scientific article

zbMath1335.65063MaRDI QIDQ3453552

Thái Anh Nhan, Relja Vulanović

Publication date: 27 November 2015

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

zbMATH Keywords

singular perturbationuniform convergenceconvection-diffusion equationpreconditioningcondition numberfinite differencesboundary value problemShishkin mesh

Mathematics Subject Classification ID

Stability and convergence of numerical methods for ordinary differential equations (65L20) Numerical solution of boundary value problems involving ordinary differential equations (65L10) Error bounds for numerical methods for ordinary differential equations (65L70) Linear boundary value problems for ordinary differential equations (34B05) Singular perturbations for ordinary differential equations (34E15) Finite difference and finite volume methods for ordinary differential equations (65L12) Preconditioners for iterative methods (65F08) Numerical solution of singularly perturbed problems involving ordinary differential equations (65L11)

Related Items (9)

An improved Kellogg-Tsan solution decomposition in numerical methods for singularly perturbed convection-diffusion problems ⋮ Robust hybrid schemes of higher order for singularly perturbed convection-diffusion problems ⋮ Optimal uniform-convergence results for convection-diffusion problems in one dimension using preconditioning ⋮ Preconditioning and uniform convergence for convection-diffusion problems discretized on Shishkin-type meshes ⋮ The Bakhvalov mesh: a complete finite-difference analysis of two-dimensional singularly perturbed convection-diffusion problems ⋮ Analysis of the truncation error and barrier-function technique for a Bakhvalov-type mesh ⋮ A note on a generalized Shishkin-type mesh ⋮ A new upwind difference analysis of an exponentially graded Bakhvalov-type mesh for singularly perturbed elliptic convection-diffusion problems ⋮ A Uniform Convergence Analysis for a Bakhvalov-Type Mesh with an Explicitly Defined Transition Point

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