Wenjun Cai
Nanjing Normal University
19 Papers
82 Citations
Wenjun Cai is an academic researcher from Nanjing Normal University. The author has contributed to research in topics: Finite difference method & Conservation law. The author has an hindex of 6, co-authored 19 publications.
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Papers
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A linearly implicit and local energy-preserving scheme for the sine-Gordon equation based on the invariant energy quadratization approach
TL;DR: In this paper, a linearly implicit and local energy-preserving scheme for the sine-Gordon equation is developed, which is based on the invariant energy quadratization approach to construct energy stable schemes for gradient systems.
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A fourth-order dissipation-preserving algorithm with fast implementation for space fractional nonlinear damped wave equations
TL;DR: A novel high-accuracy dissipation-preserving finite difference scheme is constructed by using the new fourth-order fractional central difference operator using the toeplitz-like differentiation matrix and the computation efficiency is raised by fast Fourier transform.
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A Linearly Implicit and Local Energy-Preserving Scheme for the Sine-Gordon Equation Based on the Invariant Energy Quadratization Approach
TL;DR: This paper develops a novel, linearly implicit and local energy-preserving scheme for the sine-Gordon equation and proves that the resulting scheme can exactly preserve the discrete local energy conservation law.
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A linearly implicit structure-preserving scheme for the fractional sine-Gordon equation based on the IEQ approach
Yayun Fu,Wenjun Cai,Yushun Wang +2 more
TL;DR: In this article, a linearly implicit structure-preserving numerical scheme for the space fractional sine-Gordon equation was developed based on the newly developed invariant energy quadratization method.
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A linearly-implicit and conservative Fourier pseudo-spectral method for the 3D Gross–Pitaevskii equation with angular momentum rotation
TL;DR: A linearly-implicit Fourier pseudo-spectral method which preserves discrete mass and energy is developed for the time-dependent 3D Gross–Pitaevskii equation with additional angular momentum rotation and an optimal H 1 -error estimate is established.
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