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Xu-Dong Liu
Researcher at University of California, Los Angeles
Publications - 3
Citations - 3179
Xu-Dong Liu is an academic researcher from University of California, Los Angeles. The author has contributed to research in topics: Convex combination & Hyperbolic partial differential equation. The author has an hindex of 2, co-authored 2 publications receiving 2779 citations.
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Weighted essentially non-oscillatory schemes
TL;DR: A new version of ENO (essentially non-oscillatory) shock-capturing schemes which is called weighted ENO, where, instead of choosing the "smoothest" stencil to pick one interpolating polynomial for the ENO reconstruction, a convex combination of all candidates is used.
Journal ArticleDOI
Nonoscillatory high order accurate self-similar maximum principle satisfying shock capturing schemes I
Xu-Dong Liu,Stanley Osher +1 more
TL;DR: In this paper, a self-similar local maximum principle and a non-oscillatory high order accurate high-order accurate selfsimilar local maximization scheme for scalar one-dimensional initial value problems is presented.