: Society for Industrial and Applied Mathematics(siam)
Date of Publication, Distribution, etc.
, 2008.
PHYSICAL DESCRIPTION
Specific Material Designation and Extent of Item
xv, 336 p.
Other Physical Details
: ill. (some col.)
SERIES
Series Title
(CBMS-NSF regional conference series in applied mathematics
Volume Designation
; 78)
NOTES PERTAINING TO PUBLICATION, DISTRIBUTION, ETC.
Text of Note
Print
INTERNAL BIBLIOGRAPHIES/INDEXES NOTE
Text of Note
Bibliography
EXTERNAL INDEXES/ABSTRACTS/REFERENCES NOTE
Name of source
Index
CONTENTS NOTE
Text of Note
A new transform method for linear evolution equations -- Evolution equations on the half line -- Evolution equations on the finite interval -- Asymptotics and a novel numerical technique -- Analytical inversion of integrals -- From PDEs to classical transforms -- Riemann-Hilbert and d-bar problems -- The Fourier transform and its variations -- The inversion of the attenuated radon transform and medical imaging -- The Dirichlet to Neumann map for a moving boundary -- Novel integral representations for linear boundary value problems -- Divergence formulation, the global relation, and lax pairs -- Rederivation of the integral representations on the half-line and the finite interval -- The basic elliptic PDEs in a polygonal domain -- Novel analytical and numerical methods for elliptic PDEs in a convex polygon -- The new transform method for elliptic PDEs in simple polygonal domains -- Formulation of Riemann-Hilbert problems -- A collocation method in the Fourier plane -- Integrable nonlinear PDEs -- From linear to integrable nonlinear PDEs -- Nonlinear integrable PDEs on the half-line -- Linearizable boundary conditions -- The generalized Dirichlet to Neumann map -- Asymptotics of oscillatory Riemann-Hilbert problems. This text presents a new approach to analysing initial-boundary value problems for integrable partial differential equations.