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A Unified Approach to Boundary Value Problems

Athanassios S. Fokas
Publisher: 
SIAM
Publication Date: 
2008
Number of Pages: 
336
Format: 
Paperback
Series: 
CBMS 78
Price: 
75.00
ISBN: 
9780898716511
Category: 
Monograph
We do not plan to review this book.

 


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

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