Nonlocal independent pixel approximation: direct and inverse problems

A Relaxed Extra Gradient Approximation Method of Two Inverse-Strongly Monotone Mappings for a General System of Variational Inequalities, Fixed Point and Equilibrium Problems

Application of Traditional and Novel Cloud Property Retrieval Techniques on Landsat TM Data over SGP

With the recognition in recent years of the influence of three-dimensional (3-D) radiative transfer on cloud optical property retrievals, interest in the measurements of the Thematic Mapper (TM) radiometer aboard the Landsat satellite has been renewed. This instrument provides a unique high-resolution data set where the effects of 3-D cloud structure are expected to be prominent. The purpose of...

Microlocal Analysis of a Seismic Linearized Inverse Problem.

Microlocal analysis of a seismic linearized inverse problem. Abstract: The seismic inverse problem is to determine the wavespeed c(x) in the interior of a medium from measurements at the boundary. In this paper we analyze the linearized inverse problem in general acoustic media. The problem is to nd a left inverse of the linearized forward map F, or, equivalently, to nd the inverse of the norma...

Solving an inverse problem for a parabolic equation with a nonlocal boundary condition in the reproducing kernel space

On the basis of a reproducing kernel space, an iterative algorithm for solving the inverse problem for heat equation with a nonlocal boundary condition is presented. The analytical solution in the reproducing kernel space is shown in a series form and the approximate solution vn is constructed by truncating the series to n terms. The convergence of vn to the analytical solution is also proved. ...

Perturbative analysis of generally nonlocal spatial optical solitons.

In analogy to a perturbed harmonic oscillator, we calculate the fundamental and some other higher order soliton solutions of the nonlocal nonlinear Schödinger equation (NNLSE) in the second approximation in the generally nonlocal case. Comparing with numerical simulations we show that soliton solutions in the second approximation can describe the generally nonlocal soliton states of the NNLSE m...