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• W2495909087 abstract "A new approach to high-order accuracy for the numerical solution of conservation laws with the advantages of simplicity and economy is presented. The approach employs the differential form of the equation and accounts for the jumps in flux values at the cell boundaries by a correction procedure based on the concept of reconstruction. Named ‘correction procedure via reconstruction’ or CPR, the approach results in numerous new schemes with favorable properties. It also unifies several existing methods: with appropriate choices of correction terms, it recovers discontinuous Galerkin, staggered-grid, spectral volume, and spectral difference. The CPR versions are generally more economical than the original ones. Fourier analyses are carried out to determine the accuracy and stability of schemes by this formulation. Tradeoffs between accuracy and time-step sizes are discussed." @default.
• W2495909087 created "2016-08-23" @default.
• W2495909087 creator A5004163031 @default.
• W2495909087 date "2011-03-01" @default.
• W2495909087 modified "2023-09-25" @default.
• W2495909087 title "HIGH-ORDER METHODS BY CORRECTION PROCEDURES USING RECONSTRUCTIONS" @default.
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• W2495909087 doi "https://doi.org/10.1142/9789814313193_0014" @default.
• W2495909087 hasPublicationYear "2011" @default.
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