Gauss Newton Method for Solving Variational Problems of PDEs with Neural Network Discretizaitons - Hao, Wenrui; Hong, Qingguo; Jin, Xianlin (Journal of scientific computing, 2024)
Keywords: Algorithms; Approximation; Boundary conditions; Computational mathematics; Computational Mathematics and Numerical Analysis; Differential equations; Energy; Greedy algorithms; Machine learning; Mathematical analysis; Mathematical and Computational Engineering; Mathematical and Computational Physics; Mathematics; Mathematics and Statistics; Methods; Neural networks; Newton methods; Nonlinear equations; Partial differential equations; Ritz method; Theoretical; Gauss–Newton method; Variational form; Partial differential equations; Neural network discretization; Convergence analysis; Gauss-Newton method