Application of Skeletonization-Based Method in Solving Inverse Scattering Problems

Numerical Method for Solving 30 Inverse Scattering Problems

Let q(z) E L'(D), D C R3 is a bounded domain, q = 0 outside D, (I is real-valued. Assume that

Application of Inverse Scattering Method to Problems of Differential Geometry

This article presents, in a brief form, the recent results on application of the Inverse scattering method to some problems of Differential geometry. A connection between the theory of Integrable systems and Differential geometry is not a new concept. The Sine–Gordon equation was introduced in the theory of surfaces of constant negative curvature around 1860. Actually, it should be called the “...

Inverse scattering problems and the enclosure method

We show that the enclosure method introduced here is applicable to inverse scattering problems in two dimensions. Using the single set of the Cauchy data of a solution of the Helmholtz equation, we give some formulae for extracting the value of the support functions of unknown sound-hard polygonal obstacles and piecewise linear cracks from the set. AMS: 35R30

Solving Inverse Scattering Problems Using Truncated Cosine Fourier Series Expansion Method

sparsity-based denoising and its application in linear inverse problems

generally, the presence of noise in geophysical measurements is inevitable and depending on the type and the level it affects the results of geophysical studies. so, denoising is an important part of the processing of geophysical data. on the other hand, geophysicists make inferences about the physical properties of the earth interior based on the indirect measurements (data) collected at or ne...