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Advances in Applied Mathematics and Mechanics
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  • High-Efficiency Explicit Multistep Schemes for Coupled Second-Order FBSDEs

    Bo Li, Weidong Zhao
    2025-10-14
    4108 288 Pages:322-347
  • 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
  • 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
  • Explicit High Order One-Step Methods for Decoupled Forward Backward Stochastic Differential Equations

    Quan Zhou, Yabing Sun
    2021-11-17
    49878 4002 Pages:1293-1317
  • An Implicit-Explicit Scheme for the Radiation Hydrodynamics

    Yaoli Fang
    2020-12-18
    46533 3229 Pages:404-425
  • 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
  • Comparative Study of Implicit and Explicit Immersed Boundary-Lattice Boltzmann Methods for Simulation of Fluid-Structure Interactions

    J. Y. Shao, N. Y. Liu
    2018-09-17
    44700 3168 Pages:1173-1190
  • A Fully Discrete Explicit Multistep Scheme for Solving Coupled Forward Backward Stochastic Differential Equations

    Ying Liu, Yabing Sun, Weidong Zhao
    2020-04-10
    49940 3367 Pages:643-663
  • The Crank-Nicolson/Explicit Scheme for the Natural Convection Equations with Nonsmooth Initial Data

    Jinting Yang, Hongxia Liang, Tong Zhang
    2021-07-01
    47534 4104 Pages:1481-1519
  • A New Explicit Immersed Boundary Method for Simulation of Fluid-Solid Interactions

    B. Harikrishnan, Zhen Chen, Chang Shu
    2020-12-18
    61828 3975 Pages:261-284
  • Convergence and Stability of an Explicit Method for Autonomous Time-Changed Stochastic Differential Equations with Super-Linear Coefficients

    Xiaotong Li, Juan Liao, Wei Liu, Zhuo Xing
    2023-02-24
    40075 3363 Pages:651-683
  • Efficient and Stable Exponential Runge-Kutta Methods for Parabolic Equations

    Liyong Zhu
    2018-05-05
    43341 4664 Pages:157-172
  • An Explicit Method for the Coupled Forward Backward Stochastic Differential Equations

    Xiao Tang, Jie Xiong
    2025-09-29
    5065 242 Pages:1682-1714
  • 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
  • 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
  • An Explicit Superconvergent Weak Galerkin Finite Element Method for the Heat Equation

    Fuzheng Gao, Shangyou Zhang
    2024-12-31
    12876 1125 Pages:538-553
  • Explicit Multi-Symplectic Splitting Methods for the Nonlinear Dirac Equation

    Yaming Chen, Songhe Song, Huajun Zhu
    2014-06-01
    43800 4458 Pages:494-514
  • Implicit-Explicit Methods for the Efficient Simulation of the Settling of Dispersions of Droplets and Colloidal Particles

    Raimund Bürger, Pep Mulet, Lihki Rubio
    2018-09-17
    44246 3076 Pages:445-467
  • A Truncated-Type Explicit Numerical Method for the Stochastic Allen-Cahn Equation

    Weijun Zhan, Qian Guo
    2024-12-02
    14054 1105 Pages:295-314
  • Explicit, Monotone and Structure-Preserving Finite Difference Methods for Fisher-Kolmogorov-Petrovsky-Piscounov Equation and Allen-Cahn Equation

    Yuxin Liang, Dingwen Deng
    2025-10-29
    4519 126 Pages:450-481
  • 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
  • High-Order Accurate Entropy Stable Finite Difference Schemes for One- and Two-Dimensional Special Relativistic Hydrodynamics

    Junming Duan, Huazhong Tang
    2020-03-06
    141982 5685 Pages:1-29
  • Local Discontinuous Galerkin Methods with Decoupled Implicit-Explicit Time Marching for the Growth-Mediated Autochemotactic Pattern Formation Model

    Hui Wang, Hui Guo, Jiansong Zhang, Lulu Tian
    2023-12-21
    26526 2309 Pages:208-236
  • 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
  • On Convergence and Superconvergence of Discontinuous Galerkin Method for Semi-Explicit Index-1 Integro-Differential Algebraic Equations

    Haiyan Zhang, Hui Liang
    2025-09-29
    5000 251 Pages:1867-1894
  • Sinc Collocation Solutions for the Integral Algebraic Equation of Index-1

    Jingjun Zhao, Yang Cao, Yang Xu
    2018-05-05
    43084 3034 Pages:757-771
  • An Analytical Approach for Nonlinear Buckling Analysis of Torsionally Loaded Sandwich Carbon Nanotube Reinforced Cylindrical Shells with Auxetic Core

    Dang Thuy Dong, Nguyen Thi Phuong, Vu Hoai Nam, Le Ngoc Ly, Nguyen Van Tien, Vu Minh Duc, Tran Quang Minh, Vu Tho Hung, Nguyen Thi Huong Giang
    2022-12-13
    40845 3026 Pages:468-484
1 - 27 of 69 items
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