Finite volume approximation of one-dimensional stiff convection-diffusion equations

DOI10.1007/s10915-009-9304-2zbMath1203.65159OpenAlexW2044298980MaRDI QIDQ618516

Chang-Yeol Jung, Roger M. Temam

Publication date: 16 January 2011

Published in: Journal of Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10915-009-9304-2

zbMATH Keywords

finite volume methodsfinite element methodsasymptotic analysisboundary layersstiff problemscorrectorssingularly perturbed problems

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Singular perturbations in context of PDEs (35B25) Finite volume methods applied to problems in fluid mechanics (76M12) Finite volume methods for initial value and initial-boundary value problems involving PDEs (65M08)

Related Items (18)

New finite volume method for rotating channel flows involving boundary layers ⋮ Finite volume approximation of one-dimensional stiff convection-diffusion equations ⋮ Semi‐analytic time differencing methods for singularly perturbed initial value problems ⋮ Finite volume approximation of stiff problems on two-dimensional curvilinear domain ⋮ Coupling finite volume and nonstandard finite difference schemes for a singularly perturbed Schrödinger equation ⋮ Unnamed Item ⋮ A staggered discontinuous Galerkin method for elliptic problems on rectangular grids ⋮ Enriched spectral method for stiff convection-dominated equations ⋮ On the numerical approximations of stiff convection-diffusion equations in a circle ⋮ Validation of a 2D cell-centered finite volume method for elliptic equations ⋮ Enriched numerical scheme for singularly perturbed barotropic quasi-geostrophic equations ⋮ Asymptotic analysis for elliptic equations with Robin boundary condition ⋮ Enriched finite volume approximations of the plane-parallel flow at a small viscosity ⋮ Semi-analytic shooting methods for Burgers' equation ⋮ Singularly perturbed reaction–diffusion equations in a circle with numerical applications ⋮ Semi-analytical time differencing methods for stiff problems ⋮ Recent progresses in boundary layer theory ⋮ New time differencing methods for spectral methods

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