Search Results

• Numerical Simulations for Full History Recursive Multilevel Picard Approximations for Systems of High-Dimensional Partial Differential Equations

  Sebastian Becker, Ramon Braunwarth, Martin Hutzenthaler, Arnulf Jentzen, Philippe von Wurstemberger

  2020-11-18

  64580 3388 Pages:2109-2138

• Score-fPINN: Fractional Score-Based Physics-Informed Neural Networks for High-Dimensional Fokker-Planck-Lévy Equations

  Zheyuan Hu, Zhongqiang Zhang, George Em Karniadakis, Kenji Kawaguchi

  2026-04-10

  157 48 Pages:1-26

• A Consensus-Based Global Optimization Method with Adaptive Momentum Estimation

  Jingrun Chen, Shi Jin, Liyao Lyu

  2022-03-30

  47296 3061 Pages:1296-1316

• VAE-KRnet and Its Applications to Variational Bayes

  Xiaoliang Wan, Shuangqing Wei

  2022-03-30

  52391 3287 Pages:1049-1082

• Local Discontinuous Galerkin Method for Nonlinear BSPDEs of Neumann Boundary Conditions with Deep Backward Dynamic Programming Time-Marching

  Yixiang Dai, Yunzhang Li, Jing Zhang

  2026-01-18

  785 122 Pages:1299-1331

• A Sparse Grid Wavelet Galerkin Method for 3-D Static Piezoelectric Equations

  Jianguo Huang, Likun Qiu

  2024-09-06

  19805 1619 Pages:419-450

• A Kolmogorov High Order Deep Neural Network for High Frequency Partial Differential Equations in High Dimensions

  Yaqin Zhang, Ke Li, Zhipeng Chang, Xuejiao Liu, Yunqing Huang, Xueshuang Xiang

  2025-07-11

  5373 896 Pages:181-222

• Deep Unfitted Nitsche Method for Elliptic Interface Problems

  Hailong Guo, Xu Yang

  2022-03-30

  52740 3338 Pages:1162-1179

• Deep Nitsche Method: Deep Ritz Method with Essential Boundary Conditions

  Yulei Liao, Pingbing Ming

  2021-03-24

  53500 3565 Pages:1365-1384

• An Adaptive Surrogate Modeling Based on Deep Neural Networks for Large-Scale Bayesian Inverse Problems

  Liang Yan, Tao Zhou

  2020-11-18

  67480 3473 Pages:2180-2205

• A Multi-Scale DNN Algorithm for Nonlinear Elliptic Equations with Multiple Scales

  Xi-An Li, Zhi-Qin John Xu, Lei Zhang

  2020-11-18

  67426 3706 Pages:1886-1906

• A Distributed Optimal Control Problem with Averaged Stochastic Gradient Descent

  Qi Sun, Qiang Du

  2020-07-30

  46714 3744 Pages:753-774

• Efficient Stabilization of Advection Terms Involved in Separated Representations of Boltzmann and Fokker-Planck Equations

  F. Chinesta, E. Abisset-Chavanne, A. Ammar, E. Cueto

  2018-04-02

  38833 3012 Pages:975-1006

• A Numerical Comparison Between Quasi-Monte Carlo and Sparse Grid Stochastic Collocation Methods

  Juarez dos Santos Azevedo, Saulo Pomponet Oliveira

  2012-12-01

  40333 4058 Pages:1051-1069