105 citations · 192 across the 20 of their papers we have counts for
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math.NA2020
Mass- and energy-preserving exponential Runge-Kutta methods for the nonlinear Schrödinger equation
Jin Cui, Zhuangzhi Xu, Yushun Wang +1
In this paper, a family of arbitrarily high-order structure-preserving exponential Runge-Kutta methods are developed for the nonlinear Schrödinger equation by combining the scalar…
math.NA2020★ 23 cited
Arbitrarily high-order structure-preserving schemes for the Gross-Pitaevskii equation with angular momentum rotation in three dimensions
Jin Cui, Yushun Wang, Chaolong Jiang
In this paper, we design a novel class of arbitrarily high-order structure-preserving numerical schemes for the time-dependent Gross-Pitaevskii equation with angular momentum rotat…
math.NA2020★ 2 cited
Explicit high-order energy-preserving methods for general Hamiltonian partial differential equations
Chaolong Jiang, Yushun Wang, Yuezheng Gong
A novel class of explicit high-order energy-preserving methods are proposed for general Hamiltonian partial differential equations with non-canonical structure matrix. When the ene…