Search Results

• Structured First-Layer Initialization Pre-Training Techniques to Accelerate Training Process Based on $\varepsilon$-Rank

  Tao Tang, Jiang Yang, Yuxiang Zhao, Quanhui Zhu

  2026-03-16

  277 11 Pages:61-87

• Improved Randomized Neural Network Methods with Boundary Processing for Solving Elliptic Equations

  Huifang Zhou, Zhiqiang Sheng

  2026-01-15

  3177 283 Pages:147-184

• Adaptive Basis-Inspired Deep Neural Network for Solving Partial Differential Equations with Localized Features

  Ke Li, Yaqin Zhang, Yunqing Huang, Chenyue Xie, Xueshuang Xiang

  2025-09-18

  4554 375 Pages:1453-1497

• A Class of Second-Order Energy-Stable Schemes for the Cahn-Hilliard Equation and Their Linear Iteration Algorithm

  Xiaohan Zhu, Yuezheng Gong, Yushun Wang

  2025-09-05

  3725 360 Pages:1210-1236

• Asymptotic-Preserving Discretization of Three-Dimensional Plasma Fluid Models

  Tianwei Yu, Roman Fuchs, Ralf Hiptmair

  2024-10-09

  15850 1316 Pages:581-617

• 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

  9021 503 Pages:1327-1357

• Convergence Analysis of PINNs with Over-Parameterization

  Mo Chen, Zhao Ding, Yuling Jiao, Xiliang Lu, Peiying Wu, Jerry Zhijian Yang

  2025-04-27

  9320 578 Pages:942-974

• An Unconditionally Energy-Stable and Orthonormality-Preserving Scheme for the Kohn-Sham Gradient Flow Based Model Based on a Tetrahedral Spectral Element Method

  Hongfei Zhan, Ting Wang, Guanghui Hu

  2025-04-27

  9419 585 Pages:921-941

• Interior Penalty Discontinuous Galerkin Based Isogeometric Analysis for Allen-Cahn Equations on Surfaces

  Qin Li, Pengxin Liu, Hanxin Zhang

  2020-07-30

  39772 3259 Pages:1380-1416

• Preconditioned Iterative Methods for Two-Dimensional Space-Fractional Diffusion Equations

  Xiao-Qing Jin, Fu-Rong Lin, Zhi Zhao

  2018-04-03

  38776 3171 Pages:469-488

• Numerical Simulations of Particle Sedimentation Using the Immersed Boundary Method

  Sudeshna Ghosh, John M. Stockie

  2018-04-03

  38807 3188 Pages:380-416

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

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

  2018-04-03

  41814 4691 Pages:167-179

• Discrete Maximum Principle for the Weak Galerkin Method for Anisotropic Diffusion Problems

  Weizhang Huang, Yanqiu Wang

  2018-04-03

  42501 4473 Pages:65-90

• Stochastic Collocation on Unstructured Multivariate Meshes

  Akil Narayan, Tao Zhou

  2018-04-03

  42995 5332 Pages:1-36

• $L_2$ Convergence of the Lattice Boltzmann Method for One Dimensional Convection-Diffusion-Reaction Equations

  Michael Junk, Zhaoxia Yang

  2018-04-02

  41284 3371 Pages:1225-1245

• The Split-Operator Technique for the Study of Spinorial Wave Packet Dynamics

  A. Chaves, G. A. Farias, F. M. Peeters, R. Ferreira

  2018-04-02

  37994 3162 Pages:850-866

• Discontinuous-Galerkin Discretization of a New Class of Green-Naghdi Equations

  Arnaud Duran, Fabien Marche

  2018-04-02

  38434 3148 Pages:721-760

• A Multilevel Numerical Approach with Application in Time-Domain Electromagnetics

  Avijit Chatterjee

  2018-04-02

  37732 3081 Pages:703-720

• Fourth Order Exponential Time Differencing Method with Local Discontinuous Galerkin Approximation for Coupled Nonlinear Schrödinger Equations

  X. Liang, A. Q. M. Khaliq, Y. Xing

  2020-07-30

  40060 3030 Pages:510-541

• On Singular Closures for the 5-Moment System in Kinetic Gas Theory

  Roman Pascal Schaerer, Manuel Torrilhon

  2020-07-30

  40445 3021 Pages:371-400

• Simulation of Earthquake Rupture Dynamics in Complex Geometries Using Coupled Finite Difference and Finite Volume Methods

  Ossian O'Reilly, Jan Nordström, Jeremy E. Kozdon, Eric M. Dunham

  2020-07-30

  40495 3106 Pages:337-370

• Numerical Simulation of Airfoil Vibrations Induced by Turbulent Flow

  Miloslav Feistauer, Jaromír Horáček, Petr Sváček

  2018-04-02

  42503 4657 Pages:146-188

• Numerical Approximation of a Compressible Multiphase System

  Remi Abgrall, Harish Kumar

  2014-05-05

  43015 4051 Pages:1237-1265

• A Godunov-Type Solver for the Numerical Approximation of Gravitational Flows

  J. Vides, B. Braconnier, E. Audit, C. Berthon, B. Nkonga

  2014-01-05

  40803 4412 Pages:46-75

• Numerical Simulation of Glottal Flow in Interaction with Self Oscillating Vocal Folds: Comparison of Finite Element Approximation with a Simplified Model

  P. Sváček, J. Horáček

  2012-12-01

  40537 3880 Pages:789-806

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

  J. W. Banks, B. Sjoegreen

  2011-10-01

  38230 3966 Pages:279-304

• Simulation of Decoherence by Averaged Semiquantum Method

  Zhuo Wang, Quanlin Jie, Shi-Hui Zhang

  2010-07-01

  38491 4078 Pages:718-737