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Hamiltonian Reduction Using a Convolutional Auto-Encoder Coupled to a Hamiltonian Neural Network
11762 870 Pages:315-352 -
Dirichlet-Neumann Learning Algorithm for Solving Elliptic Interface Problems
5279 579 Pages:248-284 -
Numerical Solution of the Incompressible Navier-Stokes Equation by a Deep Branching Algorithm
33490 2855 Pages:261-289 -
Deep Unfitted Nitsche Method for Elliptic Interface Problems
52625 3284 Pages:1162-1179 -
A Multi-Scale DNN Algorithm for Nonlinear Elliptic Equations with Multiple Scales
67253 3664 Pages:1886-1906 -
Deep Nitsche Method: Deep Ritz Method with Essential Boundary Conditions
53300 3485 Pages:1365-1384 -
Deep Learning-Based Reduced-Order Methods for Fast Transient Dynamics
1892 137 Pages:635-660 -
Weak Minimization-Sampling Network for Solving PDEs
1690 76 Pages:696-712 -
Deep Learning-Based Computational Method for Soft Matter Dynamics: Deep Onsager-Machlup Method
11749 752 Pages:353-382 -
Convergence Analysis of PINNs with Over-Parameterization
9192 531 Pages:942-974 -
Integral Regularization PINNs for Evolution Equations
3808 139 Pages:356-386 -
Preface
245 60 Pages:i-i