A Time-Continuous Embedding Method for Scalar Hyperbolic Conservation Laws on Manifolds

The Diffeomorphic Embedding Method for Hyperbolic Conservation Laws on Implicit Surfaces

CK Hung - 2024 - search.proquest.com
In this thesis, a novel embedding method called the diffeomorphic embedding method is
developed for solving scalar hyperbolic conservation laws posed on implicit surfaces. The …
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[PDF][PDF] High-Order WENO Shock-Capturing Finite Difference Scheme for Hyperbolic Conservation Laws on Manifolds: An Extension of the Time-Continuous …

BS Wang, KB Tian, L Ling, WS Don - researchgate.net
A fifth-order shock-capturing finite difference scheme (tc-WENO-Z5) is proposed for solving
hyperbolic conservation laws on manifolds (SPDEs) with discontinuous solutions. The time …
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