Yan Xu
Orcid: 0000-0001-6483-4336Affiliations:
- University of Science and Technology of China, School of Mathematical Sciences, Hefei, China
According to our database1,
Yan Xu
authored at least 49 papers
between 2007 and 2024.
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Bibliography
2024
Entropy dissipative higher order accurate positivity preserving time-implicit discretizations for nonlinear degenerate parabolic equations.
J. Comput. Appl. Math., May, 2024
J. Comput. Appl. Math., January, 2024
2023
High order structure-preserving arbitrary Lagrangian-Eulerian discontinuous Galerkin methods for the Euler equations under gravitational fields.
Comput. Math. Appl., September, 2023
Structure-preserving finite volume arbitrary Lagrangian-Eulerian WENO schemes for the shallow water equations.
J. Comput. Phys., 2023
Error estimates of the local discontinuous Galerkin methods for two-dimensional (μ)-Camassa-Holm equations.
J. Comput. Appl. Math., 2023
2022
Numerical Simulation of Singularity Propagation Modeled by Linear Convection Equations with Spatially Heterogeneous Nonlocal Interactions.
J. Sci. Comput., 2022
Accuracy-Enhancement of Discontinuous Galerkin Methods for PDEs Containing High Order Spatial Derivatives.
J. Sci. Comput., 2022
J. Sci. Comput., 2022
2021
Positivity-Preserving Well-Balanced Arbitrary Lagrangian-Eulerian Discontinuous Galerkin Methods for the Shallow Water Equations.
J. Sci. Comput., 2021
J. Sci. Comput., 2021
A discontinuous Galerkin method and its error estimate for nonlinear fourth-order wave equations.
J. Comput. Appl. Math., 2021
Error Analysis of an Unconditionally Energy Stable Local Discontinuous Galerkin Scheme for the Cahn-Hilliard Equation with Concentration-Dependent Mobility.
Comput. Methods Appl. Math., 2021
2020
High Order Numerical Simulations for the Binary Fluid-Surfactant System Using the Discontinuous Galerkin and Spectral Deferred Correction Methods.
SIAM J. Sci. Comput., 2020
An ultraweak-local discontinuous Galerkin method for PDEs with high order spatial derivatives.
Math. Comput., 2020
Stability analysis and error estimates of local discontinuous Galerkin methods with semi-implicit spectral deferred correction time-marching for the Allen-Cahn equation.
J. Comput. Appl. Math., 2020
2019
Positivity Preserving Limiters for Time-Implicit Higher Order Accurate Discontinuous Galerkin Discretizations.
SIAM J. Sci. Comput., 2019
Superconvergence of Arbitrary Lagrangian-Eulerian Discontinuous Galerkin Methods for Linear Hyperbolic Equations.
SIAM J. Numer. Anal., 2019
Local Discontinuous Galerkin Methods for the μ-Camassa-Holm and μ-Degasperis-Procesi Equations.
J. Sci. Comput., 2019
Discontinuous Galerkin Methods with Optimal L<sup>2</sup> Accuracy for One Dimensional Linear PDEs with High Order Spatial Derivatives.
J. Sci. Comput., 2019
2018
Stability Analysis and Error Estimates of Semi-implicit Spectral Deferred Correction Coupled with Local Discontinuous Galerkin Method for Linear Convection-Diffusion Equations.
J. Sci. Comput., 2018
Globally Divergence-Free Discontinuous Galerkin Methods for Ideal Magnetohydrodynamic Equations.
J. Sci. Comput., 2018
2017
Superconvergence of Local Discontinuous Galerkin Method for One-Dimensional Linear Schrödinger Equations.
J. Sci. Comput., 2017
Discontinuous Galerkin Based Isogeometric Analysis for Geometric Flows and Applications in Geometric Modeling.
J. Sci. Comput., 2017
Discontinuous Galerkin Approximations for Computing Electromagnetic Bloch Modes in Photonic Crystals.
J. Sci. Comput., 2017
Semi-implicit spectral deferred correction methods for highly nonlinear partial differential equations.
J. Comput. Phys., 2017
2016
Local Discontinuous Galerkin Method and High Order Semi-Implicit Scheme for the Phase Field Crystal Equation.
SIAM J. Sci. Comput., 2016
Efficient High Order Semi-implicit Time Discretization and Local Discontinuous Galerkin Methods for Highly Nonlinear PDEs.
J. Sci. Comput., 2016
An h-adaptive local discontinuous Galerkin method for the Navier-Stokes-Korteweg equations.
J. Comput. Phys., 2016
Circuits Syst. Signal Process., 2016
2015
J. Sci. Comput., 2015
Energy Conserving Local Discontinuous Galerkin Methods for the Nonlinear Schrödinger Equation with Wave Operator.
J. Sci. Comput., 2015
A local discontinuous Galerkin method for the (non)-isothermal Navier-Stokes-Korteweg equations.
J. Comput. Phys., 2015
An efficient, unconditionally energy stable local discontinuous Galerkin scheme for the Cahn-Hilliard-Brinkman system.
J. Comput. Phys., 2015
2014
A Local Discontinuous Galerkin Method for the Propagation of Phase Transition in Solids and Fluids.
J. Sci. Comput., 2014
Efficient Solvers of Discontinuous Galerkin Discretization for the Cahn-Hilliard Equations.
J. Sci. Comput., 2014
A dissipation-rate reserving DG method for wave catching-up phenomena in a nonlinearly elastic composite bar.
J. Comput. Phys., 2014
An efficient fully-discrete local discontinuous Galerkin method for the Cahn-Hilliard-Hele-Shaw system.
J. Comput. Phys., 2014
2013
J. Sci. Comput., 2013
2012
Optimal Error Estimates of the Semidiscrete Local Discontinuous Galerkin Methods for High Order Wave Equations.
SIAM J. Numer. Anal., 2012
Accuracy-enhancement of discontinuous Galerkin solutions for convection-diffusion equations in multiple-dimensions.
Math. Comput., 2012
Optimal Error Estimates of the Local Discontinuous Galerkin Method for Surface Diffusion of Graphs on Cartesian Meshes.
J. Sci. Comput., 2012
2010
J. Comput. Phys., 2010
2009
Local Discontinuous Galerkin Method for Surface Diffusion and Willmore Flow of Graphs.
J. Sci. Comput., 2009
2008
Local Discontinuous Galerkin Method for the Hunter--Saxton Equation and Its Zero-Viscosity and Zero-Dispersion Limits.
SIAM J. Sci. Comput., 2008
SIAM J. Numer. Anal., 2008
J. Sci. Comput., 2008
2007
J. Comput. Phys., 2007
J. Comput. Phys., 2007