Construction of schemes of prescribed order of accuracy with linear combinations of operators
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Publication:5954756
zbMath0997.65119MaRDI QIDQ5954756
Publication date: 5 November 2002
Published in: Computational Mathematics and Mathematical Physics (Search for Journal in Brave)
numerical examplesfinite-difference methodconvection-diffusion equationsfluid-dynamics equationsupwind compact approximation operators
KdV equations (Korteweg-de Vries equations) (35Q53) Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs (65N50) Finite difference methods for boundary value problems involving PDEs (65N06)
Related Items (10)
On the use of multioperators in the construction of high-order grid approximations ⋮ Development of arbitrary-order multioperators-based schemes for parallel calculations. I: Higher-than-fifth-order approximations to convection terms ⋮ Centered prescribed-order approximations with structured grids and resulting finite-volume schemes ⋮ Multioperator representation of composite compact schemes ⋮ High-order multioperators-based schemes: developments and applications ⋮ Tenth-order accurate multioperator scheme and its application in direct numerical simulation ⋮ Hybrid schemes with high-order multioperators for computing discontinuous solutions ⋮ Instability and acoustic fields of the Rankine vortex as seen from long-term calculations with the tenth-order multioperators-based scheme ⋮ Development of arbitrary-order multioperators-based schemes for parallel calculations. II: Families of compact approximations with two-diagonal inversions and related multioperators ⋮ Numerical simulation of shear layer instability using a scheme with ninth-order multioperator approximations
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