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• A New Function Space from Barron Class and Application to Neural Network Approximation

  Yan Meng, Pingbing Ming

  2023-01-24

  38800 3489 Pages:1361-1400

• Upwind Biased Local RBF Scheme with PDE Centres for the Steady Convection Diffusion Equations with Continuous and Discontinuous Boundary Conditions

  K. Monysekar, Y. V. S. S. Sanyasiraju

  2019-12-07

  45099 3142 Pages:460-479

• Truncated Gaussian RBF Differences are Always Inferior to Finite Differences of the Same Stencil Width

  John P. Boyd & Lei Wang

  2018-03-24

  37791 4349 Pages:42-60

• Local RBF Algorithms for Elliptic Boundary Value Problems in Annular Domains

  C. S. Chen & Andreas Karageorghis

  2018-09-01

  45672 5155 Pages:41-67

• Effect of the Reaction Field on Molecular Forces and Torques Revealed by an Image-Charge Solvation Model

  Wei Song, Yuchun Lin, Andrij Baumketner, Shaozhong Deng, Wei Cai & Donald J. Jacobs

  2013-01-05

  41216 4405 Pages:129-149

• Reduction of the Regularization Error of the Method of Regularized Stokeslets for a Rigid Object Immersed in a Three-Dimensional Stokes Flow

  Hoang-Ngan Nguyen & Ricardo Cortez

  2014-01-05

  40522 4416 Pages:126-152

• Improved RBF Collocation Methods for Fourth Order Boundary Value Problems

  C. S. Chen, Andreas Karageorghis, Hui Zheng

  2020-05-06

  50394 3437 Pages:1530-1549

• Multi-Scale Deep Neural Network (MscaleDNN) for Solving Poisson-Boltzmann Equation in Complex Domains

  Ziqi Liu, Wei Cai, Zhi-Qin John Xu

  2020-11-18

  73856 3682 Pages:1970-2001

• Fast Solution of Three-Dimensional Modified Helmholtz Equations by the Method of Fundamental Solutions

  Ji Lin, C. S. Chen & Chein-Shan Liu

  2018-04-04

  39996 3156 Pages:512-533

• Estimating the Finite Time Lyapunov Exponent from Sparse Lagrangian Trajectories

  Yu-Keung Ng, Shingyu Leung

  2019-07-02

  46581 3301 Pages:1143-1177

• Multi-Scale Deep Neural Network (MscaleDNN) Methods for Oscillatory Stokes Flows in Complex Domains

  Bo Wang, Wenzhong Zhang, Wei Cai

  2020-11-18

  64332 3316 Pages:2139-2157

• Cholesky-Based Experimental Design for Gaussian Process and Kernel-Based Emulation and Calibration

  Helumt Harbrecht, John D. Jakeman, Peter Zaspel

  2021-02-25

  45952 3185 Pages:1152-1185

• Molecular Dynamics Simulation of Bombardment of Hydrogen Atoms on Graphite Surface

  A. Ito & H. Nakamura

  2008-09-05

  39117 3893 Pages:592-610

• New Algebraic Fast Algorithms for $N$-Body Problems in Two and Three Dimensions

  Ritesh Khan, Sivaram Ambikasaran

  2025-04-27

  9178 537 Pages:1157-1226

• A Lightweight Data-Driven Model Enhanced Discontinuous Galerkin Method for Rapidly Simulating Transonic Airfoil Flowfields

  Lili Lv, Yiwei Feng, Weixiong Yuan, Liang Xu, Tiegang Liu

  2025-09-05

  3740 365 Pages:1053-1088