Unconditionally stable high-order time integration for moving mesh finite difference solution of linear convection–diffusion equations
DOI10.1080/00207160.2014.927447zbMath1330.65131arXiv1310.4215OpenAlexW3105249397MaRDI QIDQ5248094
Publication date: 27 April 2015
Published in: International Journal of Computer Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1310.4215
convergencenumerical exampleconvection-diffusion equationunconditional stabilitytime integrationsemidiscretizationfinite differencemoving meshinitial boundary value problemhigh-order method
Initial-boundary value problems for second-order parabolic equations (35K20) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Method of lines for initial value and initial-boundary value problems involving PDEs (65M20)
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- An \(L^\infty\) stability analysis for the finite-difference solution of one-dimensional linear convection-diffusion equations on moving meshes
- Adaptive moving mesh methods
- Analysis of difference approximations to a singularly perturbed two-point boundary value problem on an adaptively generated grid
- On the convergence on nonrectangular grids
- Convergence analysis of finite difference approximations on equidistributed grids to a singularly perturbed boundary value problem
- Numerical solution of a singularly perturbed two-point boundary value problem using equidistribution: Analysis of convergence
- Stability and accuracy of adapted finite element methods for singularly perturbed problems
- Stability analysis of second-order time accurate schemes for ALE-FEM
- Stability and geometric conservation laws for ALE formulations
- Numerical Methods for Evolutionary Differential Equations
- Adaptivity with moving grids
- Geometric Conservation Law and Its Application to Flow Computations on Moving Grids
- Generalized Coordinate Forms of Governing Fluid Equations and Associated Geometrically Induced Errors
- Analysis of Some Moving Space-Time Finite Element Methods
- Uniform convergence analysis of an upwind finite-difference approximation of a convection-diffusion boundary value problem on an adaptive grid
- Symmetric Error Estimates for Moving Mesh Mixed Methods for Advection-Diffusion Equations
- A Robust Adaptive Method for a Quasi-Linear One-Dimensional Convection-Diffusion Problem
- Symmetric Error Estimates for Moving Mesh Galerkin Methods for Advection-Diffusion Equations
- An analysis of stability and convergence of a finite-difference discretization of a model parabolic PDE in 1D using a moving mesh
- Integration of Stiff Equations
- An arbitrary Lagrangian-Eulerian computing method for all flow speeds
- On a uniformly accurate finite difference approximation of a singularly perturbed reaction-diffusion problem using grid equidistribution
- Uniformly convergent high order finite element solutions of a singularly perturbed reaction-diffusion equation using mesh equidistribution
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