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math.NA2022
Unconditional convergence of conservative spectral Galerkin methods for the coupled fractional nonlinear Klein-Gordon-Schrödinger equations
Dongdong Hu, Yayun Fu, Wenjun Cai +1
In this work, two novel classes of structure-preserving spectral Galerkin methods are proposed which based on the Crank-Nicolson scheme and the exponential scalar auxiliary variabl…
math.NA2022
Linearly implicit energy-preserving integrating factor methods for the 2D nonlinear Schrödinger equation with wave operator and convergence analysis
Xuelong Gu, Wenjun Cai, Chaolong Jiang +1
In this paper, we develop a novel class of linear energy-preserving integrating factor methods for the 2D nonlinear Schrödinger equation with wave operator (NLSW), combining the sc…
math.CO2022
On Mixing Distributions Via Random Orthogonal Matrices and the Spectrum of the Singular Values of Multi-Z Shaped Graph Matrices
Wenjun Cai, Aaron Potechin
In this paper, we introduce and analyze a new operation which mixes two distributions and via a random orthogonal matrix. In particular, we take …