scientific article

DOI<403::AID-ZAMM403>3.0.CO;2-T 10.1002/1521-4001(200106)81:6<403::AID-ZAMM403>3.0.CO;2-TzbMath0985.65123MaRDI QIDQ2731261

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Publication date: 1 November 2001

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zbMATH Keywords

numerical exampleshyperbolic conservation lawsshocksLax-Friedrichs schemegas dynamicstransport processesmeshless collocation methodspositive schemesdissipation models

Mathematics Subject Classification ID

Gas dynamics (general theory) (76N15) Spectral methods applied to problems in fluid mechanics (76M22) Hyperbolic conservation laws (35L65) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70)

Related Items (5)

Minimal positive stencils in meshfree finite difference methods for the Poisson equation ⋮ Difference operators from interpolating moving least squares and their deviation from optimality ⋮ A new meshless collocation method for partial differential equations ⋮ ADER schemes on adaptive triangular meshes for scalar conservation laws ⋮ Meshfree collocation solution of boundary value problems via interpolating moving least squares

Cites Work

• Meshless methods: An overview and recent developments
• \(hp\)-meshless cloud method
• On the structure of function spaces in optimal recovery of point functionals for ENO-schemes by radial basis functions
• The finite difference method at arbitrary irregular grids and its application in applied mechanics
• Local error estimates for radial basis function interpolation of scattered data
• On Families of Pointwise Optimal Finite Volume ENO Approximations
• Optimal recovery using thin plate splines in finite volume methods for the numerical solution of hyperbolic conservation laws
• On integration of parabolic equations by difference methods: I. Linear and quasi‐linear equations for the infinite interval
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