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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...
Numerical solution of a two-disk problem
Numerical solution control system and feedback compensator Fahrenheit convex programming numerical Fahrenheit programming
2015/8/12
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...
Numerical methods for H_2 related problems
Numerical convex programming quantity convex programming application
2015/8/12
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...
Numerical Solution of Generalized Abel’s Integral Equation by Variational Iteration Method
Variational Iteration Method Singular Integral Equation Abel’s Kernel
2013/1/30
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...
Numerical Modeling of the Measure of Global Environmental Needs with Applications Laser-LIDAR
Transmission Lasers Optical Propagation Atmospheric Effects
2013/1/30
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...
Numerical Approximations of A Nonlinear Eigenvalue Problem and Applications to A Density Functional Model
Eigenvalue Galerkin discretization nonlinear numerical approximation density func- tional orbital-free
2012/8/10
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...
Energy-conserving numerical methods for multi-symplectic Hamiltonian PDEs
Energy-conserving numerical methods Hamiltonian PDEs
2012/8/8
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...
Numerical Solution of the Fredholme-Volterra Integral Equation by the Sinc Function
Fredholme-Volterra Integral Equation Sinc Function Collocation Method
2013/1/30
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...
Numerical Analysis of Parallel Replica Dynamics
Numerical Analysis Parallel Replica Dynamics Numerical Analysis
2012/4/23
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...
A Numerical Study of Turbulent Flame Speeds of Curvature and Strain G-equations in Cellular Flows
Curvature/Strain G-equations Cellular Flows Front Speed Computation Enhancement and Quenching
2012/2/29
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 Improved Numerical Scheme for the Generalized Burgers—Huxley Equation
Burgers-Huxley Finite-Difference Method Modified Predictor-Corrector
2013/1/30
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...
Simplified non-Navier-Stokes model of turbulent flow and its first numerical realization in D2
Simplified non-Navier-Stokes model turbulent flow Numerical Analysis
2011/9/21
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...
A Haar-type Approximation and a New Numerical Schema for the Korteweg-de Vries Equation
KdV equation Haar wavelets potential fragmentation layer stripping Inverse Scattering Transform
2011/9/14
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...
Numerical Methods for Multilattices
atomistic model quasicontinuum method multilattice homogenization multiscale method
2011/9/14
Abstract: Among the efficient numerical methods based on atomistic models, the quasicontinuum (QC) method has attracted growing interest in recent years. The QC method was first developed for crystall...
Numerical Methods for Multilattices
atomistic model quasicontinuum method multilattice homogenization multiscale method
2011/9/14
Abstract: Among the efficient numerical methods based on atomistic models, the quasicontinuum (QC) method has attracted growing interest in recent years. The QC method was first developed for crystall...