[图书][B] An introduction to inverse scattering and inverse spectral problems

K Chadan, D Colton, L Päivärinta, W Rundell - 1997 - SIAM
In my view the theory of inverse problems is one of the most attractive parts of applied
mathematics. This is due to many different factors. An important reason is that I began my …

[引用][C] Introduction to the special issue on inverse problems

KJ Langenberg - Wave Motion, 1989 - Elsevier
The present Special Issue on Inverse Problems consists of five invited papers, which
basically refer to the solution of nonlinear inverse wave scattering problems. So far, the …

[图书][B] Inverse spectral theory

J Poschel - 1987 - books.google.com
This book is based on lectures given during the winter semester of 1980 at the Courant
Institute of Mathematical Sciences in New York and during the winter semester of 1981 at …

[PDF][PDF] An inverse scattering problem

AB Shabat - Diff. Equations, 1979 - cmap.polytechnique.fr
Inverse scattering problem Page 1 Inverse scattering problem AB Shabat MIPT · 14
September 2016 Page 2 Introduction ψxx = (q(x) + k2) ψ, q = p , p ∈ BV, supp q ⋐ R ψ(x, k) …

[图书][B] Inverse problems in scattering: An introduction

GML Gladwell - 2012 - books.google.com
Inverse Problems in Scattering exposes some of the mathematics which has been
developed in attempts to solve the one-dimensional inverse scattering problem. Layered …

[图书][B] Inverse problems and inverse scattering of plane waves

DN Roy, LS Couchman - 2001 - books.google.com
The purpose of this text is to present the theory and mathematics of inverse scattering, in a
simple way, to the many researchers and professionals who use it in their everyday …

[图书][B] Inside out: inverse problems and applications

G Uhlmann - 2003 - books.google.com
Inverse problems arise in practical situations like geophysical exploration, medical imaging,
and nondestructive evaluation, where measurements made on the exterior of a body are …

The Marchenko and Gel'fand-Levitan methods in the inverse scattering problem in one and three dimensions

RG Newton - Conference on inverse scattering: theory and …, 1983 - books.google.com
This paper reviews the Marchenko and Gel'fand-Levitan approaches to inverse scattering
problems in one and three dimensions. It also contains general remarks on the nature of …

Operator methods for inverse scattering on the real line

A Melin - Communications in partial differential equations, 1985 - Taylor & Francis
Operator methods for inverse scattering on the real line Page 1 COMM. IN PARTIAL
DIFFERENTIAL EQUATIONS, 10(7), 677-766 (1985) OPERATOR METHODS FOR INVERSE …

Lectures on the inverse scattering transform

MJ Ablowitz - Studies in Applied Mathematics, 1978 - Wiley Online Library
In 1967 a new method of mathematical physics was discovered by Gardner, Greene,
Kruskal, and Miura. Their significant results have received much attention, and numerous …