Xia Cui

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All published works

Action	Title	Year	Authors
+	Analysis on a high accuracy fully implicit solution for strong nonlinear diffusion problem - convergence, stability, and uniqueness	2023	Yujie Gong Guangwei Yuan Xia Cui
+	Existence of a fully implicit solution with second-order time evolution for strong nonlinear diffusion equation	2021	Yujie Gong Guangwei Yuan Xia Cui
+	A second‐order space–time accurate scheme for nonlinear diffusion equation with general capacity term	2020	Huan Zheng Guangwei Yuan Xia Cui
+	Iterative acceleration methods with second-order time accuracy for nonlinear diffusion equations	2020	Fei Zhao Xia Cui Guangwei Yuan
+ PDF Chat	Nonlinear iteration acceleration solution for equilibrium radiation diffusion equation	2019	Yanmei Zhang Xia Cui Guangwei Yuan
+	On the carbuncle instability of the HLLE-type solvers	2019	Zhijun Shen Jian Ren Xia Cui
+ PDF Chat	Asymptotic-Preserving Discrete Schemes for Non-Equilibrium Radiation Diffusion Problem in Spherical and Cylindrical Symmetrical Geometries	2018	Xia Cui Zhijun Shen Guangwei Yuan
+	An efficient solving method for nonlinear convection diffusion equation	2017	Xia Cui Guangwei Yuan Zhijun Shen
+	Asymptotic analysis of discrete schemes for non-equilibrium radiation diffusion	2016	Xia Cui Guangwei Yuan Zhijun Shen
+	Numerical analysis and iteration acceleration of a fully implicit scheme for nonlinear diffusion problem with second‐order time evolution	2015	Xia Cui Guang‐wei Yuan Jingyan Yue
+	Weighted Interior Penalty Method with Semi-Implicit Integration Factor Method for Non-Equilibrium Radiation Diffusion Equation	2013	Rongpei Zhang Xijun Yu Jiang Zhu Abimael F. D. Loula Xia Cui
+	A New Discontinuous Galerkin Method for Parabolic Equations with Discontinuous Coefficient	2013	Rongpei Zhang Xijun Yu Xia Cui Xiaohan Long Tao Feng
+	Implicit-explicit Integration Factor Discontinuous Galerkin Method for 2D Radiation Diffusion Equations	2012	Rongpei Zhang Xijun Yu Xia Cui Tao Feng
+ PDF Chat	Iteration Acceleration for Nonlinear Coupled Parabolic-Hyperbolic System	2011	Xia Cui Guangwei Yuan Jingyan Yue
+	An efficient nonlinear iteration scheme for nonlinear parabolic–hyperbolic system	2011	Xia Cui Guangwei Yuan Jingyan Yue
+	Nonlinear scheme with high accuracy for nonlinear coupled parabolic–hyperbolic system	2011	Xia Cui Jingyan Yue Guangwei Yuan
+	A nonlinear iteration method for solving a two-dimensional nonlinear coupled system of parabolic and hyperbolic equations	2010	Xia Cui Jingyan Yue
+	ADFE Simulation for Anisotropic Convection Difiusion Problems with Moving Boundaries	2009	Xia Cui Jingyan Yue Xi-Jun Yu
+ PDF Chat	Domain decomposition algorithm for the parabolic equation with variable coefficient	2004	Xia Cui Xingping Liu Zhiqiang Sheng
+	ADFE METHOD WITH HIGH ACCURACY FOR NONLINEAR PARABOLIC INTEGRO-DIFFERENTIAL SYSTEM WITH NONLINEAR BOUNDARY CONDITIONS	2002	Xia Cui
+	A.D.I.GALERKIN MIETHOD AND THE ANALYSIS FOR 3-DIMENSIONAL NONLINEAR INTEGRO-DIFFERENTIAL EQUATION FOR HYPERBOLIC TYPE	2000	Xia Cui

Common Coauthors

Coauthor	Papers Together
Guangwei Yuan	11
Jingyan Yue	6
Zhijun Shen	4
Rongpei Zhang	3
Xijun Yu	3
Tao Feng	2
Yujie Gong	2
Jian Ren	1
Yanmei Zhang	1
Zhiqiang Sheng	1
Huan Zheng	1
Jiang Zhu	1
Abimael F. D. Loula	1
Xiaohan Long	1
Xi-Jun Yu	1
Xingping Liu	1
Guang‐wei Yuan	1
Fei Zhao	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+	Efficient solution of multi-dimensional flux-limited nonequilibrium radiation diffusion coupled to material conduction with second-order time discretization	2007	Gordon L. Olson	11
+	Progress in Numerical Methods for Radiation Diffusion Equations	2009	Jingyan Yue	9
+	Picard-Newton Iterative Method with Time Step Control for Multimaterial Non-Equilibrium Radiation Diffusion Problem	2011	Jingyan Yue Guangwei Yuan	9
+	Temporal accuracy of the nonequilibrium radiation diffusion equations employing a Saha ionization model	2005	R. M. Rauenzahn Vincent A. Mousseau D. A. Knoll	8
+	ACCELERATION METHODS OF NONLINEAR ITERATION FOR NONLINEAR PARABOLIC EQUATIONS	2006	Guangwei Yuan Xu-deng Hằng	7
+	Nonlinear convergence, accuracy, and time step control in nonequilibrium radiation diffusion	2001	D. A. Knoll William J. Rider G. L. Olson	7
+	Numerical analysis of time integration errors for nonequilibrium radiation diffusion	2007	D. A. Knoll Robert B. Lowrie Jim E. Morel	6
+	Numerical analysis and iteration acceleration of a fully implicit scheme for nonlinear diffusion problem with second‐order time evolution	2015	Xia Cui Guang‐wei Yuan Jingyan Yue	6
+	Nonlinear scheme with high accuracy for nonlinear coupled parabolic–hyperbolic system	2011	Xia Cui Jingyan Yue Guangwei Yuan	6
+	A nonlinear iteration method for solving a two-dimensional nonlinear coupled system of parabolic and hyperbolic equations	2010	Xia Cui Jingyan Yue	4
+	An efficient nonlinear solution method for non-equilibrium radiation diffusion	1999	D. A. Knoll William J. Rider G. L. Olson	4
+	Analysis of stationary iterative methods for the discrete convection–diffusion equation with a 9-point compact scheme	2003	Samir Karaa Jun Zhang	4
+	Preconditioning Strategies for Fully Implicit Radiation Diffusion with Material-Energy Transfer	2001	Peter N. Brown Carol S. Woodward	4
+	Second order unconditionally convergent and energy stable linearized scheme for MHD equations	2017	Guodong Zhang Jinjin Yang Chunjia Bi	4
+	Asymptotic analysis of discrete schemes for non-equilibrium radiation diffusion	2016	Xia Cui Guangwei Yuan Zhijun Shen	3
+	Fully implicit solution of large-scale non-equilibrium radiation diffusion with high order time integration	2004	Peter N. Brown D.E. Shumaker Carol S. Woodward	3
+	The Local and Global Existence of the Solutions of Hyperbolic-Parabolic System Modeling Biological Phenomena	2008	Wu Shaohua Hua Chen Wei‐Xi Li	3
+	DIFFERENCE SCHEMES WITH NONUNIFORM MESHES FOR NONLINEAR PARABOLIC SYSTEM	1996	Zhou Yl	3
+	Asymptotically stable invariant manifold for coupled nonlinear parabolic–hyperbolic partial differential equations	2002	Anthony W. Leung	3
+	Existence and exponential decay in nonlinear thermoelasticity	1998	Jaime E. Muñoz Rivera Rioco Kamei Barreto	3
+	Studies on the accuracy of time-integration methods for the radiation–diffusion equations	2003	Curtis Ober John N. Shadid	3
+	Carleman estimates and boundary observability for a coupled parabolic-hyperbolic system	2000	Paolo G. Albano Daniel Tataru	3
+	Monotone Finite Volume Schemes of Nonequilibrium Radiation Diffusion Equations on Distorted Meshes	2009	Zhiqiang Sheng Jingyan Yue Guangwei Yuan	3
+	<i>Difference Methods for Initial-Value Problems</i>	1959	Robert D. Richtmyer E. H. Dill	3
+	Finite difference method of first boundary problem for quasilinear parabolic systems (IV)	1997	Yulin Zhou Longjun Shen Guangwei Yuan	3
+	Finite volume element methods for nonequilibrium radiation diffusion equations	2013	Xiukun Zhao Yanli Chen Yanni Gao Changhua Yu Yonghai Li	3
+	On a nonlocal boundary value problem for semilinear hyperbolic-parabolic equations	2001	Allaberen Ashyralyev A. Yurtsever	3
+	Resonance with respect to the Fucik spectrum	2000	Abdou Kouider Ben-Naoum Christian Fabry Didier Smets	2
+	Temporal Accuracy of the Nonequilibrium Radiation Diffusion Equations Applied to Two-Dimensional Multimaterial Simulations	2006	Vincent A. Mousseau D. A. Knoll	2
+ PDF Chat	The Direct Discontinuous Galerkin (DDG) Method for Diffusion with Interface Corrections	2010	Hailiang Liu Jue Yan	2
+	A Newton-Raphson approach for nonlinear diffusion equations in radiation hydrodynamics	1995	María Belén D’Amico	2
+ PDF Chat	Coupling of transport and diffusion models in linear transport theory	2002	Guillaume Bal Yvon Maday	2
+	Finite difference methods for a nonlinear and strongly coupled heat and moisture transport system in textile materials	2011	Weiwei Sun Zhi‐zhong Sun	2
+	Diffusion Limit of Small Mean Free Path of Transfer Equation in	2011	Boling Guo Yongqian Han	2
+	A discontinuous Galerkin method with weighted averages for advection-diffusion equations with locally small and anisotropic diffusivity	2008	Alexandre Ern Annette F. Stephansen Paolo Zunino	2
+	A reduction principle for coupled nonlinear parabolic-hyperbolic PDE	2004	Igor Čhuešhov	2
+	An explicit discontinuous Galerkin scheme with local time-stepping for general unsteady diffusion equations	2008	Frieder Lörcher Gregor J. Gassner Claus‐Dieter Munz	2
+	A Modified Backward Time Discretization for Nonlinear Parabolic Equations Using Patch Approximations	1981	Linda J. Hayes	2
+ PDF Chat	A class of asymptotic-preserving schemes for kinetic equations and related problems with stiff sources	2010	Francis Filbet Shi Jin	2
+ PDF Chat	Design of asymptotic preserving finite volume schemes for the hyperbolic heat equation on unstructured meshes	2012	Christophe Buet Bruno Després Emmanuel Franck	2
+	Asymptotic Analysis of Nonlinear Marshak Waves	1980	E.W. Larsen G. C. Pomraning	2
+	Asymptotic-Preserving Schemes for Fluid Models of Plasmas	2011	Pierre Degond	2
+	Time-dependent simplified PN approximation to the equations of radiative transfer	2007	Martin Frank Axel Klar Edward W. Larsen Shugo Yasuda	2
+ PDF Chat	The Local Discontinuous Galerkin Method for Time-Dependent Convection-Diffusion Systems	1998	Bernardo Cockburn Chi‐Wang Shu	2
+	<i>P</i><sub>1</sub>Nonconforming Finite Element Multigrid Method for Radiation Transport	2003	Kab Seok Kang	2
+ PDF Chat	High order asymptotic preserving DG-IMEX schemes for discrete-velocity kinetic equations in a diffusive scaling	2014	Juhi Jang Fengyan Li Jing‐Mei Qiu Tao Xiong	2
+	Fully discrete interior penalty discontinuous Galerkin methods for nonlinear parabolic equations	2010	Lunji Song	2
+	The Direct Discontinuous Galerkin (DDG) Methods for Diffusion Problems	2009	Hailiang Liu Jue Yan	2
+	Second-order accurate interface- and discontinuity-aware diffusion solvers in two and three dimensions	2014	William W. Dai A. J. Scannapieco	2
+	Physics-Based Preconditioning and the Newton–Krylov Method for Non-equilibrium Radiation Diffusion	2000	Vincent A. Mousseau D. A. Knoll William J. Rider	2