Yong-Tao Zhang

发表

A second order discontinuous Galerkin fast sweeping method for Eikonal equations

Chi-Wang Shu, Hongkai Zhao, Fengyan Li, 2008, J. Comput. Phys..

Fixed-point iterative sweeping methods for static hamilton-Jacobi Equations

Hongkai Zhao, Yong-Tao Zhang, Shanqin Chen, 2006 .

Multiscale models for vertebrate limb development.

Yong-Tao Zhang, Scott Christley, Bogdan Kazmierczak, 2008, Current topics in developmental biology.

Resolution of high order WENO schemes for complicated flow structures

Yong-Tao Zhang, Chi-Wang Shu, Chi-Wang Shu, 2003 .

A conservative numerical method for the fractional nonlinear Schröinger equation in two dimensions

Bo Chen, Yong-Tao Zhang, Zhen Wang, 2019, Science China Mathematics.

Numerical viscosity and resolution of high-order weighted essentially nonoscillatory schemes for compressible flows with high Reynolds numbers.

Chi-Wang Shu, Yong-Tao Zhang, Jing Shi, 2003, Physical review. E, Statistical, nonlinear, and soft matter physics.

Third Order WENO Scheme on Three Dimensional Tetrahedral Meshes

Yong-Tao Zhang, Chi-Wang Shu, Chi-Wang Shu, 2008 .

The Morphostatic Limit for a Model of Skeletal Pattern Formation in the Vertebrate Limb

Yong-Tao Zhang, Bogdan Kazmierczak, Mark Alber, 2008, Bulletin of mathematical biology.

Numerical methods for stiff reaction-diffusion systems

Qing Nie, Yong-Tao Zhang, Ching-Shan Chou, 2007 .

Multistage interaction of a shock wave and a strong vortex

Yong-Tao Zhang, Chi-Wang Shu, Shuhai Zhang, 2005 .

ENO and WENO Schemes

Yong-Tao Zhang, Chi-Wang Shu, Chi-Wang Shu, 2016 .

Formation of the BMP activity gradient in the Drosophila embryo.

Qing Nie, Yong-Tao Zhang, Ethan Bier, 2005, Developmental cell.

Mathematical modeling of vertebrate limb development.

Yong-Tao Zhang, Stuart A Newman, Yong-Tao Zhang, 2013, Mathematical biosciences.

Interaction of an oblique shock wave with a pair of parallel vortices: Shock dynamics and mechanism of sound generation

Yong-Tao Zhang, Chi-Wang Shu, Shuhai Zhang, 2006 .

BIFURCATION OF STEADY-STATE SOLUTIONS FOR A TUMOR MODEL WITH A NECROTIC CORE

J. Hauenstein, A. Sommese, Yong-Tao Zhang, 2010 .

Cell Biology Modeling Development

Yong-Tao Zhang, Q. Nie, 2011 .

Efficient Sparse-Grid Implementation of a Fifth-Order Multi-resolution WENO Scheme for Hyperbolic Equations

Yong-Tao Zhang, Xiaozhi Zhu, Ernie Tsybulnik, 2022, Communications on Applied Mathematics and Computation.

Krylov implicit integration factor WENO method for SIR model with directed diffusion

Yong-Tao Zhang, Shanqin Chen, Rui Zhao, 2017 .

Preface to the Focused Issue on WENO Schemes

Chi-Wang Shu, S. Gottlieb, J. Hesthaven, 2022, Communication on Applied Mathematics and Computation.

Computational analysis of BMP gradients in dorsal-ventral patterning of the zebrafish embryo.

Qing Nie, Yong-Tao Zhang, Arthur D Lander, 2007, Journal of theoretical biology.

Computational Complexity Study on Krylov Integration Factor WENO Method for High Spatial Dimension Convection–Diffusion Problems

Yong-Tao Zhang, Dong Lu, 2017, Journal of Scientific Computing.

Krylov Integration Factor Method on Sparse Grids for High Spatial Dimension Convection–Diffusion Equations

Yong-Tao Zhang, Dong Lu, 2016, Journal of Scientific Computing.

Bare Bones Pattern Formation: A Core Regulatory Network in Varying Geometries Reproduces Major Features of Vertebrate Limb Development and Evolution

Stuart A. Newman, Mark S. Alber, Yong-Tao Zhang, 2010, PloS one.

Operator splitting implicit integration factor methods for stiff reaction-diffusion-advection systems

Su Zhao, Qing Nie, Yong-Tao Zhang, 2011, J. Comput. Phys..

Application of Discontinuous Galerkin Methods for Reaction-Diffusion Systems in Developmental Biology

Jianfeng Zhu, Stuart A. Newman, Mark S. Alber, 2009, J. Sci. Comput..

Krylov implicit integration factor WENO methods for semilinear and fully nonlinear advection-diffusion-reaction equations

Tian Jiang, Yong-Tao Zhang, Yong-Tao Zhang, 2013, J. Comput. Phys..

A homotopy method based on WENO schemes for solving steady state problems of hyperbolic conservation laws

Zhiliang Xu, Wenrui Hao, Chi-Wang Shu, 2013, J. Comput. Phys..

Continuation Along Bifurcation Branches for a Tumor Model with a Necrotic Core

Yuan Liu, Wenrui Hao, Jonathan D. Hauenstein, 2012, Journal of Scientific Computing.

Krylov implicit integration factor discontinuous Galerkin methods on sparse grids for high dimensional reaction-diffusion equations

Yingda Cheng, Yong-Tao Zhang, Shanqin Chen, 2018, J. Comput. Phys..

A Robust Reconstruction for Unstructured WENO Schemes

Yuan Liu, Yong-Tao Zhang, Yong-Tao Zhang, 2013, J. Sci. Comput..

High Order Fast Sweeping Methods for Static Hamilton–Jacobi Equations

Hongkai Zhao, Jianliang Qian, Yong-Tao Zhang, 2006, J. Sci. Comput..

Fast Sweeping Methods for Eikonal Equations on Triangular Meshes

Hongkai Zhao, Jianliang Qian, Yong-Tao Zhang, 2007, SIAM J. Numer. Anal..

High-Order WENO Schemes for Hamilton-Jacobi Equations on Triangular Meshes

Chi-Wang Shu, Yong-Tao Zhang, Chi-Wang Shu, 2003, SIAM J. Sci. Comput..

Krylov implicit integration factor methods for spatial discretization on high dimensional unstructured meshes: Application to discontinuous Galerkin methods

Yong-Tao Zhang, Shanqin Chen, Yong-Tao Zhang, 2011, J. Comput. Phys..

Spatial dynamics of multistage cell lineages in tissue stratification.

Qing Nie, Yong-Tao Zhang, Ching-Shan Chou, 2010, Biophysical journal.

Efficient semi-implicit schemes for stiff systems

Qing Nie, Rui Zhao, Yong-Tao Zhang, 2006, J. Comput. Phys..

A Fast Sweeping Method for Static Convex Hamilton–Jacobi Equations

Hongkai Zhao, Jianliang Qian, Yong-Tao Zhang, 2007, J. Sci. Comput..

Uniformly Accurate Discontinuous Galerkin Fast Sweeping Methods for Eikonal Equations

Chi-Wang Shu, Hongkai Zhao, Fengyan Li, 2011, SIAM J. Sci. Comput..

An absolutely convergent fixed-point fast sweeping WENO method on triangular meshes for steady state of hyperbolic conservation laws

Yong-Tao Zhang, Jun Zhu, Liang Li, 2023, ArXiv.

A Fixed-Point Fast Sweeping WENO Method with Inverse Lax-Wendroff Boundary Treatment for Steady State of Hyperbolic Conservation Laws

Chi-Wang Shu, Yong-Tao Zhang, Jun Zhu, 2022, Communications on Applied Mathematics and Computation.

Sparse grid implementation of a fixed-point fast sweeping WENO scheme for Eikonal equations

Zachary M. Miksis, Yong-Tao Zhang, Yong-Tao Zhang, 2022, Communications on Applied Mathematics and Computation.

Absolutely convergent fixed-point fast sweeping WENO methods for steady state of hyperbolic conservation laws pdf

Liang Li, Yong-Tao Zhang, Jun Zhu, 2020, J. Comput. Phys..

High Order Fixed-Point Sweeping WENO Methods for Steady State of Hyperbolic Conservation Laws and Its Convergence Study

Yong-Tao Zhang, Chi-Wang Shu, Shuhai Zhang, 2016 .

A Third Order Fast Sweeping Method with Linear Computational Complexity for Eikonal Equations

Yong-Tao Zhang, Liang Wu, 2014, Journal of Scientific Computing.

Fast Sweeping Fifth Order WENO Scheme for Static Hamilton-Jacobi Equations with Accurate Boundary Treatment

Chi-Wang Shu, Mengping Zhang, Tao Xiong, 2010, J. Sci. Comput..

A Third Order Fast Sweeping Method with Linear Computational Complexity for Eikonal Equations

Liang Wu, Yong-Tao Zhang, Yong-Tao Zhang, 2015, J. Sci. Comput..

Fifth order fast sweeping WENO scheme for static Hamilton-Jacobi equations with accurate boundary treatment

Mengping Zhang, Tao Xiong, Yong-Tao Zhang, 2022 .

Krylov Integration Factor Method on Sparse Grids for High Spatial Dimension Convection–Diffusion Equations

Dong Lu, Yong-Tao Zhang, Yong-Tao Zhang, 2016, Journal of Scientific Computing.

MULTIPLE STABLE STEADY STATES OF A REACTION-DIFFUSION MODEL ON ZEBRAFISH DORSAL-VENTRAL PATTERNING

Wenrui Hao, Jonathan D. Hauenstein, Yong-Tao Zhang, 2010 .

Math 60790: Spring 2008 Numerical Analysis II (Numerical PDEs)

Yong-Tao Zhang, 2008 .

A Finite Element Model Based on Discontinuous Galerkin Methods on Moving Grids for Vertebrate Limb Pattern Formation

Yong-Tao Zhang, S. A. Newman, Jianfeng Zhu, 2009 .

A conservative numerical method for the fractional nonlinear Schrödinger equation in two dimensions

Yong-Tao Zhang, Zhen Wang, Rongpei Zhang, 2019, Science China Mathematics.

Krylov Implicit Integration Factor Methods for Semilinear Fourth-Order Equations

Yong-Tao Zhang, Yong-Tao Zhang, Michael Machen, 2017 .

Computational Complexity Study on Krylov Integration Factor WENO Method for High Spatial Dimension Convection–Diffusion Problems

Dong Lu, Yong-Tao Zhang, Yong-Tao Zhang, 2017, Journal of Scientific Computing.

Krylov single-step implicit integration factor WENO methods for advection-diffusion-reaction equations

Tian Jiang, Yong-Tao Zhang, Yong-Tao Zhang, 2016, J. Comput. Phys..

Supplemental Data for : Formation of the BMP activity gradient in the Drosophila embryo

J. Marsh, Yong-Tao Zhang, Q. Nie, 2005 .

Bifurcation for a free boundary problem modeling the growth of a tumor with a necrotic core

Wenrui Hao, Jonathan D. Hauenstein, Yong-Tao Zhang, 2012, Nonlinear Analysis: Real World Applications.

Effects of shock waves on Rayleigh-Taylor Instability

Yong-Tao Zhang, Chi-Wang Shu, Chi-Wang Shu, 2006 .