Search Results

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

  Janne Siipola

  2024-04-10

  24248 2315 Pages: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

  86027 4254 Pages:1746-1767

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

  Taeyoung Kim, Myungjoo Kang

  2025-09-02

  12147 810 Pages:420-456

• Generalization Error Analysis of Neural Networks with Gradient Based Regularization

  Lingfeng Li, Xue-Cheng Tai, Jiang Yang

  2022-10-28

  45663 3276 Pages: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

  40042 4109 Pages:582-602

• Diagonalizations of Vector and Tensor Addition Theorems

  B. He & W. C. Chew

  2008-04-01

  38363 3803 Pages: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

  39017 3852 Pages:595-624

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

  N. Anders Petersson & Björn Sjögreen

  2012-12-01

  40854 4498 Pages:193-225

• Conforming Hierarchical Basis Functions

  M. J. Bluck

  2012-12-01

  39929 4079 Pages:1215-1256

• Additive Schwarz Preconditioners with Minimal Overlap for Triangular Spectral Elements

  Yuen-Yick Kwan

  2018-03-27

  39207 4030 Pages:411-427

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

  Craig Collins, Jie Shen & Steven M. Wise

  2013-08-05

  44002 4262 Pages:929-957

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

  Marie Billaud Friess, Jérôme Breil, Pierre-Henri Maire & Mikhail Shashkov

  2018-03-27

  42000 4044 Pages: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

  40292 3162 Pages: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

  46944 3236 Pages:500-519

• Schrödinger Operators on a Zigzag Supergraphene-Based Carbon Nanotube

  Hiroaki Niikuni

  2018-08-21

  47083 3591 Pages:1434-1475

• Multifidelity Data Fusion via Gradient-Enhanced Gaussian Process Regression

  Yixiang Deng, Guang Lin, Xiu Yang

  2020-11-18

  63034 3496 Pages: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

  149394 6595 Pages: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

  40907 3253 Pages:596-627

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

  L. Fatone, G. Rao, M. C. Recchioni & F. Zirilli

  2007-02-01

  37864 4066 Pages: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

  3740 365 Pages: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

  15876 1169 Pages:1262-1306

• Convergence Analysis for Over-Parameterized Deep Learning

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

  2024-07-29

  27948 2069 Pages: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

  8885 481 Pages: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

  8899 475 Pages: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

  227 42 Pages: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

  9149 517 Pages:1055-1084

• Continuum Formulation for Non-Equilibrium Shock Structure Calculation

  K. Xu & E. Josyula

  2006-01-01

  130 65 Pages:425-448