Spline approximation of advection-diffusion problems using upwind type collocation nodes

DOI10.1016/S0377-0427(99)00207-1zbMath0938.65100OpenAlexW1996585911MaRDI QIDQ1807772

Giuseppe Pontrelli, Daniele Funaro

Publication date: 23 November 1999

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0377-0427(99)00207-1

zbMATH Keywords

algorithmstabilizationspline collocation methodlinear advection-diffusion equations

Mathematics Subject Classification ID

Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Stability and convergence of numerical methods for ordinary differential equations (65L20) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations (65L60) Numerical solution of boundary value problems involving ordinary differential equations (65L10) Initial value problems for second-order parabolic equations (35K15) Linear boundary value problems for ordinary differential equations (34B05)

Related Items

Numerical Solution of Two-Dimensional Advection–Diffusion Equation Using Generalized Integral Representation Method ⋮ Superconsistent collocation methods with applications to convection-dominated convection-diffusion equations ⋮ A brief survey on numerical methods for solving singularly perturbed problems ⋮ A superconsistent collocation method for high Reynolds number flows ⋮ Stabilized isogeometric collocation methods for scalar transport and incompressible fluid flow ⋮ Cubic B‐spline differential quadrature methods for the advection‐diffusion equation ⋮ Isogeometric collocation: cost comparison with Galerkin methods and extension to adaptive hierarchical NURBS discretizations ⋮ Isogeometric schemes in rarefied gas dynamics context

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