Weizhang Huang

0000-0002-7510-8230

Publications

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    A MOVING MESH WENO METHOD FOR ONE-DIMENSIONAL CONSERVATION LAWS: Siam Journal on Scientific Computing 2012

    Yang, Xiaobo and Huang, Weizhang and Qiu, Jianxian, (2012). "A MOVING MESH WENO METHOD FOR ONE-DIMENSIONAL CONSERVATION LAWS", Siam Journal on Scientific Computing, vol. 34, no. 4, pp. A2317-A2343
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    An L-infinity stability analysis for the finite-difference solution of one-dimensional linear convection-diffusion equations on moving meshes: Journal of Computational and Applied Mathematics 2012

    Huang, Weizhang and Schaeffer, Forrest, (2012). "An L-infinity stability analysis for the finite-difference solution of one-dimensional linear convection-diffusion equations on moving meshes", Journal of Computational and Applied Mathematics, vol. 236, no. 13, pp. 3338-3348
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    Analysis of a moving collocation method for one-dimensional partial differential equations: Science China-Mathematics 2012

    Ma JingTang and Huang WeiZhang and Russell, Robert D., (2012). "Analysis of a moving collocation method for one-dimensional partial differential equations", Science China-Mathematics, vol. 55, no. 4, pp. 827-840
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    Convergence of de Boor's algorithm for the generation of equidistributing meshes: Ima Journal of Numerical Analysis 2011

    Xu, X. and Huang, W. and Russell, R. D. and Williams, J. F., (2011). "Convergence of de Boor's algorithm for the generation of equidistributing meshes", Ima Journal of Numerical Analysis, vol. 31, no. 2, pp. 580-596
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    Discrete Maximum Principle and a Delaunay-Type Mesh Condition for Linear Finite Element Approximations of Two-Dimensional Anisotropic Diffusion Problems: Numerical Mathematics-Theory Methods and Applications 2011

    Huang, Weizhang, (2011). "Discrete Maximum Principle and a Delaunay-Type Mesh Condition for Linear Finite Element Approximations of Two-Dimensional Anisotropic Diffusion Problems", Numerical Mathematics-Theory Methods and Applications, vol. 4, no. 3, pp. 319-334
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    A new anisotropic mesh adaptation method based upon hierarchical a posteriori error estimates: Journal of Computational Physics 2010

    HUANG, WZ and KAMENSKI, L and LANG, J, (2010). "A new anisotropic mesh adaptation method based upon hierarchical a posteriori error estimates", Journal of Computational Physics, vol. 229, no. 6, pp. 2179-2198
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    An anisotropic mesh adaptation method for the finite element solution of heterogeneous anisotropic diffusion problems: Journal of Computational Physics 2010

    Li, Xianping and Huang, Weizhang, (2010). "An anisotropic mesh adaptation method for the finite element solution of heterogeneous anisotropic diffusion problems", Journal of Computational Physics, vol. 229, no. 21, pp. 8072-8094
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    An anisotropic mesh adaptation method for the finite element solution of variational problems: Finite Elements in Analysis and Design 2010

    HUANG, WZ and LI, XP, (2010). "An anisotropic mesh adaptation method for the finite element solution of variational problems", Finite Elements in Analysis and Design, vol. 46, no. 1-2, pp. 61-73
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    A study of moving mesh PDE methods for numerical simulation of blowup in reaction diffusion equations: JOURNAL OF COMPUTATIONAL PHYSICS 2008

    HUANG, WZ and MA, JT and RUSSELL, RD, (2008). "A study of moving mesh PDE methods for numerical simulation of blowup in reaction diffusion equations", JOURNAL OF COMPUTATIONAL PHYSICS, vol. 227, no. 13, pp. 6532-6552
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    Mathematical principles of anisotropic mesh adaptation: COMMUNICATIONS IN COMPUTATIONAL PHYSICS 2006

    HUANG, WZ, (2006). "Mathematical principles of anisotropic mesh adaptation", COMMUNICATIONS IN COMPUTATIONAL PHYSICS, vol. 1, no. 2, pp. 276-310
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    Convergence analysis of finite element solution of one-dimensional singularly perturbed differential equations on equidistributing meshes: INTERNATIONAL JOURNAL OF NUMERICAL ANALYSIS AND MODELING 2005

    HUANG, WZ, (2005). "Convergence analysis of finite element solution of one-dimensional singularly perturbed differential equations on equidistributing meshes", INTERNATIONAL JOURNAL OF NUMERICAL ANALYSIS AND MODELING, vol. 2, no. 1, pp. 57-74
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    Measuring mesh qualities and application to variational mesh adaptation: SIAM JOURNAL ON SCIENTIFIC COMPUTING 2005

    HUANG, WZ, (2005). "Measuring mesh qualities and application to variational mesh adaptation", SIAM JOURNAL ON SCIENTIFIC COMPUTING, vol. 26, no. 5, pp. 1643-1666
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    Metric tensors for anisotropic mesh generation: JOURNAL OF COMPUTATIONAL PHYSICS 2005

    HUANG, WZ, (2005). "Metric tensors for anisotropic mesh generation", JOURNAL OF COMPUTATIONAL PHYSICS, vol. 204, no. 2, pp. 633-665
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    A two-dimensional moving finite element method with local refinement based on a posteriori error estimates: APPLIED NUMERICAL MATHEMATICS 2003

    LANG, J and CAO, WM and HUANG, WZ and RUSSELL, RD, (2003). "A two-dimensional moving finite element method with local refinement based on a posteriori error estimates", APPLIED NUMERICAL MATHEMATICS, vol. 46, no. 1, pp. 75-94
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    Approaches for generating moving adaptive meshes: location versus velocity: 2nd International Workshop on Numerical Linear Algebra Numerical Methods for Partial Differential Equations and Optimization 2003

    CAO, WM and HUANG, WZ and RUSSELL, RD, (2003). "Approaches for generating moving adaptive meshes: location versus velocity", vol. 47, no. 2, pp. 121-138
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    Convergence analysis of spectral collocation methods for a singular differential equation: SIAM JOURNAL ON NUMERICAL ANALYSIS 2003

    HUANG, WZ and MA, HP and SUN, WW, (2003). "Convergence analysis of spectral collocation methods for a singular differential equation", SIAM JOURNAL ON NUMERICAL ANALYSIS, vol. 41, no. 6, pp. 2333-2349
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    Variational mesh adaptation II: error estimates and monitor functions: JOURNAL OF COMPUTATIONAL PHYSICS 2003

    HUANG, WZ and SUN, WW, (2003). "Variational mesh adaptation II: error estimates and monitor functions", JOURNAL OF COMPUTATIONAL PHYSICS, vol. 184, no. 2, pp. 619-648
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    Variational mesh adaptation methods for axisymmetrical problems: SIAM JOURNAL ON NUMERICAL ANALYSIS 2003

    CAO, WM and CARRETERO-GONZALEZ, R and HUANG, WZ and RUSSELL, RD, (2003). "Variational mesh adaptation methods for axisymmetrical problems", SIAM JOURNAL ON NUMERICAL ANALYSIS, vol. 41, no. 1, pp. 235-257
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    A moving mesh method based on the geometric conservation law: SIAM JOURNAL ON SCIENTIFIC COMPUTING 2002

    CAO, WM and HUANG, WZ and RUSSELL, RD, (2002). "A moving mesh method based on the geometric conservation law", SIAM JOURNAL ON SCIENTIFIC COMPUTING, vol. 24, no. 1, pp. 118-142
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    Adaptive moving mesh methods for simulating one-dimensional groundwater problems with sharp moving fronts: INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING 2002

    HUANG, WZ and ZHENG, L and ZHAN, XY, (2002). "Adaptive moving mesh methods for simulating one-dimensional groundwater problems with sharp moving fronts", INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING, vol. 54, no. 11, pp. 1579-1603
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    Adaptive mesh movement - the MMPDE approach and its applications: JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS 2001

    HUANG, WZ and RUSSELL, RD, (2001). "Adaptive mesh movement - the MMPDE approach and its applications", JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, vol. 128, no. 1-2, pp. 383-398
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    An error indicator monitor function for an r-adaptive finite-element method: JOURNAL OF COMPUTATIONAL PHYSICS 2001

    CAO, WM and HUANG, WZ and RUSSELL, RD, (2001). "An error indicator monitor function for an r-adaptive finite-element method", JOURNAL OF COMPUTATIONAL PHYSICS, vol. 170, no. 2, pp. 871-892
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    Practical aspects of formulation and solution of moving mesh partial differential equations: JOURNAL OF COMPUTATIONAL PHYSICS 2001

    HUANG, WZ, (2001). "Practical aspects of formulation and solution of moving mesh partial differential equations", JOURNAL OF COMPUTATIONAL PHYSICS, vol. 171, no. 2, pp. 753-775
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    Variational mesh adaptation: Isotropy and equidistribution: JOURNAL OF COMPUTATIONAL PHYSICS 2001

    HUANG, WZ, (2001). "Variational mesh adaptation: Isotropy and equidistribution", JOURNAL OF COMPUTATIONAL PHYSICS, vol. 174, no. 2, pp. 903-924
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    A moving mesh method in multiblock domains with application to a combustion problem: NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS 1999

    CAO, WM and HUANG, WZ and RUSSELL, RD, (1999). "A moving mesh method in multiblock domains with application to a combustion problem", NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS, vol. 15, no. 4, pp. 449-467
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    A study of monitor functions for two-dimensional adaptive mesh generation: SIAM JOURNAL ON SCIENTIFIC COMPUTING 1999

    CAO, WM and HUANG, WZ and RUSSELL, RD, (1999). "A study of monitor functions for two-dimensional adaptive mesh generation", SIAM JOURNAL ON SCIENTIFIC COMPUTING, vol. 20, no. 6, pp. 1978-1994
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    An r-adaptive finite element method based upon moving mesh PDEs: JOURNAL OF COMPUTATIONAL PHYSICS 1999

    CAO, WM and HUANG, WZ and RUSSELL, RD, (1999). "An r-adaptive finite element method based upon moving mesh PDEs", JOURNAL OF COMPUTATIONAL PHYSICS, vol. 149, no. 2, pp. 221-244
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    An r-adaptive finite element method based upon moving mesh PDEs (vol 149, pg 221, 1999): JOURNAL OF COMPUTATIONAL PHYSICS 1999

    CAO, WM and HUANG, WZ and RUSSELL, RD, (1999). "An r-adaptive finite element method based upon moving mesh PDEs (vol 149, pg 221, 1999)", JOURNAL OF COMPUTATIONAL PHYSICS, vol. 156, no. 1, pp. 206
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    Moving mesh strategy based on a gradient flow equation for two-dimensional problems: SIAM JOURNAL ON SCIENTIFIC COMPUTING 1999

    HUANG, WZ and RUSSELL, RD, (1999). "Moving mesh strategy based on a gradient flow equation for two-dimensional problems", SIAM JOURNAL ON SCIENTIFIC COMPUTING, vol. 20, no. 3, pp. 998-1015
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    Self-similar numerical solutions of the porous-medium equation using moving mesh methods: PHILOSOPHICAL TRANSACTIONS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES 1999

    BUDD, CJ and COLLINS, GJ and HUANG, WZ and RUSSELL, RD, (1999). "Self-similar numerical solutions of the porous-medium equation using moving mesh methods", PHILOSOPHICAL TRANSACTIONS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, vol. 357, no. 1754, pp. 1047-1077
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    A high dimensional moving mesh strategy: APPLIED NUMERICAL MATHEMATICS 1998

    HUANG, WZ and RUSSELL, RD, (1998). "A high dimensional moving mesh strategy", APPLIED NUMERICAL MATHEMATICS, vol. 26, no. 1-2, pp. 63-76
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    Pseudospectral solution of near-singular problems using numerical coordinate transformations based on adaptivity: SIAM JOURNAL ON SCIENTIFIC COMPUTING 1998

    MULHOLLAND, LS and HUANG, WZ and SLOAN, DM, (1998). "Pseudospectral solution of near-singular problems using numerical coordinate transformations based on adaptivity", SIAM JOURNAL ON SCIENTIFIC COMPUTING, vol. 19, no. 4, pp. 1261-1289
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    Analysis of moving mesh partial differential equations with spatial smoothing: SIAM JOURNAL ON NUMERICAL ANALYSIS 1997

    HUANG, WZ and RUSSELL, RD, (1997). "Analysis of moving mesh partial differential equations with spatial smoothing", SIAM JOURNAL ON NUMERICAL ANALYSIS, vol. 34, no. 3, pp. 1106-1126
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    Geometric integrators for classical spin systems: JOURNAL OF COMPUTATIONAL PHYSICS 1997

    FRANK, J and HUANG, WZ and LEIMKUHLER, B, (1997). "Geometric integrators for classical spin systems", JOURNAL OF COMPUTATIONAL PHYSICS, vol. 133, no. 1, pp. 160-172
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    The adaptive Verlet method: SIAM JOURNAL ON SCIENTIFIC COMPUTING 1997

    HUANG, WZ and LEIMKUHLER, B, (1997). "The adaptive Verlet method", SIAM JOURNAL ON SCIENTIFIC COMPUTING, vol. 18, no. 1, pp. 239-256
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    A moving collocation method for solving time dependent partial differential equations: Workshop on the Method of Lines for Time-Dependent Problems 1996

    HUANG, WZ and RUSSELL, RD, (1996). "A moving collocation method for solving time dependent partial differential equations", vol. 20, no. 1-2, pp. 101-116
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    Finite difference preconditioning for solving orthogonal collocation equations for boundary value problems: SIAM JOURNAL ON NUMERICAL ANALYSIS 1996

    SUN, WW and HUANG, WZ and RUSSELL, RD, (1996). "Finite difference preconditioning for solving orthogonal collocation equations for boundary value problems", SIAM JOURNAL ON NUMERICAL ANALYSIS, vol. 33, no. 6, pp. 2268-2285
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    Moving mesh methods for problems with blow-up: SIAM JOURNAL ON SCIENTIFIC COMPUTING 1996

    BUDD, CJ and HUANG, WH and RUSSELL, RD, (1996). "Moving mesh methods for problems with blow-up", SIAM JOURNAL ON SCIENTIFIC COMPUTING, vol. 17, no. 2, pp. 305-327
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    A SIMPLE ADAPTIVE-GRID METHOD IN 2 DIMENSIONS: SIAM JOURNAL ON SCIENTIFIC COMPUTING 1994

    HUANG, WZ and SLOAN, DM, (1994). "A SIMPLE ADAPTIVE-GRID METHOD IN 2 DIMENSIONS", SIAM JOURNAL ON SCIENTIFIC COMPUTING, vol. 15, no. 4, pp. 776-797
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    MOVING MESH METHODS BASED ON MOVING MESH PARTIAL-DIFFERENTIAL EQUATIONS: JOURNAL OF COMPUTATIONAL PHYSICS 1994

    HUANG, WZ and REN, YH and RUSSELL, RD, (1994). "MOVING MESH METHODS BASED ON MOVING MESH PARTIAL-DIFFERENTIAL EQUATIONS", JOURNAL OF COMPUTATIONAL PHYSICS, vol. 113, no. 2, pp. 279-290
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    MOVING MESH PARTIAL-DIFFERENTIAL EQUATIONS (MMPDES) BASED ON THE EQUIDISTRIBUTION PRINCIPLE: SIAM JOURNAL ON NUMERICAL ANALYSIS 1994

    HUANG, WZ and REN, YH and RUSSELL, RD, (1994). "MOVING MESH PARTIAL-DIFFERENTIAL EQUATIONS (MMPDES) BASED ON THE EQUIDISTRIBUTION PRINCIPLE", SIAM JOURNAL ON NUMERICAL ANALYSIS, vol. 31, no. 3, pp. 709-730
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    THE PSEUDOSPECTRAL METHOD FOR SOLVING DIFFERENTIAL EIGENVALUE PROBLEMS: JOURNAL OF COMPUTATIONAL PHYSICS 1994

    HUANG, WZ and SLOAN, DM, (1994). "THE PSEUDOSPECTRAL METHOD FOR SOLVING DIFFERENTIAL EIGENVALUE PROBLEMS", JOURNAL OF COMPUTATIONAL PHYSICS, vol. 111, no. 2, pp. 399-409
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    A NEW PSEUDOSPECTRAL METHOD WITH UPWIND FEATURES: IMA JOURNAL OF NUMERICAL ANALYSIS 1993

    HUANG, WZ and SLOAN, DM, (1993). "A NEW PSEUDOSPECTRAL METHOD WITH UPWIND FEATURES", IMA JOURNAL OF NUMERICAL ANALYSIS, vol. 13, no. 3, pp. 413-430
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    POLE CONDITION FOR SINGULAR PROBLEMS - THE PSEUDOSPECTRAL APPROXIMATION: JOURNAL OF COMPUTATIONAL PHYSICS 1993

    HUANG, WZ and SLOAN, DM, (1993). "POLE CONDITION FOR SINGULAR PROBLEMS - THE PSEUDOSPECTRAL APPROXIMATION", JOURNAL OF COMPUTATIONAL PHYSICS, vol. 107, no. 2, pp. 254-261
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    THE PSEUDOSPECTRAL METHOD FOR 3RD-ORDER DIFFERENTIAL-EQUATIONS: SIAM JOURNAL ON NUMERICAL ANALYSIS 1992

    HUANG, WZ and SLOAN, DM, (1992). "THE PSEUDOSPECTRAL METHOD FOR 3RD-ORDER DIFFERENTIAL-EQUATIONS", SIAM JOURNAL ON NUMERICAL ANALYSIS, vol. 29, no. 6, pp. 1626-1647
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    CONVERGENCE OF ALGEBRAIC MULTIGRID METHODS FOR SYMMETRICAL AND POSITIVE DEFINITE MATRICES WITH WEAK DIAGONAL DOMINANCE: CHINESE SCIENCE BULLETIN 1991

    HUANG, WZ, (1991). "CONVERGENCE OF ALGEBRAIC MULTIGRID METHODS FOR SYMMETRICAL AND POSITIVE DEFINITE MATRICES WITH WEAK DIAGONAL DOMINANCE", CHINESE SCIENCE BULLETIN, vol. 36, no. 15, pp. 1241-1242
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    CONVERGENCE OF ALGEBRAIC MULTIGRID METHODS FOR SYMMETRICAL POSITIVE DEFINITE MATRICES WITH WEAK DIAGONAL DOMINANCE: APPLIED MATHEMATICS AND COMPUTATION 1991

    HUANG, WZ, (1991). "CONVERGENCE OF ALGEBRAIC MULTIGRID METHODS FOR SYMMETRICAL POSITIVE DEFINITE MATRICES WITH WEAK DIAGONAL DOMINANCE", APPLIED MATHEMATICS AND COMPUTATION, vol. 46, no. 2, pp. 145-164
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    A Moving Mesh WENO Method for One-Dimensional Conservation Laws

    Xiaobo Yang, Weizhang Huang, Jianxian Qiu, 2012, 'A Moving Mesh WENO Method for One-Dimensional Conservation Laws', SIAM Journal on Scientific Computing, vol. 34, no. 4
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    A Simple Adaptive Grid Method in Two Dimensions

    WeiZhang Huang, David M. Sloan, 1994, 'A Simple Adaptive Grid Method in Two Dimensions', SIAM Journal on Scientific Computing, vol. 15, no. 4
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    A new pseudospectral method with upwind features

    WEIZHANG HUANG, DAVID M. SLOAN, 1993, 'A new pseudospectral method with upwind features', IMA Journal of Numerical Analysis, vol. 13, no. 3, pp. 413-430
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    Adaptivity with moving grids

    Chris J. Budd, Weizhang Huang, Robert D. Russell, 2009, 'Adaptivity with moving grids', Acta Numerica, vol. 18, p. 111
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    Analysis of Moving Mesh Partial Differential Equations with Spatial Smoothing

    Weizhang Huang, Robert D. Russell, 1997, 'Analysis of Moving Mesh Partial Differential Equations with Spatial Smoothing', SIAM Journal on Numerical Analysis, vol. 34, no. 3, p. 1106
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    Analysis of a moving collocation method for one-dimensional partial differential equations

    JingTang Ma, WeiZhang Huang, Robert D. Russell, 2011, 'Analysis of a moving collocation method for one-dimensional partial differential equations', Science China Mathematics, vol. 55, no. 4
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    Approaches for generating moving adaptive meshes: location versus velocity

    Weiming Cao, Weizhang Huang, Robert D. Russell, 2003, 'Approaches for generating moving adaptive meshes: location versus velocity', Applied Numerical Mathematics, vol. 47, no. 2
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    Geometric Integrators for Classical Spin Systems

    Jason Frank, Weizhang Huang, Benedict Leimkuhler, 1997, 'Geometric Integrators for Classical Spin Systems', Journal of Computational Physics, vol. 133, no. 1, pp. 160-172
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    Measuring Mesh Qualities and Application to Variational Mesh Adaptation

    Weizhang Huang, 2005, 'Measuring Mesh Qualities and Application to Variational Mesh Adaptation', SIAM Journal on Scientific Computing, vol. 26, no. 5
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    Metric tensors for anisotropic mesh generation

    Weizhang Huang, 2005, 'Metric tensors for anisotropic mesh generation', Journal of Computational Physics, vol. 204, no. 2, pp. 633-665
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    Moving Finite Elements (M. J. Baines)

    Weizhang Huang, 1996, 'Moving Finite Elements (M. J. Baines)', SIAM Review, vol. 38, no. 3
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    Moving Mesh Methods for Problems with Blow-Up

    Chris J. Budd, Weizhang Huang, Robert D. Russell, 1996, 'Moving Mesh Methods for Problems with Blow-Up', SIAM Journal on Scientific Computing, vol. 17, no. 2
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    Pole Condition for Singular Problems: The Pseudospectral Approximation

    Weizhang Huang, David M. Sloan, 1993, 'Pole Condition for Singular Problems: The Pseudospectral Approximation', Journal of Computational Physics, vol. 107, no. 2, pp. 254-261
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    Practical Aspects of Formulation and Solution of Moving Mesh Partial Differential Equations

    Weizhang Huang, 2001, 'Practical Aspects of Formulation and Solution of Moving Mesh Partial Differential Equations', Journal of Computational Physics, vol. 171, no. 2, pp. 753-775
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    The Adaptive Verlet Method

    Weizhang Huang, Benedict Leimkuhler, 1997, 'The Adaptive Verlet Method', SIAM Journal on Scientific Computing, vol. 18, no. 1
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    The Pseudospectral Method for Solving Differential Eigenvalue Problems

    Weizhang Huang, David M. Sloan, 1994, 'The Pseudospectral Method for Solving Differential Eigenvalue Problems', Journal of Computational Physics, vol. 111, no. 2, pp. 399-409
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    Variational Mesh Adaptation: Isotropy and Equidistribution

    Weizhang Huang, 2001, 'Variational Mesh Adaptation: Isotropy and Equidistribution', Journal of Computational Physics, vol. 174, no. 2, pp. 903-924
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    Variational mesh adaptation II: error estimates and monitor functions

    Weizhang Huang, Weiwei Sun, 2003, 'Variational mesh adaptation II: error estimates and monitor functions', Journal of Computational Physics, vol. 184, no. 2, pp. 619-648

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