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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
1822005
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
792014
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 (3), 1066-1088, 2016
512016
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
472015
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
442012
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 (1), 41-60, 2014
432014
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
422015
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
402013
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
382014
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
372015
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
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 (1), 171-190, 2016
252016
Bound-preserving high-order schemes
Z Xu, X Zhang
Handbook of Numerical Analysis 18, 81-102, 2017
222017
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
212015
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
212015
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
192013
Anti-diffusive high order WENO schemes for Hamilton-Jacobi equations
Z Xu, CW Shu
Methods and Applications of Analysis 12 (2), 169-190, 2005
182005
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
172013
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 (2), 795-820, 2016
162016
A numerical scheme for nonlinear Helmholtz equations with strong nonlinear optical effects
Z Xu, G Bao
JOSA A 27 (11), 2347-2353, 2010
132010
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