A Unified Approach to Boundary Value Problems
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Author(s): A. S. Fokas
Publisher: SIAM
ISBN: 9780898716511
Format: softback
336pp
Price: $75.00
Review Date: 21 November 2008
Review: This book provides a new approach to analysing initial boundary value problems for integrable linear partial differential equations (PDEs) in two dimensions. The author’s unique method is based on the inverse scattering transform. The book is divided into five parts: A new transform method for linear evolution equations; Analytic inversion of integrals; Novel integral representations for linear boundary value problems; Novel analytical and numerical methods for elliptic PDEs in a convex polygon; and Integrable nonlinear PDEs.