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:Yingda Cheng , Andrew J. Christlieb ...
来源:[J].Journal of Scientific Computing(IF 1.71), 2017, Vol.71 (3), pp.959-993Springer
摘要:In plasma simulations, where the speed of light divided by a characteristic length is at a much higher frequency than other relevant parameters in the underlying system, such as the plasma frequency, implicit methods begin to play an important role in generating efficient so...
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:Yingda Cheng , Irene M. Gamba , Philip J. Morrison
来源:[J].Journal of Scientific Computing(IF 1.71), 2013, Vol.56 (2), pp.319-349Springer
摘要:Abstract(#br)In this paper we consider Runge–Kutta discontinuous Galerkin (RKDG) schemes for Vlasov–Poisson systems that model collisionless plasmas. One-dimensional systems are emphasized. The RKDG method, originally devised to solve conservation laws, is seen to have excel...
作者:Yingda Cheng , Andrew J. Christlieb , Xinghui Zhong
来源:[J].Journal of Computational Physics(IF 2.138), 2014, Vol.279, pp.145-173Elsevier
摘要:Abstract(#br)In this paper, we generalize the idea in our previous work for the Vlasov–Ampère (VA) system (Y. Cheng, A.J. Christlieb, and X. Zhong (2014) [10]) and develop energy-conserving discontinuous Galerkin (DG) methods for the Vlasov–Maxwell (VM) system. The VM s...
作者:Yingda Cheng , Zixuan Wang
来源:[J].Journal of Computational Physics(IF 2.138), 2014, Vol.268, pp.134-153Elsevier
摘要:Abstract(#br)In this paper, we improve upon the discontinuous Galerkin (DG) method for Hamilton–Jacobi (HJ) equation with convex Hamiltonians in [5] and develop a new DG method for directly solving the general HJ equations. The new method avoids the reconstruction of the sol...
作者:Yingda Cheng , Andrew J. Christlieb , Xinghui Zhong
来源:[J].Journal of Computational Physics(IF 2.138), 2014, Vol.256, pp.630-655Elsevier
摘要:Abstract(#br)In this paper, we propose energy-conserving numerical schemes for the Vlasov–Ampère (VA) systems. The VA system is a model used to describe the evolution of probability density function of charged particles under self consistent electric field in plasmas. It con...
作者:Yingda Cheng , Andrew J. Christlieb , Xinghui Zhong
来源:[J].Journal of Computational Physics(IF 2.138), 2015, Vol.288, pp.66-85Elsevier
摘要:Abstract(#br)In this paper, we propose energy-conserving Eulerian solvers for the two-species Vlasov–Ampère (VA) system and apply the methods to simulate current-driven ion-acoustic instability. The two-species VA systems are of practical importance in applications, and they...
作者:... Qi Tang , Wei Guo , Yingda Cheng
来源:[J].Journal of Computational Physics(IF 2.138), 2016, Vol.314, pp.244-263Elsevier
摘要:Abstract(#br)This paper constitutes our initial effort in developing sparse grid discontinuous Galerkin (DG) methods for high-dimensional partial differential equations (PDEs). Over the past few decades, DG methods have gained popularity in many applications due to their dis...
作者:Ricardo Alonso , Jennifer Young , Yingda Cheng
来源:[J].Cellular and Molecular Bioengineering(IF 1.443), 2014, Vol.7 (1), pp.58-72Springer
摘要:Abstract(#br)Dynamic, cross-linked, biological fiber networks play major roles in cell and tissue function. They are challenging structures to model due to the vast number of components and the complexity of the interactions within the structure. We present here a particle-b...

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