105 citations · 249 across the 20 of their papers we have counts for
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math.NA2020★ 15 cited
Arbitrary high-order linearly implicit energy-preserving algorithms for Hamiltonian PDEs
Yonghui Bo, Yushun Wang, Wenjun Cai
In this paper, we present a novel strategy to systematically construct linearly implicit energy-preserving schemes with arbitrary order of accuracy for Hamiltonian PDEs. Such novel…
math.NA2020★ 4 cited
An explicit and practically invariants-preserving method for conservative systems
Wenjun Cai, Yuezheng Gong, Yushun Wang
An explicit numerical strategy that practically preserves invariants is derived for conservative systems by combining an explicit high-order Runge-Kutta (RK) scheme with a simple m…
math.CO2020★ 1 cited
The Spectrum of the Singular Values of Z-Shaped Graph Matrices
Wenjun Cai, Aaron Potechin
Graph matrices are a type of matrix which has played a crucial role in analyzing the sum of squares hierarchy on average case problems. However, except for rough norm bounds, littl…