Cheng Yuan
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
DPK: Deep Neural Network Approximation of the First Piola-Kirchhoff Stress
Advances in Applied Mathematics and Mechanics, Vol. 16 (2024), Iss. 1 : pp. 75–100
Journal Article
Practical Absorbing Boundary Conditions for Wave Propagation on Arbitrary Domain
Advances in Applied Mathematics and Mechanics, Vol. 12 (2020), Iss. 6 : pp. 1384–1415
Journal Article
A Rate of Convergence of Weak Adversarial Neural Networks for the Second Order Parabolic PDEs
Communications in Computational Physics, Vol. 34 (2023), Iss. 3 : pp. 813–836
Journal Article
Extended Synchronous Variational Integrators for Wave Propagations on Non-Uniform Meshes
Communications in Computational Physics, Vol. 28 (2020), Iss. 2 : pp. 691–722
Journal Article
An Effective and Easy-to-Implement Boundary Condition for Molecular Dynamics Simulations
Communications in Computational Physics, Vol. 26 (2019), Iss. 1 : pp. 192–205
Journal Article
Boundary Condition for Dislocation Dynamic Simulation in BCC Crystal
CSIAM Transactions on Applied Mathematics, Vol. 2 (2021), Iss. 1 : pp. 175–194
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
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
Improved Analysis of PINNs: Alleviate the CoD for Compositional Solutions
Annals of Applied Mathematics, Vol. 39 (2023), Iss. 3 : pp. 239–263
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