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Advances in Applied Mathematics and Mechanics
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  • A Modified Regularized Lattice Boltzmann Method for Coupled Thermal-Solutal Problems of Non-Newtonian Fluids in Heterogeneously Porous Media

    Xuguang Yang, Yong Zhao
    2025-05-12
    8386 530 Pages:1310-1332
  • Analysis of Mathematics and Numerical Pattern Formation in Superdiffusive Fractional Multicomponent System

    Kolade M. Owolabi, Abdon Atangana
    2021-07-01
    42738 3879 Pages:1438-1460
  • Solution of Boundary Value Problems Using Dual Reciprocity Boundary Element Method

    Hassan Zakerdoost, Hassan Ghassemi, Mehdi Iranmanesh
    2018-08-04
    42171 3065 Pages:680-697
  • Lattice Boltzmann Simulation of Free-Surface Temperature Dispersion in Shallow Water Flows

    Mohammed Seaïd, Guido Thömmes
    2018-08-10
    41327 3828 Pages:415-437
  • 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
    40770 3740 Pages:319-340
  • Transient Waves Due to Mechanical Loads in Elasto-Thermo-Diffusive Solids

    J. N. Sharma, N. K. Sharma, K. K. Sharma
    2011-03-01
    41649 4658 Pages:87-108
  • A Boundary Meshless Method for Solving Heat Transfer Problems Using the Fourier Transform

    A. Tadeu, C. S. Chen, J. Antόnio, Nuno Simões
    2011-03-01
    40755 4236 Pages:572-585
  • An Upwind Mixed Finite Element Method on Changing Meshes for Positive Semi-Definite Oil-Water Displacement of Darcy-Forchheimer Flow in Porous Media

    Yirang Yuan, Huailing Song, Changfeng Li, Tongjun Sun
    2020-07-24
    49484 3268 Pages:1196-1223
  • 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
  • Finite Difference/Element Method for a Two-Dimensional Modified Fractional Diffusion Equation

    Na Zhang, Weihua Deng, Yujiang Wu
    2012-04-01
    42409 4603 Pages:496-518
  • A Conservative Upwind Approximation on Block-Centered Difference for Chemical Oil Recovery Displacement Problem

    Changfeng Li, Yirang Yuan, Aijie Cheng, Huailing Song
    2022-08-08
    300375 3940 Pages:1246-1275
  • 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
  • Positive and Conservative Characteristic Block-Centered Finite Difference Methods for Convection Dominated Diffusion Equations

    Xinshu Li, Kai Fu
    2022-06-13
    42234 3547 Pages:1087-1110
  • An Implicit-Explicit Scheme for the Radiation Hydrodynamics

    Yaoli Fang
    2020-12-18
    46533 3229 Pages:404-425
  • 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
    118609 5935 Pages:1318-1354
  • A Galerkin-Characteristic Finite Element Method for Three-Dimensional Convection-Dominated Problems

    Bassou Khouya, Mofdi El-Amrani, Mohammed Seaid
    2020-12-21
    54431 3248 Pages:503-526
  • Strong Converge Order of the General One-Step Method for Neutral Stochastic Delay Differential Equations under a Global Monotone Condition

    Chao Yue, Haoyong Zhuang, Longbin Zhao
    2025-09-29
    5032 250 Pages:1654-1681
  • Optimal Stirring Strategies for Passive Scalars in a Domain with a General Shape and No-Flux Boundary Condition

    Sirui Zhu, Zhi Lin, Liang Li, Lingyun Ding
    2025-10-29
    4487 120 Pages:756-784
  • Numerical Analysis for the Model Governing Anomalous Dynamics in Expanding Media

    Maoping Wang, Weihua Deng
    2025-10-29
    4501 112 Pages:724-755
  • Two Lattice Boltzmann Models for Three-Dimensional Coupled Burgers’ Equations

    Qianhuan Li, Fumei Rong, Zhenhua Chai, Baochang Shi
    2025-11-19
    213 5
  • A Nonconforming Nitsche's Extended Finite Element Method for Elliptic Interface Problems

    Nan Wang, Jinru Chen
    2020-06-01
    48025 3484 Pages:879-901
  • A Viscosity-Splitting Method for the Navier-Stokes/ Darcy Problem

    Yunxia Wang, Xuefeng Han, Zhiyong Si
    2020-03-06
    48557 4939 Pages:251-277
  • 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
  • An Entropy Stable Scheme for the Multiclass Lighthill-Whitham-Richards Traffic Model

    Raimund Bürger, Héctor Torres, Carlos A. Vega
    2019-06-24
    44730 3170 Pages:1022-1047
  • High Order Well-Balanced Finite Difference AWENO Scheme for Ripa and Pollutant Transport Systems

    Yue Liu, Zhen Gao, Peng Li, Yaguang Gu
    2024-12-31
    12913 1204 Pages:554-579
  • Convergence Analysis of a Global-in-Time Iterative Decoupled Algorithm for Biot’s Model

    Huipeng Gu, Mingchao Cai, Jingzhi Li
    2025-03-14
    11091 781 Pages:778-803
  • Finite Volume Element Method for a Nonlinear Parabolic Equation

    Yanwei Du, Yonghai Li
    2025-03-14
    11085 765 Pages:681-705
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