Search Results

• Convergence Analysis for Over-Parameterized Deep Learning

  Yuling Jiao, Xiliang Lu, Peiying Wu, Jerry Zhijian Yang

  2024-07-29

  157 147 Pages:71-103

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

  Ritesh Khan, Sivaram Ambikasaran

  2025-04-27

  197 50 Pages:1157-1226

• Correlation Functions, Universal Ratios and Goldstone Mode Singularities in $n$-Vector Models

  J. Kaupužs, R. V. N. Melnik, J. Rimšāns

  2014-05-05

  42283 4010 Pages:1407-1430

• Random Walk Approximation for Irreversible Drift-Diffusion Process on Manifold: Ergodicity, Unconditional Stability and Convergence

  Yuan Gao, Jian-Guo Liu

  2023-08-14

  32964 3064 Pages:132-172

• A Decreasing Upper Bound of the Energy for Time-Fractional Phase-Field Equations

  Chaoyu Quan, Tao Tang, Boyi Wang, Jiang Yang

  2023-05-12

  37859 2905 Pages:962-991

• Band Structure Calculations of Dispersive Photonic Crystals in 3D Using Holomorphic Operator Functions

  Wenqiang Xiao, Bo Gong, Junshan Lin, Jiguang Sun

  2023-03-13

  37563 3039 Pages:628-646

• A Posteriori Error Estimate of Weak Galerkin FEM for Stokes Problem Using Auxiliary Subspace Techniques

  Jiachuan Zhang, Ran Zhang, Xiaoshen Wang

  2023-03-13

  38719 3190 Pages:511-537

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

  Yan Meng, Pingbing Ming

  2023-01-24

  38648 3386 Pages:1361-1400

• A New Directional Algebraic Fast Multipole Method Based Iterative Solver for the Lippmann-Schwinger Equation Accelerated with HODLR Preconditioner

  Vaishnavi Gujjula, Sivaram Ambikasaran

  2022-10-28

  45672 3120 Pages:1061-1093

• Directional $\mathcal{H}^2$ Compression Algorithm: Optimisations and Application to a Discontinuous Galerkin BEM for the Helmholtz Equation

  Nadir-Alexandre Messaï, Sebastien Pernet, Abdesselam Bouguerra

  2022-05-06

  43581 3155 Pages:1585-1635

• The Hyperbolic Schrödinger Equation and the Quantum Lattice Boltzmann Approximation

  Renato Spigler

  2022-05-06

  44414 3262 Pages:1341-1361

• A Rate of Convergence of Physics Informed Neural Networks for the Linear Second Order Elliptic PDEs

  Yuling Jiao, Yanming Lai, Dingwei Li, Xiliang Lu, Fengru Wang, Yang Wang, Jerry Zhijian Yang

  2022-03-30

  51825 3084 Pages:1272-1295

• VAE-KRnet and Its Applications to Variational Bayes

  Xiaoliang Wan, Shuangqing Wei

  2022-03-30

  52156 3201 Pages:1049-1082

• Discrete Duality Finite Volume Discretization of the Thermal-$P_N$ Radiative Transfer Equations on General Meshes

  Francois Hermeline

  2022-01-27

  42740 3302 Pages:398-448

• A Modified Crank-Nicolson Numerical Scheme for the Flory-Huggins Cahn-Hilliard Model

  Wenbin Chen, Jianyu Jing, Cheng Wang, Xiaoming Wang, Steven M. Wise

  2021-12-06

  49256 4172 Pages:60-93 Open-access

• Shallow Water Moment Models for Bedload Transport Problems

  José Garres-Díaz, Manuel J. Castro Díaz, Julian Koellermeier, Tomás Morales de Luna

  2021-07-01

  49125 3178 Pages:903-941

• Learning to Discretize: Solving 1D Scalar Conservation Laws via Deep Reinforcement Learning

  Yufei Wang, Ziju Shen, Zichao Long, Bin Dong

  2020-11-18

  62322 3419 Pages:2158-2179

• Butterfly-Net: Optimal Function Representation Based on Convolutional Neural Networks

  Yingzhou Li, Xiuyuan Cheng, Jianfeng Lu

  2020-11-18

  63549 3432 Pages:1838-1885

• Finite Neuron Method and Convergence Analysis

  Jinchao Xu

  2020-11-18

  70207 3742 Pages:1707-1745

• Troubled-Cell Indicator Based on Mean Value Property for Hybrid WENO Schemes

  Kunmin Sung, Youngsoo Ha, Myungjoo Kang

  2020-02-23

  49980 3295 Pages:949-975

• Lévy Backward SDE Filter for Jump Diffusion Processes and Its Applications in Material Sciences

  Feng Bao, Richard Archibald, Peter Maksymovych

  2019-12-07

  47019 4808 Pages:589-618 Open-access

• Parametric POD-Galerkin Model Order Reduction for Unsteady-State Heat Transfer Problems

  Sokratia Georgaka, Giovanni Stabile, Gianluigi Rozza, Michael J. Bluck

  2020-03-06

  70293 6736 Pages:1-32

• An MRT Extension to the Multigrid Lattice Boltzmann Method

  Charles Armstrong, Yan Peng

  2019-07-02

  45365 3187 Pages:1178-1195

• A Novel Method for Solving Time-Dependent 2D Advection-Diffusion-Reaction Equations to Model Transfer in Nonlinear Anisotropic Media

  Ji Lin, Sergiy Reutskiy, C. S. Chen & Jun Lu

  2019-02-25

  47236 5427 Pages:233-264

• Moment Approximations and Model Cascades for Shallow Flow

  Julia Kowalski & Manuel Torrilhon

  2018-11-09

  48499 3460 Pages:669-702

• Efficient Numerical Computation of Time-Fractional Nonlinear Schrödinger Equations in Unbounded Domain

  Jiwei Zhang, Dongfang Li & Xavier Antoine

  2018-09-01

  46615 5292 Pages:218-243

• Accelerating N-Body Simulation of Self-Gravitating Systems with Limited First-Order Post-Newtonian Approximation

  Takayuki Tatekawa

  2018-09-01

  44847 4934 Pages:68-83