Results 101 to 110 of about 1,916 (200)

Uniformly-convergent numerical methods for a system of coupled singularly perturbed convection–diffusion equations with mixed type boundary conditions

Mathematical Modelling and Analysis, 2013
In this paper, two hybrid difference schemes on the Shishkin mesh are constructed for solving a weakly coupled system of two singularly perturbed convection - diffusion second order ordinary differential equations subject to the mixed type boundary ...
Rajarammohanroy Mythili Priyadharshini, Narashimhan Ramanujam   +1 more
doaj   +1 more source

Structure and ferromagnetic instability of the oxygen-deficient SrTiO$_3$ surface

, 2015
SrTiO$_3$ (STO) is the substrate of choice to grow oxide thin-films and oxide heterojunctions, which can form quasi-two-dimensional electronic phases that exhibit a wealth of phenomena, and, thus, a workhorse in the emerging field of metal-oxide ...
Ghosh, Soham S., Manousakis, Efstratios
core   +1 more source

Nonstandard hybrid numerical scheme for singularly perturbed parabolic differential equations with large delay

Partial Differential Equations in Applied Mathematics
In this paper, a numerical scheme for a class of singularly perturbed delay parabolic convection–diffusion problems having Dirichlet boundary conditions is proposed. When the perturbation parameter tends to zero, the solution to these problems exhibits a
Zerihun Ibrahim Hassen, Gemechis File Duressa   +1 more
doaj   +1 more source

Numerics of singularly perturbed differential equations [PDF]

, 2014
The main purpose of this report is to carry out the effect of the various numerical methods for solving singular perturbation problems on non-uniform meshes.
Shakti, D
core  

Local Density Approximation Description of Electronic Properties of Wurtzite Cadmium Sulfide (w-CdS)

, 2010
We present calculated, electronic and related properties of wurtzite cadmium sulfide (w-CdS). Our ab-initio, non-relativistic calculations employed a local density functional approximation (LDA) potential and the linear combination of atomic orbitals ...
Bagayoko, D., Ekuma, E. C., Franklin, L., Wang, J. T., Zhao, G. L.   +4 more
core   +1 more source

Discrete Green functions of the SDFEM on Shishkin triangular meshes

, 2015
9 pages, 2 ...
openaire   +2 more sources

Uniform convergence on a Bakhvalov-type mesh using the preconditioning approach: Technical report [PDF]

, 2015
The linear singularly perturbed convection-diffusion problem in one dimension is considered and its discretization on a Bakhvalov-type mesh is analyzed. The preconditioning technique is used to obtain the pointwise convergence uniform in the perturbation
Nhan, Thái Anh, Vulanović, Relja
core   +2 more sources

Macro-element interpolation on tensor product meshes [PDF]

, 2014
A general theory for obtaining anisotropic interpolation error estimates for macro-element interpolation is developed revealing general construction principles.
Schopf, Martin
core  

A Uniformly Convergent Galerkin Method on a Shishkin Mesh for a Convection-Diffusion Problem

Journal of Mathematical Analysis and Applications, 1997
Two results on convergence uniform in the singular perturbation parameter are given for a singularly perturbed linear elliptic boundary value problem in two dimensions. Their error bounds are of order (i) \((\ln N/N)\) in a global energy norm and (ii) \((\ln N)^{3/2}/\sqrt N\) pointwise near the outflow boundary.
Stynes, Martin, O'Riordan, Eugene
openaire   +2 more sources

Implementation of Shishkin mesh in the modelling of spring-mass system

Sborník vědeckých prací Vysoké školy báňské-Technické univerzity Ostrava. Řada strojní (1992), 2010
In this article we analyze the model of spring-mass system with very large damping or very small mass as well as its numerical solution. In the first part of the work we derive the model with initial conditions and discuss the behavior of the exact solution.
Mujaković, Nermina, Dražić, Ivan, Barišić, Branimir   +2 more
openaire   +2 more sources