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Advances in Applied Mathematics and Mechanics
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  • Stability of Two Conservative, High-Order Fluid-Fluid Coupling Methods

    Jeffrey M. Connors, Robert D. Dolan
    2021-07-01
    64106 4585 Pages:1287-1338
  • Analysis and Invariant Properties of a Lattice Boltzmann Method

    Michael Junk, Zhaoxia Yang
    2021-01-25
    40555 4052 Pages:640-669
  • Some Advances in Applications of Lattice Boltzmann Method for Complex Thermal Flows

    Ridha Djebali, Habib Sammouda, Mohammed El Ganaoui
    2021-01-25
    40611 4124 Pages:587-608
  • Study of Forced Convection Heat Transfer of Supercritical CO2 in a Horizontal Channel by Lattice Boltzmann Method

    Xiaodong Niu, Hiroshi Yamaguchi, Yuhiro Iwamoto, Xinrong Zhang, Mingjun Li, Yuhiro Iwamoto
    2021-01-25
    41436 4310 Pages:564-572
  • 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
  • Hill-Climbing Algorithm with a Stick for Unconstrained Optimization Problems

    Yunqing Huang, Kai Jiang
    2018-05-05
    42112 2979 Pages:307-323
  • Approximate Solution of Some Plane Boundary Value Problems for Perforated Cosserat Elastic Bodies

    Roman Janjgava
    2019-06-24
    44564 3289 Pages:1064-1083
  • The Nehari Manifold for a Class of Singular $\psi$-Riemann-Liouville Fractional with $p$-Laplacian Operator Differential Equations

    Samah Horrigue, Mona Alsulami, Bayan Abduallah Alsaeedi
    2024-07-22
    26882 2334 Pages:1104-1120
  • Efficient and Stable Exponential Runge-Kutta Methods for Parabolic Equations

    Liyong Zhu
    2018-05-05
    43341 4664 Pages:157-172
  • 1D Exact Elastic-Perfectly Plastic Solid Riemann Solver and Its Multi-Material Application

    Si Gao, Tiegang Liu
    2018-08-04
    41592 3043 Pages:621-650
  • Finite Element Solution for MHD Flow of Nanofluids with Heat and Mass Transfer Through a Porous Media with Thermal Radiation, Viscous Dissipation and Chemical Reaction Effects

    Shafqat Hussain
    2018-05-05
    42843 3022 Pages:904-923
  • A Novel Temporal Two-Grid Compact Finite Difference Scheme for the Viscous Burgers’ Equation

    Xiangyi Peng, Wenlin Qiu, Jiangxing Wang, Lina Ma
    2024-11-01
    15838 1410 Pages:1358-1380
  • Transition Flow with an Incompressible Lattice Boltzmann Method

    J. R. Murdock, J. C. Ickes, S. L. Yang
    2018-05-05
    44026 2918 Pages:1271-1288
  • Two New Energy-Preserving Algorithms for Generalized Fifth-Order KdV Equation

    Qi Hong, Yushun Wang, Qikui Du
    2018-05-05
    45435 3049 Pages:1206-1224
  • Lattice Boltzmann Simulation of Magnetic Field Effect on Natural Convection of Power-Law Nanofluids in Rectangular Enclosures

    Lei Wang, Zhenhua Chai, Baochang Shi
    2018-05-05
    45627 3092 Pages:1094-1110
  • Temporal Evolution and Scaling of Mixing in Turbulent Thermal Convection for Inhomogeneous Boundary Conditions

    Yikun Wei, Hua-Shu Dou, Zuchao Zhu, Zhengdao Wang, Yuehong Qian, Haihong Xue
    2018-05-05
    45213 3080 Pages:1035-1051
  • Stability Analysis for Modelling 3D Poroelastic Wave Propagation by High-Order Staggered-Grid Schemes

    Wensheng Zhang, Atish Kumar Joardar, Fei Wu
    2024-07-22
    26221 2349 Pages:1121-1151
  • Comparison of Sharp and Diffuse Interface Methods for Radially Symmetric Compressible Multi-Medium Fluid Flows

    Xiaotao Zhang, Tiegang Liu, Fan Zhang, Zhiqiang Zeng, Chengliang Feng
    2024-12-31
    13167 1189 Pages:407-439
  • Numerical Analysis of Damage Thermo-Mechanical Models

    Hamdi Hentati, Ilyes Ben Naceur, Wassila Bouzid, Aref Maalej
    2018-05-05
    41856 3056 Pages:625-643
  • Two-Phase Image Inpainting: Combine Edge-Fitting with PDE Inpainting

    Meiqing Wang, Chensi Huang, Chao Zeng, Choi-Hong Lai
    2021-07-01
    44446 4413 Pages:769-779
  • A Consistent Characteristic Boundary Condition for General Fluid Mixture and Its Implementation in a Preconditioning Scheme

    Hua-Guang Li, Nan Zong, Xi-Yun Lu, Vigor Yang
    2012-04-01
    42726 5057 Pages:72-92
  • Moving Finite Element Simulations for Reaction-Diffusion Systems

    Guanghui Hu, Zhonghua Qiao, Tao Tang
    2012-04-01
    42538 4448 Pages:365-381
  • Contaminant Flow and Transport Simulation in Cracked Porous Media Using Locally Conservative Schemes

    Pu Song, Shuyu Sun
    2012-04-01
    42171 4619 Pages:389-421
  • The Collocation Method and the Splitting Extrapolation for the First Kind of Boundary Integral Equations on Polygonal Regions

    Li Wang
    2012-04-01
    40893 4166 Pages:603-616
  • A Finite Element Method by Patch Reconstruction for the Quad-Curl Problem Using Mixed Formulations

    Ruo Li, Qicheng Liu, Shuhai Zhao
    2024-12-31
    12863 1170 Pages:517-537
  • 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
  • A Study of Fifth-Order WENO Reconstruction for Genuinely Two-Dimensional Convection-Pressure Flux Split Riemann Solver

    Shide Tan, Haizhuan Yuan, Lijun Hu
    2024-11-01
    16349 1456 Pages:1297-1327
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