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Advances in Applied Mathematics and Mechanics
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  • An Implicit-Explicit Scheme for the Radiation Hydrodynamics

    Yaoli Fang
    2020-12-18
    46533 3229 Pages:404-425
  • Alternating Cell Direction Implicit Method Using Approximate Factorization on Hybrid Grids

    Ali Ruhşen Çete, Oğuz Kaan Onay
    2022-02-25
    47957 3211 Pages:539-576
  • Decoupled and Unconditionally Energy Stable Numerical Schemes for the Thermally Coupled Incompressible Magnetohydrodynamics Flow

    Chao Lu, Qinghua Li, Tong Zhang
    2025-10-04
    4619 135 Pages:601-641
  • A Time Second-Order Mass-Conserved Implicit-Explicit Domain Decomposition Scheme for Solving the Diffusion Equations

    Zhongguo Zhou, Dong Liang
    2018-05-05
    42135 3025 Pages:795-817
  • A Well-Balanced FVC Scheme for 2D Shallow Water Flows on Unstructured Triangular Meshes

    Moussa Ziggaf, Imad Kissami, Mohamed Boubekeur, Fayssal Benkhaldoun
    2023-06-21
    37328 2971 Pages:1335-1378
  • A New Explicit Symplectic Fourier Pseudospectral Method for Klein-Gordon-Schrödinger Equation

    Yanhong Yang, Yongzhong Song, Haochen Li, Yushun Wang
    2018-09-17
    44063 4798 Pages:242-260
  • A Second-Order Alikhanov Type Implicit Scheme for the Time-Space Fractional Ginzburg-Landau Equation

    Yufang Gao, Shengxiang Chang, Changna Lu
    2024-11-01
    15116 1370 Pages:1451-1473
  • Unconditional Stability and Fourth-Order Convergence of a Two-Step Time Split Explicit/Implicit Scheme for Two-Dimensional Nonlinear Unsteady Convection-Diffusion-Reaction Equation

    Eric Ngondiep, Ali H. Tedjani
    2024-11-01
    15403 1374 Pages:1381-1409
  • Numerical Simulation of Non-Linear Schrödinger Equations in Arbitrary Domain by the Localized Method of Approximate Particular Solution

    Yongxing Hong, Jun Lu, Ji Lin, Wen Chen
    2019-01-04
    46110 4988 Pages:108-131
  • Stability Analysis of a Fully Coupled Implicit Scheme for Inviscid Chemical Non-Equilibrium Flows

    Yu Wang, Jinsheng Cai, Kun Qu
    2021-07-01
    43701 3928 Pages:953-970
  • PINN-Based Partial Learning for Multicontinuum Problems: Dual Continuum Fluid Filtration Simulation

    Wanbao Huang, Yin Yang, Dmitry Ammosov, Wei Xie, Sergei Stepanov
    2025-10-29
    4510 102 Pages:537-560
  • 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
    43316 4293 Pages:665-684
  • A Second Order Accurate in Time, Energy Stable Finite Element Scheme for the Flory-Huggins-Cahn-Hilliard Equation

    Maoqin Yuan, Wenbin Chen, Cheng Wang, Steven M. Wise, Zhengru Zhang
    2022-08-08
    270062 3707 Pages:1477-1508
  • A Combination of High-Order Compact Finite Difference Schemes and a Splitting Method that Preserves Accuracy for the Multi-Dimensional Burgers' Equation

    Shengfeng Wang, Xiaohua Zhang, Julian Koellermeier, Daobin Ji
    2021-06-08
    45031 3067 Pages:1261-1292
  • Error Analysis of a New Euler Semi-Implicit Time-Discrete Scheme for the Incompressible MHD System with Variable Density

    Yuan Li, Xuewei Cui
    2024-12-02
    13939 1092 Pages:263-294
  • A Galerkin Splitting Symplectic Method for the Two Dimensional Nonlinear Schrödinger Equation

    Zhenguo Mu, Haochen Li, Yushun Wang, Wenjun Cai
    2018-09-17
    45536 3126 Pages:1069-1089
  • An Implicit Block LU-SGS Algorithm-Based Lattice Boltzmann Flux Solver for Simulation of Hypersonic Flows

    Z. X. Meng, S. Z. Li, K. Peng, W. H. Zhang
    2019-01-04
    47040 5066 Pages:72-90
  • Alternating Direction Implicit Finite Element Method for Multi-Dimensional Black-Scholes Models

    Limei Li, Alexander Lapin, Shuhua Zhang
    2019-01-11
    44992 3044 Pages:535-558
  • A Convex-Splitting Scheme for a Diffuse Interface Model with Peng-Robinson Equation of State

    Qiujin Peng
    2018-05-05
    44947 3079 Pages:1162-1188
  • Numerical Schemes for Time-Space Fractional Vibration Equations

    Jingna Zhang, Temirkhan S. Aleroev, Yifa Tang, Jianfei Huang
    2021-04-13
    45507 3160 Pages:806-826
  • Error Estimate and Superconvergence of a High-Accuracy Difference Scheme for Solving Parabolic Equations with an Integral Two-Space-Variables Condition

    Liping Zhou, Shi Shu, Haiyuan Yu
    2018-09-17
    43913 3154 Pages:362-389
  • Extending Seventh-Order Dissipative Compact Scheme Satisfying Geometric Conservation Law to Large Eddy Simulation on Curvilinear Grids

    Yi Jiang, Meiliang Mao, Xiaogang Deng, Huayong Liu
    2018-05-05
    41062 3111 Pages:407-429
  • Multiderivative Combined Dissipative Compact Scheme Satisfying Geometric Conservation Law II: Applications on Complex Curvilinear Meshes

    Yi Jiang, Meiliang Mao, Xiaogang Deng, Huayong Liu
    2019-01-11
    44148 3112 Pages:285-311
  • An Immersed Boundary-Simplified Gas Kinetic Scheme for 2D Incompressible Flows with Curved and Moving Boundaries

    H. Dong, L. M. Yang
    2019-06-24
    45473 3227 Pages:1177-1199
  • Implicit DG Method for Time Domain Maxwell's Equations Involving Metamaterials

    Jiangxing Wang, Ziqing Xie, Chuanmiao Chen
    2021-07-01
    42843 4153 Pages:796-817
  • Finite Element $θ$-Schemes for the Acoustic Wave Equation

    Samir Karaa
    2018-08-10
    41812 4130 Pages:181-203
  • Modelling and Numerical Valuation of Power Derivatives in Energy Markets

    Mai Huong Nguyen, Matthias Ehrhardt
    2012-04-01
    41156 5064 Pages:259-293 Open-access
1 - 27 of 47 items
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