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Advances in Applied Mathematics and Mechanics
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  • 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
  • New Finite Volume Mapped Unequal-Sized WENO Scheme for Hyperbolic Conservation Laws

    Yan Zhang, Jun Zhu
    2024-01-04
    26800 2430 Pages:459-492
  • 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 Crank-Nicolson Finite Difference Scheme for the (2+1)D Saturable Nonlinear Schrödinger Equation with Generalized Damping

    Anh Ha Le, Quan M. Nguyen
    2025-11-22
    185 2
  • 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
  • Multiderivative Combined Dissipative Compact Scheme Satisfying Geometric Conservation Law I: Basic Formulations and Performance Evaluation

    Yi Jiang, Meiliang Mao, Xiaogang Deng, Huayong Liu
    2019-01-11
    44110 3110 Pages:255-284
  • A Three-Dimensional Gas-Kinetic BGK Scheme for Simulating Flows in Rotating Machinery

    Di Zhou, Zhiliang Lu, Tongqing Guo
    2019-01-04
    47327 4389 Pages:168-196
  • Corrected Linear-Galerkin Schemes to Preserve Second-Order Accuracy for Cell-Centered Unstructured Finite Volume Methods

    Lingfa Kong, Yidao Dong, Wei Liu
    2024-07-22
    31446 2389 Pages:1056-1103
  • A Robust Three-Level Time Split High-Order Leapfrog/Crank-Nicolson Scheme for Two-Dimensional Sobolev and Regularized Long Wave Equations Arising in Fluid Mechanics

    Eric Ngondiep
    2025-03-14
    11029 774 Pages:956-988
  • Noise Prediction in Subsonic Flow Using Seventh-Order Dissipative Compact Scheme on Curvilinear Mesh

    Meiliang Mao, Yi Jiang, Xiaogang Deng, Huayong Liu
    2018-05-05
    41457 3093 Pages:236-256
  • Numerical Analysis of the Mixed 4th-Order Runge-Kutta Scheme of Conditional Nonlinear Optimal Perturbation Approach for the EI Niño-Southern Oscillation Model

    Xin Zhao, Jian Li, Wansuo Duan, Dongqian Xue
    2021-07-01
    43839 3799 Pages:1023-1035
  • Study of Heat Transfer Control with Magnetic Field Using Higher Order Finite Difference Scheme

    R. Sivakumar, S. Vimala, S. Damodaran, T. V. S. Sekhar
    2018-05-05
    40660 3075 Pages:449-463
  • Osher Flux with Entropy Fix for Two-Dimensional Euler Equations

    Huajun Zhu, Xiaogang Deng, Meiliang Mao, Huayong Liu, Guohua Tu
    2018-05-05
    41344 2875 Pages:670-692
  • Numerical Simulations of Two Coaxial Vortex Rings Head-on Collision

    Hui Guan, Zhi-Jun Wei, Elizabeth Rumenova Rasolkova, Chui-Jie Wu
    2018-05-05
    41546 3029 Pages:616-647
  • Edge Detectors Based on Pauta Criterion with Application to Hybrid Compact-WENO Finite Difference Scheme

    Chunhua Zhang, Zhen Gao, Sa Ye, Peng Li
    2023-10-11
    71719 3037 Pages:1379-1406
  • Impacts of Down-Up Hill Segment on the Threshold of Shock Formation of Ring Road Vehicular Flow

    Zejing Hu, M. N. Smirnova, N. N. Smirnov, Yongliang Zhang, Zuojin Zhu
    2023-06-21
    36315 2910 Pages:1315-1334
  • On the Convergence of a Crank-Nicolson Fitted Finite Volume Method for Pricing European Options Under Regime-Switching Kou’s Jump-Diffusion Models

    Xiaoting Gan, Junfeng Yin, Rui Li
    2023-06-21
    36721 2917 Pages:1290-1314
  • A Free Streaming Contact Preserving Scheme for the M1 Model

    C. Berthon, J. Dubois, B. Dubroca, T.-H. Nguyen-Bui, R. Turpault
    2018-11-01
    40260 3709 Pages:259-285
  • Robust Semi-Discrete and Fully Discrete Hybrid Stress Finite Element Methods for Elastodynamic Problems

    Xiaojing Xu, Xiaoping Xie
    2018-05-05
    41886 3036 Pages:324-348
  • 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
  • A Second-Order Three-Level Difference Scheme for a Magneto-Thermo-Elasticity Model

    Hai-Yan Cao, Zhi-Zhong Sun, Xuan Zhao
    2014-06-01
    42103 4188 Pages:281-298
  • A New Finite Volume Element Formulation for the Non-Stationary Navier-Stokes Equations

    Zhendong Luo
    2014-06-01
    42778 4334 Pages:615-636
  • Fourth Order Compact Boundary Value Method for Option Pricing with Jumps

    Spike T. Lee, Hai-Wei Sun
    2021-07-01
    40806 4028 Pages:845-861
  • Investigation of Taylor-Görtler-like Vortices Using the Parallel Consistent Splitting Scheme

    Yong Hong Kuo, Kawi-Lam Wong, Jeff Chak-Fu Wong
    2021-07-01
    42250 4504 Pages:799-815
  • Collocation Methods for Hyperbolic Partial Differential Equations with Singular Sources

    Jae-Hun Jung, Wai Sun Don
    2021-07-01
    41515 4132 Pages:769-780
  • Symplectic Euler Method for Nonlinear High Order Schrödinger Equation with a Trapped Term

    Fangfang Fu, Linghua Kong, Lan Wang
    2018-08-10
    41056 4093 Pages:699-710
  • High Level Languages Implementation and Analysis of 3D Navier-Stokes Solvers

    Valerio Grazioso, Carlo Scalo, Giuseppe de Felice, Carlo Meola
    2021-01-21
    40284 4016 Pages:370-388
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