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A Unified Approach to Boundary Value Problems

Publisher: 
SIAM
Number of Pages: 
336
Price: 
75.00
ISBN: 
9780898716511
Date Received: 
Thursday, October 9, 2008
Reviewable: 
No
Include In BLL Rating: 
No
Reviewer Email Address: 
Athanassios S. Fokas
Series: 
CBMS 78
Publication Date: 
2008
Format: 
Paperback
Category: 
Monograph

 


Preface;
Introduction;
Chapter 1: Evolution Equations on the Half-Line;
Chapter 2: Evolution Equations on the Finite Interval;
Chapter 3: Asymptotics and a Novel Numerical Technique;
Chapter 4: From PDEs to Classical Transforms;
Chapter 5: Riemann–Hilbert and d-Bar Problems;
Chapter 6: The Fourier Transform and Its Variations;
Chapter 7: The Inversion of the Attenuated Radon Transform and Medical Imaging;
Chapter 8: The Dirichlet to Neumann Map for a Moving Boundary;
Chapter 9: Divergence Formulation, the Global Relation, and Lax Pairs;
Chapter 10: Rederivation of the Integral Representations on the Half-Line and the Finite Interval;
Chapter 11: The Basic Elliptic PDEs in a Polygonal Domain;
Chapter 12: The New Transform Method for Elliptic PDEs in Simple Polygonal Domains;
Chapter 13: Formulation of Riemann–Hilbert Problems;
Chapter 14: A Collocation Method in the Fourier Plane;
Chapter 15: From Linear to Integrable Nonlinear PDEs;
Chapter 16: Nonlinear Integrable PDEs on the Half-Line;
Chapter 17: Linearizable Boundary Conditions;
Chapter 18: The Generalized Dirichlet to Neumann Map;
Chapter 19: Asymptotics of Oscillatory Riemann–Hilbert Problems;
Epilogue;
Bibliography;
Index
Publish Book: 
Modify Date: 
Friday, January 13, 2012

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