default author photo

Xu Qian

National University of Defense Technology

Changsha Hunan, 410073

China

SCHOLARLY PAPERS

7

DOWNLOADS

573

TOTAL CITATIONS

1

Scholarly Papers (7)

1.

A Modified Physics Informed Neural Networks for Solving the Partial Differential Equation with Conservation Laws

Number of pages: 15 Posted: 10 Nov 2022
National University of Defense Technology, National University of Defense Technology, National University of Defense Technology and National University of Defense Technology
Downloads 346 (221,253)

Abstract:

Loading...

physics informed neural networks, conserved quantities, weighted loss function, numerical experiments

2.

A Second-Order Maximum Bound Principle-Preserving Exponential Runge--Kutta Scheme for the Convective Allen--Cahn Equation

Number of pages: 17 Posted: 30 Dec 2024
National University of Defense Technology, National University of Defense Technology, National University of Defense Technology and National University of Defense Technology
Downloads 69 (907,769)

Abstract:

Loading...

Convective Allen--Cahn equation, Stabilization technique, Exponential Runge--Kutta scheme, Maximum bound principle

3.

Randomized Radial Basis Function Neural Network for Solving  Multiscale Elliptic Equations

Number of pages: 33 Posted: 01 Jun 2024
National University of Defense Technology, National University of Defense Technology, Institute of Applied Physics and Computational Mathematics and National University of Defense Technology
Downloads 45 (1,121,190)

Abstract:

Loading...

Multiscale elliptic equations, Randomized radial basis function neural network, Domain decomposition, Weak formulation, Least squares method.

4.

High-Order, Large Time-Stepping Integrators for Scalar Hyperbolic Conservation Laws

Number of pages: 18 Posted: 27 Mar 2023
National University of Defense Technology, National University of Defense Technology, National University of Defense Technology and National University of Defense Technology
Downloads 45 (1,133,231)

Abstract:

Loading...

parametric relaxation Runge--Kutta, large time steps, without delay, conservation law

5.

Physics Informed Neural Networks with Variable Eddington Factor Iteration for Linear Radiative Transfer Equations

Number of pages: 31 Posted: 22 Feb 2025
National University of Defense Technology, National University of Defense Technology, National University of Defense Technology and Institute of Applied Physics and Computational Mathematics
Downloads 32 (1,290,922)
Citation 1

Abstract:

Loading...

Linear radiative transfer equations, Variable Eddington factor, Physics informed neural networks, Asymptotic preserving.

6.

Structure-preserving semi-implicit hybrid nonstaggered central and Godunov-type schemes at wet-dry fronts for the rotating shallow water equations

Number of pages: 35 Posted: 06 Oct 2025
National University of Defense Technology, National University of Defense Technology, National University of Defense Technology, National University of Defense Technology and National University of Defense Technology
Downloads 19 (1,481,165)

Abstract:

Loading...

Shallow water equations, Wet-dry fronts, Semi-implicit hybrid nonstaggered central and Godunov-type scheme, Well-balancing, Positivity preserving

7.

A novel explicit energy-preserving wavelet collocation scheme for the semilinear Klein-Gordon equations

Number of pages: 44 Posted: 10 Feb 2026
National University of Defense Technology, National University of Defense Technology, National University of Defense Technology, National University of Defense Technology and National University of Defense Technology
Downloads 17 (1,509,872)

Abstract:

Loading...

Relaxation technique, Wavelet collocation method, Semilinear Klein-Gordon equation, Energy-preserving schemes