Space-time discontinuous Galerkin method for nonlinear water waves. - Jaap J. W. van der Vegt; Yan Xu 008 (J. Comput. Phys., 2007)

Local discontinuous Galerkin methods for the Cahn-Hilliard type equations. - Yinhua Xia; Yan Xu 008; Chi-Wang Shu (J. Comput. Phys., 2007)

Discontinuous Hamiltonian Finite Element Method for Linear Hyperbolic Systems. - Yan Xu 008; Jaap J. W. van der Vegt; Onno Bokhove (J. Sci. Comput., 2008)

A Local Discontinuous Galerkin Method for the Camassa-Holm Equation. - Yan Xu 008; Chi-Wang Shu (SIAM J. Numer. Anal., 2008)

Local Discontinuous Galerkin Method for the Hunter–Saxton Equation and Its Zero-Viscosity and Zero-Dispersion Limits. - Yan Xu 008; Chi-Wang Shu (SIAM J. Sci. Comput., 2008)

Local Discontinuous Galerkin Method for Surface Diffusion and Willmore Flow of Graphs. - Yan Xu 008; Chi-Wang Shu (J. Sci. Comput., 2009)

Local discontinuous Galerkin methods for the generalized Zakharov system. - Yinhua Xia; Yan Xu 008; Chi-Wang Shu (J. Comput. Phys., 2010)

Optimal Error Estimates of the Local Discontinuous Galerkin Method for Surface Diffusion of Graphs on Cartesian Meshes. - Liangyue Ji; Yan Xu 008 (J. Sci. Comput., 2012)

Accuracy-enhancement of discontinuous Galerkin solutions for convection-diffusion equations in multiple-dimensions. - Liangyue Ji; Yan Xu 008; Jennifer K. Ryan (Math. Comput., 2012)

Optimal Error Estimates of the Semidiscrete Local Discontinuous Galerkin Methods for High Order Wave Equations. - Yan Xu 008; Chi-Wang Shu (SIAM J. Numer. Anal., 2012)

Negative-Order Norm Estimates for Nonlinear Hyperbolic Conservation Laws. - Liangyue Ji; Yan Xu 008; Jennifer K. Ryan (J. Sci. Comput., 2013)

Tone confusion in spoken and whispered Mandarin Chinese. - Ian Vince McLoughlin; Yan Xu 008; Yan Song 001 (ISCSLP, 2014)

An efficient fully-discrete local discontinuous Galerkin method for the Cahn-Hilliard-Hele-Shaw system. - Ruihan Guo; Yinhua Xia; Yan Xu 008 (J. Comput. Phys., 2014)

A dissipation-rate reserving DG method for wave catching-up phenomena in a nonlinearly elastic composite bar. - Jinfeng Jiang; Yan Xu 008; Hui-Hui Dai (J. Comput. Phys., 2014)

Efficient Solvers of Discontinuous Galerkin Discretization for the Cahn-Hilliard Equations. - Ruihan Guo; Yan Xu 008 (J. Sci. Comput., 2014)

A Local Discontinuous Galerkin Method for the Propagation of Phase Transition in Solids and Fluids. - Lulu Tian; Yan Xu 008; J. G. M. Kuerten; Jaap J. W. van der Vegt (J. Sci. Comput., 2014)

An efficient, unconditionally energy stable local discontinuous Galerkin scheme for the Cahn-Hilliard-Brinkman system. - Ruihan Guo; Yan Xu 008 (J. Comput. Phys., 2015)

A local discontinuous Galerkin method for the (non)-isothermal Navier-Stokes-Korteweg equations. - Lulu Tian; Yan Xu 008; J. G. M. Kuerten; Jaap J. W. van der Vegt (J. Comput. Phys., 2015)

Energy Conserving Local Discontinuous Galerkin Methods for the Nonlinear Schrödinger Equation with Wave Operator. - Li Guo; Yan Xu 008 (J. Sci. Comput., 2015)

Local Discontinuous Galerkin Methods for the Functionalized Cahn-Hilliard Equation. - Ruihan Guo; Yan Xu 008; Zhengfu Xu (J. Sci. Comput., 2015)

Improved i-Vector Representation for Speaker Diarization. - Yan Xu 008; Ian McLoughlin 001; Yan Song 001; Kui Wu (Circuits Syst. Signal Process., 2016)

An h-adaptive local discontinuous Galerkin method for the Navier-Stokes-Korteweg equations. - Lulu Tian; Yan Xu 008; J. G. M. Kuerten; Jaap J. W. van der Vegt (J. Comput. Phys., 2016)

Efficient High Order Semi-implicit Time Discretization and Local Discontinuous Galerkin Methods for Highly Nonlinear PDEs. - Ruihan Guo; Francis Filbet; Yan Xu 008 (J. Sci. Comput., 2016)

Local Discontinuous Galerkin Method and High Order Semi-Implicit Scheme for the Phase Field Crystal Equation. - Ruihan Guo; Yan Xu 008 (SIAM J. Sci. Comput., 2016)

Semi-implicit spectral deferred correction methods for highly nonlinear partial differential equations. - Ruihan Guo; Yinhua Xia; Yan Xu 008 (J. Comput. Phys., 2017)

Discontinuous Galerkin Approximations for Computing Electromagnetic Bloch Modes in Photonic Crystals. - Zhongjie Lu; Ayçil Çesmelioglu; Jaap J. W. van der Vegt; Yan Xu 008 (J. Sci. Comput., 2017)

Discontinuous Galerkin Based Isogeometric Analysis for Geometric Flows and Applications in Geometric Modeling. - Futao Zhang; Yan Xu 008; Falai Chen (J. Sci. Comput., 2017)

Superconvergence of Local Discontinuous Galerkin Method for One-Dimensional Linear Schrödinger Equations. - Lingling Zhou; Yan Xu 008; Zhimin Zhang 002; Waixiang Cao (J. Sci. Comput., 2017)

Spectral approximation for polynomial eigenvalue problems. - Zhongjie Lu; Jaap J. W. van der Vegt; Yan Xu 008 (Comput. Math. Appl., 2018)

Globally Divergence-Free Discontinuous Galerkin Methods for Ideal Magnetohydrodynamic Equations. - Pei Fu; Fengyan Li; Yan Xu 008 (J. Sci. Comput., 2018)

Stability Analysis and Error Estimates of Semi-implicit Spectral Deferred Correction Coupled with Local Discontinuous Galerkin Method for Linear Convection-Diffusion Equations. - Lingling Zhou; Yan Xu 008 (J. Sci. Comput., 2018)

Discontinuous Galerkin Methods with Optimal L2 Accuracy for One Dimensional Linear PDEs with High Order Spatial Derivatives. - Pei Fu; Yingda Cheng; Fengyan Li; Yan Xu 008 (J. Sci. Comput., 2019)

Local Discontinuous Galerkin Methods for the μ-Camassa-Holm and μ-Degasperis-Procesi Equations. - Chao Zhang; Yan Xu 008; Yinhua Xia (J. Sci. Comput., 2019)

Superconvergence of Arbitrary Lagrangian-Eulerian Discontinuous Galerkin Methods for Linear Hyperbolic Equations. - Qi Tao; Yan Xu 008 (SIAM J. Numer. Anal., 2019)

Positivity Preserving Limiters for Time-Implicit Higher Order Accurate Discontinuous Galerkin Discretizations. - Jaap J. W. van der Vegt; Yinhua Xia; Yan Xu 008 (SIAM J. Sci. Comput., 2019)

Stability analysis and error estimates of local discontinuous Galerkin methods with semi-implicit spectral deferred correction time-marching for the Allen-Cahn equation. - Fengna Yan; Yan Xu 008 (J. Comput. Appl. Math., 2020)

An ultraweak-local discontinuous Galerkin method for PDEs with high order spatial derivatives. - Qi Tao; Yan Xu 008; Chi-Wang Shu (Math. Comput., 2020)

High Order Numerical Simulations for the Binary Fluid-Surfactant System Using the Discontinuous Galerkin and Spectral Deferred Correction Methods. - Ruihan Guo; Yan Xu 008 (SIAM J. Sci. Comput., 2020)

Error Analysis of an Unconditionally Energy Stable Local Discontinuous Galerkin Scheme for the Cahn-Hilliard Equation with Concentration-Dependent Mobility. - Fengna Yan; Yan Xu 008 (Comput. Methods Appl. Math., 2021)

Dissipative and conservative local discontinuous Galerkin methods for the Fornberg-Whitham type equations. - Qian Zhang; Yan Xu 008; Chi-Wang Shu (CoRR, 2021)

A discontinuous Galerkin method and its error estimate for nonlinear fourth-order wave equations. - Qi Tao; Yan Xu 008; Chi-Wang Shu (J. Comput. Appl. Math., 2021)

Local Discontinuous Galerkin Methods to a Dispersive System of KdV-Type Equations. - Chao Zhang; Yan Xu 008; Yinhua Xia (J. Sci. Comput., 2021)

Positivity-Preserving Well-Balanced Arbitrary Lagrangian-Eulerian Discontinuous Galerkin Methods for the Shallow Water Equations. - Weijie Zhang; Yinhua Xia; Yan Xu 008 (J. Sci. Comput., 2021)

A Parallel Eigensolver for Photonic Crystals Discretized by Edge Finite Elements. - Zhongjie Lu; Yan Xu 008 (J. Sci. Comput., 2022)

Accuracy-Enhancement of Discontinuous Galerkin Methods for PDEs Containing High Order Spatial Derivatives. - Qi Tao; Liangyue Ji; Jennifer K. Ryan; Yan Xu 008 (J. Sci. Comput., 2022)

Numerical Simulation of Singularity Propagation Modeled by Linear Convection Equations with Spatially Heterogeneous Nonlocal Interactions. - Xiaoxuan Yu; Yan Xu 008; Qiang Du 001 (J. Sci. Comput., 2022)

Error estimates of the local discontinuous Galerkin methods for two-dimensional (μ)-Camassa-Holm equations. - Jinyang Lu; Yan Xu 008; Chao Zhang (J. Comput. Appl. Math., 2023)

Structure-preserving finite volume arbitrary Lagrangian-Eulerian WENO schemes for the shallow water equations. - Jiahui Zhang; Yinhua Xia; Yan Xu 008 (J. Comput. Phys., 2023)

Moving Water Equilibria Preserving Discontinuous Galerkin Method for the Shallow Water Equations. - Jiahui Zhang; Yinhua Xia; Yan Xu 008 (J. Sci. Comput., 2023)

High order structure-preserving arbitrary Lagrangian-Eulerian discontinuous Galerkin methods for the Euler equations under gravitational fields. - Weijie Zhang; Yulong Xing; Yinhua Xia; Yan Xu 008 (Comput. Math. Appl., 2023)

Stability of implicit deferred correction methods based on BDF methods. - Lin Yao; Yinhua Xia; Yan Xu 008 (Appl. Math. Lett., 2024)

Equilibrium preserving space in discontinuous Galerkin methods for hyperbolic balance laws. - Jiahui Zhang; Yinhua Xia; Yan Xu 008 (CoRR, 2024)

The local discontinuous Galerkin method for the nonlinear quantum Zakharov system. - Fan Wang; Qi Tao; Yan Xu 008 (J. Comput. Appl. Math., 2024)

Entropy dissipative higher order accurate positivity preserving time-implicit discretizations for nonlinear degenerate parabolic equations. - Fengna Yan; Jaap J. W. van der Vegt; Yinhua Xia; Yan Xu 008 (J. Comput. Appl. Math., 2024)

High Order Energy Stable Local Discontinuous Galerkin Methods for Camassa-Holm-Novikov Equations. - Jinyang Lu; Yan Xu 008 (Comput. Methods Appl. Math., 2025)

Well-balanced path-conservative discontinuous Galerkin methods with equilibrium preserving space for two-layer shallow water equations. - Jiahui Zhang; Yinhua Xia; Yan Xu 008 (J. Comput. Phys., 2025)

Well-balanced discontinuous Galerkin method with flux globalization for rotating shallow water equations. - Jiahui Zhang; Yinhua Xia; Yan Xu 008 (J. Comput. Phys., 2025)

An efficient adaptive algorithm for photon-electron coupled Boltzmann equation in radiation therapy. - Xilin Zhang; Peimeng Yin; Xue Hong; Wei Wu; Wangyao Li; Yuxin Wang; Yan Xu 008; Hao Gao (J. Comput. Phys., 2025)

Kernel compensation method for Maxwell eigenproblem with mimetic finite difference discretization. - Chenhao Jin; Yinhua Xia; Yan Xu 008 (CoRR, 2025)

Well-balanced path-conservative discontinuous Galerkin methods with equilibrium preserving space for shallow water linearized moment equations. - Ruilin Fan; Julian Koellermeier; Yinhua Xia; Yan Xu 008; Jiahui Zhang (CoRR, 2025)

Discontinuous Galerkin Finite Element Methods for Linear Port-Hamiltonian Dynamical Systems. - Xiaoyu Cheng; Jaap J. W. van der Vegt; Yan Xu 008; Hans J. Zwart (J. Sci. Comput., 2025)

An Energy Stable Local Discontinuous Galerkin Method for the Isothermal Navier-Stokes-Korteweg Equations. - Lulu Tian; Yan Xu 008; Yang Yang; Jaap J. W. van der Vegt (J. Sci. Comput., 2025)