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Advances in Applied Mathematics and Mechanics
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  • Some Weighted Averaging Methods for Gradient Recovery

    Yunqing Huang, Kai Jiang, Nianyu Yi
    2018-08-10
    42295 4336 Pages:131-155
  • Simulations of Two-Step Maruyama Methods for Nonlinear Stochastic Delay Differential Equations

    Wanrong Cao, Zhongqiang Zhang
    2021-07-01
    42683 4188 Pages:821-832
  • Modification of Multiple Knot $B$-Spline Wavelet for Solving (Partially) Dirichlet Boundary Value Problem

    Fatemeh Pourakbari, Ali Tavakoli
    2021-07-01
    43537 4445 Pages:799-820
  • A Modified Helmholtz Equation with Impedance Boundary Conditions

    Robert S. Callihan, Aihua W. Wood
    2021-07-01
    43703 4354 Pages:703-718
  • 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
  • Finite Difference/Element Method for a Two-Dimensional Modified Fractional Diffusion Equation

    Na Zhang, Weihua Deng, Yujiang Wu
    2012-04-01
    42409 4603 Pages:496-518
  • Influence of Gravity and Taper on the Vibration of a Standing Column

    C. Y. Wang
    2012-04-01
    41710 4475 Pages:483-495
  • Three Boundary Meshless Methods for Heat Conduction Analysis in Nonlinear FGMs with Kirchhoff and Laplace Transformation

    Zhuo-Jia Fu, Wen Chen, Qing-Hua Qin
    2012-04-01
    41652 4255 Pages:519-542
  • Exponential Time Differencing Schemes for the Peng-Robinson Equation of State with Preservation of Maximum Bound Principle

    Qiumei Huang, Kun Jiang, Jingwei Li
    2022-01-24
    42494 3430 Pages:494-527
  • Finite Element Method Coupling Penalty Method for Flexural Shell Model

    Xiaoqin Shen, Yongjie Xue, Qian Yang, Shengfeng Zhu
    2022-01-24
    42075 3243 Pages:365-385
  • Toward Cost-Effective Reservoir Simulation Solvers on GPUs

    Zheng Li, Shuhong Wu, Jinchao Xu, Chensong Zhang
    2021-07-01
    43570 4015 Pages:971-991
  • Analyzing the Effects of Key Design Factors of a Negative-Differential-Resistance (NDR) Microfluidic Oscillator – An Equivalent-Circuit-Model Approach

    J. W. Wu, H. M. Xia, Z. P. Wang, W. Wang, H. J. Du
    2022-08-08
    279423 3896 Pages:1381-1399
  • Stability and Convergence of the Canonical Euler Splitting Method for Nonlinear Composite Stiff Functional Differential-Algebraic Equations

    Hongliang Liu, Yameng Zhang, Haodong Li, Shoufu Li
    2022-08-08
    297911 4316 Pages:1276-1301
  • A Parallel Numerical Method for Risk Assessment of Myocardial Infarction During Liver Transplantation: A Case Study

    Zhengzheng Yan, Dandan Shang, Jingzhi Li, Rongliang Chen
    2022-08-08
    304549 3930 Pages:1225-1245
  • A Fifth Order Alternative Mapped WENO Scheme for Nonlinear Hyperbolic Conservation Laws

    Uttam Singh Rajput, Krishna Mohan Singh
    2021-11-18
    49800 4422 Pages:275-298
  • Spectral Collocation Method for a Class of Integro-Differential Equations with Erdélyi-Kober Fractional Operator

    M. Toranj-Simin, M. Hadizadeh
    2020-01-17
    55934 3239 Pages:386-406
  • Entropy Generation Analysis around Airfoil Using Multi-Block Lattice Boltzmann Method

    Wei Wang, Jun Wang, Zhiang Li, Zhiliang Lin
    2022-02-25
    46403 3354 Pages:777-798
  • A Well-Balanced Runge-Kutta Discontinuous Galerkin Method for Multilayer Shallow Water Equations with Non-Flat Bottom Topography

    Nouh Izem, Mohammed Seaid
    2022-02-25
    47360 3264 Pages:725-758
  • On Stable Difference Schemes for the Solution of Soliton Type Coupled Sine-Gordon Equations in the Weak Sense

    Ozgur Yildirim
    2025-11-22
    197 2
  • Lattice Boltzmann Model for Time-Fractional Nonlinear Wave Equations

    Yibo Wang, Rui Du & Zhenhua Chai
    2022-04-11
    44675 3630 Pages:914-935
  • Chebyshev-Lagrange Multipliers Technique for Vibration Analysis of Functionally Graded Material Beams Using Various Beam Theories

    Sacharuck Pornpeerakeat & Sakda Katawaethwarag
    2022-04-11
    43696 3584 Pages:871-892
  • First-Order, Unconditionally Stable, Fully Decoupled Methods for the Penalty Ericksen-Leslie System with Variable Density

    Zhaowei Wang, Danxia Wang, Hongen Jia, Chenhui Zhang
    2025-10-29
    4466 106 Pages:666-699
  • On a Large Time-Stepping Method for the Swift-Hohenberg Equation

    Zhengru Zhang, Yuanzi Ma
    2021-07-01
    44078 4146 Pages:992-1003
  • A Well-Balanced Weighted Compact Nonlinear Scheme for Pre-Balanced Shallow Water Equations

    Mingyang Cheng, Lingyan Tang, Yaming Chen, Songhe Song
    2022-06-13
    42256 3537 Pages:1181-1200
  • Solving PDEs with a Hybrid Radial Basis Function: Power-Generalized Multiquadric Kernel

    Cem Berk Senel, Jeroen van Beeck, Atakan Altinkaynak
    2022-06-13
    43767 3531 Pages:1161-1180
  • An Adaptive Time and Space Discretization Approach for Simulating Unsteady Navier-Stokes Flows

    Biao Peng, Chunhua Zhou, Junqiang Ai
    2019-01-11
    44173 3108 Pages:406-427
  • Size-Dependent Geometrically Nonlinear Free Vibration of First-Order Shear Deformable Piezoelectric-Piezomagnetic Nanobeams Using the Nonlocal Theory

    Raheb Gholami, Reza Ansari
    2018-09-17
    44988 4918 Pages:184-208
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