Search Results

• Structure-Preserving Exponential Schemes with High Accuracy for the 2D/3D Nonlinear Schrödinger Type Equation

  Yayun Fu, Hongliang Liu

  2025-05-12

  8359 515 Pages:1088-1110

• Hamiltonian Boundary Value Method for the Nonlinear Schrödinger Equation and the Korteweg-de Vries Equation

  Mingzhan Song, Xu Qian, Hong Zhang, Songhe Song

  2018-05-05

  42063 2991 Pages:868-886

• Numerical Solution of Fractional Partial Differential Equations by Discrete Adomian Decomposition Method

  D. B. Dhaigude, Gunvant A. Birajdar

  2014-06-01

  45444 4955 Pages:107-119

• Mass-, and Energy-Preserving Sine Pseudo-Spectral Schemes with High-Accuracy for the Coupled Nonlinear Schrödinger Equation

  Yayun Fu, Gengen Zhang, Xu Qian, Songhe Song

  2025-07-19

  7446 466 Pages:1430-1455

• A Galerkin Splitting Symplectic Method for the Two Dimensional Nonlinear Schrödinger Equation

  Zhenguo Mu, Haochen Li, Yushun Wang, Wenjun Cai

  2018-09-17

  45536 3126 Pages:1069-1089

• A New Explicit Symplectic Fourier Pseudospectral Method for Klein-Gordon-Schrödinger Equation

  Yanhong Yang, Yongzhong Song, Haochen Li, Yushun Wang

  2018-09-17

  44063 4798 Pages:242-260

• 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

• Time-Space Adaptive Finite Element Method for Nonlinear Schrödinger Equation

  Yaoyao Chen, Ying Liu, Hao Wang

  2024-12-02

  13959 1026 Pages:207-223

• A Two-Grid Finite-Volume Method for the Schrödinger Equation

  Hongmei Zhang, Jianghua Yin, Jicheng Jin

  2020-10-20

  49923 4386 Pages:176-190

• A Conservative SAV-RRK Finite Element Method for the Nonlinear Schrödinger Equation

  Jun Yang, Nianyu Yi

  2023-02-24

  39942 3426 Pages:583-601

• 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

• Two-Grid Finite-Element Method for the Two-Dimensional Time-Dependent Schrödinger Equation

  Hongmei Zhang, Jicheng Jin, Jianyun Wang

  2013-05-01

  41675 4285 Pages:180-193

• An Efficient and Unconditionally Convergent Galerkin Finite Element Method for the Nonlinear Schrödinger Equation in High Dimensions

  Yue Cheng, Tingchun Wang, Boling Guo

  2021-04-13

  62832 4037 Pages:735-760

• Superconvergence of Finite Element Approximations of the Two-Dimensional Cubic Nonlinear Schrödinger Equation

  Jianyun Wang, Zhikun Tian

  2022-02-25

  48906 3338 Pages:652-665

• Two-Grid Crank-Nicolson Finite Volume Element Method for the Time-Dependent Schrödinger Equation

  Chuanjun Chen, Yuzhi Lou, Tong Zhang

  2022-08-08

  284711 3905 Pages:1357-1380

• Numerical Simulation for the Variable-Order Fractional Schrödinger Equation with the Quantum Riesz-Feller Derivative

  N. H. Sweilam, M. M. Abou Hasan

  2018-05-05

  42263 2900 Pages:990-1011

• A New Framework of Convergence Analysis for Solving the General Nonlinear Schrödinger Equation Using the Fourier Pseudo-Spectral Method in Two Dimensions

  Jialing Wang, Tingchun Wang, Yushun Wang

  2023-02-24

  38118 3194 Pages:786-813

• Superconvergence Analysis of Bilinear Finite Element for the Nonlinear Schrödinger Equation on the Rectangular Mesh

  Zhikun Tian, Yanping Chen, Jianyun Wang

  2018-09-17

  44905 3095 Pages:468-484

• Fourth-Order Compact Split-Step Finite Difference Method for Solving the Two- and Three-Dimensional Nonlinear Schrödinger Equations

  Rena Eskar, Xinlong Feng, Pengzhan Huang

  2018-09-17

  47385 3468 Pages:879-895

• Convergence Analysis on Stochastic Collocation Methods for the Linear Schrödinger Equation with Random Inputs

  Zhizhang Wu, Zhongyi Huang

  2020-03-06

  49303 4736 Pages:30-56

• 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

• Numerical Simulation of Non-Linear Schrödinger Equations in Arbitrary Domain by the Localized Method of Approximate Particular Solution

  Yongxing Hong, Jun Lu, Ji Lin, Wen Chen

  2019-01-04

  46110 4988 Pages:108-131

• Solutions of Fractional Partial Differential Equations of Quantum Mechanics

  S. D. Purohit

  2013-05-01

  43498 4490 Pages:639-651

• Coupling of Gaussian Beam and Finite Difference Solvers for Semiclassical Schrödinger Equations

  Emil Kieri, Gunilla Kreiss, Olof Runborg

  2021-07-01

  42456 4183 Pages:687-714

• Tailored Finite Point Method for Numerical Solutions of Singular Perturbed Eigenvalue Problems

  Houde Han, Yin-Tzer Shih, Chih-Ching Tsai

  2014-06-01

  51267 4314 Pages:376-402