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Advances in Applied Mathematics and Mechanics
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  • ALM-PINN: An Adaptive Physical Informed Neural Network Optimized by Levenberg-Marquardt for Efficient Solution of Singular Perturbation Problems

    Yinghao Chen, Muzhou Hou, Jingying Hu, Yang Xiao, Jinyong Ying, Ting Zhang
    2025-09-29
    5014 252 Pages:1841-1866
  • Optimizing Thermal Lattice Boltzmann Method on an MT-3000 Processor with Neo-Heterogeneous Strategies

    Qingyang Zhang, Lei Xu, Rongliang Chen, Hang Zou, Bo Yang, Jingzhi Li, Jie Liu
    2025-11-22
    171 2
  • A Posteriori Error Analysis of Any Order Finite Volume Methods for Elliptic Problems

    Yuanyuan Zhang, Min Yang
    2020-01-17
    45129 3229 Pages:564-578
  • An Alternating Direction Method of Multipliers for Optimal Control Problems Constrained with Elliptic Equations

    Jinda Yang, Kai Zhang, Haiming Song, Ting Cheng
    2020-01-17
    48329 3301 Pages:336-361
  • A Jacobi Collocation Method for the Fractional Ginzburg-Landau Differential Equation

    Yin Yang, Jianyong Tao, Shangyou Zhang, Petr V. Sivtsev
    2020-03-06
    49435 4940 Pages:57-86
  • Reduction of Numerical Oscillations in Simulating Moving-Boundary Problems by the Local DFD Method

    Yang Zhang, Chunhua Zhou
    2018-05-05
    44064 4462 Pages:145-165
  • Fitted Finite Volume Method of Three Transboundary Pollution in Three Gorges Reservoir Area of Chongqing City with Emission Permits Trading by Cooperative Stochastic Differential Game

    Zuliang Lu, Shuhua Zhang, Lin Li, Longzhou Cao, Yin Yang
    2018-09-17
    44586 3025 Pages:690-709
  • Mixed Finite Element Methods for Elastodynamics Problems in the Symmetric Formulation

    Yan Yang, Shiquan Zhang
    2018-09-17
    43771 3071 Pages:1279-1304
  • A Splitting Method for the Degasperis-Procesi Equation Using an Optimized WENO Scheme and the Fourier Pseudospectral Method

    Yunrui Guo, Wenjing Yang, Hong Zhang, Ji Wang, Songhe Song
    2019-01-04
    47416 5050 Pages:53-71
  • Parametric Vibration Analysis of Pipes Conveying Fluid by Nonlinear Normal Modes and a Numerical Iterative Approach

    Feng Liang, Xiaodong Yang, Wei Zhang, Yingjing Qian, Roderick V. N. Melnik
    2019-01-04
    46909 4809 Pages:38-52
  • An Efficient Regularized Lattice Boltzmann Method to Solve Consistent and Conservative Phase Field Model for Simulating Incompressible Two-Phase Flows

    Xuguang Yang, Yuze Zhang
    2024-07-22
    25088 2342 Pages:1277-1296
  • Finite Element Scheme with H2N2 Interpolation for Multi-Term Time-Fractional Mixed Sub-Diffusion and Diffusion-Wave Equation

    Huiqin Zhang, Yanping Chen, Jianwei Zhou, Yang Wang
    2024-07-22
    26270 2390 Pages:1197-1222
  • Spectral Galerkin Approximation of Fractional Optimal Control Problems with Fractional Laplacian

    Jiaqi Zhang, Yin Yang, Zhaojie Zhou
    2023-10-11
    30650 2720 Pages:1631-1654
  • A Combined Discontinuous Galerkin Method for Saltwater Intrusion Problem with Splitting Mixed Procedure

    Jiansong Zhang, Jiang Zhu, Danping Yang
    2018-08-04
    42128 3027 Pages:651-666
  • The Crank-Nicolson/Explicit Scheme for the Natural Convection Equations with Nonsmooth Initial Data

    Jinting Yang, Hongxia Liang, Tong Zhang
    2021-07-01
    47534 4104 Pages:1481-1519
  • Large Eddy Simulation of the Vortex-Induced Vibration of a Circular Cylinder by Using the Local Domain-Free Discretization Method

    Tianmei Pu, Yang Zhang, Chunhua Zhou
    2022-08-08
    270436 3767 Pages:1456-1476
  • Inverse Scattering Transform and Soliton Solutions for the Hirota Equation with $N$ Distinct Arbitrary Order Poles

    Xiaofan Zhang, Shoufu Tian & Jinjie Yang
    2022-04-11
    45043 3573 Pages:893-913
  • A Multi-Dimensional Shock-Capturing Limiter for High-Order Least Square-Based Finite Difference-Finite Volume Method on Unstructured Grids

    Yangyang Liu, Liming Yang, Chang Shu, Huangwei Zhang
    2020-12-21
    46810 3272 Pages:671-700
  • Error Analysis of Two-Level Finite Element Method for the Nonlinear Conductivity Problem in Maxwell's System

    Peizhen Wang, Dandan Zhang, Wei Yang
    2021-04-13
    44857 3244 Pages:791-805
  • Multi-Modes Multiscale Approach of Heat Transfer Problems in Heterogeneous Solids with Uncertain Thermal Conductivity

    Shan Zhang, Zihao Yang, Xiaofei Guan
    2022-10-24
    43819 3859 Pages:69-93
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