Uniformly Convergent Difference Schemes for Singularly Perturbed Parabolic Diffusion-Convection Problems Without Turning Points.
Eugene O'Riordan, Martin Stynes (1987)
Numerische Mathematik
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Displaying similar documents to “Finite element analyis of exponentially fitted Lumped schemes for time-dependent convection-diffusion problems.”
Uniformly Convergent Difference Schemes for Singularly Perturbed Parabolic Diffusion-Convection Problems Without Turning Points.
Analysis of a Non-Linear Difference scheme in Reaction-Diffusion.
Guo Ben Yu, A.R. Mitchell (1986)
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Some upwinding techniques for finite element approximations of convection-diffusion equations.
R.E. Bank, J.F. Bürgler, ... (1990/91)
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Explicit Difference Approximations of Du Fort-Frankel Type of the One-Dimensional Diffusion Equation.
G.R. Joubert (1971/72)
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Koichi Niijima (1989/90)
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Explicit Difference Approximations of the One-Dimensional Diffusion Equation, Using a Smoothing Technique.
G.R. JOUBERT (1971)
Numerische Mathematik
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On the numerical solutions of convection-diffusion equations
O. Axelsson (1984)
Banach Center Publications
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Analysis of Some Low-Order Finite Element Schemes for Mindlin-Reissner and Kirchhoff Plates.
Juhani Pitkäranta (1988)
Numerische Mathematik
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Error estimates for a FitzHugh–Nagumo parameter-dependent reaction-diffusion system
Konstantinos Chrysafinos, Sotirios P. Filopoulos, Theodosios K. Papathanasiou (2013)
ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique
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Space-time approximations of the FitzHugh–Nagumo system of coupled semi-linear parabolic PDEs are examined. The schemes under consideration are discontinuous in time but conforming in space and of arbitrary order. Stability estimates are presented in the natural energy norms and at arbitrary times, under minimal regularity assumptions. Space-time error estimates of arbitrary order are derived, provided that the natural parabolic regularity is present. Various physical parameters appearing...
Difference Schemes with Best Possible Truncation Error.
W.L. MIRANKER (1971)
Numerische Mathematik
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Some High Accuracy Difference Schemes with a Splitting Operator for Equations of Parabolic and Elliptic Type.
A.R. MITCHELL, G. FAIRWEATHER, A.R. GOURLAY (1967)
Numerische Mathematik
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Conservation schemes for convection-diffusion equations with Robin boundary conditions
Stéphane Flotron, Jacques Rappaz (2013)
ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique
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In this article, we present a numerical scheme based on a finite element method in order to solve a time-dependent convection-diffusion equation problem and satisfy some conservation properties. In particular, our scheme is able to conserve the total energy for a heat equation or the total mass of a solute in a fluid for a concentration equation, even if the approximation of the velocity field is not completely divergence-free. We establish a priori errror estimates for this scheme and...
A Uniform Scheme for the Singularly Perturbed Riccati Equation.
M.J. O Reilly (1986/87)
Numerische Mathematik
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Error estimates for a FitzHugh–Nagumo parameter-dependent reaction-diffusion system
Konstantinos Chrysafinos, Sotirios P. Filopoulos, Theodosios K. Papathanasiou (2012)
ESAIM: Mathematical Modelling and Numerical Analysis
Similarity:
Space-time approximations of the FitzHugh–Nagumo system of coupled semi-linear parabolic PDEs are examined. The schemes under consideration are discontinuous in time but conforming in space and of arbitrary order. Stability estimates are presented in the natural energy norms and at arbitrary times, under minimal regularity assumptions. Space-time error estimates of arbitrary order are derived, provided that the natural parabolic regularity...