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Computational Methods in Applied Mathematics Volume 9 Issue 3

Subject Areas: Applied Mathematics; ;
Publisher: Walter de Gruyter - de Gruyter
ISSN: 1609-4840
SJR: 29

LitStream

Journal Article

Positive Definite Hankel Matrices Using Cholesky Factorization

Al-homidan, S.; Alshahrani, M.

2009 Computational Methods in Applied Mathematics

doi:10.2478/cmam-2009-0013

Abstract Real positive definite Hankel matrices arise in many important applications. They have spectral condition numbers which exponentially increase with their orders. We give a structural algorithm for finding positive definite Hankel matrices using the Cholesky factorization, compute it for...
LitStream

Journal Article

Ultraspherical Differentiation Method for Solving System of Initial Value Differential Algebraic Equations

El-kady, M.; Ibrahim, M.A.

2009 Computational Methods in Applied Mathematics

doi:10.2478/cmam-2009-0014

Abstract In this paper, we introduce a new spectral method based on ultraspherical polynomials for solving systems of initial value differential algebraic equations. Moreover, the suggested method is applicable for a wide range of differential equations. The method is based on a new investigation...
LitStream

Journal Article

A Macro-kinetic Hybrid Model for Traffic Flow on Road Networks

Herty, M.; Moutari, S.

2009 Computational Methods in Applied Mathematics

doi:10.2478/cmam-2009-0015

Abstract We have developed a new hybrid model for an heterogeneous traffic flow, based on a coupling of the Lighthill — Whitham and Richards (LWR) macroscopic model and the kinetic model. On the highways of a road network, we consider the macroscopic description of the traffic flow and switch to...
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Journal Article

Stability and Monotonicity of Difference Schemes for Nonlinear Scalar Conservation Laws and Multidimensional Quasi-linear Parabolic Equations

Matus, P.; Lemeshevsky, S.

2009 Computational Methods in Applied Mathematics

doi:10.2478/cmam-2009-0016

Abstract We have proved the difference analogue of a Bihari-type inequality. Using this inequality, we study the stability in C and monotonicity of the difference schemes approximating initial-boundary value problems for nonlinear conservation laws and multi-dimensional parabolic equations. It...
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Journal Article

Singularly Perturbed Convection — Diffusion Problems in One Dimension: Bounds on Derivatives

Naughton, A.; Stynes, M.

2009 Computational Methods in Applied Mathematics

doi:10.2478/cmam-2009-0017

Abstract A convection-dominated singularly perturbed two-point boundary problem is considered. For the numerical analysis of such problems, it is necessary to prove certain a priori bounds on the derivatives of its solution. This paper provides a survey of the ways in which such bounds can be...
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Journal Article

Numerical Treatments for Volterra Delay Integro-differential Equations

Rihan, F. A.; Doha, E. H.; Hassan, M. I.; Kamel, N. M.

2009 Computational Methods in Applied Mathematics

doi:10.2478/cmam-2009-0018

Abstract This paper presents a new technique for numerical treatments of Volterra delay integro-differential equations that have many applications in biological and physical sciences. The technique is based on the mono-implicit Runge — Kutta method for treating the differential part and the...
LitStream

Journal Article

Image Edge Respecting Denoising with Edge Denoising by a Designer Nonisotropic Structure Tensor Method

Santitissadeekorn, N.; Bollt, E.M.

2009 Computational Methods in Applied Mathematics

doi:10.2478/cmam-2009-0019

Abstract We consider image denoising as the problem of removing spurious oscillations due to noise while preserving edges in the images. We will suggest here how to directly make infinitesimal adjustment to standard variational methods of image denoising, to enhance desirable target assumption of...

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