Search Results

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

  Jingrun Chen, Shi Jin, Liyao Lyu

  2022-03-30

  47296 3061 Pages:1296-1316

• A Polynomial Chaos Expansion Trust Region Method for Robust Optimization

  Samih Zein

  2014-08-05

  40783 4008 Pages:412-424

• Topology Optimization of Capillary, Two-Phase Flow Problems

  Yongbo Deng, Zhenyu Liu, Yihui Wu

  2017-11-02

  42543 3494 Pages:1413-1438

• An Augmented Lagrangian Deep Learning Method for Variational Problems with Essential Boundary Conditions

  Jianguo Huang, Haoqin Wang, Tao Zhou

  2022-03-03

  50710 3358 Pages:966-986

• An Adaptive ANOVA-Based Data-Driven Stochastic Method for Elliptic PDEs with Random Coefficient

  Zhiwen Zhang, Xin Hu, Thomas Y. Hou, Guang Lin, Mike Yan

  2014-12-08

  39709 3969 Pages:571-598

• Finite Neuron Method and Convergence Analysis

  Jinchao Xu

  2020-11-18

  70599 3843 Pages:1707-1745

• Accurate Adaptive Deep Learning Method for Solving Elliptic Problems

  Jinyong Ying, Yaqi Xie, Jiao Li, Hongqiao Wang

  2025-09-02

  10362 591 Pages:849-876

• Multi-Frequency Contrast Source Inversion for Reflection Seismic Data

  Shoudong Wang, Ru-Shan Wu

  2020-06-05

  51313 4644 Pages:207-227

• A Variational Binary Level Set Method for Structural Topology Optimization

  Xiaoxia Dai, Peipei Tang, Xiaoliang Cheng, Minghui Wu

  2013-05-05

  40365 4242 Pages:1292-1308

• A Stochastic Gradient Descent Method for Computational Design of Random Rough Surfaces in Solar Cells

  Qiang Li, Gang Bao, Yanzhao Cao, Junshan Lin

  2023-12-11

  31323 2635 Pages:1361-1390

• Optimization-Based String Method for Finding Minimum Energy Path

  Amit Samanta, E. Weinan

  2014-08-05

  41140 4622 Pages:265-275

• An Efficient Iterative Method for the Formulation of Flow Networks

  Wei Hu, Dong Wang, Xiao-Ping Wang

  2022-05-06

  49671 3410 Pages:1317-1340

• Numerical Method of Profile Reconstruction for a Periodic Transmission Problem from Single-Sided Data

  Mingming Zhang, Junliang Lv

  2018-09-17

  45576 3485 Pages:435-453

• An Optimization Method in Inverse Elastic Scattering for One-Dimensional Grating Profiles

  Johannes Elschner, Guanghui Hu

  2012-12-01

  43224 4148 Pages:1434-1460

• An Efficient Real Space Method for Orbital-Free Density-Functional Theory

  C. J. García-Cervera

  2018-03-24

  39859 3735 Pages:334-357

• Improved Randomized Neural Network Methods with Boundary Processing for Solving Elliptic Equations

  Huifang Zhou, Zhiqiang Sheng

  2026-01-15

  3203 293 Pages:147-184

• Neural Networks with Local Converging Inputs (NNLCI) for Solving Conservation Laws, Part II: 2D Problems

  Haoxiang Huang, Vigor Yang, Yingjie Liu

  2023-11-08

  77237 3709 Pages:907-933

• Solution Remapping Method with Lower Bound Preservation for Navier-Stokes Equations in Aerodynamic Shape Optimization

  Bin Zhang, Weixiong Yuan, Kun Wang, Jufang Wang, Tiegang Liu

  2023-06-06

  39206 2950 Pages:1381-1408

• A New Earthquake Location Method Based on the Waveform Inversion

  Hao Wu, Jing Chen, Xueyuan Huang, Dinghui Yang

  2018-07-03

  47894 5257 Pages:118-141

• Computing Eigenvalues and Eigenfunctions of Schrödinger Equations Using a Model Reduction Approach

  Shuangping Li, Zhiwen Zhang

  2020-07-31

  46403 3400 Pages:1073-1100

• Parameter Identification in Uncertain Scalar Conservation Laws Discretized with the Discontinuous Stochastic Galerkin Scheme

  Louisa Schlachter, Claudia Totzeck

  2020-08-27

  48409 3042 Pages:1585-1608

• Extended Physics-Informed Neural Networks (XPINNs): A Generalized Space-Time Domain Decomposition Based Deep Learning Framework for Nonlinear Partial Differential Equations

  Ameya D. Jagtap, George Em Karniadakis

  2020-11-18

  151476 6984 Pages:2002-2041

• Image Charge Method for Reaction Fields in a Hybrid Ion-Channel Model

  Zhenli Xu, Wei Cai, Xiaolin Cheng

  2011-09-01

  38424 3952 Pages:1056-1070

• Investigating and Mitigating Failure Modes in Physics-Informed Neural Networks (PINNs)

  Shamsulhaq Basir

  2023-06-06

  41856 3030 Pages:1240-1269

• Numerical Identification of Nonlocal Potentials in Aggregation

  Yuchen He, Sung Ha Kang, Wenjing Liao, Hao Liu, Yingjie Liu

  2022-09-29

  41712 3358 Pages:638-670

• A Non-Ersatz Material Approach for the Topology Optimization of Elastic Structures Based on Piecewise Constant Level Set Method

  Zhengfang Zhang, Yanqiang Dong, Weifeng Chen

  2021-10-26

  46659 3381 Pages:1370-1389