We present a convergence analysis for the implicit-explicit (IMEX) Euler discretization of nonlinear evolution equations. The governing vector field of such an equation is assumed to be the sum of an unbounded dissipative operator and a Lipschitz continuous perturbation. By employing the theory of dissipative operators on Banach spaces, we prove that the IMEX Euler and the implicit Euler scheme...

A numerical method is presented to solve a two-dimensional hyperbolic diffusion problem where is assumed that both convection and diffusion are responsible for flow motion. Since direct solutions based on implicit schemes for multidimensional problems are computa-tionally inefficient, we apply an alternating direction method which is second order accurate in time and space. The stability of the...

This paper discusses an approach for supporting SPMD (single-program, multiple-data) execution of programs with pointer-based data structures on distributed-memory machines. Through a combination of language design and new compilation techniques, static and dynamic implicit parallelism present in sequential programs based upon pointer-based data structures is exploited. Language support is prov...

The present work explores a new method of integrated detection, localization, and tracking of multiple broadband signals directly from array data, without the requirement of distinct data association. The method is based on Maximum A-Posteriori probability concepts and combines Maximum Likelihood direction finding techniques with Kalman Filter theory. Implicit data association is given by a Non...

In this paper two sequential algorithms for learning analysis operators are presented. They are built upon the same optimisation principle underlying both Analysis K-SVD and Analysis SimCO and use a stochastic gradient descent approach similar to ASimCO. The sequential analysis operator learning (SAOL) algorithm is based on projected gradient descent with an appropriately chosen step size while...

We propose a method of partitioning the set of all ip-ops in a circuit for multiple clock testing. In the multiple clock testing, ip-ops are partitioned into diierent groups and each group of ip-ops has an independent clock control. In our method, we use a test generator assuming an independent clock control for each ip-op. We than determine correlation between clock activity for all pairs of i...

Today, with the growth of technology, monitoring processes by the use of video and satellite sensors have been more expanded, due to their rich and valuable information. Recently, some researchers have used sequential images for image defect detection because a single image is not sufficient for process monitoring. In this paper, by adding the time dimension to the image-based process monitorin...

in this paper, we propose a new method for solving the stochastic advection-diffusion equation of ito type. in this work, we use a compact finite difference approximation for discretizing spatial derivatives of the mentioned equation and semi-implicit milstein scheme for the resulting linear stochastic system of differential equation. the main purpose of this paper is the stability investigatio...