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 -
Public
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 -
Public
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 -
Public
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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