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  • A Double-Passage Shape Correction Method for Predictions of Unsteady Flow and Aeroelasticity in Turbomachinery

    Tongqing Guo, Di Zhou, Zhiliang Lu
    2018-05-05
    DOI:10.4208/aamm.2016.m1478
    42515 3020 pp. 839-860
  • The Method of Fundamental Solutions for Solving Convection-Diffusion Equations with Variable Coefficients

    C. M. Fan, C.S. Chen, J. Monroe
    2018-08-10
    43154 4519 pp. 215-230
  • On the Boundary Integral Equations for a Two-Dimensional Slowly Rotating Highly Viscous Fluid Flow

    D. Lesnic
    2018-08-10
    44096 5080 pp. 140-150
  • The Locally Conservative Galerkin (LCG) Method — a Discontinuous Methodology Applied to a Continuous Framework

    Rhodri L. T. Bevan, Raoul vanLoon, Perumal Nithiarasu
    2018-08-10
    41014 3886 pp. 319-340
  • A Modified Kernel Method for Solving Cauchy Problem of Two-Dimensional Heat Conduction Equation

    Jingjun Zhao, Songshu Liu, Tao Liu
    2018-03-29
    DOI:10.4208/aamm.12-m12113
    43104 4871 pp. 31-42
  • Solution of Two-Dimensional Stokes Flow Problems Using Improved Singular Boundary Method

    Wenzhen Qu, Wen Chen
    2018-03-29
    DOI:10.4208/aamm.2013.m359
    43359 4995 pp. 13-30
  • Group Invariant Solutions of the Plastic Torsion of Rod with Variable Cross Section

    Kefu Huang, Houguo Li
    2012-04-01
    DOI:10.4208/aamm.10-m1201
    40997 4474 pp. 382-388
  • Domain-Decomposition Localized Method of Fundamental Solutions for Large-Scale Heat Conduction in Anisotropic Layered Materials

    Shuainan Liu, Zhuojia Fu, Yan Gu
    2022-02-25
    DOI:10.4208/aamm.OA-2020-0288
    47984 3396 pp. 759-776
  • An $h$-Adaptive Finite Element Solution of the Relaxation Non-Equilibrium Model for Gravity-Driven Fingers

    Huanying Bian, Yedan Shen, Guanghui Hu
    2021-11-17
    DOI:10.4208/aamm.OA-2020-0218
    49745 4057 pp. 1418-1440
  • Error Estimate of a Second Order Accurate Scalar Auxiliary Variable (SAV) Numerical Method for the Epitaxial Thin Film Equation

    Qing Cheng, Cheng Wang
    2021-11-17
    DOI:10.4208/aamm.OA-2020-0297
    119097 6101 pp. 1318-1354
  • Harmonic Standing-Wave Excitations of Simply-Supported Thick-Walled Hollow Elastic Circular Cylinders: Exact 3D Linear Elastodynamic Response

    Jamal Sakhr, Blaine A. Chronik
    2020-10-20
    DOI:10.4208/aamm.OA-2019-0203
    50085 4631 pp. 18-57
  • A Novel B-Spline Method for Modeling Transport Problems in Anisotropic Inhomogeneous Media

    Sergiy Reutskiy, Ji Lin, Bin Zheng, Jiyou Tong
    2020-12-21
    DOI:10.4208/aamm.OA-2020-0052
    47705 3185 pp. 590-618
  • $(1+s)$-Order Convergence Analysis of Weak Galerkin Finite Element Methods for Second Order Elliptic Equations

    Yiying Wang, Yongkui Zou, Shimin Chai
    2020-12-21
    DOI:10.4208/aamm.OA-2020-0020
    47914 3259 pp. 554-568
  • A Matrix-Vector Operation-Based Numerical Solution Method for Linear $m$-th Order Ordinary Differential Equations: Application to Engineering Problems

    M. Aminbaghai, M. Dorn, J. Eberhardsteiner, B. Pichler
    2013-05-01
    DOI:10.4208/aamm.12-m1211
    42068 4814 pp. 269-308
  • Alternating Direction Implicit Orthogonal Spline Collocation on Non-Rectangular Regions

    Bernard Bialecki, Ryan I. Fernandes
    2021-01-13
    DOI:10.4208/aamm.13-13S05
    42588 4338 pp. 461-476
  • The Crank-Nicolson Hermite Cubic Orthogonal Spline Collocation Method for the Heat Equation with Nonlocal Boundary Conditions

    B. Bialecki, G. Fairweather, J. C. Lόpez-Marcos
    2021-01-13
    DOI:10.4208/aamm.13-13S03
    43216 4380 pp. 442-460
  • New Regularization and Error Estimate for the Cauchy Problem of the Nonlinear Helmholtz-Type Equation

    Zhenping Li, Xiangtuan Xiong
    2026-08-01
    DOI:10.4208/aamm.OA-2024-0180
    904 94 pp. 1269-1306
  • High-Order Numerical Approximation and Error Estimation for Fourth-Order Equation in Complex Cylindrical Domain

    Xuenan Zhao, Jing An, Juan Zhang
    2026-08-01
    DOI:10.4208/aamm.OA-2024-0276
    1033 83 pp. 1189-1209
  • On Stable Difference Schemes for the Solution of Soliton Type Coupled Sine-Gordon Equations in the Weak Sense

    Ozgur Yildirim
    2026-06-01
    DOI:10.4208/aamm.OA-2023-0049
    4292 79 pp. 988-1008
  • Improved Sixth-Order WENO Finite Difference Schemes for Hyperbolic Conservation Laws

    Cai-Feng Wang, Wai-Sun Don, Jia-Le Li, Bao-Shan Wang
    2025-09-29
    DOI:10.4208/aamm.OA-2024-0037
    7393 499 pp. 1591-1624
  • Meshfree Methods for the Helmholtz Equation with Variable Wave Speed

    Zhiyong Liu, Qiuyan Xu
    2026-02-01
    DOI:10.4208/aamm.OA-2024-0117
    4948 442 pp. 296-321
  • Solving Fourth-Order PDEs Using the LMAPS

    Cheng Deng, Hui Zheng, Yan Shi, C. S. Chen
    2020-06-01
    DOI:10.4208/aamm.OA-2019-0216
    50895 3404 pp. 920-939
  • Perfectly Matched Layer Method for Acoustic Scattering Problem by a Locally Perturbed Line with Impedance Boundary Condition

    Xue Jiang, Xujing Li
    2020-03-06
    DOI:10.4208/aamm.OA-2019-0047
    48657 4887 pp. 101-140
  • A Comparative Study of Finite Element and Finite Difference Methods for Two-Dimensional Space-Fractional Advection-Dispersion Equation

    Guofei Pang, Wen Chen, Kam Yim Sze
    2018-05-05
    DOI:10.4208/aamm.2014.m693
    43895 4731 pp. 166-186
  • A Regularized Singular Boundary Method for Inverse Cauchy Problem in Three-Dimensional Elastostatics

    Aixia Zhang, Yan Gu, Qingsong Hua, Wen Chen
    2021-07-01
    DOI:10.4208/aamm.OA-2018-0103
    47797 4284 pp. 1459-1477
  • Doubling Algorithm for Nonsymmetric Algebraic Riccati Equations Based on a Generalized Transformation

    Bo Tang, Yunqing Huang, Ning Dong
    2021-07-01
    DOI:10.4208/aamm.OA-2018-0012
    45337 4138 pp. 1327-1343
  • Analysis and Application of Stochastic Collocation Methods for Maxwell's Equations with Random Inputs

    Jichun Li, Zhiwei Fang
    2021-07-01
    DOI:10.4208/aamm.OA-2018-0101
    49178 4209 pp. 1305-1326
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