Numerical methods for time-dependent convection-diffusion equations
From MaRDI portal
Publication:1097014
DOI10.1016/0377-0427(88)90315-9zbMath0634.65108OpenAlexW1992292037MaRDI QIDQ1097014
Martin Stynes, Eugene O'Riordan, Mary Jeanne Ng-Stynes
Publication date: 1988
Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/0377-0427(88)90315-9
stabilitynumerical examplesPetrov-Galerkin finite element methodTime-dependent convection-diffusion equations
Nonlinear boundary value problems for linear elliptic equations (35J65) Singular perturbations in context of PDEs (35B25) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30)
Related Items (37)
A parameter-uniform higher order finite difference scheme for singularly perturbed time-dependent parabolic problem with two small parameters ⋮ Finite element analysis of exponentially fitted lumped schemes for time- dependent convection-diffusion problems ⋮ A uniformly convergent quadratic B-spline collocation method for singularly perturbed parabolic partial differential equations with two small parameters ⋮ Finite element analysis of an exponentially fitted non-lumped scheme for advection-diffusion equations ⋮ A variant of Tikhonov regularization for parabolic PDE with space derivative multiplied by a small parameter \(\epsilon\) ⋮ Layer resolving fitted mesh method for parabolic convection-diffusion problems with a variable diffusion ⋮ A higher order uniformly convergent method for singularly perturbed delay parabolic partial differential equations ⋮ An iterative technique for solving singularly perturbed parabolic PDE ⋮ A uniformly convergent scheme for two-parameter problems having layer behaviour ⋮ A Petrov-Galerkin method for a singularly perturbed ordinary differential equation with non-smooth data ⋮ Numerical analysis of singularly perturbed system of parabolic convection-diffusion problem with regular boundary layers ⋮ Comparison of a higher order method and the simple upwind and non-monotone methods for singularly perturbed boundary value problems ⋮ A parameter uniform difference scheme for singularly perturbed parabolic problem in one space dimension ⋮ \(\varepsilon \)-uniform numerical technique for the class of time dependent singularly perturbed parabolic problems with state dependent retarded argument arising from generalised Stein's model of neuronal variability ⋮ A brief survey on numerical methods for solving singularly perturbed problems ⋮ High‐order discrete‐time orthogonal spline collocation methods for singularly perturbed 1D parabolic reaction–diffusion problems ⋮ Crank–Nicolson finite difference method based on a midpoint upwind scheme on a non-uniform mesh for time-dependent singularly perturbed convection–diffusion equations ⋮ Regularized Lardy scheme for solving singularly perturbed elliptic and parabolic PDEs ⋮ A uniformly convergent numerical algorithm on harmonic \((H(\ell))\) mesh for parabolic singularly perturbed convection-diffusion problems with boundary layer ⋮ Alternative direction implicit method for solving first order 2D hyperbolic delay differential equations ⋮ A Fitted Numerical Method for Interior-Layer Parabolic Convection–Diffusion Problems ⋮ A high order HODIE finite difference scheme for 1D parabolic singularly perturbed reaction-diffusion problems ⋮ Higher order numerical approximation for time dependent singularly perturbed differential‐difference convection‐diffusion equations ⋮ \(\varepsilon\)-uniform error estimate of hybrid numerical scheme for singularly perturbed parabolic problems with interior layers ⋮ An explicit finite element method for convection-diffusion equations using rational basis functions ⋮ Richardson extrapolation technique for singularly perturbed parabolic convection--diffusion problems ⋮ A uniformly convergent finite difference scheme for Robin type singularly perturbed parabolic convection diffusion problem ⋮ A higher order uniformly convergent method with Richardson extrapolation in time for singularly perturbed reaction-diffusion parabolic problems ⋮ Uniformly convergent hybrid numerical scheme for singularly perturbed delay parabolic convection-diffusion problems on shishkin mesh ⋮ Wavelet-optimized compact finite difference method for convection-diffusion equations ⋮ Parameter-Robust Numerical Scheme for Time-Dependent Singularly Perturbed Reaction–Diffusion Problem with Large Delay ⋮ Parameter uniform numerical scheme for time dependent singularly perturbed convection-diffusion-reaction problems with general shift arguments ⋮ A uniformly convergent scheme on a nonuniform mesh for convection-diffusion parabolic problems ⋮ A layer adaptive B-spline collocation method for singularly perturbed one-dimensional parabolic problem with a boundary turning point ⋮ A quintic spline collocation method for solving time-dependent convection-diffusion problems ⋮ The Midpoint Upwind Finite Difference Scheme for Time-Dependent Singularly Perturbed Convection-Diffusion Equations on Non-Uniform Mesh ⋮ An efficient uniformly convergent numerical scheme for singularly perturbed semilinear parabolic problems with large delay in time
Cites Work
- \(L^ 1\) and \(L^{\infty}\) uniform convergence of a difference scheme for a semilinear singular perturbation problem
- Upwinding by Petrov-Galerkin methods in convection-diffusion problems
- Second-order linear parabolic equations with a small parameter
- The stability of explicit Euler time-integration for certain finite difference approximations of the multi-dimensional advection-diffusion equation
- Petrov-Galerkin methods for the time-dependent convective transport equation
- Analysis of Some Difference Approximations for a Singular Perturbation Problem Without Turning Points
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
This page was built for publication: Numerical methods for time-dependent convection-diffusion equations
