167 citations · 494 across the 32 of their papers we have counts for
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math.NA2019★ 1 cited
Conservative numerical schemes with optimal dispersive wave relations -- Part I. Derivations and analyses
Qingshan Chen, Lili Ju, Roger Temam
An energy-conserving and an energy-and-enstrophy conserving numerical schemes are derived, by approximating the Hamiltonian formulation, based on the Poisson brackets and the vorti…
math.NA2019
High Order Explicit Local Time-Stepping Methods For Hyperbolic Conservation Laws
Thi-Thao-Phuong Hoang, Lili Ju, Wei Leng +1
In this paper we present and analyze a general framework for constructing high order explicit local time stepping (LTS) methods for hyperbolic conservation laws. In particular, we…
math.NA2019
Maximum principle preserving exponential time differencing schemes for the nonlocal Allen-Cahn equation
Qiang Du, Lili Ju, Xiao Li +1
The nonlocal Allen-Cahn (NAC) equation is a generalization of the classic Allen-Cahn equation by replacing the Laplacian with a parameterized nonlocal diffusion operator, and satis…