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Optimal Definition of the Nonlinear Weights in Multidimensional Central WENOZ Reconstructions

Optimal Definition of the Nonlinear Weights in Multidimensional Central WENOZ Reconstructions

Central $\mathsf{WENO}$ reconstruction procedures have shown very good performance in finite volume and finite difference schemes for hyperbolic conservation and balance laws in one and higher space dimensions on different types of meshes. Their most recent formulations include $\mathsf{WENOZ}$-type nonlinear weights, but in this context a thorough analysis of the …