TRUNCATED COSINE FOURIER SERIES EXPANSION METHOD FOR SOLVING 2-D INVERSE SCATTERING PROBLEMS

Solving Inverse Scattering Problems Using Truncated Cosine Fourier Series Expansion Method

On the Fourier cosine series expansion method for stochastic control problems

We develop a method for solving stochastic control problems under one-dimensional Lévy processes. The method is based on the dynamic programming principle and a Fourier cosine expansion method. Local errors in the vicinity of the domain boundaries may disrupt the algorithm. An extensive error analysis provides new insights based on which we develop an extrapolation method to deal with the propa...

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

Posterior population expansion for solving inverse problems

Solving inverse problems in a complex, geologically realistic, and discrete model space and from a sparse set of observations is a very challenging task. Extensive exploration by Markov chain Monte Carlo (McMC) methods often results in considerable computational efforts. Most optimization methods, on the other hand, are limited to linear (continuous) model spaces and the minimization of an obje...

Numerical Method for Solving 3 D Inverse Problems of Geophysics

A numerical method is given to invert surface data for the refraction coefficient.