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  • A Spectral Method for a Fokker-Planck Equation in Neuroscience with Applications in Neuron Networks with Learning Rules

    Pei Zhang, Yanli Wang, Zhennan Zhou
    2024-01-31
    28862 2368 Pages:70-106
  • Detonation Simulations with a Fifth-Order TENO Scheme

    Haibo Dong, Lin Fu, Fan Zhang, Yu Liu & Jun Liu
    2019-01-10
    49633 4111 Pages:1357-1393
  • An All-Speed Asymptotic-Preserving Method for the Isentropic Euler and Navier-Stokes Equations

    Jeffrey Haack, Shi Jin & Jian-Guo Liu
    2012-12-01
    40286 4111 Pages:955-980
  • An Implicit Unified Gas Kinetic Scheme for Radiative Transfer with Equilibrium and Non-Equilibrium Diffusive Limits

    Wenjun Sun, Song Jiang & Kun Xu
    2017-10-02
    43527 3285 Pages:889-912
  • LOD-MS for Gross-Pitaevskii Equation in Bose-Einstein Condensates

    Linghua Kong, Jialin Hong & Jingjing Zhang
    2014-07-05
    39122 4745 Pages:219-241
  • Numerical Solutions of Coupled Nonlinear Schrödinger Equations by Orthogonal Spline Collocation Method

    Qing-Jiang Meng, Li-Ping Yin, Xiao-Qing Jin & Fang-Li Qiao
    2012-12-01
    42045 3816 Pages:1392-1416
  • High Order Finite Difference Hermite WENO Fixed-Point Fast Sweeping Method for Static Hamilton-Jacobi Equations

    Yupeng Ren, Yulong Xing, Jianxian Qiu
    2021-12-06
    47369 3809 Pages:154-187
  • Anomalous Sorption Kinetics of Self-Interacting Particles by a Spherical Trap

    Antonio Raudino, Antonio Grassi, Giuseppe Lombardo, Giovanni Russo, Clarissa Astuto, Mario Corti
    2022-03-03
    45450 3150 Pages:707-738
  • A Numerical Study of the 3-Periodic Wave Solutions to Toda-Type Equations

    Yingnan Zhang, Xingbiao Hu, Yi He & Jianqing Sun
    2019-04-04
    45686 3362 Pages:579-598
  • A High Order Adaptive Time-Stepping Strategy and Local Discontinuous Galerkin Method for the Modified Phase Field Crystal Equation

    Ruihan Guo & Yan Xu
    2018-09-17
    67668 5387 Pages:123-151
  • Dynamics of Defect Motion in Nematic Liquid Crystal Flow: Modeling and Numerical Simulation

    C. Liu, J. Shen & X. Yang
    2007-02-01
    37819 4048 Pages:1184-1198
  • Decoupled, Energy Stable Numerical Scheme for the Cahn-Hilliard-Hele-Shaw System with Logarithmic Flory-Huggins Potential

    Hong-En Jia, Ya-Yu Guo, Ming Li, Yunqing Huang, Guo-Rui Feng
    2020-02-23
    48379 3215 Pages:1053-1075
  • Mesh Sensitivity for Numerical Solutions of Phase-Field Equations Using r-Adaptive Finite Element Methods

    Heyu Wang & Ruo Li
    2018-03-24
    40018 3934 Pages:357-375
  • A Multi-Scale DNN Algorithm for Nonlinear Elliptic Equations with Multiple Scales

    Xi-An Li, Zhi-Qin John Xu, Lei Zhang
    2020-11-18
    67104 3635 Pages:1886-1906
  • Numerical Simulations for Full History Recursive Multilevel Picard Approximations for Systems of High-Dimensional Partial Differential Equations

    Sebastian Becker, Ramon Braunwarth, Martin Hutzenthaler, Arnulf Jentzen, Philippe von Wurstemberger
    2020-11-18
    64226 3325 Pages:2109-2138
  • A Lowest-Order Mixed Finite Element Method for the Elastic Transmission Eigenvalue Problem

    Yingxia Xi, Xia Ji
    2020-07-21
    47228 3099 Pages:1105-1132
  • Central Discontinuous Galerkin Methods for the Generalized Korteweg-de Vries Equation

    Mengjiao Jiao, Yingda Cheng, Yong Liu, Mengping Zhang
    2020-07-21
    48213 3258 Pages:927-966
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