The Lagrange-Galerkin spectral element method for the two-dimensional shallow water equations is presented. The equations are written in conservation form and the domains are discretized using quadrilateral elements. Lagrangian methods integrate the governing equations along the characteristic curves, thus being well suited for resolving the nonlinearities introduced by the advection operator o...

Let G and H be graphs. The strong product GH of graphs G and H is the graph with vertex set V(G)V(H) and u=(u1, v1) is adjacent with v= (u2, v2) whenever (v1 = v2 and u1 is adjacent with u2) or (u1 = u2 and v1 is adjacent with v2) or (u1 is adjacent with u2 and v1 is adjacent with v2). In this paper, we first collect the earlier results about strong product and then we present applications of ...

Tn916 is a broad host range tetracycline resistance conjugative transposon. In most bacteria, this element enters the bacterial genome at multiple sites. However, in Clostridium difficile, the element has a strong hot spot when introduced by filter mating from Bacillus subtilis. In this work, the DNA sequence of the preferred insertion site (att916) was obtained. An environmental isolate of C. ...

we introduce a general implicit algorithm for finding a common element of‎ ‎the set of solutions of systems of equilibrium problems and the set of common fixed points‎ ‎of a sequence of nonexpansive mappings and a continuous representation of nonexpansive mappings‎. ‎then we prove the strong convergence of the proposed implicit scheme to the unique solution of the minimization problem on the so...

Introduction: Low back pain is the most prevalent orthopedic disorder and the first main cause of poor working functionality in developed as wells as many developing countries. In Absence of noninvasive in vivo measurement approaches, biomechanical models are used to estimate mechanical loads on human joints during physical activities. To estimate joint loads via musculoskelet...

The catalase-encoding gene (catB) is expressed strongly in Aspergillus oryzae. To identify the transcription regulatory elements involved in strong expression, we did promoter deletion analysis using beta-glucuronidase (GUS) as a reporter and an electrophoretic gel mobility shift assay (EMSA) systematically. The deletion 200-bp sequence from -1,000 to -800 in the 1,400-bp catB promoter caused a...

In this paper, we introduce the extragradient method for finding a common element of the set of solutions of generalized mixed equilibrium problem, the set of common fixed point of family of nonexpansive mappings the set of variational inequality for monotone, Lipschitz continuous mapping in a Hilbert space. Then we prove the strong convergence of iterative algorithm to a common element of this...

In the last five years, the scientific computing community has taken great interest in the so-called stochastic Galerkin schemes (SGS). These schemes are typically used to address the following type of problem: Suppose that I have a deterministic differential equation model for which I can find an approximate solution using standard numerical discretization techniques. Now suppose that, in an a...

In a preceding paper, we proved the discrete compactness properties of Rellich type for some 2D discontinuous Galerkin finite element methods (DGFEM), that is, the strong L2 convergence of some subfamily of finite element functions bounded in an H1-like mesh-dependent norm. In this note, we will show the strong Lp convergence of the above subfamily for 1 ≤ p < ∞. To this end, we will utilize th...