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Advances in Applied Mathematics and Mechanics
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  • 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 Hybrided Trapezoidal-Difference Scheme for Nonlinear Time-Fractional Fourth-Order Advection-Dispersion Equation Based on Chebyshev Spectral Collocation Method

    Shichao Yi, Hongguang Sun
    2019-01-04
    46429 4416 Pages:197-215
  • 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
  • A Splitting Method for the Degasperis-Procesi Equation Using an Optimized WENO Scheme and the Fourier Pseudospectral Method

    Yunrui Guo, Wenjing Yang, Hong Zhang, Ji Wang, Songhe Song
    2019-01-04
    47416 5050 Pages:53-71
  • Improvements to Enhance Robustness of Third-Order Scale-Independent WENO-Z Schemes

    Qin Li, Pan Yan, Xiao Huang, Yihui Weng, Yancheng You, Yi Duan
    2024-12-31
    13213 1219 Pages:373-406
  • Spatial-Temporal Adaptive-Order Positivity-Preserving WENO Finite Difference Scheme with Relaxed CFL Condition for Euler Equations with Extreme Conditions

    Jia-Le Li, Wai-Sun Don, Cai-Feng Wang, Bao-Shan Wang
    2025-03-14
    11235 796 Pages:804-839
  • Optimal Error Analysis of Euler and BDF2 Semi-Renormalized FEMs for the Landau-Lifshitz-Slonczewski Equation

    Yundan Zhao, Rong An
    2025-05-12
    8540 499 Pages:1063-1087
  • Penalty Finite Element Method for the 2D/3D Unsteady Incompressible Thermomicropolar Fluid Equations

    Junru Guo, Demin Liu
    2025-07-19
    7516 462 Pages:1509-1549
  • Fluid-Structure Interaction Simulation of Heart Valve Flows by a Hybrid Immersed-Boundary/Body-Fitted-Grid Method

    Jingyang Wang, Chunhua Zhou, Zhendong Xu
    2025-07-19
    7507 460 Pages:1456-1480
  • On a Large Time-Stepping Method for the Swift-Hohenberg Equation

    Zhengru Zhang, Yuanzi Ma
    2021-07-01
    44078 4146 Pages:992-1003
  • Time-Domain Numerical Solutions of Maxwell Interface Problems with Discontinuous Electromagnetic Waves

    Ya Zhang, Duc Duy Nguyen, Kewei Du, Jin Xu, Shan Zhao
    2018-05-05
    41886 4574 Pages:353-385 Open-access
  • Spectral Galerkin Approximation of Fractional Optimal Control Problems with Fractional Laplacian

    Jiaqi Zhang, Yin Yang, Zhaojie Zhou
    2023-10-11
    30650 2720 Pages:1631-1654
  • A Coiflet Wavelet Homotopy Technique for Nonlinear PDEs: Application to the Extreme Bending of Orthotropic Plate with Forced Boundary Constraints

    Qiang Yu, Shuaimin Wang, Junfeng Xiao, Hang Xu
    2023-10-11
    30798 2732 Pages:1473-1514
  • A Conservative SAV-RRK Finite Element Method for the Nonlinear Schrödinger Equation

    Jun Yang, Nianyu Yi
    2023-02-24
    39942 3426 Pages:583-601
  • The Formulation of Finite Difference RBFWENO Schemes for Hyperbolic Conservation Laws: An Alternative Technique

    Rooholah Abedian, Mehdi Dehghan
    2023-04-11
    38309 3187 Pages:1023-1055
  • A Numerical Study of Two-Fluid Models with Pressure and Velocity Relaxation

    Svend Tollak Munkejord
    2010-02-01
    40382 3863 Pages:131-159
  • A High-Efficient Algorithm for Parabolic Problems with Time-Dependent Coefficients

    Chuanmiao Chen, Xiangqi Wang, Hongling Hu
    2018-05-05
    40389 2886 Pages:501-514
  • Analysis of Solving Galerkin Finite Element Methods with Symmetric Pressure Stabilization for the Unsteady Navier-Stokes Equations Using Conforming Equal Order Interpolation

    Gang Chen, Minfu Feng
    2018-05-05
    41820 2979 Pages:362-377
  • On the Factors Affecting the Accuracy and Robustness of Smoothed-Radial Point Interpolation Method

    Abderrachid Hamrani, Idir Belaidi, Eric Monteiro, Philippe Lorong
    2018-05-05
    43918 4527 Pages:43-72
  • Two-Grid Discretization Scheme for Nonlinear Reaction Diffusion Equation by Mixed Finite Element Methods

    Luoping Chen, Yanping Chen
    2014-06-01
    43685 4639 Pages:203-219
  • Explicit Multi-Symplectic Splitting Methods for the Nonlinear Dirac Equation

    Yaming Chen, Songhe Song, Huajun Zhu
    2014-06-01
    43800 4458 Pages:494-514
  • Analysis of Two-Grid Methods for Nonlinear Parabolic Equations by Expanded Mixed Finite Element Methods

    Yanping Chen, Peng Luan, Zuliang Lu
    2021-07-01
    41511 4132 Pages:830-844
  • Finite Element $θ$-Schemes for the Acoustic Wave Equation

    Samir Karaa
    2018-08-10
    41812 4130 Pages:181-203
  • Investigation of HDD Ramp Unloading Processes with an Efficient Scheme

    Yan Liu, Hejun Du
    2021-07-01
    40749 4199 Pages:716-728
  • Multi-Symplectic Wavelet Collocation Method for Maxwell's Equations

    Huajun Zhu, Songhe Song, Yaming Chen
    2021-07-01
    41152 4191 Pages:663-688
  • Finite Element Methods for Nonlinear Backward Stochastic Partial Differential Equations and Their Error Estimates

    Xu Yang, Weidong Zhao
    2021-07-01
    47878 4145 Pages:1457-1480
  • Performance Comparison on Parallel CPU and GPU Algorithms for Two Dimensional Unified Gas-Kinetic Scheme

    Jizhou Liu, Xiaodong Li, Fang Q. Hu
    2020-07-24
    45365 3237 Pages:1247-1260
136 - 162 of 299 items
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