Element-by-Element Parallel Computation of Incompressible Navier-Stokes Equations in Three Dimensions. - Tony W. H. Sheu; Morten M. T. Wang; S. F. Tsai (SIAM J. Sci. Comput., 1999)

Two Element-by-Element Iterative Solutions for Shallow Water Equations. - C. C. Fang; Tony W. H. Sheu (SIAM J. Sci. Comput., 2001)

Finite element analysis of contaminant transport in groundwater. - Tony W. H. Sheu; Y. H. Chen (Appl. Math. Comput., 2002)

An effective explicit pressure gradient scheme implemented in the two-level non-staggered grids for incompressible Navier-Stokes equations. - Pao-Hsiung Chiu; Tony W. H. Sheu; Reui-Kuo Lin (J. Comput. Phys., 2008)

A dispersion-relation-preserving algorithm for a nonlinear shallow-water wave equation. - Pao-Hsiung Chiu; Long Lee; Tony W. H. Sheu (J. Comput. Phys., 2009)

On the development of a dispersion-relation-preserving dual-compact upwind scheme for convection-diffusion equation. - Pao-Hsiung Chiu; Tony W. H. Sheu (J. Comput. Phys., 2009)

Development of a dispersively accurate conservative level set scheme for capturing interface in two-phase flows. - Tony W. H. Sheu; Ching-Hao Yu; Pao-Hsiung Chiu (J. Comput. Phys., 2009)

A sixth-order dual preserving algorithm for the Camassa-Holm equation. - Pao-Hsiung Chiu; Long Lee; Tony W. H. Sheu (J. Comput. Appl. Math., 2010)

Viscous and inviscid regularizations in a class of evolutionary partial differential equations. - Roberto Camassa; Pao-Hsiung Chiu; Long Lee; Tony W. H. Sheu (J. Comput. Phys., 2010)

A differentially interpolated direct forcing immersed boundary method for predicting incompressible Navier-Stokes equations in time-varying complex geometries. - Pao-Hsiung Chiu; Reui-Kuo Lin; Tony W. H. Sheu (J. Comput. Phys., 2010)

A contrast-enhanced trilateral filter for MR image denoising. - Herng-Hua Chang; Ming-Chang Chiang; Tony W. H. Sheu; Henry S. C. Huang (ISBI, 2011)

Development of a Particle Interaction Kernel Function in MPS Method for Simulating Incompressible Free Surface Flow. - Tony W. H. Sheu; Chenpeng Chiao; Chinlong Huang (J. Appl. Math., 2011)

On the development of a high-order compact scheme for exhibiting the switching and dissipative solution natures in the Camassa-Holm equation. - Tony W. H. Sheu; Pao-Hsiung Chiu; Ching-Hao Yu (J. Comput. Phys., 2011)

On the Laplacian model for particle-based simulation using Moving-Particle Semi-implicit (Mps) Method. - Khai-Ching Ng; Tony Wen-Hann Sheu (ICMV, 2013)

A hybrid skull-stripping algorithm based on adaptive balloon snake models. - Hung-Ting Liu; Tony W. H. Sheu; Herng-Hua Chang (Image Processing: Algorithms and Systems, 2013)

Development of a wavenumber-preserving scheme for solving Maxwell's equations in curvilinear non-staggered grids. - Tony W. H. Sheu; C. M. Mei; Jia-Han Li (J. Comput. Phys., 2013)

A dispersively accurate compact finite difference method for the Degasperis-Procesi equation. - Ching-Hao Yu; Tony W. H. Sheu (J. Comput. Phys., 2013)

Automatic segmentation of brain MR images using an adaptive balloon snake model with fuzzy classification. - Hung-Ting Liu; Tony W. H. Sheu; Herng-Hua Chang (Medical Biol. Eng. Comput., 2013)

HIFU Treatment of Liver Cancer - Reciprocal Effect of Blood Flow and US Studied from a Patient-Specific Configuration. - Marc Thiriet; Maxim Solovchuk; Tony Wen-Hann Sheu (CompIMAGE, 2014)

On the accuracy assessment of Laplacian models in MPS. - Khai-Ching Ng; Y. H. Hwang; Tony W. H. Sheu (Comput. Phys. Commun., 2014)

A dispersion relation preserving optimized upwind compact difference scheme for high accuracy flow simulations. - Yogesh G. Bhumkar; Tony W. H. Sheu; Tapan K. Sengupta (J. Comput. Phys., 2014)

Moving Particle Level-Set (MPLS) method for incompressible multiphase flow computation. - Khai-Ching Ng; Y. H. Hwang; Tony W. H. Sheu; Ching-Hao Yu (Comput. Phys. Commun., 2015)

Dispersion relation equation preserving FDTD method for nonlinear cubic Schrödinger equation. - Tony W. H. Sheu; Le Lin (J. Comput. Phys., 2015)

Dispersion Relation Preserving Combined Compact Difference Schemes for Flow Problems. - Ching-Hao Yu; Yogesh G. Bhumkar; Tony W. H. Sheu (J. Sci. Comput., 2015)

Development of a 3D staggered FDTD scheme for solving Maxwell's equations in Drude medium. - Tony W. H. Sheu; Y. C. Wang; Jia-Han Li (Comput. Math. Appl., 2016)

Development of an explicit non-staggered scheme for solving three-dimensional Maxwell's equations. - Tony W. H. Sheu; Y. W. Chung; Jia-Han Li; Y. C. Wang (Comput. Phys. Commun., 2016)

Numerical study of long-time Camassa-Holm solution behavior for soliton transport. - Ching-Hao Yu; Tony W. H. Sheu (Math. Comput. Simul., 2016)

Development of a coupled level set and immersed boundary method for predicting dam break flows. - Ching-Hao Yu; Tony W. H. Sheu (Comput. Phys. Commun., 2017)

On the Development of a Nonprimitive Navier-Stokes Formulation Subject to Rigorous Implementation of a New Vorticity Integral Condition. - Shuvam Sen; Tony W. H. Sheu (J. Sci. Comput., 2017)

Numerical solutions to a two-component Camassa-Holm equation. - Ching-Hao Yu; Bao-Feng Feng; Tony W. H. Sheu (J. Comput. Appl. Math., 2018)

A conservative numerical scheme for modeling nonlinear acoustic propagation in thermoviscous homogeneous media. - Manuel A. Diaz; Maxim Solovchuk; Tony W. H. Sheu (J. Comput. Phys., 2018)

Interface-preserving level set method for simulating dam-break flows. - Zhenghua Gu; H. L. Wen; Ching-Hao Yu; Tony W. H. Sheu (J. Comput. Phys., 2018)

Prediction of evanescent coupling efficiency in two parallel silica nanowires. - Tony W. H. Sheu; C. Y. Kao; Yu-Wei Chang 003; Jia-Han Li (Comput. Math. Appl., 2019)

Arbitrary Lagrangian Eulerian-Type Finite Element Methods Formulation for PDEs on Time-Dependent Domains with Vanishing Discrete Space Conservation Law. - Filip Ivancic; Tony W. H. Sheu; Maxim Solovchuk (SIAM J. Sci. Comput., 2019)

Solution of Ion Channel Flow Using Immersed Boundary-Lattice Boltzmann Methods. - Kumar Saurabh; Maxim Solovchuk; Tony Wen-Hann Sheu (J. Comput. Biol., 2020)

On the development of LS-assisted VOF method for incompressible interfacial flows. - H. L. Wen; Ching-Hao Yu; Tony W. H. Sheu (J. Comput. Phys., 2020)

On a conservative Fourier spectral Galerkin method for cubic nonlinear Schrödinger equation with fractional Laplacian. - Guang-an Zou; Bo Wang 014; Tony W. H. Sheu (Math. Comput. Simul., 2020)

Fourth order compact scheme for the Navier-Stokes equations on time deformable domains. - Shuvam Sen; Tony W. H. Sheu (CoRR, 2021)

Finite element analysis of a new phase field model with p-Laplacian operator. - Guang-an Zou; Xue Wang; Tony W. H. Sheu (Math. Comput. Simul., 2021)