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080408s2008 paua b 001 0 eng |
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|a 2008016185
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|a 9780898716511
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|a 0898716519
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|a 12519057
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|a (OCoLC)ocn222250960
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|a (OCoLC)222250960
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|a (BNAtoc) 2008016185
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|a (Nz)12519057
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|a DLC
|c DLC
|d BTCTA
|d BAKER
|d OCLCG
|d YDXCP
|d C#P
|d BWX
|d CDX
|d IXA
|d OCoLC
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| 050 |
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|a QA379
|b .F65 2008
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|a 515/.35
|2 22
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| 097 |
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|3 Bib#:
|a 1146123
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| 100 |
1 |
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|a Fokas, A. S.,
|d 1952-
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| 245 |
1 |
2 |
|a A unified approach to boundary value problems /
|c Athanassios S. Fokas.
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| 260 |
|
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|a Philadelphia, PA :
|b Society for Industrial and Applied Mathematics,
|c c2008.
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| 300 |
|
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|a xv, 336 p. :
|b ill. (some col.) ;
|c 25 cm.
|
| 440 |
|
0 |
|a CBMS-NSF regional conference series in applied mathematics ;
|v 78
|
| 504 |
|
|
|a Includes bibliographical references (p. 321-333) and index.
|
| 505 |
0 |
0 |
|g I.
|t A New Transform Method for Linear Evolution Equations --
|g 1.
|t Evolution Equations on the Half-Line --
|g 2.
|t Evolution Equations on the Finite Interval --
|g 3.
|t Asymptotics and a Novel Numerical Technique --
|g II.
|t Analytical Inversion of Integrals --
|g 4.
|t From PDEs to Classical Transforms --
|g 5.
|t Riemann-Hilbert and d-Bar Problems --
|g 6.
|t The Fourier Transform and Its Variations --
|g 7.
|t The Inversion of the Attenuated Radon Transform and Medical Imaging --
|g 8.
|t The Dirichlet to Neumann Map for a Moving Boundary --
|g III.
|t Novel Integral Representations for Linear Boundary Value Problems --
|g 9.
|t Divergence Formulation, the Global Relation, and Lax Pairs --
|g 10.
|t Rederivation of the Integral Representations on the Half-Line and the Finite Interval --
|g 11.
|t The Basic Elliptic PDEs in a Polygonal Domain --
|g IV.
|t Novel Analytical and Numerical Methods for Elliptic PDEs in a Convex Polygon --
|g 12.
|t The New Transform Method for Elliptic PDEs in Simple Polygonal Domains --
|g 13.
|t Formulation of Riemann-Hilbert Problems --
|g 14.
|t A Collocation Method in the Fourier Plane --
|g V.
|t Integrable Nonlinear PDEs --
|g 15.
|t From Linear to Integrable Nonlinear PDEs --
|g 16.
|t Nonlinear Integrable PDEs on the Half-Line --
|g 17.
|t Linearizable Boundary Conditions --
|g 18.
|t The Generalized Dirichlet to Neumann Map --
|g 19.
|t Asymptotics of Oscillatory Riemann-Hilbert Problems.
|
| 520 |
|
|
|a "This book presents a new approach to analyzing initial-boundary value problems for integrable partial differential equations (PDEs) in two dimensions, a method that the author first introduced in 1997 and which is based on ideas of the inverse scattering transform. This method is unique in also yielding novel integral representations for the explicit solution of linear boundary value problems, which include such classical problems as the heat equation on a finite interval and the Helmholtz equation in the interior of an equilateral triangle." "A Unified Approach to Boundary Value Problems is appropriate for courses in boundary value problems at the advanced undergraduate and first-year graduate levels. Applied mathematicians, engineers, theoretical physicists, mathematical biologists, and other scholars who use PDEs will also find the book valuable"--Book jacket.
|
| 650 |
|
0 |
|a Boundary value problems.
|
| 991 |
|
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|a 2009-10-13
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| 992 |
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|a Created by julew, 13/10/2009. Updated by gewh, 11/01/2010.
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| 999 |
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|i e151aa93-d547-5d2d-a736-9b9d5db89d47
|s 4f3d64a9-7039-542c-ba48-335c74d3a0b0
|t 0
|
| 952 |
f |
f |
|p For loan
|a University Of Canterbury
|b UC Libraries
|c EPS Library
|d EPS Library, Level 2
|t 0
|e QA 379 .F652 2008
|h Library of Congress classification
|i Book
|m AU17023637B
|
