Jian Yang
Results
Journal Article
Improved Analysis of PINNs: Alleviate the CoD for Compositional Solutions
Annals of Applied Mathematics, Vol. 39 (2023), Iss. 3 : pp. 239–263
Journal Article
Numerical Methods for the Nonlinear Dirac Equation in the Massless Nonrelativistic Regime
East Asian Journal on Applied Mathematics, Vol. 14 (2024), Iss. 1 : pp. 79–103
Journal Article
A Stabilized Physics Informed Neural Networks Method for Wave Equations
Numerical Mathematics: Theory, Methods and Applications, Vol. 17 (2024), Iss. 4 : pp. 1100–1127
Journal Article
Analysis of Deep Ritz Methods for Semilinear Elliptic Equations
Numerical Mathematics: Theory, Methods and Applications, Vol. 17 (2024), Iss. 1 : pp. 181–209
Journal Article
Recovering the Source Term in Elliptic Equation via Deep Learning: Method and Convergence Analysis
East Asian Journal on Applied Mathematics, Vol. 14 (2024), Iss. 3 : pp. 460–489
Journal Article
Convergence Analysis for Over-Parameterized Deep Learning
Communications in Computational Physics, Vol. 36 (2024), Iss. 1 : pp. 71–103
Journal Article
Improved Analysis of PINNs: Alleviate the CoD for Compositional Solutions
Annals of Applied Mathematics, Vol. 39 (2023), Iss. 3 : pp. 239–263
Journal Article
An Efficient and Unconditionally Energy Stable Scheme for Simulating Solid-State Dewetting of Thin Films with Isotropic Surface Energy
Communications in Computational Physics, Vol. 26 (2019), Iss. 5 : pp. 1444–1470
Journal Article
The Discontinuous Galerkin Method by Divergence-Free Patch Reconstruction for Stokes Eigenvalue Problems
Numerical Mathematics: Theory, Methods and Applications, Vol. 15 (2022), Iss. 2 : pp. 484–509
Journal Article
Hierarchical Absorbing Interface Conditions for Wave Propagation on Non-Uniform Meshes
Numerical Mathematics: Theory, Methods and Applications, Vol. 15 (2022), Iss. 1 : pp. 251–278
Journal Article
Absorbing Interface Conditions for the Simulation of Wave Propagation on Non-Uniform Meshes
Numerical Mathematics: Theory, Methods and Applications, Vol. 16 (2023), Iss. 2 : pp. 433–452
Journal Article
Blowup of the Solutions for a Reaction-Advection-Diffusion Equation with Free Boundaries
Journal of Partial Differential Equations, Vol. 36 (2023), Iss. 4 : pp. 394–403