Search Results

• High Order Compact Hermite Reconstructions and Their Application in the Improved Two-Stage Fourth Order Time-Stepping Framework for Hyperbolic Problems: Two-Dimensional Case

  Ang Li, Jiequan Li, Juan Cheng, Chi-Wang Shu

  2024-07-29

  DOI:10.4208/cicp.OA-2024-0023

  28125 2049 pp. 1-29

• Efficient Algorithm for Many-Electron Angular Momentum and Spin Diagonalization on Atomic Subshells

  Christian B. Mendl

  2018-04-03

  DOI:10.4208/cicp.281014.190615a

  40050 4507 pp. 192-204

• Convergence Study of Moment Approximations for Boundary Value Problems of the Boltzmann-BGK Equation

  Manuel Torrilhon

  2018-04-03

  DOI:10.4208/cicp.061013.160215a

  39857 3182 pp. 529-557

• 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

  DOI:10.4208/cicp.030211.040811a

  40509 3874 pp. 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

  DOI:10.4208/cicp.030511.220911a

  41044 4193 pp. 662-690

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

  J. W. Banks, B. Sjoegreen

  2011-10-01

  DOI:10.4208/cicp.060210.300910a

  38233 3967 pp. 279-304

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

  Ken Mattsson, Florencia Parisi

  2010-07-01

  DOI:10.4208/cicp.2009.08.135

  42448 4520 pp. 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

  DOI:10.4208/cicp.OA-2024-0095

  5374 896 pp. 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

  DOI:10.4208/cicp.OA-2023-0063

  35606 2926 pp. 813-836

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

  Xiulei Cao, Huaxiong Huang

  2019-04-04

  DOI:10.4208/cicp.OA-2018-0134

  47063 3488 pp. 389-412

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

  Xiang Wang, Yuqing Zhang, Zhimin Zhang

  2023-06-06

  DOI:10.4208/cicp.OA-2022-0295

  38914 2940 pp. 1332-1356

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

  Shamsulhaq Basir

  2023-06-06

  DOI:10.4208/cicp.OA-2022-0239

  41861 3031 pp. 1240-1269

• 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

  DOI:10.4208/cicp.OA-2021-0182

  42800 3915 pp. 156-188

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

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

  2021-07-01

  DOI:10.4208/cicp.OA-2020-0153

  49547 3302 pp. 666-708

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

  Dianming Hou, Mejdi Azaïez, Chuanju Xu

  2019-08-27

  DOI:10.4208/cicp.2019.js60.04

  54236 3709 pp. 1415-1443

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

  Yulei Liao, Pingbing Ming

  2021-03-24

  DOI:10.4208/cicp.OA-2020-0219

  53501 3565 pp. 1365-1384

• Machine Learning and Computational Mathematics

  Weinan E

  2020-11-18

  DOI:10.4208/cicp.OA-2020-0185

  89035 4381 pp. 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

  DOI:10.4208/cicp.OA-2020-0130

  64587 3389 pp. 2109-2138

• Finite Neuron Method and Convergence Analysis

  Jinchao Xu

  2020-11-18

  DOI:10.4208/cicp.OA-2020-0191

  70604 3843 pp. 1707-1745

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

  Mengjiao Jiao, Yingda Cheng, Yong Liu, Mengping Zhang

  2020-07-21

  DOI:10.4208/cicp.OA-2019-0099

  48431 3334 pp. 927-966

• Fast MRI Reconstruction via Edge Attention

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

  2023-06-06

  DOI:10.4208/cicp.OA-2022-0309

  39501 2902 pp. 1409-1431

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

  Yingzhou Li, Xiuyuan Cheng, Jianfeng Lu

  2020-11-18

  DOI:10.4208/cicp.OA-2020-0214

  63895 3512 pp. 1838-1885