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  • Coupling of Gaussian Beam and Finite Difference Solvers for Semiclassical Schrödinger Equations

    Emil Kieri, Gunilla Kreiss, Olof Runborg
    2021-07-01
    DOI:10.4208/aamm.2013.m411
    42665 4247 pp. 687-714
  • Nonlinear Vertical Vibration of Tension Leg Platforms with Homotopy Analysis Method

    Arash Reza, Hamid M. Sedighi
    2018-05-05
    DOI:10.4208/aamm.2013.m314
    41689 3224 pp. 357-368
  • Superconvergence of bi-$k$ Degree Time-Space Fully Discontinuous Finite Element for First-Order Hyperbolic Equations

    Hongling Hu, Chuanmiao Chen
    2018-05-05
    DOI:10.4208/aamm.2014.m615
    42726 3172 pp. 323-337
  • Thermoelectric Viscoelastic Fluid with Fractional Integral and Derivative Heat Transfer

    Magdy A. Ezzat, A. S. Sabbah, A. A. El-Bary, S. M. Ezzat
    2018-05-05
    DOI:10.4208/aamm.2013.m333
    41687 3166 pp. 528-548
  • Solution of the Magnetohydrodynamics Jeffery-Hamel Flow Equations by the Modified Adomian Decomposition Method

    Lei Lu, Junsheng Duan, Longzhen Fan
    2018-05-05
    DOI:10.4208/aamm.2014.m543
    41990 3145 pp. 675-686
  • Modification of Multiple Knot $B$-Spline Wavelet for Solving (Partially) Dirichlet Boundary Value Problem

    Fatemeh Pourakbari, Ali Tavakoli
    2021-07-01
    DOI:10.4208/aamm.12-12S10
    43783 4594 pp. 799-820
  • A Modified Helmholtz Equation with Impedance Boundary Conditions

    Robert S. Callihan, Aihua W. Wood
    2021-07-01
    DOI:10.4208/aamm.12-12S02
    43947 4495 pp. 703-718
  • On the Fully Implicit Solution of a Phase-Field Model for Binary Alloy Solidification in Three Dimensions

    Christopher E. Goodyer, Peter K. Jimack, Andrew M. Mullis, Hongbiao Dong, Yu Xie
    2021-07-01
    DOI:10.4208/aamm.12-12S07
    43557 4405 pp. 665-684
  • Application of Improved (G'/G)–Expansion Method to Traveling Wave Solutions of Two Nonlinear Evolution Equations

    Xiaohua Liu, Weiguo Zhang, Zhengming Li
    2012-04-01
    DOI:10.4208/aamm.11-m11126
    42915 4820 pp. 122-130
  • Convergence of a Distributional Monte Carlo Method for the Boltzmann Equation

    Christopher R. Schrock, Aihua W. Wood
    2012-04-01
    DOI:10.4208/aamm.10-m11113
    42474 4829 pp. 102-121
  • Moving Finite Element Simulations for Reaction-Diffusion Systems

    Guanghui Hu, Zhonghua Qiao, Tao Tang
    2012-04-01
    DOI:10.4208/aamm.10-m11180
    42763 4563 pp. 365-381
  • Modifying and Reducing Numerical Dissipation in a Two-Dimensional Central-Upwind Scheme

    Chi-Jer Yu, Chii-Tung Liu
    2012-04-01
    DOI:10.4208/aamm.10-m11142
    40798 4361 pp. 340-353
  • A Novel Perturbative Iteration Algorithm for Effective and Efficient Solution of Frequency-Dependent Eigenvalue Problems

    Rongming Lin
    2012-04-01
    DOI:10.4208/aamm.10-m11102
    45587 4398 pp. 325-339
  • Simulation of Incompressible Viscous Flows by Local DFD-Immersed Boundary Method

    Y. L. Wu, C. Shu, H. Ding
    2012-04-01
    DOI:10.4208/aamm.10-m1171
    40946 4309 pp. 311-324
  • Modelling and Numerical Valuation of Power Derivatives in Energy Markets

    Mai Huong Nguyen, Matthias Ehrhardt
    2012-04-01
    DOI:10.4208/aamm.10-m1133
    41360 5192 pp. 259-293 Open Access
  • An Acceleration Method for Stationary Iterative Solution to Linear System of Equations

    Qun Lin, Wujian Peng
    2012-04-01
    DOI:10.4208/aamm.10-m1162
    41812 4757 pp. 473-482
  • The Multi-Step Differential Transform Method and Its Application to Determine the Solutions of Non-Linear Oscillators

    Vedat Suat Ertürk, Zaid M. Odibat, Shaher Momani
    2012-04-01
    DOI:10.4208/aamm.10-m1138
    43065 5289 pp. 422-438
  • Stochastic Runge-Kutta–Munthe-Kaas Methods in the Modelling of Perturbed Rigid Bodies

    Michelle Muniz, Matthias Ehrhardt, Michael Günther, Renate Winkler
    2022-01-24
    DOI:10.4208/aamm.OA-2021-0176
    41170 3309 pp. 528-538
  • Recent Advances and Emerging Applications of the Singular Boundary Method for Large-Scale and High-Frequency Computational Acoustics

    Junpu Li, Zhuojia Fu, Yan Gu, Qing-Hua Qin
    2022-01-24
    DOI:10.4208/aamm.OA-2020-0356
    43446 3449 pp. 315-343
  • Sinc Collocation Numerical Methods for Solving Two-Dimensional Gross-Pitaevskii Equations with Non-Homogeneous Dirichlet Boundary Conditions

    Shengnan Kang, Kenzu Abdella, Macro Pollanen, Shuhua Zhang, Liang Wang
    2022-08-08
    DOI:10.4208/aamm.OA-2021-0189
    292936 4222 pp. 1302-1332
  • A New Conservative Allen-Cahn Type Ohta-Kawaski Phase-Field Model for Diblock Copolymers and Its Numerical Approximations

    Shuang Geng, Tongmao Li, Qiongwei Ye, Xiaofeng Yang
    2021-11-18
    DOI:10.4208/aamm.OA-2020-0293
    49820 4261 pp. 101-124
  • A Numerical-Analytical Method for Time-Fractional Dual-Phase-Lag Models of Heat Transfer

    Ji Lin, Sergiy Reutskiy, Wenjie Feng
    2022-02-25
    DOI:10.4208/aamm.OA-2020-0237
    47662 3356 pp. 666-702
  • Superconvergence of Finite Element Approximations of the Two-Dimensional Cubic Nonlinear Schrödinger Equation

    Jianyun Wang, Zhikun Tian
    2022-02-25
    DOI:10.4208/aamm.OA-2020-0268
    49154 3410 pp. 652-665
  • 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
    DOI:10.4208/aamm.OA-2020-0369
    45355 3681 pp. 893-913
  • Two-Grid Immersed Finite Volume Element Methods for Semi-Linear Elliptic Interface Problems with Non-Homogeneous Jump Conditions

    Quanxiang Wang, Liqun Wang, Jianqiang Xie
    2022-04-11
    DOI:10.4208/aamm.OA-2020-0339
    44402 3642 pp. 842-870
  • Solving PDEs with a Hybrid Radial Basis Function: Power-Generalized Multiquadric Kernel

    Cem Berk Senel, Jeroen van Beeck, Atakan Altinkaynak
    2022-06-13
    DOI:10.4208/aamm.OA-2021-0215
    44066 3640 pp. 1161-1180
  • Integral Equation Method for Inverse Scattering Problem from the Far-Field Data

    Yuqing Hu
    2021-11-17
    DOI:10.4208/aamm.OA-2020-0039
    48939 3942 pp. 1558-1574
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