Multioperator schemes of arbitrary order based on noncentered compact approximations
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Publication:1594400
zbMath0960.65090MaRDI QIDQ1594400
Publication date: 28 January 2001
Published in: Doklady Mathematics (Search for Journal in Brave)
conservation lawscompact numerical differentiationmultioperator schemesnoncentered compact approximationsthree-point difference operators
Hyperbolic conservation laws (35L65) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06)
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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 ⋮ On multioperators principle for constructing arbitrary-order difference schemes ⋮ High-order multioperators-based schemes: developments and applications ⋮ Hybrid schemes with high-order multioperators for computing discontinuous solutions ⋮ The use of high-order composite compact schemes for computing supersonic jet interaction with a surface ⋮ 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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