Tony W. H. Sheu

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All published works

Action	Title	Year	Authors
+ PDF Chat	Fourth order compact scheme for the Navier–Stokes equations on time deformable domains	2023	Shuvam Sen Tony W. H. Sheu
+	Fourth order compact scheme for the Navier-Stokes equations on time deformable domains	2021	Shuvam Sen Tony W. H. Sheu
+	Bacterial chemotaxis in thin fluid layers with free surface	2020	Filip Ivančić Tony W. H. Sheu Maxim Solovchuk
+	GPU acceleration of a patient-specific airway image segmentation and its assessment	2020	Yu-Wei Chang Tony W. H. Sheu
+	Weakly nonlinear stability analysis on a chemotaxis system with deformed free surface	2019	Symphony Chakraborty Tony W. H. Sheu
+	On a conservative Fourier spectral Galerkin method for cubic nonlinear Schrödinger equation with fractional Laplacian	2019	Guang‐an Zou Bo Wang Tony W. H. Sheu
+	Arbitrary Lagrangian Eulerian-Type Finite Element Methods Formulation for PDEs on Time-Dependent Domains with Vanishing Discrete Space Conservation Law	2019	Filip Ivančić Tony W. H. Sheu Maxim Solovchuk
+	Space-time analysis and beyond: toward a better understanding of Camassa–Holm equation	2019	Chueh-Hsin Chang Ching‐Hao Yu Tony W. H. Sheu
+	ALE-type FEM formulation for PDEs on time-dependent domains with vanishing discrete SCL	2018	Filip Ivančić Tony W. H. Sheu Maxim Solovchuk
+	A time marching strategy for solving parabolic and elliptic equations with Neumann boundary conditions	2018	Rex Kuan-Shuo Liu Tony W. H. Sheu
+	A Particle Method and Numerical Study of a Quasilinear Partial Differential Equation	2018	Roberto Camassa Po-Jung Chiu Long Lee Tony W. H. Sheu
+	A conservative numerical scheme for modeling nonlinear acoustic propagation in thermoviscous homogeneous media	2018	Manuel A. Diaz Maxim Solovchuk Tony W. H. Sheu
+ PDF Chat	Numerical solutions to a two-component Camassa–Holm equation	2018	Ching‐Hao Yu Bao‐Feng Feng Tony W. H. Sheu
+	Development of a New Spectral Collocation Method Using Laplacian Eigenbasis for Elliptic Partial Differential Equations in an Extended Domain	2018	Po‐Yi Wu Cheng-Hong Robert Kao Tony W. H. Sheu
+ PDF Chat	Long-time asymptotic solution structure of Camassa-Holm equation subject to an initial condition with non-zero reflection coefficient of the scattering data	2016	Chueh-Hsin Chang Ching‐Hao Yu Tony W. H. Sheu
+ PDF Chat	Development of a symplectic and phase error reducing perturbation finite-difference advection scheme	2016	Cihang Yu Gao Zhi Tony W. H. Sheu
+	Numerical study of long-time Camassa–Holm solution behavior for soliton transport	2016	Cihang Yu Tony W. H. Sheu
+	Development of a Combined Compact Difference Scheme to Simulate Soliton Collision in a Shallow Water Equation	2016	Ching‐Hao Yu Tony W. H. Sheu
+	Dispersion relation equation preserving FDTD method for nonlinear cubic Schrödinger equation	2015	Tony W. H. Sheu L.W. Lin
+	Development of a numerical phase optimized upwinding combined compact difference scheme for solving the Camassa-Holm equation with different initial solitary waves	2015	Cihang Yu Tony W. H. Sheu Chueh-Hsin Chang Shijun Liao
+	Numerical study of plume patterns in the chemotaxis-diffusion-convection coupling system	2015	Yannick Deleuze Chen-Yu Chiang Marc Thiriet Tony W. H. Sheu
+ PDF Chat	On a spectral analysis of scattering data for the Camassa-Holm equation	2014	Chueh-Hsin Chang Tony W. H. Sheu
+	Numerical investigation of chemotaxic phenomenon in incompressible viscous fluid flow	2014	Tony W. H. Sheu C. Y. Chiang
+	On the accuracy assessment of Laplacian models in MPS	2014	K.C. Ng Yaw‐Huei Hwang Tony W. H. Sheu
+	Long-time asymptotic solution structure of Camassa-Holm equation subject to an initial condition with non-zero reflection coefficient of the scattering data	2014	Chueh-Hsin Chang Ching‐Hao Yu Tony W. H. Sheu
+	A dispersively accurate compact finite difference method for the Degasperis–Procesi equation	2012	Cihang Yu Tony W. H. Sheu
+ PDF Chat	On the development of a high-order compact scheme for exhibiting the switching and dissipative solution natures in the Camassa–Holm equation	2011	Tony W. H. Sheu Pao‐Hsiung Chiu Cihang Yu
+	Development of an Incompressible Navier-Stokes Solver Involving Symplectic and Nonsymplectic Time Integrators	2010	Tony W. H. Sheu Cihang Yu
+ PDF Chat	Viscous and inviscid regularizations in a class of evolutionary partial differential equations	2010	Roberto Camassa Pao‐Hsiung Chiu Long Lee Tony W. H. Sheu
+ PDF Chat	A sixth-order dual preserving algorithm for the Camassa–Holm equation	2009	Pao‐Hsiung Chiu Long Lee Tony W. H. Sheu
+	A dispersion-relation-preserving algorithm for a nonlinear shallow-water wave equation	2009	Pao‐Hsiung Chiu Long Lee Tony W. H. Sheu
+	On the development of a dispersion-relation-preserving dual-compact upwind scheme for convection–diffusion equation	2009	Pao‐Hsiung Chiu Tony W. H. Sheu
+	On An Equal Fourth-Order-Accurate Temporal/Spatial Scheme for the Convection-Diffusion Equation	2006	Tony W. H. Sheu R. K. Lin
+	Development of a class of multiple time‐stepping schemes for convection–diffusion equations in two dimensions	2006	R. K. Lin Tony W. H. Sheu
+ PDF Chat	Development of a Dispersion Relation-Preserving Upwinding Scheme for Incompressible Navier–Stokes Equations on NonStaggered Grids	2005	Pao‐Hsiung Chiu Tony W. H. Sheu R. K. Lin
+	Application of dispersion-relation-preserving theory to develop a two-dimensional convection–diffusion scheme	2005	R. K. Lin Tony W. H. Sheu
+	Development of an adaptive discontinuity‐capturing hyperbolic finite element model	2004	Chao Fang Tony W. H. Sheu
+	Development of a two‐dimensional finite element model for pure advective equation	2003	Tony W. H. Sheu Pei-I Lee
+	Development of a high-resolution hyperbolic model on quadratic elements	2003	Tony W. H. Sheu P.H. Lee R. K. Lin
+	AN INCOMPRESSIBLE NAVIER-STOKES MODEL IMPLEMENTED ON NONSTAGGERED GRIDS	2003	Tony W. H. Sheu R. K. Lin
+	A theoretical Taylor–Galerkin model for first‐order hyperbolic equation	2003	Tony W. H. Sheu Po‐Huang Lee
+	A multi‐dimensional monotonic finite element model for solving the convection–diffusion‐reaction equation	2002	Tony W. H. Sheu Harry Y. H. Chen
+	Development of a sixth-order two-dimensional convection–diffusion scheme via Cole–Hopf transformation	2002	Tony W. H. Sheu C.F. Chen LI-WEN HSIEH
+	Finite element analysis of contaminant transport in groundwater	2002	Tony W. H. Sheu Yu‐Hsin Chen
+ PDF Chat	Two Element-by-Element Iterative Solutions for Shallow Water Equations	2001	Chao Fang Tony W. H. Sheu
+	The two-dimensional streamline upwind scheme for the convection-reaction equation	2001	Tony W. H. Sheu H. Y. Shiah
+	An Implicit Scheme for Solving the Convection–Diffusion–Reaction Equation in Two Dimensions	2000	Tony W. H. Sheu S. K. Wang R. K. Lin
+	Development of a High-Resolution Scheme for a Multi-dimensional Advection-Diffusion Equation	1998	Tony W. H. Sheu Shaolun Wang Shin‐Fu Tsai
+	MONOTONIC, MULTIDIMENSIONAL FLUX DISCRETIZATION SCHEME FOR ALL PECLET NUMBERS	1997	Tony W. H. Sheu Shin‐Fu Tsai S. K. Wang
+	A monotone finite element method with test space of Legendre polynomials	1997	Tony W. H. Sheu Shin‐Fu Tsai Morten M. T. Wang
+	An element-by-element BICGSTAB iterative method for three-dimensional steady Navier-Stokes equations	1997	Morten M. T. Wang Tony W. H. Sheu

Common Coauthors

Coauthor	Papers Together
R. K. Lin	7
Cihang Yu	6
Pao‐Hsiung Chiu	6
Ching‐Hao Yu	5
Chueh-Hsin Chang	5
Long Lee	4
Maxim Solovchuk	4
Shin‐Fu Tsai	3
Filip Ivančić	3
Shuvam Sen	2
Morten M. T. Wang	2
Roberto Camassa	2
Cheng-Hong Robert Kao	1
K.C. Ng	1
Symphony Chakraborty	1
Manuel A. Diaz	1
S.K. Wang	1
Chao Fang	1
Yaw‐Huei Hwang	1
Yannick Deleuze	1
Po-Jung Chiu	1
S. K. Wang	1
Chen-Yu Chiang	1
Chao Fang	1
Pei-I Lee	1
Shijun Liao	1
Bo Wang	1
LI-WEN HSIEH	1
C. Y. Chiang	1
C.F. Chen	1
Yu-Wei Chang	1
Marc Thiriet	1
H. Y. Shiah	1
Harry Y. H. Chen	1
L.W. Lin	1
Po‐Huang Lee	1
Po‐Yi Wu	1
S. K. Wang	1
P.H. Lee	1
Guang‐an Zou	1
Rex Kuan-Shuo Liu	1
Yu‐Hsin Chen	1
Bao‐Feng Feng	1
Gao Zhi	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+ PDF Chat	An integrable shallow water equation with peaked solitons	1993	Roberto Camassa Darryl D. Holm	12
+	The modified equation approach to the stability and accuracy analysis of finite-difference methods	1974	R. F. Warming B.J Hyett	9
+ PDF Chat	A Three-Point Combined Compact Difference Scheme	1998	Peter C. Chu Chenwu Fan	9
+	Numerical Solution of Partial Differential Equations	1981	Theodor Meis Ulrich Marcowitz	8
+	Petrov-Galerkin Schemes for the Steady State Convection-Diffusion Equation	1982	Mario Ahués Mauricio Telias	7
+	Numerical Solution of Partial Differential Equations.	1966	G. W. Hedstrom G. D. Smith	7
+	High-Re solutions for incompressible flow using the Navier-Stokes equations and a multigrid method	1982	Urmila Ghia K. N. Ghia C. T. Shin	7
+	A Local Discontinuous Galerkin Method for the Camassa–Holm Equation	2008	Yan Xu Chi‐Wang Shu	7
+	Multi-symplectic integration of the Camassa–Holm equation	2008	David Cohen Brynjulf Owren Xavier Raynaud	6
+	Fully multidimensional flux-corrected transport algorithms for fluids	1979	Steven T. Zalesak	6
+ PDF Chat	Long-time Asymptotics for the Camassa–Holm Equation	2009	Anne Boutet de Monvel Aleksey Kostenko Dmitry Shepelsky Gerald Teschl	5
+	Flux-corrected transport. I. SHASTA, a fluid transport algorithm that works	1973	Jay P. Boris David Book	5
+	A dispersion-relation-preserving algorithm for a nonlinear shallow-water wave equation	2009	Pao‐Hsiung Chiu Long Lee Tony W. H. Sheu	5
+ PDF Chat	On the development of a high-order compact scheme for exhibiting the switching and dissipative solution natures in the Camassa–Holm equation	2011	Tony W. H. Sheu Pao‐Hsiung Chiu Cihang Yu	5
+	A Taylor–Galerkin method for convective transport problems	1984	J. Donéa	5
+	Numerical study of traveling-wave solutions for the Camassa–Holm equation	2005	Henrik Kalisch Jonatan Lenells	5
+ PDF Chat	Finite element flux‐corrected transport (FEM–FCT) for the euler and Navier–Stokes equations	1987	Rainald Löhner Ken Morgan J. Peraire Mehdi Vahdati	4
+	Convergence of a Finite Difference Scheme for the Camassa–Holm Equation	2006	Helge Holden Xavier Raynaud	4
+	A convergent numerical scheme for the Camassa--Holm equation based on multipeakons	2006	Helge Holden Xavier Raynaud	4
+	The Numerical Solution of Parabolic and Elliptic Differential Equations	1955	D.W. Peaceman H.H. Rachford	4
+	Convergence of a spectral projection of the Camassa‐Holm equation	2006	Henrik Kalisch Xavier Raynaud	4
+ PDF Chat	A sixth-order dual preserving algorithm for the Camassa–Holm equation	2009	Pao‐Hsiung Chiu Long Lee Tony W. H. Sheu	4
+ PDF Chat	A Petrov-Galerkin formulation for advection-reaction-diffusion problems	1996	Sergio R. Idelsohn Norberto M. Nigro Mario A. Storti Gustavo C. Buscaglia	4
+	On the scattering problem for the Camassa-Holm equation	2001	Adrian Constantin	4
+ PDF Chat	On high order finite-difference metric discretizations satisfying GCL on moving and deforming grids	2014	Björn Sjögreen H. C. Yee Marcel Vinokur	4
+ PDF Chat	Existence of permanent and breaking waves for a shallow water equation: a geometric approach	2000	Adrian Constantin	4
+	An integrable semi-discretization of the Camassa–Holm equation and its determinant solution	2008	Yasuhiro Ohta Ken‐ichi Maruno Bao‐Feng Feng	4
+	Multi-symplectic integrators: numerical schemes for Hamiltonian PDEs that conserve symplecticity	2001	Thomas J. Bridges Sebastian Reich	4
+	Characteristics and the initial value problem of a completely integrable shallow water equation	2003	Roberto Camassa	4
+	Painlevé-Type Asymptotics for the Camassa–Holm Equation	2010	Anne Boutet de Monvel Alexander Its Dmitry Shepelsky	4
+ PDF Chat	On a Completely Integrable Numerical Scheme for a Nonlinear Shallow-Water Wave Equation	2005	Roberto Camassa Jingfang Huang Long Lee	4
+	A self-adaptive moving mesh method for the Camassa–Holm equation	2010	Bao‐Feng Feng Ken‐ichi Maruno Yasuhiro Ohta	4
+	An Implicit Scheme for Solving the Convection–Diffusion–Reaction Equation in Two Dimensions	2000	Tony W. H. Sheu S. K. Wang R. K. Lin	3
+	Generalised galerkin methods for hyperbolic problems	1985	K. W. Morton	3
+	On Global Finite Energy Solutions of the Camassa-Holm Equation	2005	Milena Stanislavova Atanas Stefanov	3
+ PDF Chat	Variational derivation of the Camassa-Holm shallow water equation	2007	Delia Ionescu-Kruse	3
+	A Monotone Petrov–Galerkin Method for Quasilinear Parabolic Differential Equations	1993	Ø. Bøe	3
+	Group Velocity in Finite Difference Schemes	1982	Lloyd N. Trefethen	3
+	The multiple-soliton solution of the Camassa-Holm equation	2004	Yishen Li Jin E. Zhang	3
+	Conservation laws of the Camassa–Holm equation	2005	Jonatan Lenells	3
+	An energy-conserving Galerkin scheme for a class of nonlinear dispersive equations	2009	Takayasu Matsuo H. Yamaguchi	3
+	Global Conservative Solutions of the Camassa–Holm Equation—A Lagrangian Point of View	2007	Helge Holden Xavier Raynaud	3
+	The Peakon Limits of Soliton Solutions of the Camassa–Holm Equation	2006	A. Parker Yoshimasa Matsuno	3
+ PDF Chat	On a Finite Element Method for Solving the Neutron Transport Equation	1974	P. LASAINT Pierre-Arnaud Raviart	3
+	Numerical correction for finite-difference solution of the advection—dispersion equation with reaction	1996	Behzad Ataie‐Ashtiani D. A. Lockington R. E. Volker	3
+	An easily implementable fourth-order method for the time integration of wave problems	1992	Javier de Frutos J. M. Sanz‐Serna	3
+	New development in freefem++	2012	Frédéric Hecht	3
+	Symplectic structures, their Bäcklund transformations and hereditary symmetries	1981	Benno Fuchssteiner A. S. Fokas	3
+	Global Weak Solutions for a Shallow Water Equation	2000	Adrian Constantin Luc Molinet	3
+ PDF Chat	Wave Structure and Nonlinear Balances in a Family of Evolutionary PDEs	2003	Darryl D. Holm Martin Staley	3