in two dimensions, a method that the author first introduced in 1997 and which is based on ideas of the inverse scattering transform. This method is unique in also yielding novel integral representations for the explicit solution of linear boundary value problems, which include such classical problems as the heat equation on a finite interval and the Helmholtz equation in the interior of an equilateral triangle. The author's thorough introduction allows the interested reader to quickly assimilate the essential results of the book, avoiding many computational details. Several new developments are addressed in the book, including a new transform method for linear evolution equations on the half-line and on the finite interval; analytical inversion of certain integrals such as the attenuated radon transform and the Dirichlet-to-Neumann map for a moving boundary; analytical and numerical methods for elliptic PDEs in a convex polygon; and integrable nonlinear PDEs. An epilogue provides a list of problems on which the author's new approach has been used, offers open problems, and gives a glimpse into how the method might be applied to problems in three dimensions. Several new developments are addressed in the book, including:* A new transform method for linear evolution equations on the half-line and on the finite interval.* Analytical inversion of certain integrals such as the attenuated Radon transform and the Dirichlet-to-Neumann map for a moving boundary.* Integral representations for linear boundary value problems.* Analytical and numerical methods for elliptic PDEs in a convex polygon.* Integrable nonlinear PDEs.

Publisher: Society for Industrial & Applied Mathematics,U.S.
ISBN: 9780898716511
Number of pages: 351
Weight: 560 g
Dimensions: 229 x 152 x 15 mm

You may also be interested in...

The Cartoon Guide to Calculus
Added to basket
MEI Differential Equations Third Edition
Added to basket
Thomas' Calculus in SI Units
Added to basket
Mathematical Analysis
Added to basket
Fundamentals of Mathematical Analysis
Added to basket
Measurements and their Uncertainties
Added to basket
Schaum's Outline of Calculus
Added to basket
Schaums Outline of Tensor Calculus
Added to basket
Calculus
Added to basket
£10.99
Paperback
How to Think About Analysis
Added to basket

Reviews

Please sign in to write a review

Your review has been submitted successfully.