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We construct a new third-order semi-discrete genuinely multidimensional central scheme for systems of conservation laws and related convection-diffusion equations. This construction is based on a multidimensional extension of the idea, introduced in [17] – the use of more precise information about the local speeds of propagation , and integration over nonuniform control volumes, which contain Riemann fans

A third-order semi-discrete genuinely multidimensional central scheme for hyperbolic conservation laws and related problems