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• W2892353119 abstract "In this paper, a new type of high-order finite difference and finite volume multi-resolution weighted essentially non-oscillatory (WENO) schemes is presented for solving hyperbolic conservation laws. We only use the information defined on a hierarchy of nested central spatial stencils and do not introduce any equivalent multi-resolution representation. These new WENO schemes use the same large stencils as the classical WENO schemes in [25], [45], could obtain the optimal order of accuracy in smooth regions, and could simultaneously suppress spurious oscillations near discontinuities. The linear weights of such WENO schemes can be any positive numbers on the condition that their sum equals one. This is the first time that a series of unequal-sized hierarchical central spatial stencils are used in designing high-order finite difference and finite volume WENO schemes. These new WENO schemes are simple to construct and can be easily implemented to arbitrary high order of accuracy and in higher dimensions. Benchmark examples are given to demonstrate the robustness and good performance of these new WENO schemes." @default.
• W2892353119 created "2018-09-27" @default.
• W2892353119 creator A5012839185 @default.
• W2892353119 creator A5067273504 @default.
• W2892353119 date "2018-12-01" @default.
• W2892353119 modified "2023-10-09" @default.
• W2892353119 title "A new type of multi-resolution WENO schemes with increasingly higher order of accuracy" @default.
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• W2892353119 doi "https://doi.org/10.1016/j.jcp.2018.09.003" @default.
• W2892353119 hasPublicationYear "2018" @default.
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