id author title date pages extension mime words sentence flesch summary cache txt qn59q241362 Ernie Tsybulnik Efficient Sparse-Grid Implementation of a Fifth-Order Multi-Resolution WENO Scheme for Hyperbolic Equations 2023 .txt text/plain 184 5 22 In our previous work (Lu et al. 2018, Zhu and Zhang 2021), sparse-grid techniques were applied to the classical finite difference WENO schemes in solving multidimensional hyperbolic equations, and it was shown that significant CPU times were saved while both accuracy and stability of the classical WENO schemes were maintained for computations on sparse grids. Numerical experiments on solving high dimensional hyperbolic equations including Vlasov based kinetic problems are performed to demonstrate that the sparse-grid computations achieve large savings of CPU times, and at the same time preserve comparable accuracy and resolution with those on corresponding regular single grids. cache/qn59q241362.txt txt/qn59q241362.txt