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  • A Consensus-Based Global Optimization Method with Adaptive Momentum Estimation

    Jingrun Chen, Shi Jin, Liyao Lyu
    2022-03-30
    47179 3022 Pages:1296-1316
  • A Moving Mesh Finite Difference Method for Non-Monotone Solutions of Non-Equilibrium Equations in Porous Media

    Hong Zhang & Paul Andries Zegeling
    2017-10-02
    43884 3251 Pages:935-964
  • A Nearly Analytical Discrete Method for Wave-Field Simulations in 2D Porous Media

    D. Yang, J. Peng, M. Lu & T. Terlaky
    2006-01-01
    38267 3952 Pages:528-547
  • The Positivity-Preserving Finite Volume Coupled with Finite Element Method for the Keller-Segel-Navier-Stokes Model

    Ping Zeng, Guanyu Zhou
    2024-05-06
    27987 2049 Pages:1073-1119
  • A Normalizing Field Flow Induced Two-Stage Stochastic Homogenization Method for Random Composite Materials

    Zihao Yang, Xintong Wang, Xiaofei Guan, Jizu Huang, Xixin Wu
    2023-10-07
    34705 2823 Pages:787-812
  • A Nearly Analytical Discrete Method for Wave-Field Simulations in 2D Porous Media

    D. Yang, J. Peng, M. Lu & T. Terlaky
    2006-01-01
    135 60 Pages:528-547
  • The Recursive Formulation of Particular Solutions for Some Elliptic PDEs with Polynomial Source Functions

    J. Ding, H. Y. Tian & C. S. Chen
    2009-05-01
    38748 3865 Pages:942-958
  • A Comparison of Fourier Spectral Iterative Perturbation Method and Finite Element Method in Solving Phase-Field Equilibrium Equations

    Pengcheng Song, Tiannan Yang, Yanzhou Ji, Zhuo Wang, Zhigang Yang, Longqing Chen & Lei Chen
    2018-04-09
    42295 3668 Pages:1325-1349
  • Neural Networks with Local Converging Inputs (NNLCI) for Solving Conservation Laws, Part II: 2D Problems

    Haoxiang Huang, Vigor Yang, Yingjie Liu
    2023-11-08
    77084 3664 Pages:907-933
  • Solution of Cauchy Problems by the Multiple Scale Method of Particular Solutions Using Polynomial Basis Functions

    Ji Lin, Yuhui Zhang, Thir Dangal & C. S. Chen
    2018-09-17
    44541 3573 Pages:1409-1434
  • High-Order Local Discontinuous Galerkin Method with Multi-Resolution WENO Limiter for Navier-Stokes Equations on Triangular Meshes

    Yizhou Lu, Jun Zhu, Shengzhu Cui, Zhenming Wang, Linlin Tian, Ning Zhao
    2023-06-06
    42277 3118 Pages:1217-1239
  • A Parallel, High-Order Direct Discontinuous Galerkin Method for the Navier-Stokes Equations on 3D Hybrid Grids

    Jian Cheng, Xiaodong Liu, Tiegang Liu, Hong Luo
    2018-04-09
    42307 3267 Pages:1231-1257
  • Adaptive Multi-Resolution Method for 3D Reactive Flows with Level Set Front Capturing

    Wenhua Ma, Dongmi Luo, Wenjun Ying, Guoxi Ni, Min Xiao, Yibing Chen
    2023-04-28
    32595 2942 Pages:849-883
  • An Adaptive Moving Mesh Method for the Five-Equation Model

    Yaguang Gu, Dongmi Luo, Zhen Gao, Yibing Chen
    2022-07-06
    42878 3676 Pages:189-221
  • Numerical Simulations for Full History Recursive Multilevel Picard Approximations for Systems of High-Dimensional Partial Differential Equations

    Sebastian Becker, Ramon Braunwarth, Martin Hutzenthaler, Arnulf Jentzen, Philippe von Wurstemberger
    2020-11-18
    64386 3357 Pages:2109-2138
  • VPVnet: A Velocity-Pressure-Vorticity Neural Network Method for the Stokes’ Equations under Reduced Regularity

    Yujie Liu, Chao Yang
    2022-03-03
    45524 3235 Pages:739-770
  • A Determinant Aided Fixed Point Method for Nonlinear Coupled Constitutive Relation of Rarefied Nonequilibrium Flows

    Chengming Zeng, Dongjun Jiang, Qibing Li
    2026-02-15
    3764 140 Pages:448-474
  • A Time-Splitting Spectral Method for Three-Wave Interactions in Media with Competing Quadratic and Cubic Nonlinearities

    W. Bao & C. Zheng
    2007-02-01
    38272 4440 Pages:123-140
  • A Data-Driven Reconstruction for Unstructured Finite Volume Method on Multi-Dimensional Compressible Flows

    Jayeon Joo, Dongseok Kim, Hojun You, Chongam Kim
    2024-12-02
    15908 1151 Pages:1307-1338
  • A Unified Gas-Kinetic Scheme for Continuum and Rarefied Flows II: Multi-Dimensional Cases

    Juan-Chen Huang, Kun Xu & Pubing Yu
    2012-12-01
    40892 4161 Pages:662-690
  • Improved RBF Collocation Methods for Fourth Order Boundary Value Problems

    C. S. Chen, Andreas Karageorghis, Hui Zheng
    2020-05-06
    50394 3437 Pages:1530-1549
  • Error Analysis of the Plane Wave Discontinuous Galerkin Method for Maxwell's Equations in Anisotropic Media

    Long Yuan & Qiya Hu
    2019-01-10
    46286 3871 Pages:1496-1522
  • A Front Tracking Method for the Simulation of Compressible Multimedium Flows

    Haitian Lu, Ning Zhao & Donghong Wang
    2018-04-03
    40330 4717 Pages:124-142
  • Solution Remapping Method with Lower Bound Preservation for Navier-Stokes Equations in Aerodynamic Shape Optimization

    Bin Zhang, Weixiong Yuan, Kun Wang, Jufang Wang, Tiegang Liu
    2023-06-06
    39106 2918 Pages:1381-1408
  • A Semi-Implicit Fractional Step Method Immersed Boundary Method for the Numerical Simulation of Natural Convection Non-Boussinesq Flows

    Dmitry Zviaga, Ido Silverman, Alexander Gelfgat, Yuri Feldman
    2022-09-29
    41082 3240 Pages:737-778
  • Solutions of the 1D Coupled Nonlinear Schrödinger Equations by the CIP-BS Method

    T. Utsumi, T. Aoki, J. Koga & M. Yamagiwa
    2018-03-24
    39147 4124 Pages:261-275
  • A Numerical Method for Dynamic Wetting Using Mesoscopic Contact-Line Models

    Jian Qin, Wei Lu, Peng Gao
    2024-10-29
    18290 1187 Pages:977-995
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