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 作者：Jingwei Hu , Xiangxiong Zhang 来源：[J].Journal of Scientific Computing(IF 1.71), 2017, Vol.73 (2-3), pp.797-818Springer 摘要：Implicit–explicit (IMEX) Runge–Kutta (RK) schemes are popular high order time discretization methods for solving stiff kinetic equations. As opposed to the compressible Euler limit (leading order asymptotics of the Boltzmann equation as the Knudsen number $$\varepsilon$$ go...
 作者：Xiaofeng Cai , Xiangxiong Zhang , Jianxian Qiu 来源：[J].Journal of Scientific Computing(IF 1.71), 2016, Vol.68 (2), pp.464-483Springer 摘要：Abstract(#br)In this paper, we present a positivity-preserving high order finite volume Hermite weighted essentially non-oscillatory (HWENO) scheme for compressible Euler equations based on the framework for constructing uniformly high order accurate positivity-preserving di...
 作者：Xiangxiong Zhang 来源：[J].Journal of Computational Physics(IF 2.138), 2017, Vol.328, pp.301-343Elsevier 摘要：Abstract(#br)We construct a local Lax–Friedrichs type positivity-preserving flux for compressible Navier–Stokes equations, which can be easily extended to multiple dimensions for generic forms of equations of state, shear stress tensor and heat flux. With this positivity-pre...
 作者：Xiangxiong Zhang 来源：[J].Journal of Computational Physics(IF 2.138), 2017, Vol.328, pp.301-343Elsevier 摘要：Abstract(#br)We construct a local Lax–Friedrichs type positivity-preserving flux for compressible Navier–Stokes equations, which can be easily extended to multiple dimensions for generic forms of equations of state, shear stress tensor and heat flux. With this positivity-pre...
 作者：Sashank Srinivasan , Jonathan Poggie , Xiangxiong Zhang 来源：[J].Journal of Computational Physics(IF 2.138), 2018, Vol.366, pp.120-143Elsevier 摘要：Abstract(#br)For constructing high order accurate positivity-preserving schemes for convection–diffusion equations, we construct a simple positivity-preserving diffusion flux. Discontinuous Galerkin (DG) schemes with such a positivity-preserving diffusion flux are nonlinear ...
 作者：Yulong Xing , Xiangxiong Zhang 来源：[J].Journal of Scientific Computing(IF 1.71), 2013, Vol.57 (1), pp.19-41Springer 摘要：Abstract(#br)The shallow water equations model flows in rivers and coastal areas and have wide applications in ocean, hydraulic engineering, and atmospheric modeling. In “Xing et al. Adv. Water Resourc. 33: 1476–1493, 2010 )”, the authors constructed high order disconti...
 作者：Xiangxiong Zhang 来源：[J].Journal of Computational Physics(IF 2.138), 2016, Vol.308, pp.153-170Elsevier 摘要：Abstract(#br)For problems defined in a two-dimensional domain Ω with boundary conditions specified on a curve Γ, we consider discontinuous Galerkin (DG) schemes with high order polynomial basis functions on a geometry fitting triangular mesh. It is well known that directly i...
 作者：Xiangxiong Zhang 来源：[J].2017, Vol.328, pp.301-343Elsevier
 作者：Xiangxiong Zhang 来源：[J].2016, Vol.308, pp.153-170Elsevier