Search Results

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

  Yayun Fu, Hongliang Liu

  2025-05-12

  8586 564 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

  42178 3017 Pages:868-886

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

  D. B. Dhaigude, Gunvant A. Birajdar

  2014-06-01

  45536 5005 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

  7895 507 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

  45656 3151 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

  44189 4863 Pages:242-260

• Two Novel Space-Time Polynomial Particular Solutions Methods for the Time-Dependent Schrödinger Equation

  Yanhua Cao, Song Luo

  2025-09-29

  7089 322 Pages:1789-1812

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

  Yaoyao Chen, Ying Liu, Hao Wang

  2024-12-02

  14229 1118 Pages:207-223

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

  Hongmei Zhang, Jianghua Yin, Jicheng Jin

  2020-10-20

  50057 4452 Pages:176-190

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

  Jun Yang, Nianyu Yi

  2023-02-24

  40129 3480 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

  2026-06-01

  4137 73 Pages:1009-1036

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

  Hongmei Zhang, Jicheng Jin, Jianyun Wang

  2013-05-01

  41776 4357 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

  62957 4069 Pages:735-760

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

  Jianyun Wang, Zhikun Tian

  2022-02-25

  49044 3369 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

  284869 3937 Pages:1357-1380

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

  Zhikun Tian, Yanping Chen, Jianyun Wang

  2018-09-17

  45025 3123 Pages:468-484

• 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

  38290 3223 Pages:786-813

• 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

  42374 2918 Pages:990-1011

• 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

  47499 3498 Pages:879-895

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

  Zhizhang Wu, Zhongyi Huang

  2020-03-06

  49450 4790 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

  41191 4148 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

  46239 5060 Pages:108-131

• Solutions of Fractional Partial Differential Equations of Quantum Mechanics

  S. D. Purohit

  2013-05-01

  43605 4537 Pages:639-651

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

  Emil Kieri, Gunilla Kreiss, Olof Runborg

  2021-07-01

  42574 4206 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

  51381 4376 Pages:376-402