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High-order central schemes for hyperbolic systems of conservation laws. (English) Zbl 0940.65093
A family of shock capturing schemes for the approximate solution of hyperbolic systems of conservation laws is presented. They are based on a modified essentially non-oscillatory reconstruction of pointwise values from cell averages and on approximate computation of the flux on cell boundaries. The numerical results confirm the expected accuracy and the high resolution properties of the schemes.

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
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