Search Results

• Generalization Error in the Deep Ritz Method with Smooth Activation Functions

  Janne Siipola

  2024-04-10

  DOI:10.4208/cicp.OA-2023-0253

  24367 2450 pp. 761-815 Open Access

• Frequency Principle: Fourier Analysis Sheds Light on Deep Neural Networks

  Zhi-Qin John Xu, Yaoyu Zhang, Tao Luo, Yanyang Xiao, Zheng Ma

  2020-11-18

  DOI:10.4208/cicp.OA-2020-0085

  86804 4378 pp. 1746-1767

• Approximating Numerical Fluxes Using Fourier Neural Operators for Hyperbolic Conservation Laws

  Taeyoung Kim, Myungjoo Kang

  2025-09-02

  DOI:10.4208/cicp.OA-2024-0123

  12321 905 pp. 420-456

• Generalization Error Analysis of Neural Networks with Gradient Based Regularization

  Lingfeng Li, Xue-Cheng Tai, Jiang Yang

  2022-10-28

  DOI:10.4208/cicp.OA-2021-0211

  45822 3323 pp. 1007-1038

• A General Moving Mesh Framework in 3D and Its Application for Simulating the Mixture of Multi-Phase Flows

  Yana Di, Ruo Li, Tao Tang

  2008-03-01

  40143 4161 pp. 582-602

• Diagonalizations of Vector and Tensor Addition Theorems

  B. He, W. C. Chew

  2008-04-01

  38453 3845 pp. 797-819

• A Moving-Mesh Finite Element Method and Its Application to the Numerical Solution of Phase-Change Problems

  M. J. Baines, M. E. Hubbard, P. K. Jimack, R. Mahmood

  2009-06-01

  39123 3892 pp. 595-624

• Stable and Efficient Modeling of Anelastic Attenuation in Seismic Wave Propagation

  N. Anders Petersson, Bjoern Sjoegreen

  2012-12-01

  DOI:10.4208/cicp.201010.090611a

  40957 4584 pp. 193-225

• Conforming Hierarchical Basis Functions

  M. J. Bluck

  2012-12-01

  DOI:10.4208/cicp.090511.071211a

  40012 4118 pp. 1215-1256

• Additive Schwarz Preconditioners with Minimal Overlap for Triangular Spectral Elements

  Yuen-Yick Kwan

  2018-03-27

  DOI:10.4208/cicp.080711.160212a

  39296 4069 pp. 411-427

• An Efficient, Energy Stable Scheme for the Cahn-Hilliard-Brinkman System

  Craig Collins, Jie Shen, Steven M. Wise

  2013-08-05

  DOI:10.4208/cicp.171211.130412a

  44115 4296 pp. 929-957

• A Multi-Material CCALE-MOF Approach in Cylindrical Geometry

  Marie Billaud Friess, Jerome Breil, Pierre-Henri Maire, Mikhail Shashkov

  2018-03-27

  DOI:10.4208/cicp.190912.080513a

  42284 4073 pp. 330-364

• Godunov-Type Numerical Methods for a Model of Granular Flow on Open Tables with Walls

  Adimurthi, Aekta Aggarwal, G. D. Veerappa Gowda

  2018-04-04

  DOI:10.4208/cicp.290615.060516a

  40377 3186 pp. 1071-1105

• A Finite Volume Method for the Relativistic Burgers Equation on a FLRW Background Spacetime

  Tuba Ceylan, Philippe G. LeFloch, Baver Okutmustur

  2018-08-21

  DOI:10.4208/cicp.020415.260717a

  47055 3272 pp. 500-519

• Schrödinger Operators on a Zigzag Supergraphene-Based Carbon Nanotube

  Hiroaki Niikuni

  2018-08-21

  DOI:10.4208/cicp.120715.080517a

  47182 3634 pp. 1434-1475

• Multifidelity Data Fusion via Gradient-Enhanced Gaussian Process Regression

  Yixiang Deng, Guang Lin, Xiu Yang

  2020-11-18

  DOI:10.4208/cicp.OA-2020-0151

  63219 3530 pp. 1812-1837

• Extended Physics-Informed Neural Networks (XPINNs): A Generalized Space-Time Domain Decomposition Based Deep Learning Framework for Nonlinear Partial Differential Equations

  Ameya D. Jagtap, George Em Karniadakis

  2020-11-18

  DOI:10.4208/cicp.OA-2020-0164

  151550 6990 pp. 2002-2041

• Convergence of Physics-Informed Neural Networks Applied to Linear Second-Order Elliptic Interface Problems

  Sidi Wu, Aiqing Zhu, Yifa Tang, Benzhuo Lu

  2023-03-13

  DOI:10.4208/cicp.OA-2022-0218

  41082 3304 pp. 596-627

• High Performance Algorithms Based on a New Wavelet Expansion for Time Dependent Acoustic Obstacle Scattering

  Lorella Fatone, Giuseppe Rao, Maria Cristina Recchioni, Francesco Zirilli

  2007-02-01

  37955 4104 pp. 1139-1173

• 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

  DOI:10.4208/cicp.OA-2025-0024

  4062 402 pp. 1053-1088

• Time Integration Schemes Based on Neural Networks for Solving Partial Differential Equations on Coarse Grids

  Xinxin Yan, Zhideng Zhou, Xiaohan Cheng, Xiaolei Yang

  2024-12-02

  DOI:10.4208/cicp.OA-2023-0266

  15998 1216 pp. 1262-1306

• Convergence Analysis for Over-Parameterized Deep Learning

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

  2024-07-29

  DOI:10.4208/cicp.OA-2023-0264

  28088 2178 pp. 71-103

• Data Generation-Based Operator Learning for Solving Partial Differential Equations on Unbounded Domains

  Jihong Wang, Xin Wang, Jing Li, Bin Liu

  2025-05-29

  DOI:10.4208/cicp.OA-2023-0327

  9043 520 pp. 1383-1416

• High Order Multiscale Methods for Advection-Diffusion Equation in Highly Oscillatory Regimes: Application to Surfactant Diffusion and Generalization to Arbitrary Domains

  Clarissa Astuto

  2025-05-29

  DOI:10.4208/cicp.OA-2024-0114

  9027 505 pp. 1327-1357

• Solving Multi-Group Neutron Diffusion Eigenvalue Problem with Decoupling Residual Loss Function

  Shupei Yu, Qiaolin He, Shiquan Zhang, Qihong Yang, Yu Yang, Helin Gong

  2026-01-18

  DOI:10.4208/cicp.OA-2024-0176

  777 109 pp. 1231-1266

• Uncertainty Quantification for Charge Transport in GNRs Through Particle Galerkin Methods for the Semiclassical Boltzmann Equation

  Andrea Medaglia, Giovanni Nastasi, Vittorio Romano, Mattia Zanella

  2025-04-27

  DOI:10.4208/cicp.OA-2024-0103

  9279 564 pp. 1055-1084

• Continuum Formulation for Non-Equilibrium Shock Structure Calculation

  K. Xu & E. Josyula

  2006-01-01

  236 107 pp. 425-448