全部文献期刊学位论文会议报纸专利标准年鉴图书|学者科研项目
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作者:Yuan Liu , Yingda Cheng , Chi-Wang Shu
来源:[J].Journal of Scientific Computing(IF 1.71), 2017, Vol.73 (2-3), pp.1028-1071Springer
摘要:In this paper, we propose a simple bound-preserving sweeping procedure for conservative numerical approximations. Conservative schemes are of importance in many applications, yet for high order methods, the numerical solutions do not necessarily satisfy maximum principle. This pa...
作者:Huailing Song , Chi-Wang Shu
来源:[J].Journal of Scientific Computing(IF 1.71), 2017, Vol.73 (2-3), pp.1178-1203Springer
摘要:In this article, we present a second-order in time implicit–explicit (IMEX) local discontinuous Galerkin (LDG) method for computing the Cahn–Hilliard equation, which describes the phase separation phenomenon. It is well-known that the Cahn–Hilliard equation has a nonlin...
作者:Xingjie Helen Li , Chi-Wang Shu , Yang Yang
来源:[J].Journal of Scientific Computing(IF 1.71), 2017, Vol.73 (2-3), pp.943-967Springer
摘要:In this paper, we apply the local discontinuous Galerkin (LDG) method to 2D Keller–Segel (KS) chemotaxis model. We improve the results upon (Epshteyn and Kurganov in SIAM J Numer Anal, 47:368–408, 2008 ) and give optimal rate of convergence under special finite element space...
作者:MengPing Zhang , Chi-Wang Shu
来源:[J].Chinese Science Bulletin(IF 1.319), 2009, Vol.54 (11), pp.1809-1816Springer
摘要:Abstract(#br)In this paper we review a series of recent work on using a Fourier analysis technique to study the stability and error estimates for the discontinuous Galerkin method and other related schemes. The advantage of this approach is that it can reveal instability of ...
作者:Tingting Li , Chi-Wang Shu , Mengping Zhang
来源:[J].Journal of Scientific Computing(IF 1.71), 2017, Vol.70 (2), pp.576-607Springer
摘要:Abstract(#br)In this paper, high order central finite difference schemes in a finite interval are analyzed for the diffusion equation. Boundary conditions of the initial-boundary value problem are treated by the simplified inverse Lax–Wendroff procedure. For the fully discre...
作者:Juntao Huang , Weifeng Zhao , Chi-Wang Shu
来源:[J].Journal of Scientific Computing(IF 1.71), 2019, Vol.79 (2), pp.1015-1056Springer
摘要:Abstract(#br)In this paper, we extend our previous work in Huang and Shu (J Sci Comput, 2018 . https://doi.org/10.1007/s10915-018-0852-1 ) and develop a third-order unconditionally positivity-preserving modifi...
作者:... Wei Wang , Johnny Guzmán , Chi-Wang Shu
来源:[J].Journal of Scientific Computing(IF 1.71), 2014, Vol.61 (1), pp.42-60Springer
摘要:Abstract(#br)In this paper, we propose a multi-scale discontinuous Galerkin (DG) method for second-order elliptic problems with curvilinear unidirectional rough coefficients by choosing a special non-polynomial approximation space. The key ingredient of the method lies in the inc...
作者:Bo Dong , Chi-Wang Shu , Wei Wang
来源:[J].Journal of Scientific Computing(IF 1.71), 2016, Vol.66 (1), pp.321-345Springer
摘要:Abstract(#br)In this paper, we develop and analyze a new multiscale discontinuous Galerkin (DG) method for one-dimensional stationary Schrödinger equations with open boundary conditions which have highly oscillating solutions. Our method uses a smaller finite element space t...
作者:Zheng Chen , Chi-Wang Shu
来源:[J].Journal of Scientific Computing(IF 1.71), 2015, Vol.65 (3), pp.1145-1165Springer
摘要:Abstract(#br)Fourier spectral methods achieve exponential accuracy both on the approximation level and for solving partial differential equations, if the solution is analytic. If the solution is discontinuous but piecewise analytic up to the discontinuities, Fourier spectral...

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