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

  DOI:10.4208/ijnam2024-1026

  13074 1095 pp. 652-673

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

  Efthymios N. Karatzas

  2024-06-24

  DOI:10.4208/ijnam2024-1021

  19032 1474 pp. 528-559

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

  Meghana Suthar, Sangita Yadav

  2024-06-24

  DOI:10.4208/ijnam2024-1020

  20130 1507 pp. 504-527

• Fast Numerical Solvers for Subdiffusion Problems with Spatial Interfaces

  Boyang Yu, Yonghai Li, Jiangguo Liu

  2024-05-20

  DOI:10.4208/ijnam2024-1017

  20021 1587 pp. 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

  DOI:10.4208/ijnam2024-1016

  20646 1593 pp. 407-430

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

  Kumudu Gamage, Yan Peng, Zhilin Li

  2024-05-20

  DOI:10.4208/ijnam2024-1014

  21258 1641 pp. 353-374

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

  Yafei Xu, Weidong Zhao

  2024-04-07

  DOI:10.4208/ijnam2024-1011

  21161 1820 pp. 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

  DOI:10.4208/ijnam2024-1007

  21495 1729 pp. 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

  DOI:10.4208/ijnam2023-1038

  22555 2029 pp. 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

  DOI:10.4208/ijnam2023-1035

  22464 1987 pp. 805-831

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

  Andy L Yang

  2023-09-19

  DOI:10.4208/ijnam2023-1032

  24903 2190 pp. 724-738

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

  Dan Li, Yiqiang Li, Zhanbin Yuan

  2023-09-19

  DOI:10.4208/ijnam2023-1028

  25954 2210 pp. 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

  DOI:10.4208/ijnam2023-1027

  24633 2155 pp. 618-646

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

  Naresh Kumar, Bhupen Deka

  2023-01-14

  DOI:10.4208/ijnam2023-1009

  28430 2555 pp. 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

  38897 2728 pp. 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

  37570 2777 pp. 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

  37863 2706 pp. 587-601

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

  Guang-Ri Piao, Fuxia Yao, Wenju Zhao

  2022-09-27

  40742 2953 pp. 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

  43254 2661 pp. 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

  38248 2642 pp. 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 2629 pp. 311-323

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

  Shangyuan Zhang, Yufeng Nie

  2020-10-27

  36887 2663 pp. 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 2685 pp. 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 pp. 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

  35815 2692 pp. 613-642

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

  Xu Guo, Yutian Li, Tieyong Zeng

  2020-02-03

  36396 2793 pp. 195-211

• An Embedded SDG Method for the Convection-Diffusion Equation

  Siu Wun Cheung, Eric T. Chung

  2019-02-22

  38254 2798 pp. 255-275