Numerical experiments with different schemes for a singularly perturbed problem.
Herceg, Dragoslav, Surla, Katarina, Radeka, Ivana, Maličić, Helena (2001)
Novi Sad Journal of Mathematics
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Displaying similar documents to “Special meshes and higher-order schemes for singularly perturbed boundary value problems.”
Numerical experiments with different schemes for a singularly perturbed problem.
On a finite difference analogue of a singular boundary value problem.
Herceg, Dragoslav, Krejić, Nataša, Maličić, Helena (2000)
Novi Sad Journal of Mathematics
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High-order compact implicit difference methods for parabolic equations in geodynamo simulation.
Liu, Don, Kuang, Weijia, Tangborn, Andrew (2009)
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On Some Difference Schemes for Singular Singularly-Perturbed Boundary Value Problems.
Uri Ascher (1985)
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A new second order finite difference conservative scheme.
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Some comparisons of difference schemes on meshes of Shishkin and Bakhvalov type.
Surla, Katarina, Herceg, Dragoslav, Maličić, Helena (2001)
Novi Sad Journal of Mathematics
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The role of Sommerville tetrahedra in numerical mathematics
Hošek, Radim
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In this paper we summarize three recent results in computational geometry, that were motivated by applications in mathematical modelling of fluids. The cornerstone of all three results is the genuine construction developed by D. Sommerville already in 1923. We show Sommerville tetrahedra can be effectively used as an underlying mesh with additional properties and also can help us prove a result on boundary-fitted meshes. Finally we demonstrate the universality of the Sommerville's construction...
The mesh chopping algorithm for singularly perturbed boundary value problem.
Herceg, Dragoslav, Maličić, Helena (2000)
Novi Sad Journal of Mathematics
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Convergence of a numerical scheme for a nonlinear oblique derivative boundary value problem
Florian Mehats (2010)
ESAIM: Mathematical Modelling and Numerical Analysis
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We present here a discretization of a nonlinear oblique derivative boundary value problem for the heat equation in dimension two. This finite difference scheme takes advantages of the structure of the boundary condition, which can be reinterpreted as a Burgers equation in the space variables. This enables to obtain an energy estimate and to prove the convergence of the scheme. We also provide some numerical simulations of this problem and a numerical study of the stability of the...
Parameter-uniform fitted mesh method for quasilinear differential equations with boundary layers.
Farrell, P.A., O'Riordan, E., Miller, J.J.H., Shishkin, G.I. (2001)
Computational Methods in Applied Mathematics
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High order finite difference schemes with application to wave propagation problems
Maria Antonietta Pirozzi (2001)
Rendiconti del Seminario Matematico della Università di Padova
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Convergence of a mimetic finite difference method for static diffusion equation.
Guevara-Jordan, J.M., Rojas, S., Freites-Villegas, M., Castillo, J.E. (2007)
Advances in Difference Equations [electronic only]
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