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Scalable parallel algorithms for partial differential equations (PDEs) play a key role in computational science and engineering. As the number of processor cores in today's supercomputers grows rapidl...
Singularly perturbed systems of ordinary di erential equations arise in many biological, physical and chemical systems. We present an example of a singu- larly perturbed system of ordinary di erenti...
A multidisk problem in frequency domain control system synthesis is a problem in which the designer wishes to find a feedback compensator that minimizes the H_infty-norm of a certain transfer matrix r...
Recent results have shown that several H_2 and H_2-related problems can be formulated as convex programs with a finite number of variables. We present an interior point algorithm for the solution of t...
In this paper, a user friendly algorithm based on the variational iteration method (VIM) is proposed to solve singular integral equations with generalized Abel’s kernel. It is observed that an approxi...
The functions of Bessel are used extensively in the various problems of the science and the technology. A laser offers practical remote sensing technologies for measuring environmental changes on both...
In this paper, we study numerical approximations of a nonlinear eigenvalue problem and consider applications to a density functional model. We prove the convergence of numerical approximations. In p...
In this paper, the discrete gradient methods are investigated for ODEs with 痳st integral, and the recursive formula is presented for deriving the high-order numerical methods. We generalize the idea...
In this paper, we use the Sinc Function to solve the Fredholme-Volterra Integral Equations. By using collocation method we estimate a solution for Fredholme-Volterra Integral Equations. Finally conver...
Parallel replica dynamics is a method for accelerating the computation of processes characterized by a sequence of infrequent events. Such processes spend much of their time about the minima of an und...
We study front speeds of curvature and strain G-equations arising in turbulent combustion. These G-equations are Hamilton-Jacobi type level set partial differential equations (PDEs) with non-coercive ...
A fourth order finite-difference scheme in a two-time level recurrence relation is proposed for the numerical solution of the generalized Burgers--Huxley equation. The resulting nonlinear system, whic...
Abstract: This paper contains information about numerical realization of the model of turbulent flow proposed by Marek Burnat (see ARXIV: M.Burnat "On some mathematical model of turbulent flow with in...
Abstract: We discuss a new numerical schema for solving the initial value problem for the Korteweg-de Vries equation for large times. Our approach is based upon the Inverse Scattering Transform that r...

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