Search Results

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

  Janne Siipola

  2024-04-10

  24120 2222 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

  85482 4069 Pages:1746-1767

• Generalization Error Analysis of Neural Networks with Gradient Based Regularization

  Lingfeng Li, Xue-Cheng Tai, Jiang Yang

  2022-10-28

  45537 3242 Pages:1007-1038

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

  Taeyoung Kim, Myungjoo Kang

  2025-09-02

  204 76 Pages:420-456

• 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

  39982 4071 Pages:582-602

• Diagonalizations of Vector and Tensor Addition Theorems

  B. He & W. C. Chew

  2008-04-01

  38274 3767 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

  38942 3812 Pages:595-624

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

  N. Anders Petersson & Björn Sjögreen

  2012-12-01

  40780 4447 Pages:193-225

• Conforming Hierarchical Basis Functions

  M. J. Bluck

  2012-12-01

  39850 4044 Pages:1215-1256

• Additive Schwarz Preconditioners with Minimal Overlap for Triangular Spectral Elements

  Yuen-Yick Kwan

  2018-03-27

  39136 4003 Pages:411-427

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

  Craig Collins, Jie Shen & Steven M. Wise

  2013-08-05

  43930 4239 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

  41915 4005 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

  40237 3135 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

  46863 3204 Pages:500-519

• Schrödinger Operators on a Zigzag Supergraphene-Based Carbon Nanotube

  Hiroaki Niikuni

  2018-08-21

  47010 3575 Pages:1434-1475

• Multifidelity Data Fusion via Gradient-Enhanced Gaussian Process Regression

  Yixiang Deng, Guang Lin, Xiu Yang

  2020-11-18

  62881 3466 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

  147761 6053 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

  40769 3224 Pages:596-627

• A Well-Balanced Partial Relaxation Scheme for the Two-Dimensional Saint-Venant System

  Xi Chen, Alexander Kurganov

  2023-06-06

  37529 2738 Pages:1432-1465

• Continuum Formulation for Non-Equilibrium Shock Structure Calculation

  K. Xu & E. Josyula

  2006-01-01

  39056 3925 Pages:425-448

• On the "Preconditioning" Function Used in Planewave DFT Calculations and Its Generalization

  Yunkai Zhou, James R. Chelikowsky, Xingyu Gao & Aihui Zhou

  2018-04-03

  41669 4547 Pages:167-179

• Continuum Formulation for Non-Equilibrium Shock Structure Calculation

  K. Xu & E. Josyula

  2006-01-01

  60 34 Pages:425-448

• 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

  186 50 Pages:1055-1084

• The $p$-Weighted Limiter for Nodal Discontinuous Galerkin Methods on Two Dimensional Mixed Grids

  Wanai Li, Xiaoquan Gong

  2025-04-27

  191 58 Pages:1085-1119

• 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

  195 57 Pages:1327-1357

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

  Jihong Wang, Xin Wang, Jing Li, Bin Liu

  2025-05-29

  194 50 Pages:1383-1416

• Convergence Analysis for Over-Parameterized Deep Learning

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

  2024-07-29

  157 147 Pages:71-103