Search Results

• A High Order Spectral Volume Formulation for Solving Equations Containing Higher Spatial Derivative Terms II: Improving the Third Derivative Spatial Discretization Using the LDG2 Method

  Ravi Kannan

  2012-12-01

  40315 3819 Pages:767-788

• A Unified Gas-Kinetic Scheme for Continuum and Rarefied Flows II: Multi-Dimensional Cases

  Juan-Chen Huang, Kun Xu & Pubing Yu

  2012-12-01

  40804 4138 Pages:662-690

• A Normal Mode Stability Analysis of Numerical Interface Conditions for Fluid/Structure Interaction

  J. W. Banks & B. Sjögreen

  2011-10-01

  38087 3887 Pages:279-304

• Stable and Accurate Second-Order Formulation of the Shifted Wave Equation

  Ken Mattsson & Florencia Parisi

  2010-07-01

  42211 4311 Pages:103-137

• 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

  5046 565 Pages:181-222

• A Rate of Convergence of Weak Adversarial Neural Networks for the Second Order Parabolic PDEs

  Yuling Jiao, Jerry Zhijian Yang, Cheng Yuan, Junyu Zhou

  2023-10-07

  35332 2836 Pages:813-836

• Fast MRI Reconstruction via Edge Attention

  Hanhui Yang, Juncheng Li, Lok Ming Lui, Shihui Ying, Jun Shi, Tieyong Zeng

  2023-06-06

  39267 2837 Pages:1409-1431

• New Superconvergent Structures with Optional Superconvergent Points for the Finite Volume Element Method

  Xiang Wang, Yuqing Zhang, Zhimin Zhang

  2023-06-06

  38706 2878 Pages:1332-1356

• An Effective and Easy-to-Implement Boundary Condition for Molecular Dynamics Simulations

  Cheng Yuan, Jerry Zhijian Yang & Xiantao Li

  2019-02-25

  46404 5597 Pages:192-205

• Reliability Investigation of BiCGStab and IDR Solvers for the Advection-Diffusion-Reaction Equation

  Chris Schoutrop, Jan ten Thije Boonkkamp, Jan van Dijk

  2022-07-06

  42522 3761 Pages:156-188

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

  Shamsulhaq Basir

  2023-06-06

  41484 2933 Pages:1240-1269

• An Adaptive Conservative Finite Volume Method for Poisson-Nernst-Planck Equations on a Moving Mesh

  Xiulei Cao & Huaxiong Huang

  2019-04-04

  46868 3414 Pages:389-412

• High Order Discretely Well-Balanced Methods for Arbitrary Hydrostatic Atmospheres

  Jonas P. Berberich, Roger Käppeli, Praveen Chandrashekar, Christian Klingenberg

  2021-07-01

  49358 3217 Pages:666-708

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

  Yulei Liao, Pingbing Ming

  2021-03-24

  53158 3424 Pages:1365-1384

• Machine Learning and Computational Mathematics

  Weinan E

  2020-11-18

  88485 4276 Pages:1639-1670

• 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

  64226 3325 Pages:2109-2138

• Müntz Spectral Method for Two-Dimensional Space-Fractional Convection-Diffusion Equation

  Dianming Hou, Mejdi Azaïez, Chuanju Xu

  2019-08-27

  53989 3634 Pages:1415-1443

• 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

• Central Discontinuous Galerkin Methods for the Generalized Korteweg-de Vries Equation

  Mengjiao Jiao, Yingda Cheng, Yong Liu, Mengping Zhang

  2020-07-21

  48213 3258 Pages:927-966