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About one choice of essentially non-oscillatory high accuracy order difference scheme for systems of conservation laws. (Russian. English summary) Zbl 1212.65322
A new method of interpolation based on a minimization of the deviations norm for an interpolation polynomial and the integral averaged inside of the mesh. This approach can provide a more monotone solution in comparison to traditional methods.

MSC:
65M06 Finite difference methods for initial value and initial-boundary value problems involving PDEs
35L65 Hyperbolic conservation laws
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Full Text: MNR