Yingjie Liu

发表

Back and forth error compensation and correction methods for removing errors induced by uneven gradients of the level set function

T. Dupont, Yingjie Liu, 2003 .

A Backward Point Shifted Levelset Method for Highly Accurate Interface Computation

Yingjie Liu, 2002 .

Central Schemes and Central Discontinuous Galerkin Methods on Overlapping Cells

Yingjie Liu, 2005 .

Central schemes on overlapping cells

Yingjie Liu, 2005 .

L2 Stability Analysis of the Central Discontinuous Galerkin Method and a Comparison between the Central and Regular Discontinuous Galerkin Methods

Chi-Wang Shu, E. Tadmor, Yingjie Liu, 2008 .

Central local discontinuous galerkin methods on overlapping cells for diffusion equations

Chi-Wang Shu, E. Tadmor, Yingjie Liu, 2011 .

L 2 STABILITY ANALYSIS OF THE CENTRAL DISCONTINUOUS GALERKIN METHOD AND A COMPARISON BETWEEN THE CENTRAL AND REGULAR

Chi-Wang Shu, E. Tadmor, Yingjie Liu, 2008 .

Hierarchical reconstruction with up to second degree remainder for solving nonlinear conservation laws

Chi-Wang Shu, Zhiliang Xu, Yingjie Liu, 2009 .

Non-Oscillatory Hierarchical Reconstruction for Central and Finite Volume Schemes

Eitan Tadmor, Yingjie Liu, E. Tadmor, 2006 .

Central Schemes on Overlapping Cells Dedicated to James Glimm on the occasion of his 70th birthday

Yingjie Liu, 2022 .

Conservative front tracking and level set algorithms

Ning Zhao, James Glimm, Yingjie Liu, 2001, Proceedings of the National Academy of Sciences of the United States of America.

An Explanation to the Phenomenon of Coupled First Order Shift of Conservative Quantities during the Interaction of Captured Discontinuities

T. Dupont, Yingjie Liu, 2003 .

A Finite Difference Method on Irregular Grids with Local Second Order Ghost Point Extension for Solving Maxwell's Equations Around Curved PEC Objects

Yingjie Liu, Haiyu Zou, 2021, J. Comput. Phys..

A ghost-point based second order accurate finite difference method on uniform orthogonal grids for electromagnetic scattering around PEC

Yingjie Liu, Hwi Lee, 2022, ArXiv.

Numerical approaches to stochastic differential equations with boundary conditions

Yingjie Liu, 1993 .

A weighted Nitsche’s method for interface problems with higher-order simplex elements

Yingjie Liu, Wen Jiang, C. Annavarapu, 2022, Computational Mechanics.

Neural Networks with Local Converging Inputs (NNLCI) for Solving Conservation Laws, Part II: 2D Problems

V. Yang, Yingjie Liu, Haoxiang Huang, 2022, ArXiv.

Neural Networks with Inputs Based on Domain of Dependence and A Converging Sequence for Solving Conservation Laws, Part I: 1D Riemann Problems pdf

Vigor Yang, Haoxiang Huang, Yingjie Liu, 2021, ArXiv.

Conservative Front Tracking with Improved Accuracy

Zhiliang Xu, Xiaolin Li, Yingjie Liu, 2003, SIAM J. Numer. Anal..

An Unconditionally Stable MacCormack Method

Ronald Fedkiw, Jarek Rossignac, Yingjie Liu, 2008, J. Sci. Comput..

Koopman-Based Approach to Nonintrusive Projection-Based Reduced-Order Modeling with Black-Box High-Fidelity Models

Dimitri N. Mavris, Yingjie Liu, Sudharshan Ashwin Renganathan, 2018, AIAA Journal.

A Methodology for Projection-Based Model Reduction with Black-Box High-Fidelity Models

Dimitri N. Mavris, Yingjie Liu, Sudharshan Ashwin Renganathan, 2017, 1709.08713.

The numerical computation of connecting orbits in dynamical systems: a rational spectral approach

Tao Tang, Yingjie Liu, T. Tang, 1994 .

A weighted Nitsche’s method for interface problems with higher-order simplex elements

Yingjie Liu, C. Annavarapu, Wen-zheng Jiang, 2022, Computational Mechanics.

Hierarchical reconstruction for discontinuous Galerkin methods on unstructured grids with a WENO-type linear reconstruction and partial neighboring cells

Zhiliang Xu, Chi-Wang Shu, Yingjie Liu, 2009, J. Comput. Phys..

Back and Forth Error Compensation and Correction Methods for Semi-Lagranging Schemes with Application to Interface Computation Using Level Set Method

Todd F. Dupont, Yingjie Liu, T. Dupont, 2004 .

FOR SEMI-LAGRANGING SCHEMES WITH APPLICATION TO INTERFACE COMPUTATION USING LEVEL SET METHOD

T. Dupont, Yingjie Liu, 2022 .

Back and forth error compensation and correction method for linear hyperbolic systems with application to the Maxwell's equations

Xin Wang, Yingjie Liu, Yingjie Liu, 2018, J. Comput. Phys. X.

Well-Balanced Central Schemes on Overlapping Cells with Constant Subtraction Techniques for the Saint-Venant Shallow Water System

Yingjie Liu, Alexander Kurganov, Suo Yang, 2014, J. Sci. Comput..

A new Runge-Kutta discontinuous Galerkin method with conservation constraint to improve CFL condition for solving conservation laws

Zhiliang Xu, Yingjie Liu, Xu-Yan Chen, 2014, J. Comput. Phys..

Hierarchical reconstruction for spectral volume method on unstructured grids

Zhiliang Xu, Chi-Wang Shu, Yingjie Liu, 2009, J. Comput. Phys..

Point-wise hierarchical reconstruction for discontinuous Galerkin and finite volume methods for solving conservation laws

Zhiliang Xu, Guang Lin, Chi-Wang Shu, 2011, J. Comput. Phys..

A Conservation Constrained Runge-Kutta Discontinuous Galerkin Method with the Improved CFL Condition for Conservation Laws

Zhiliang Xu, Yingjie Liu, Yingjie Liu, 2010 .

New central and central discontinuous Galerkin schemes on overlapping cells of unstructured grids for solving ideal magnetohydrodynamic equations with globally divergence-free magnetic field

Zhiliang Xu, Yingjie Liu, Yingjie Liu, 2016, J. Comput. Phys..

Accuracy Enhancing Interface Treatment Algorithm: The Back and Forth Error Compensation and Correction Method pdf

Wenbin Dong, Yingjie Liu, Hansong Tang, 2021, Journal of Scientific Computing.

A limiting strategy for the back and forth error compensation and correction method for solving advection equations

Yao Li, Yingjie Liu, Lili Hu, 2016, Math. Comput..

Back and forth error compensation and correction methods for semi-lagrangian schemes with application to level set interface computations

Yingjie Liu, Todd F. Dupont, T. Dupont, 2006, Math. Comput..

Central Discontinuous Galerkin Methods on Overlapping Cells with a Nonoscillatory Hierarchical Reconstruction

Chi-Wang Shu, Eitan Tadmor, Yingjie Liu, 2007, SIAM J. Numer. Anal..

Simplification. Conservation and Adaptivity in the Front Tracking Method

J. Glimm, Yingjie Liu, Xiaolin Li, 2003 .

Conservative Front Tracking in Higher SpaceDimensionsJames Glimm

Yingjie Liu, X. Li, 2009 .