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Advances in Applied Mathematics and Mechanics
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  • Positive and Conservative Characteristic Block-Centered Finite Difference Methods for Convection Dominated Diffusion Equations

    Xinshu Li, Kai Fu
    2022-06-13
    42234 3547 Pages:1087-1110
  • 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
  • A New Fifth-Order Finite Difference WENO Scheme for Dam-Break Simulations

    Xiaogang Li, Guodong Li, Yongbin Ge
    2020-10-20
    50981 4699 Pages:58-82
  • A Class of Robust Low Dissipation Nested Multi-Resolution WENO Schemes for Solving Hyperbolic Conservation Laws

    Zhenming Wang, Jun Zhu, Yuchen Yang, Linlin Tian, Ning Zhao
    2021-06-08
    45960 3170 Pages:1064-1095
  • A Fast High Order Iterative Solver for the Electromagnetic Scattering by Open Cavities Filled with the Inhomogeneous Media

    Meiling Zhao
    2013-05-01
    41591 4231 Pages:235-257
  • A High-Order Localized Artificial Diffusivity Scheme for Discontinuity Capturing on 1D Drift-Flux Models for Gas-Liquid Flows

    Adyllyson H. Nascimento, Eugênio S. Rosa
    2023-12-21
    26519 2291 Pages:47-74
  • Reduction of Numerical Oscillations in Simulating Moving-Boundary Problems by the Local DFD Method

    Yang Zhang, Chunhua Zhou
    2018-05-05
    44064 4462 Pages:145-165
  • A Novel Discretization Method for Semilinear Reaction-Diffusion Equation

    Luoping Chen, Yanping Chen
    2018-09-17
    44385 3116 Pages:409-423
  • Second-Order Schemes for Fokker-Planck Equations with Discontinuous Drift

    Boya Zhang, Yaming Chen, Songhe Song
    2018-09-17
    44849 3101 Pages:343-361
  • A Compact Eulerian Interface–Capturing Algorithm for Compressible Multimaterial Elastic–Plastic Flows with Mie–Grüneisen Equation of State

    Xiang Li, Dong-Jun Ma, Nan-Sheng Liu, Pei Wang
    2022-12-13
    38406 2884 Pages:485-521
  • Numerical Study of Double Diffusive Convection in Partially Heated Vertical Open Ended Cylindrical Annulus

    Mani Sankar
    2021-07-01
    40641 4093 Pages:763-783
  • Explorations and Expectations of Equidistribution Adaptations for Nonlinear Quenching Problems

    Matthew A. Beauregard, Qin Sheng
    2021-01-13
    42820 4249 Pages:407-422
  • 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
  • Mechanisms for Stabilizing Thermal Lattice Boltzmann Equation and Their Applications for Convection-Diffusion Problem on Nonuniform Meshes

    Jinhua Lu
    2025-09-29
    5015 251 Pages:1715-1741
  • A Characteristics-Mixed Volume Element Method for the Displacement Problem of Enhanced Oil Recovery

    Yirang Yuan, Aijie Cheng, Changfeng Li, Tongjun Sun, Qing Yang
    2019-06-24
    45405 3243 Pages:1084-1113
  • On Modifications of Continuous and Discrete Maximum Principles for Reaction-Diffusion Problems

    István Faragό, Sergey Korotov, Tamás Szabό
    2011-03-01
    41647 4463 Pages:109-120
  • Analysis of an Implicit Fully Discrete Local Discontinuous Galerkin Method for the Time-Fractional Kdv Equation

    Leilei Wei, Yinnian He, Xindong Zhang
    2018-05-05
    41538 3117 Pages:510-527
  • 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 Weak Galerkin Mixed Finite Element Method for Acoustic Wave Equation

    Xi Zhang & Minfu Feng
    2022-04-11
    45286 3596 Pages:936-959
  • Two Novel Space-Time Polynomial Particular Solutions Methods for the Time-Dependent Schrödinger Equation

    Yanhua Cao, Song Luo
    2025-09-29
    5028 246 Pages:1789-1812
  • 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
  • High Order Hybrid Weighted Compact Nonlinear Schemes for Hyperbolic Conservation Laws

    Peng Li, Xiqiang Zhao, Zhen Gao, Bao-Shan Wang
    2020-06-01
    50131 3372 Pages:972-991
  • On the Comparison Between Lattice Boltzmann Methods and Spectral Methods for DNS of Incompressible Turbulent Channel Flows on Small Domain Size

    Liren Li, Yipeng Shi, Shengqi Zhang, Lian-Ping Wang, Zhenhua Xia
    2019-04-16
    49862 3243 Pages:598-607
  • A New High-Order Conservative Patched Grid Strategy Based on Collapsed Edge

    Yidao Dong, Xiaogang Deng, Yaming Chen, Xu Dan, Guangxue Wang
    2018-09-17
    44318 3017 Pages:611-633
  • Two-Level Hierarchical PCG Methods for the Quadratic FEM Discretizations of 2D Concrete Aggregate Models

    Yingxiong Xiao, Heng Chen and Lingjie Xie
    2021-07-01
    47916 4194 Pages:1376-1397
  • 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
  • A Reduced Basis Method for the Nonlinear Poisson-Boltzmann Equation

    Lijie Ji, Yanlai Chen, Zhenli Xu
    2019-06-24
    46360 3206 Pages:1200-1218
55 - 81 of 103 items
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