A new fourth-order conservative adaptive multiresolution average-interpolating wavelet upwind scheme is proposed for hyperbolic conservation laws in compressible flows, using asymmetric wavelets for upwind discretization and symmetric ones for adaptation.
Holmström, Solving hyperbolic PDEs using interpolating wavelets, SIAM Journal on Scientific Computing 21 (2) (1999) 405–420
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A Fourth-order Conservative Adaptive Multiresolution Wavelet Upwind Scheme for Compressible Flows
A new fourth-order conservative adaptive multiresolution average-interpolating wavelet upwind scheme is proposed for hyperbolic conservation laws in compressible flows, using asymmetric wavelets for upwind discretization and symmetric ones for adaptation.