A Unified Approach To Boundary Value Problems

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· 제목 : A Unified Approach To Boundary Value Problems (Paperback)
· 분류 : 외국도서 > 과학/수학/생태 > 수학 > 미분방정식 > 미분방정식 일반
· ISBN : 9780898716511
· 쪽수 : 356쪽
· 출판일 : 2008-11-06

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