Recent advances in the numerical solution of the Nonlinear Schrödinger Equation

被引:0
|
作者
Barletti, Luigi [1 ]
Brugnano, Luigi [1 ]
Gurioli, Gianmarco [1 ]
Iavernaro, Felice [2 ]
机构
[1] Dipartimento di Matematica e Informatica U. Dini, Università di Firenze, Italy
[2] Dipartimento di Matematica, Università di Bari Aldo Moro, Italy
关键词
Compendex;
D O I
暂无
中图分类号
学科分类号
摘要
Runge Kutta methods
引用
收藏
相关论文
共 50 条
  • [31] General Solution of the Schrödinger Equation
    Sergeenko, M. N.
    PHYSICS OF PARTICLES AND NUCLEI, 2024, 55 (06) : 1506 - 1510
  • [32] Embedded eighth order methods for the numerical solution of the Schrödinger equation
    G. Avdelas
    T.E. Simos
    Journal of Mathematical Chemistry, 1999, 26 : 327 - 341
  • [33] Existence of Standing Waves Solution for a Nonlinear Schrödinger Equation in RN
    Alves C.O.
    Journal of Elliptic and Parabolic Equations, 2015, 1 (2) : 231 - 241
  • [34] Numerical Solution of Schrödinger Equation by Crank-Nicolson Method
    Khan, Amin
    Ahsan, Muhammad
    Bonyah, Ebenezer
    Jan, Rashid
    Nisar, Muhammad
    Abdel-Aty, Abdel-Haleem
    Yahia, Ibrahim S.
    Mathematical Problems in Engineering, 2022, 2022
  • [35] Computation of excited states for the nonlinear Schrödinger equation: numerical and theoretical analysis
    Besse, Christophe
    Duboscq, Romain
    Le Coz, Stefan
    ESAIM-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS, 2025, 59 (02) : 899 - 923
  • [36] The local wave phenomenon in the quintic nonlinear Schrödinger equation by numerical methods
    Yaning Tang
    Zaijun Liang
    Wenxian Xie
    Nonlinear Dynamics, 2022, 108 : 1547 - 1559
  • [37] A conservative numerical method for the fractional nonlinear Schrödinger equation in two dimensions
    Rongpei Zhang
    Yong-Tao Zhang
    Zhen Wang
    Bo Chen
    Yi Zhang
    Science China Mathematics, 2019, 62 : 1997 - 2014
  • [38] A NONLINEAR SCHR?DINGER EQUATION WITH COULOMB POTENTIAL
    苗长兴
    张军勇
    郑继强
    Acta Mathematica Scientia, 2022, 42 (06) : 2230 - 2256
  • [39] A nonlinear Schrödinger equation with Coulomb potential
    Changxing Miao
    Junyong Zhang
    Jiqiang Zheng
    Acta Mathematica Scientia, 2022, 42 : 2230 - 2256
  • [40] Stationary solutions for the nonlinear Schrödinger equation
    Ferrario, Benedetta
    Zanella, Margherita
    STOCHASTICS AND PARTIAL DIFFERENTIAL EQUATIONS-ANALYSIS AND COMPUTATIONS, 2025,