Results 41 to 50 of about 1,916 (200)

Asymptotic and numerical methods for solving singularly perturbed differential difference equations with mixed shifts [PDF]

Iranian Journal of Numerical Analysis and Optimization, 2022
This article deals with an effcient approximation method named successive complementary expansion method (SCEM) for solving singularly perturbed differential-difference equations with mixed shifts.
S. Priyadarshana, S.R. Sahu, J. Mohapatra   +2 more
doaj   +1 more source

HP-multigrid as smoother algorithm for higher order discontinuous Galerkin discretizations of advection dominated flows. Part II. Optimization of the Runge-Kutta smoother [PDF]

, 2011
Using a detailed multilevel analysis of the complete hp-Multigrid as Smoother algorithm accurate predictions are obtained of the spectral radius and operator norms of the multigrid error transformation operator.
Rhebergen, S., Vegt, J.J.W. van der
core   +4 more sources

Some numerical experiments with multigrid methods on Shishkin meshes

Journal of Computational and Applied Mathematics, 2002
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Gaspar, F.J., Clavero, C., Lisbona, F.
openaire   +2 more sources

An efficient numerical approach for solving singularly perturbed parabolic differential equations with large negative shift and integral boundary condition

Applied Mathematics in Science and Engineering, 2023
In this study, we consider singularly perturbed large negative shift parabolic reaction–diffusion with integral boundary condition. The continuous solution's properties are discussed.
Wakjira Tolassa Gobena, Gemechis File Duressa   +1 more
doaj   +1 more source

Comparison of adaptive meshes for a singularly perturbed reaction–diffusion problem

Mathematical Modelling and Analysis, 2012
We consider a singular second-order boundary value problem. The differential problem is approximated by the Galerkin finite element scheme. The main goal is to compare the well known apriori Bakhvalov and Shishkin meshes with the adaptive mesh based on ...
Andrej Bugajev, Raimondas Čiegis
doaj   +1 more source

Preconditioning and Uniform Convergence for Convection-Diffusion Problems Discretized on Shishkin-Type Meshes [PDF]

Advances in Numerical Analysis, 2016
A one-dimensional linear convection-diffusion problem with a perturbation parameter ɛ multiplying the highest derivative is considered. The problem is solved numerically by using the standard upwind scheme on special layer-adapted meshes. It is proved that the numerical solution is ɛ-uniform accurate in the maximum norm.
Nhan, Thái Ahn, Vulanović, Relja
openaire   +1 more source

Stabilization arising from PGEM : a review and further developments [PDF]

, 2009
The aim of this paper is twofold. First, we review the recent Petrov-Galerkin enriched method (PGEM) to stabilize numerical solutions of BVP's in primal and mixed forms.
Araya, Araya, Araya, Arnold, Baiocchi, Bank, Barrenechea, Barrenechea, Barrenechea, Brezzi, Brezzi, Brezzi, Brezzi, Brezzi, Brezzi, Brooks, Cangiani, Clément, Ern, Franca, Franca, Franca, Franca, Franca, Franca, Franca, Frédéric Valentin, Gabriel R. Barrenechea, Girault, Hughes, Hughes, Leopoldo P. Franca, Linb, Pierre, Rodolfo Araya, Roos, Stynes, Thomée   +37 more
core   +2 more sources

A Layer-Adapted Numerical Method for Singularly Perturbed Partial Functional-Differential Equations

Axioms
This article describes an effective computing method for singularly perturbed parabolic problems with small negative shifts in convection and reaction terms. To handle the small negative shifts, the Taylor series expansion is used.
Ahmed A. Al Ghafli, Fasika Wondimu Gelu, Hassan J. Al Salman   +2 more
doaj   +1 more source

A parameter uniform numerical method for singularly perturbed delay problems with discontinuous convection coefficient

Arab Journal of Mathematical Sciences, 2016
In this paper a standard numerical method with piecewise linear interpolation on Shishkin mesh is suggested to solve singularly perturbed boundary value problem for second order ordinary delay differential equations with discontinuous convection ...
V. Subburayan
doaj   +1 more source

Computing Optical Properties of Ultra-thin Crystals [PDF]

, 2016
An overview is given of recent advances in experimental and theoretical understanding of optical properties of ultra-thin crystal structures (graphene, phosphorene, silicene, MoS2, MoSe2 , WS2 , WSe2 , h-AlN, h-BN, fluorographene, graphane).
Albrecht, Attaccalite, Barawi, Bechstedt, Bernardi, Cakir, Cakir, Cao, Ceperley, Chae, Cheiwchanchamnangij, Chen, Cheng, Cheng, Chernikov, Chien, Cudazzo, Debbichi, Despoja, Eda, Fang, Fano, Feng, Feng, Fuchs, Furchi, Gao, Geim, Giannozzi, Gokus, Gong, Gonze, Gourmelon, Gunasinghe, Gutiérrez, Havener, He, He, Heyd, Huang, Huo, Island, Jin, Jing, Jones, Joswig, Kadi, Kang, Karlický, Karlický, Komsa, Kresse, Kresse, Kresse, Kresse, Latini, Lee, Li, Lin, Luo, Mai, Mak, Mak, Mak, Mak, Mak, Marini, Matthes, Mitioglu, Mohan, Nair, Novoselov, Onida, Palummo, Pan, Perdew, Perdew, Pereira, Phillips, Prezzi, Pulci, Qiu, Ramasubramaniam, Rayson, Rivera, Rohlfing, Ross, Samarakoon, Sanchez, Sedelnikova, Seixas, Shang, Shi, Shih, Shishkin, Shishkin, Shishkin, Singh, Splendiani, Srivastava, Sun, Tongay, Tongay, Tongay, Tonndorf, Tran, Trevisanutto, Ugeda, Wachsmuth, Wang, Wang, Wang, Wei, Wei, Wie, Withers, Xia, Yamamoto, Yan, Yan, Yang, Yang, Yang, Yang, Yang, Ye, You, Yuan, Zeng, Zhou   +129 more
core   +2 more sources