A new homogenization technique, the temperature-related Cauchy–Born (TCB) rule, is proposed in this paper with the consideration of the free energy instead of the potential energy. Therefore, temperature effects at the nanoscale can be investigated using continuum approximation with the implementation of the TCB rule. The TCB rule is verified via stress analyses of several crystalline solids. T...

In this paper the meshfree method is developed to solve the forward problem for electrical impedance tomography. Differing from finite element method and finite volume method, there is no mesh generation in meshfree method, which is easier to realize and more propitious to be developed as an adaptive procedures for image reconstruction. Numerical simulation results are presented and compared wi...

In this paper and its sequels, we introduce and analyze a new class of methods, collectively called the reproducing kernel element method (RKEM). The central idea in the development of the new method is to combine the strengths of both finite element methods (FEM) and meshfree methods. Two distinguished features of RKEM are: the arbitrarily high order smoothness and the interpolation property o...

in this paper, we will present a review of the multistep collocation method for delay volterra integral equations (dvies) from [1] and then, we study the superconvergence analysis of the multistep collocation method for dvies. some numerical examples are given to confirm our theoretical results.

Much of the current focus in high performance computing (HPC) for computational fluid dynamics (CFD) deals with grid based methods. However, parallel implementations for new meshfree particle methods such as Smoothed Particle Hydrodynamics (SPH) are less studied. In this work, we present optimizations for both central processing unit (CPU) and graphics processing unit (GPU) of a SPH method. The...

A new solution method for stochastic differential equations via collocation approach Ali R. Soheili & F. Soleymani To cite this article: Ali R. Soheili & F. Soleymani (2016) A new solution method for stochastic differential equations via collocation approach, International Journal of Computer Mathematics, 93:12, 2079-2091, DOI: 10.1080/00207160.2015.1085029 To link to this article: http://dx.do...

This paper investigates the task of noun compound interpretation, building on the sense collocation approach proposed by Moldovan et al. (2004). Our primary task is to evaluate the impact of similar words on the sense collocation method, and decrease the sensitivity of the classifiers by expanding the range of sense collocations via different semantic relations. Our method combines hypernyms, h...

This work focuses on semi-automatic extraction of verb-noun collocations from a corpus, performed to provide lexical evidence for the manual lexicographical processing of Support Verb Constructions (SVCs) in the Swedish-Czech Combinatorial Valency Lexicon of Predicate Nouns. Efficiency of pure manual extraction procedure is significantly improved by utilization of automatic statistical methods ...

Article history: Received 10 March 2014 Received in revised form 12 November 2014 Accepted 1 December 2014 Available online 9 December 2014

The problem of the boundary layer flow of an incompressible viscous fluid over a non-linear stretching sheet is considered. A spectral collocation method is performed in order to find an analytical solution of the governing nonlinear differential equations. The obtained results are finally compared through the illustrative graphs and tables with the exact solution and some well-known results ob...