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Advances in Applied Mathematics and Mechanics
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  • A Convex-Splitting Scheme for a Diffuse Interface Model with Peng-Robinson Equation of State

    Qiujin Peng
    2018-05-05
    44947 3079 Pages:1162-1188
  • Finite Volume Element Method for a Nonlinear Parabolic Equation

    Yanwei Du, Yonghai Li
    2025-03-14
    11085 765 Pages:681-705
  • A Weak Galerkin Method with $C^0$ Element for Fourth Order Linear Parabolic Equation

    Shimin Chai, Yongkui Zou, Wenju Zhao
    2019-01-11
    44443 3061 Pages:467-485
  • Analysis of Finite Difference Approximations of an Optimal Control Problem in Economics

    Alexander Lapin, Shuhua Zhang, Sergey Lapin, Na Yan
    2021-07-01
    48803 4424 Pages:1358-1375
  • A Fully Discrete Method for Space-Time Fractional Parabolic Problems

    Zunlin Tan, Xiaoping Xie
    2025-11-28
    91 3
  • A Method of Lines Based on Immersed Finite Elements for Parabolic Moving Interface Problems

    Tao Lin, Yanping Lin, Xu Zhang
    2021-01-13
    42468 4124 Pages:548-568
  • Error Estimate and Superconvergence of a High-Accuracy Difference Scheme for Solving Parabolic Equations with an Integral Two-Space-Variables Condition

    Liping Zhou, Shi Shu, Haiyuan Yu
    2018-09-17
    43913 3154 Pages:362-389
  • An Upwind Mixed Volume Element-Fractional Step Method on a Changing Mesh for Compressible Contamination Treatment from Nuclear Waste

    Changfeng Li, Yirang Yuan, Huailing Song
    2021-07-01
    46374 3884 Pages:1384-1417
  • A Novel B-Spline Method for Modeling Transport Problems in Anisotropic Inhomogeneous Media

    Sergiy Reutskiy, Ji Lin, Bin Zheng, Jiyou Tong
    2020-12-21
    47424 3118 Pages:590-618
  • The Variational Iteration Method for an Inverse Problem of Finding a Source Parameter

    Zongli Ma, Shumin Li
    2018-05-05
    42109 2982 Pages:861-867
  • Alternating Direction Implicit Orthogonal Spline Collocation on Non-Rectangular Regions

    Bernard Bialecki, Ryan I. Fernandes
    2021-01-13
    42373 4215 Pages:461-476
  • A Priori Error Estimates of Finite Element Methods for Linear Parabolic Integro-Differential Optimal Control Problems

    Wanfang Shen, Liang Ge, Danping Yang, Wenbin Liu
    2014-06-01
    42980 4213 Pages:552-569
  • A New Reduced Basis Method for Parabolic Equations Based on Single-Eigenvalue Acceleration

    Qijia Zhai, Qingguo Hong, Xiaoping Xie
    2024-11-01
    15758 1386 Pages:1328-1357
  • A Modified Hybrid High-Order Essentially Non-Oscillatory Compact Difference Scheme for Nonlinear Degenerate Parabolic Equations

    Xiaohua Zhang, Shengfeng Wang
    2025-10-29
    4500 129 Pages:482-518
  • A Priori Error Estimates of Crank-Nicolson Finite Volume Element Method for Parabolic Optimal Control Problems

    Xianbing Luo, Yanping Chen, Yunqing Huang
    2013-05-01
    42665 4159 Pages:688-704
  • A Front-Tracking Method for Motion by Mean Curvature with Surfactant

    Ming-Chih Lai, Che-Wei Hsu, Huaxiong Huang
    2018-08-10
    39535 3888 Pages:288-300
  • An Explicit Superconvergent Weak Galerkin Finite Element Method for the Heat Equation

    Fuzheng Gao, Shangyou Zhang
    2024-12-31
    12876 1125 Pages:538-553
  • Efficient and Stable Exponential Runge-Kutta Methods for Parabolic Equations

    Liyong Zhu
    2018-05-05
    43341 4664 Pages:157-172
  • Convergence of Monotone Schemes for Conservation Laws with Zero-Flux Boundary Conditions

    K. H. Karlsen, J. D. Towers
    2018-08-04
    42949 4261 Pages:515-542 Open-access
  • 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
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