Yinhua Xia

Orcid: 0000-0001-8120-3560

According to our database1, Yinhua Xia authored at least 35 papers between 2007 and 2024.

Collaborative distances:
  • Dijkstra number2 of five.
  • Erdős number3 of four.

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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

Discontinuous Galerkin Method Based on the Reduced Space for the Nonlinear Convection-Diffusion-Reaction Equation.
J. Sci. Comput., April, 2024

An indicator-based hybrid limiter in discontinuous Galerkin methods for hyperbolic conservation laws.
J. Comput. Phys., February, 2024

Well-balanced path-conservative discontinuous Galerkin methods with equilibrium preserving space for two-layer shallow water equations.
CoRR, 2024

Equilibrium preserving space in discontinuous Galerkin methods for hyperbolic balance laws.
CoRR, 2024

2023
High order structure-preserving arbitrary Lagrangian-Eulerian discontinuous Galerkin methods for the Euler equations under gravitational fields.
Comput. Math. Appl., September, 2023

Moving Water Equilibria Preserving Discontinuous Galerkin Method for the Shallow Water Equations.
J. Sci. Comput., May, 2023

Structure-preserving finite volume arbitrary Lagrangian-Eulerian WENO schemes for the shallow water equations.
J. Comput. Phys., 2023

A reduced basis warm-start iterative solver for the parameterized systems.
CoRR, 2023

2022
Fast $L^2$ Optimal Mass Transport via Reduced Basis Methods for the Monge-Ampère Equation.
SIAM J. Sci. Comput., 2022

Arbitrary Lagrangian-Eulerian Local Discontinuous Galerkin Method for Linear Convection-Diffusion Equations.
J. Sci. Comput., 2022

An Oscillation-free Discontinuous Galerkin Method for Shallow Water Equations.
J. Sci. Comput., 2022

A hybrid WENO scheme for steady-state simulations of Euler equations.
J. Comput. Phys., 2022

The positivity preserving property on the high order arbitrary Lagrangian-Eulerian discontinuous Galerkin method for Euler equations.
J. Comput. Phys., 2022

2021
Positivity-Preserving Well-Balanced Arbitrary Lagrangian-Eulerian Discontinuous Galerkin Methods for the Shallow Water Equations.
J. Sci. Comput., 2021

Local Discontinuous Galerkin Methods to a Dispersive System of KdV-Type Equations.
J. Sci. Comput., 2021

Fast L<sup>2</sup> optimal mass transport via reduced basis methods for the Monge-Ampère equation.
CoRR, 2021

A well-balanced oscillation-free discontinuous Galerkin method for shallow water equations.
CoRR, 2021

2020
Arbitrary Lagrangian-Eulerian Discontinuous Galerkin Method for Hyperbolic Equations Involving δ-Singularities.
SIAM J. Numer. Anal., 2020

Discontinuous Galerkin Methods for the Ostrovsky-Vakhnenko Equation.
J. Sci. Comput., 2020

Conservative discontinuous Galerkin methods for the nonlinear Serre equations.
J. Comput. Phys., 2020

2019
Positivity Preserving Limiters for Time-Implicit Higher Order Accurate Discontinuous Galerkin Discretizations.
SIAM J. Sci. Comput., 2019

Arbitrary Lagrangian-Eulerian discontinuous Galerkin method for conservation laws on moving simplex meshes.
Math. Comput., 2019

Local Discontinuous Galerkin Methods for the μ-Camassa-Holm and μ-Degasperis-Procesi Equations.
J. Sci. Comput., 2019

Discontinuous Galerkin methods for short pulse type equations via hodograph transformations.
J. Comput. Phys., 2019

Error estimates and post-processing of local discontinuous Galerkin method for Schrödinger equations.
J. Comput. Appl. Math., 2019

2017
Arbitrary Lagrangian-Eulerian discontinuous Galerkin method for conservation laws: Analysis and application in one dimension.
Math. Comput., 2017

An Arbitrary Lagrangian-Eulerian Local Discontinuous Galerkin Method for Hamilton-Jacobi Equations.
J. Sci. Comput., 2017

Semi-implicit spectral deferred correction methods for highly nonlinear partial differential equations.
J. Comput. Phys., 2017

2015
A fully discrete stable discontinuous Galerkin method for the thin film epitaxy problem without slope selection.
J. Comput. Phys., 2015

2014
Fourier Spectral Methods for Degasperis-Procesi Equation with Discontinuous Solutions.
J. Sci. Comput., 2014

An efficient fully-discrete local discontinuous Galerkin method for the Cahn-Hilliard-Hele-Shaw system.
J. Comput. Phys., 2014

2012
Maximum-Principle-Satisfying and Positivity-Preserving High Order Discontinuous Galerkin Schemes for Conservation Laws on Triangular Meshes.
J. Sci. Comput., 2012

2010
Local discontinuous Galerkin methods for the generalized Zakharov system.
J. Comput. Phys., 2010

2007
Local discontinuous Galerkin methods for the Cahn-Hilliard type equations.
J. Comput. Phys., 2007


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