Rui Du
Results

Journal Article
A Comparison Study of Deep Galerkin Method and Deep Ritz Method for Elliptic Problems with Different Boundary Conditions
Communications in Mathematical Research, Vol. 36 (2020), Iss. 3 : pp. 354–376

Journal Article
Enforcing Exact Boundary and Initial Conditions in the Deep Mixed Residual Method
CSIAM Transactions on Applied Mathematics, Vol. 2 (2021), Iss. 4 : pp. 748–775

Journal Article
Fast Finite Difference Schemes for Time-Fractional Diffusion Equations with a Weak Singularity at Initial Time
East Asian Journal on Applied Mathematics, Vol. 8 (2018), Iss. 4 : pp. 834–858

Journal Article
Lubich Second-Order Methods for Distributed-Order Time-Fractional Differential Equations with Smooth Solutions
East Asian Journal on Applied Mathematics, Vol. 6 (2016), Iss. 2 : pp. 131–151

Journal Article
A Second-Order Semi-Implicit Method for the Inertial Landau-Lifshitz-Gilbert Equation
Numerical Mathematics: Theory, Methods and Applications, Vol. 16 (2023), Iss. 1 : pp. 182–203

Journal Article
Quasi-Monte Carlo Sampling for Solving Partial Differential Equations by Deep Neural Networks
Numerical Mathematics: Theory, Methods and Applications, Vol. 14 (2021), Iss. 2 : pp. 377–404

Journal Article
A Linearized Second-Order Difference Scheme for the Nonlinear Time-Fractional Fourth-Order Reaction-Diffusion Equation
Numerical Mathematics: Theory, Methods and Applications, Vol. 12 (2019), Iss. 4 : pp. 1168–1190

Journal Article
Towards Preserving Geometric Properties of Landau-Lifshitz-Gilbert Equation Using Multistep Methods
Communications in Computational Physics, Vol. 35 (2024), Iss. 5 : pp. 1327–1351

Journal Article
Error Analysis of the Mixed Residual Method for Elliptic Equations
Numerical Mathematics: Theory, Methods and Applications, Vol. 17 (2024), Iss. 2 : pp. 534–554

Journal Article
A Label-Free Hybrid Iterative Numerical Transferable Solver for Partial Differential Equations
CSIAM Transactions on Applied Mathematics, Vol. 5 (2024), Iss. 4 : pp. 712–734

Journal Article
A Third-Order Implicit-Explicit Runge-Kutta Method for Landau-Lifshitz Equation with Arbitrary Damping Parameters
Numerical Mathematics: Theory, Methods and Applications, Vol. 17 (2024), Iss. 4 : pp. 1041–1073