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• Stochastic Trust-Region Methods with Trust-Region Radius Depending on Probabilistic Models

  Xiaoyu Wang, Yaxiang Yuan

  2022-10-06

  49949 3407 Pages:294-334

• On Distributed $H^1$ Shape Gradient Flows in Optimal Shape Design of Stokes Flows: Convergence Analysis and Numerical Applications

  Jiajie Li, Shengfeng Zhu

  2022-10-06

  37487 2980 Pages:231-257

• An Acceleration Strategy for Randomize-Then-Optimize Sampling via Deep Neural Networks

  Liang Yan, Tao Zhou

  2021-11-19

  42600 3612 Pages:848-864

• Physics Informed Neural Networks (PINNs) For Approximating Nonlinear Dispersive PDEs

  Genming Bai, Ujjwal Koley, Siddhartha Mishra, Roberto Molinaro

  2021-11-19

  41249 3720 Pages:816-847

• The Schwarz Chaotic Relaxation Method with Inexact Solvers on the Subdomains

  Jian-Guo Huang

  1999-04-02

  32164 3228 Pages:125-132

• Adaptive Stochastic Meshfree Methods for Optimal Control Problem Governed by Random Elliptic Equations

  Liang Ge, Tongjun Sun, Wanfang Shen, Wenbin Liu

  2025-07-12

  5893 453 Pages:813-839

• Near-Field Imaging of an Inhomogeneous Cavity with a Modified Factorization Method

  Yanli Cui, Fenglong Qu, Xiliang Li

  2024-11-19

  11282 1024 Pages:394-412

• Reconstruction-Based a Posteriori Error Estimates for the L1 Method for Time Fractional Parabolic Problems

  Jiliang Cao, Aiguo Xiao, Wansheng Wang

  2024-11-19

  11551 1023 Pages:345-368

• Regularity Theory and Numerical Algorithm for the Time-Fractional Klein-Kramers Equation

  Jing Sun, Daxin Nie, Weihua Deng

  2024-11-19

  13998 1108 Pages:257-279

• Tensor Neural Network and Its Numerical Integration

  Yifan Wang, Hehu Xie, Pengzhan Jin

  2024-11-13

  14571 1206 Pages:1714-1742

• Bézier Splines Interpolation on Stiefel and Grassmann Manifolds

  Ines Adouani, Chafik Samir

  2024-11-13

  11672 1193 Pages:1554-1578

• The Nyström Method for Elastic Wave Scattering by Unbounded Rough Surfaces

  Jianliang Li, Xiaoli Liu, Bo Zhang, Haiwen Zhang

  2024-07-18

  24237 1679 Pages:1407-1426

• Solving Optimization Problems over the Stiefel Manifold by Smooth Exact Penalty Functions

  Nachuan Xiao, Xin Liu

  2024-07-18

  25279 1706 Pages:1246-1276

• A Trust-Region Method for Solving Truncated Complex Singular Value Decomposition

  Jiaofen Li, Lingchang Kong, Xuefeng Duan, Xuelin Zhou, Qilun Luo

  2024-04-09

  26169 1910 Pages:999-1031

• Asymptotic Theory for the Circuit Envelope Analysis

  Chunxiong Zheng, Xianwei Wen, Jinyu Zhang, Zhenya Zhou

  2024-04-09

  26154 1979 Pages:955-978

• Nonmonotone Local Minimax Methods for Finding Multiple Saddle Points

  Wei Liu, Ziqing Xie, Wenfan Yi

  2024-04-08

  18973 1790 Pages:851-884

• Approximating the Stationary Bellman Equation by Hierarchical Tensor Products

  Mathias Oster, Leon Sallandt, Reinhold Schneider

  2024-04-08

  18733 1880 Pages:638-661

• Image Super-Resolution Reconstruction by Huber Regularization and Tailored Finite Point Method

  Wenli Yang, Zhongyi Huang, Wei Zhu

  2024-01-16

  26902 2294 Pages:313-336

• Uniform Error Bounds of a Conservative Compact Finite Difference Method for the Quantum Zakharov System in the Subsonic Limit Regime

  Gengen Zhang, Chunmei Su

  2023-12-01

  28003 2444 Pages:289-312

• Legendre-Gauss-Radau Spectral Collocation Method for Nonlinear Second-Order Initial Value Problems with Applications to Wave Equations

  Lina Wang, Qian Tong, Lijun Yi, Mingzhu Zhang

  2023-12-01

  29167 2642 Pages:217-247

• Gradient Flow Finite Element Discretisations with Energy-Based Adaptivity for Excited States of Schrödinger's Equation

  Pascal Heid

  2023-05-08

  39134 2899 Pages:933-955

• Optimal Control for Multiscale Elliptic Equations with Rough Coefficients

  Yanping Chen, Xinliang Liu, Jiaoyan Zeng, Lei Zhang

  2023-05-08

  40989 3033 Pages:841-865

• Estimation and Uncertainty Quantification for Piecewise Smooth Signal Recovery

  V. Churchill, A. Gelb

  2022-11-15

  300087 2978 Pages:246-262

• Required Number of Iterations for Sparse Signal Recovery via Orthogonal Least Squares

  Haifeng Li, Jing Zhang, Jinming Wen, Dongfang Li

  2022-12-01

  297002 3884 Pages:1-17

• A Stochastic Trust-Region Framework for Policy Optimization

  Mingming Zhao, Yongfeng Li, Zaiwen Wen

  2022-11-08

  301080 3496 Pages:1004-1030

• A Dissipation-Preserving Integrator for Damped Oscillatory Hamiltonian Systems

  Wei Shi, Kai Liu

  2022-10-06

  37732 3017 Pages:570-588

• Delay-Dependent Stability of Linear Multistep Methods for Neutral Systems with Distributed Delays

  Yuhao Cong, Shouyan Wu

  2022-10-06

  44503 2917 Pages:484-498