Search Results

• Deep Neural Network for Solving Differential Equations Motivated by Legendre-Galerkin Approximation

  Bryce Chudomelka, Youngjoon Hong, John Morgan, Hyunwoo Kim, Jinyoung Park

  2024-10-08

  13071 1093 Pages:652-673

• $hp$-Version Analysis for Arbitrarily Shaped Elements on the Boundary Discontinuous Galerkin Method for Stokes Systems

  Efthymios N. Karatzas

  2024-06-24

  19030 1474 Pages:528-559

• Mixed Virtual Element Method for Linear Parabolic Integro-Differential Equations

  Meghana Suthar, Sangita Yadav

  2024-06-24

  20128 1507 Pages:504-527

• Fast Numerical Solvers for Subdiffusion Problems with Spatial Interfaces

  Boyang Yu, Yonghai Li, Jiangguo Liu

  2024-05-20

  20014 1584 Pages:431-458

• A Difference Finite Element Method for Convection-Diffusion Equations in Cylindrical Domains

  Chenhong Shi, Yinnian He, Dongwoo Sheen, Xinlong Feng

  2024-05-20

  20639 1591 Pages:407-430

• A Direct Method for Solving Three-Dimensional Elliptic Interface Problems

  Kumudu Gamage, Yan Peng, Zhilin Li

  2024-05-20

  21253 1641 Pages:353-374

• Richardson Extrapolation of the Crank-Nicolson Scheme for Backward Stochastic Differential Equations

  Yafei Xu, Weidong Zhao

  2024-04-07

  21159 1819 Pages:268-294

• An $H^1$-Conforming Solenoidal Basis for Velocity Computation on Powell-Sabin Splits for the Stokes Problem

  Jeffrey M. Connors, Michael Gaiewski

  2024-04-07

  21494 1729 Pages:181-200

• High-Order Enriched Finite Element Methods for Elliptic Interface Problems with Discontinuous Solutions

  Champike Attanayake, So-Hsiang Chou, Quanling Deng

  2023-11-13

  22554 2028 Pages:870-895

• Unconditionally Energy Stable and First-Order Accurate Numerical Schemes for the Heat Equation with Uncertain Temperature-Dependent Conductivity

  Joseph Anthony Fiordilino, Matthew Winger

  2023-11-13

  22461 1986 Pages:805-831

• A Novel Deep Neural Network Algorithm for the Helmholtz Scattering Problem in the Unbounded Domain

  Andy L Yang

  2023-09-19

  24900 2189 Pages:724-738

• A New Weak Galerkin Method with Weakly Enforced Dirichlet Boundary Condition

  Dan Li, Yiqiang Li, Zhanbin Yuan

  2023-09-19

  25952 2210 Pages:647-666

• A Posteriori Error Analysis for an Ultra-Weak Discontinuous Galerkin Approximations of Nonlinear Second-Order Two-Point Boundary-Value Problems

  Mahboub Baccouch

  2023-09-19

  24628 2155 Pages:618-646

• Weak Galerkin Finite Element Methods for Parabolic Problems with $L^2$ Initial Data

  Naresh Kumar, Bhupen Deka

  2023-01-14

  28429 2552 Pages:199-228

• Efficient Generation of Membrane and Solvent Tetrahedral Meshes for Ion Channel Finite Element Calculation

  Zhen Chao, Sheng Gui, Benzhuo Lu, Dexuan Xie

  2022-09-27

  38894 2728 Pages:887-906

• A Preconditioned Steepest Descent Solver for the Cahn-Hilliard Equation with Variable Mobility

  Xiaochun Chen, Cheng Wang, Steven M. Wise

  2022-09-27

  37568 2775 Pages:839-863

• A Mesh-Less, Ray-Based Deep Neural Network Method for the Helmholtz Equation with High Frequency

  Andy L Yang, Feng Gu

  2022-06-22

  37860 2706 Pages:587-601

• Reduced Basis Finite Element Methods for the Korteweg-de Vries-Burgers Equation

  Guang-Ri Piao, Fuxia Yao, Wenju Zhao

  2022-09-27

  40736 2953 Pages:369-385

• A Fully Discrete, Decoupled Scheme with Different Time Steps for Approximating Nematic Liquid Crystal Flow

  Ting Li, Pengzhan Huang, Yinnian He

  2021-11-05

  43252 2660 Pages:811-833

• A Stochastic Gradient Descent Method for the Design of Optimal Random Interface in Thin-Film Solar Cells

  Dan Wang, Yanzhao Cao, Qiang Li, Jihong Shen

  2021-03-25

  38247 2640 Pages:384-398

• A Stabilizer Free Weak Galerkin Finite Element Method for General Second-Order Elliptic Problem

  Ahmed Al-Taweel, Saqib Hussain, Runchang Lin, Peng Zhu

  2021-03-25

  38761 2627 Pages:311-323

• A POD-Based Fast Algorithm for the Nonlocal Unsteady Problems

  Shangyuan Zhang, Yufeng Nie

  2020-10-27

  36887 2662 Pages:858-871

• The Weak Galerkin Finite Element Method for Solving the Time-Dependent Stokes Flow

  Xiuli Wang, Yuanyuan Liu, Qilong Zhai

  2020-08-04

  35825 2684 Pages:732-745

• Modifying the Split-Step $θ$-Method with Harmonic-Mean Term for Stochastic Differential Equations

  Kazem Nouri, Hassan Ranjbar, Juan Carlos Cortés López

  2020-08-04

  36135 2716 Pages:662-678

• Fitted Front Tracking Methods for Two-Phase Incompressible Navier–Stokes Flow: Eulerian and ALE Finite Element Discretizations

  Marco Agnese, Robert Nürnberg

  2020-08-04

  35814 2691 Pages:613-642

• A Finite Difference Scheme for Caputo-Fabrizio Fractional Differential Equations

  Xu Guo, Yutian Li, Tieyong Zeng

  2020-02-03

  36392 2793 Pages:195-211

• An Embedded SDG Method for the Convection-Diffusion Equation

  Siu Wun Cheung, Eric T. Chung

  2019-02-22

  38252 2798 Pages:255-275