Zihuan Dai

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All published works

Action	Title	Year	Authors
+	A positivity-preserving Lagrangian Discontinuous Galerkin method for ideal magnetohydrodynamics equations in one-dimension	2019	Shijun Zou Xijun Yu Zihuan Dai
+	A Runge-Kutta discontinuous Galerkin method for Lagrangian ideal magnetohydrodynamics equations in two-dimensions	2019	Shijun Zou Xijun Yu Zihuan Dai
+	A Cell-Centered Lagrangian Method for 2D Ideal MHD Equations	2018	Zihuan Dai
+	A stabilized linearity-preserving scheme for the heterogeneous and anisotropic diffusion problems on polygonal meshes	2012	Jiming Wu Zhiming Gao Zihuan Dai
+	Linearity preserving nine-point schemes for diffusion equation on distorted quadrilateral meshes	2010	Jiming Wu Zihuan Dai Zhiming Gao Guangwei Yuan
+	The superconvergence of the composite midpoint rule for the finite-part integral	2009	Jiming Wu Zihuan Dai Xiao-Ping Zhang
+	Partial Newton-Krylov Iterative Methods for a System of Energy Equations with Three-Temperatures	2008	Tong-Xiang Gu Zihuan Dai Xingping Liu

Common Coauthors

Coauthor	Papers Together
Jiming Wu	3
Xijun Yu	2
Zhiming Gao	2
Shijun Zou	2
Tong-Xiang Gu	1
Xingping Liu	1
Guangwei Yuan	1
Xiao-Ping Zhang	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+	The ∇·B=0 Constraint in Shock-Capturing Magnetohydrodynamics Codes	2000	G. Tóth	3
+	An HLLC Riemann solver for magneto-hydrodynamics	2004	Shengtai Li	2
+	Positive and Entropy Stable Godunov-type Schemes for Gas Dynamics and MHD Equations in Lagrangian or Eulerian Coordinates	2002	Gérard Gallice	2
+	Solving Diffusion Equations with Rough Coefficients in Rough Grids	1996	Mikhail Shashkov Stanly Steinberg	2
+	A cell-centered diffusion scheme on two-dimensional unstructured meshes	2006	J. Breil Pierre‐Henri Maire	2
+	An approximate Riemann solver for magnetohydrodynamics (that works in more than one dimension)	1994	Kenneth G. Powell	2
+	An adaptive moving mesh method for two-dimensional ideal magnetohydrodynamics	2006	Jianqiang Han Huazhong Tang	2
+	A high order ENO conservative Lagrangian type scheme for the compressible Euler equations	2007	Juan Cheng Chi‐Wang Shu	2
+	A Divergence‐free Upwind Code for Multidimensional Magnetohydrodynamic Flows	1998	Dongsu Ryu Francesco Miniati T. W. Jones Adam Frank	2
+	Locally Divergence-Free Discontinuous Galerkin Methods for MHD Equations	2005	Fengyan Li Chi‐Wang Shu	2
+	Second‐Order–accurate Schemes for Magnetohydrodynamics with Divergence‐free Reconstruction	2004	Dinshaw S. Balsara	2
+	Compatible Spatial Discretizations	2006	Douglas N. Arnold Pavel Bochev Richard B. Lehoucq R. A. Nicolaides Mikhail Shashkov	2
+	Differencing of the diffusion equation in Lagrangian hydrodynamic codes	1981	David Kershaw	2
+ PDF Chat	A Cell-Centered Lagrangian Scheme for Two-Dimensional Compressible Flow Problems	2007	Pierre‐Henri Maire Rémi Abgrall J. Breil J. Ovadia	2
+	A High-Order Godunov-Type Scheme for Shock Interactions in Ideal Magnetohydrodynamics	1997	Wenlong Dai Paul R. Woodward	2
+	Definitions, properties and applications of finite-part integrals	2008	Giovanni Monegato	1
+ PDF Chat	A positive MUSCL-Hancock scheme for ideal magnetohydrodynamics	2009	Knut Waagan	1
+	Sigmoidal transformations and the Euler-Maclaurin expansion for evaluating certain Hadamard finite-part integrals	1997	David Elliott Ezio Venturino	1
+	Numerical evaluation of hypersingular integrals	1994	Giovanni Monegato	1
+	On the computation of multi-material flows using ALE formulation	2003	Hong Luo Joseph D. Baum Rainald Löhner	1
+	Maintaining Pressure Positivity in Magnetohydrodynamic Simulations	1999	Dinshaw S. Balsara D. S. Spicer	1
+ PDF Chat	Lagrangian ADER-WENO finite volume schemes on unstructured triangular meshes based on genuinely multidimensional HLL Riemann solvers	2014	Walter Boscheri Dinshaw S. Balsara Michael Dumbser	1
+	Interpolatory quadrature rules for Hadamard finite-part integrals and their superconvergence	2007	Weiwei Sun Jiming Wu	1
+	Newton-Cotes Formulae for the Numerical Evaluation of Certain Hypersingular Integrals	2005	Weiwei Sun Jiming Wu	1
+	Positivity-preserving Lagrangian scheme for multi-material compressible flow	2013	Juan Cheng Chi‐Wang Shu	1
+	The superconvergence of Newton–Cotes rules for the Hadamard finite-part integral on an interval	2007	Jiming Wu Weiwei Sun	1
+	An efficient cell-centered diffusion scheme for quadrilateral grids	2008	M. M. Basko J. A. Maruhn An. Tauschwitz	1
+ PDF Chat	Efficient Implementation of Weighted ENO Schemes	1996	Guang-Shan Jiang Chi‐Wang Shu	1
+ PDF Chat	Improvement of the asymptotic behaviour of the Euler–Maclaurin formula for Cauchy principal value and Hadamard finite‐part integrals	2004	U Jin Choi Shin Wook Kim Beong In Yun	1
+	The finite volume scheme preserving extremum principle for diffusion equations on polygonal meshes	2011	Zhiqiang Sheng Guangwei Yuan	1
+	On the Choice of Wavespeeds for the HLLC Riemann Solver	1997	Paul Batten Nicholas Clarke Christophe Lambert D. M. Causon	1
+	A multi-state HLL approximate Riemann solver for ideal magnetohydrodynamics	2005	T. Miyoshi K. Kusano	1
+ PDF Chat	Multidimensional HLLC Riemann solver for unstructured meshes – With application to Euler and MHD flows	2013	Dinshaw S. Balsara Michael Dumbser Rémi Abgrall	1
+	A Positive Conservative Method for Magnetohydrodynamics Based on HLL and Roe Methods	2000	P. Janhunen	1
+	Analysis of Some Computational Schemes for a Hypersingular Integral Equation on an Interval	2005	И. К. Лифанов A. S. Nenashev	1
+ PDF Chat	A linearity‐preserving cell‐centered scheme for the heterogeneous and anisotropic diffusion equations on general meshes	2010	Zhiming Gao Jiming Wu	1
+	Linearity preserving nine-point schemes for diffusion equation on distorted quadrilateral meshes	2010	Jiming Wu Zihuan Dai Zhiming Gao Guangwei Yuan	1
+	On positivity-preserving high order discontinuous Galerkin schemes for compressible Euler equations on rectangular meshes	2010	Xiangxiong Zhang Chi‐Wang Shu	1
+ PDF Chat	A superconvergence result for the second-order Newton-Cotes formula for certain finite-part integrals	2005	Juan Wu	1
+ PDF Chat	On the uniform convergence of Gaussian quadrature rules for Cauchy principal value integrals and their derivatives	1985	N. I. Ioakimidis	1
+	A nine-point scheme with explicit weights for diffusion equations on distorted meshes	2011	Jiming Wu Zhiming Gao	1
+	Algebraic Multigrid Preconditioned Krylov Subspace Methods for Fluid Flow and Heat Transfer on Unstructured Meshes	2006	Qinghua Wang Yogendra Joshi	1
+	Numerical solution of a singular and a hypersingular integral equation on an interval and the delta function	2002	Gennadi Vainikko N V Lebedeva И. К. Лифанов	1
+	The Runge–Kutta Discontinuous Galerkin Method for Conservation Laws V	1998	Bernardo Cockburn Chi‐Wang Shu	1
+	An upwind differencing scheme for the equations of ideal magnetohydrodynamics	1988	M. Brio Cong Wu	1
+	Evaluations of hypersingular integrals using Gaussian quadrature	1999	Chung‐Yuen Hui David Shia	1
+	A Fourth-Order Central WENO Scheme for Multidimensional Hyperbolic Systems of Conservation Laws	2002	Doron Levy Gabriella Puppo Giovanni Russo	1
+	Superconvergence of the composite Simpson’s rule for a certain finite-part integral and its applications	2008	Xiaoping Zhang Jiming Wu Dehao Yu	1
+	Positivity-preserving DG and central DG methods for ideal MHD equations	2013	Yue Cheng Fengyan Li Jianxian Qiu Liwei Xu	1
+ PDF Chat	A Comparison between Divergence‐Cleaning and Staggered‐Mesh Formulations for Numerical Magnetohydrodynamics	2004	Dinshaw S. Balsara Jong-Soo Kim	1