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Third order WENO scheme on sparse grids for hyperbolic equations

Third order WENO scheme on sparse grids for hyperbolic equations

The weighted essentially non-oscillatory (WENO) schemes are a popular class of high order accurate numerical methods for solving hyperbolic partial differential equations (PDEs). The computational cost of such schemes increases significantly when the spatial dimensions of the PDEs are high, due to large number of spatial grid points and nonlinearity …