Description

Book Synopsis
A novel approach to analysing initial-boundary value problems for integrable partial differential equations (PDEs) in two dimensions, based on ideas of the inverse scattering transform that the author introduced in 1997. This method is unique in also yielding novel integral representations for linear PDEs. 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; 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.

A Unified Approach to Boundary Value Problems 78

    Product form

    £76.95

    Includes FREE delivery

    RRP £85.50 – you save £8.55 (10%)

    Order before 4pm today for delivery by Sat 27 Jun 2026.

    A Paperback by Athanassios S. Fokas

    20 in stock

      Trusted by thousands of customers. See 2,385+ Customer Reviews

      View other formats and editions of A Unified Approach to Boundary Value Problems 78 by Athanassios S. Fokas

      Publisher: Society for Industrial and Applied Mathematics
      Publication Date: 11/6/2008
      ISBN13: 9780898716511, 978-0898716511
      ISBN10: 0898716519
      Also in:
      Mathematics Applied mathematics

      Description

      Book Synopsis
      A novel approach to analysing initial-boundary value problems for integrable partial differential equations (PDEs) in two dimensions, based on ideas of the inverse scattering transform that the author introduced in 1997. This method is unique in also yielding novel integral representations for linear PDEs. 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; 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.

      Recently viewed products

      © 2026 Book Curl

        • American Express
        • Apple Pay
        • Diners Club
        • Discover
        • Google Pay
        • Maestro
        • Mastercard
        • PayPal
        • Shop Pay
        • Union Pay
        • Visa

        Login

        Forgot your password?

        Don't have an account yet?
        Create account