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math.NA2026
Implict-Explicit Runge-Kutta schemes for geometric flows
Wei Jiang, Chunmei Su, Kaike Tang
We propose a one-step implicit-explicit (IMEX) Runge-Kutta framework for high-order time integration of geometric flows. Starting from the Dziuk and Deckelnick-Dziuk parametric fin…
math.NA2026
High-order parametric local discontinuous Galerkin methods for anisotropic curve-shortening flows
Xiuhui Guo, Wei Jiang, Chunmei Su
We propose a family of high-order local discontinuous Galerkin (LDG) methods, built on a parametric representation and coupled with a semi-implicit backward Euler time discretizati…