Overlapping balancing domain decomposition methods and their combination with restricted additive Schwarz methods are proposed for the Helmholtz equation. These new methods also extend previous work on non-overlapping balancing domain decomposition methods toward simplifying their coarse problems and local solvers. They also extend restricted Schwarz methods, originally designed to overlapping ...

most geologic changes have a seismic response but sometimes this is expressed only in certain spectral ranges hidden within the broadband data. spectral decomposition is one of the methods which can be utilized to help interpreting such cases. there are several time-frequency methods including: short-time fourier transform (stft), continuous wavelet transform (cwt), wigner-ville distribution (w...

The work  addressed in this paper is a comparative study between convergence of the  acceleration techniques, diagonal pad'{e} approximants and shanks transforms, on Homotopy analysis method  and Adomian decomposition method for solving  differential equations of integer and fractional orders.

Although autonomous mobile robots have been increasingly popular in a known workspace, but they face the challenging task of operation in an unknown workspace. This paper presents a sensor-based image matching for online cell decomposition to plan coverage path-that provides a mobile robot one of suitable complete coverage of an unknown rectilinear workspace. Authors develop a new method for ce...

In this paper, based on findings from situated cognition, we argue that human reasoning is characterized by an ability to dynamically re-organize knowledge available in an experience, and re-construct it for use within the same experience. This paper describes a computational method that models such a knowledge re-organization process. We show its application on the Design Structure Matrix (DSM...

In this paper, fault location in large analog networks by decomposition method is generalized to include subnetworks not explicitly testable. Assume that the network topology and nominal values of network components are known and the network-undertest is partitioned into subnetworks once for all. The decomposition nodes could be either the accessible nodes whose nodal voltages can be measured o...

Nonlinear coupled partial differential equations are physical problems since it makes the unnecessary very important in a variety of scientific fields. They arise linearization, perturbation problem being solved. in large number of mathematical and engineering In this study, the ADM is extended to problems, especially in fluid mechanics, solid state analytic-numeric simulation for strictly hype...

We introduced an application of the decomposition of a group into cosets of a subgroup to the theory of error detecting and correcting codes. The proposed approach is based on the general method for decoding linear codes known as syndrome decoding. Mathematics Subject Classification: 20A05; 20B05; 20B40

We present in this paper a new method to determine the k largest singular values and their corresponding singular vectors for real rectangular matrices A ∈ Rn×m. Our approach is based on using a block version of the Power Method to compute an k-block SV D decomposition: Ak = UkΣkV T k , where Σk is a diagonal matrix with the k largest non-negative, monotonically decreasing diagonal σ1 ≥ σ2 · · ...