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Zhengfu Xu
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Anti-diffusive flux corrections for high order finite difference WENO schemes
Z Xu, CW Shu
Journal of Computational Physics 205 (2), 458-485, 2005
2022005
Parametrized maximum principle preserving flux limiters for high order schemes solving hyperbolic conservation laws: one-dimensional scalar problem
Z Xu
Mathematics of Computation 83 (289), 2213-2238, 2014
1022014
Parametrized positivity preserving flux limiters for the high order finite difference WENO scheme solving compressible Euler equations
T Xiong, JM Qiu, Z Xu
Journal of Scientific Computing 67, 1066-1088, 2016
692016
Positivity-preserving finite difference weighted ENO schemes with constrained transport for ideal magnetohydrodynamic equations
AJ Christlieb, Y Liu, Q Tang, Z Xu
SIAM Journal on Scientific Computing 37 (4), A1825-A1845, 2015
522015
High order parametrized maximum-principle-preserving and positivity-preserving WENO schemes on unstructured meshes
AJ Christlieb, Y Liu, Q Tang, Z Xu
Journal of Computational Physics 281, 334-351, 2015
502015
Parametrized maximum principle preserving flux limiters for high order schemes solving multi-dimensional scalar hyperbolic conservation laws
C Liang, Z Xu
Journal of Scientific Computing 58, 41-60, 2014
482014
A parametrized maximum principle preserving flux limiter for finite difference RK-WENO schemes with applications in incompressible flows
T Xiong, JM Qiu, Z Xu
Journal of Computational Physics 252, 310-331, 2013
482013
Variational models of network formation and ion transport: applications to perfluorosulfonate ionomer membranes
N Gavish, J Jones, Z Xu, A Christlieb, K Promislow
Polymers 4 (1), 630-655, 2012
472012
High order maximum principle preserving semi-Lagrangian finite difference WENO schemes for the Vlasov equation
T Xiong, JM Qiu, Z Xu, A Christlieb
Journal of Computational Physics 273, 618-639, 2014
452014
High order maximum-principle-preserving discontinuous Galerkin method for convection-diffusion equations
T Xiong, JM Qiu, Z Xu
SIAM Journal on Scientific Computing 37 (2), A583-A608, 2015
402015
Anti-diffusive finite difference WENO methods for shallow water with transport of pollutant
Z Xu, CW Shu
Journal of Computational Mathematics, 239-251, 2006
372006
Bound-preserving high-order schemes
Z Xu, X Zhang
Handbook of numerical analysis 18, 81-102, 2017
342017
An explicit high-order single-stage single-step positivity-preserving finite difference WENO method for the compressible Euler equations
DC Seal, Q Tang, Z Xu, AJ Christlieb
Journal of Scientific Computing 68, 171-190, 2016
302016
High order operator splitting methods based on an integral deferred correction framework
AJ Christlieb, Y Liu, Z Xu
Journal of Computational Physics 294, 224-242, 2015
262015
On the unconditionally gradient stable scheme for the Cahn-Hilliard equation and its implementation with Fourier method
A Christlieb, K Promislow, Z Xu
Communications in Mathematical Sciences 11 (2), 345-360, 2013
232013
Local discontinuous Galerkin methods for the functionalized Cahn–Hilliard equation
R Guo, Y Xu, Z Xu
Journal of Scientific Computing 63 (3), 913-937, 2015
222015
Parametrized maximum principle preserving limiter for finite difference WENO schemes solving convection-dominated diffusion equations
Y Jiang, Z Xu
SIAM Journal on Scientific Computing 35 (6), A2524-A2553, 2013
212013
Anti-diffusive high order WENO schemes for Hamilton-Jacobi equations
Z Xu, CW Shu
212005
High order maximum principle preserving finite volume method for convection dominated problems
P Yang, T Xiong, JM Qiu, Z Xu
Journal of Scientific Computing 67, 795-820, 2016
152016
A numerical scheme for nonlinear Helmholtz equations with strong nonlinear optical effects
Z Xu, G Bao
JOSA A 27 (11), 2347-2353, 2010
152010
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