Levy, Doron; Puppo, Gabriella; Russo, Giovanni Compact central WENO schemes for multidimensional conservation laws. (English) Zbl 0967.65089 SIAM J. Sci. Comput. 22, No. 2, 656-672 (2000). The article presents new third order central schemes for approximating solutions of systems of conservation laws in one and two dimensions. A compact central weighted essentially nonoscillatory (CWENO) reconstruction is introduced. A full description of the reconstruction is presented. Numerical examples deal with 1D and 2D scalar equation (linear and Burgers equations) and the 1D shock tube for the Euler equation. Third order of accuracy is proved numerically. The work slightly extends a very large range of wors dealing with ENO and WENO schemes. Reviewer: Vit Dolejsi (Praha) Cited in 4 ReviewsCited in 182 Documents MSC: 65M06 Finite difference methods for initial value and initial-boundary value problems involving PDEs 65M12 Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs 35L65 Hyperbolic conservation laws 35Q53 KdV equations (Korteweg-de Vries equations) Keywords:hyperbolic systems; central difference schemes; higher-order accuracy; CWENO reconstruction; systems of conservation laws; essentially nonoscillatory; numerical examples; Burgers equations; Euler equation PDFBibTeX XMLCite \textit{D. Levy} et al., SIAM J. Sci. Comput. 22, No. 2, 656--672 (2000; Zbl 0967.65089) Full Text: DOI arXiv