K
Kelong Cheng
Researcher at Southwest University of Science and Technology
Publications - 13
Citations - 592
Kelong Cheng is an academic researcher from Southwest University of Science and Technology. The author has contributed to research in topics: Norm (mathematics) & Nonlinear system. The author has an hindex of 7, co-authored 13 publications receiving 320 citations.
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An energy stable fourth order finite difference scheme for the Cahn–Hilliard equation
TL;DR: The unique solvability, energy stability are established for the proposed numerical scheme, and an optimal rate convergence analysis is derived in the $\ell^\infty (0,T; T; H_h^2)$ norm.
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A Second-Order, Weakly Energy-Stable Pseudo-spectral Scheme for the Cahn---Hilliard Equation and Its Solution by the Homogeneous Linear Iteration Method
TL;DR: The numerical efficiency can be greatly improved, since the highly nonlinear system can be decomposed as an iteration of purely linear solvers, which can be implemented with the help of the FFT in a pseudo-spectral setting.
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A Third Order Exponential Time Differencing Numerical Scheme for No-Slope-Selection Epitaxial Thin Film Model with Energy Stability
TL;DR: The power index for the surface roughness and the mound width growth, created by the third order numerical scheme, is more accurate than those produced by certain second order energy stable schemes in the existing literature.
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A Fourier pseudospectral method for the “good” Boussinesq equation with second‐order temporal accuracy
TL;DR: In this article, the authors discuss the nonlinear stability and convergence of a fully discrete Fourier pseudospectral method coupled with a specially designed second-order time-stepping for the numerical solution of the Boussinesq equation.
Posted Content
A third order exponential time differencing numerical scheme for no-slope-selection epitaxial thin film model with energy stability
TL;DR: In this paper, a third order accurate exponential time differencing (ETD) numerical scheme for the no-slope-selection (NSS) equation of the epitaxial thin film growth model, with Fourier pseudo-spectral discretization in space, was proposed and analyzed.