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  • Computing the Ground and First Excited States of the Fractional Schrödinger Equation in an Infinite Potential Well

    Siwei Duo & Yanzhi Zhang
    2018-04-03
    39044 3103 Pages:321-350
  • Pseudospectral Methods for Computing the Multiple Solutions of the Schrödinger Equation

    Zhao-Xiang Li, Ji Lao & Zhong-Qing Wang
    2018-08-21
    47629 3143 Pages:822-845
  • A New Artificial Neural Network Method for Solving Schrödinger Equations on Unbounded Domains

    Joshua P. Wilson, Weizhong Dai, Aniruddha Bora, Jacob C. Boyt
    2022-10-28
    47343 3461 Pages:1039-1060
  • Towards a Theoretical Background for Strong-Scattering Inversion – Direct Envelope Inversion and Gel'fand-Levitan-Marchenko Theory

    Ru-Shan Wu
    2020-06-05
    51993 4951 Pages:41-73
  • Ground States and Energy Asymptotics of the Nonlinear Schrödinger Equation with a General Power Nonlinearity

    Xinran Ruan & Wenfan Yi
    2020-07-31
    43569 3209 Pages:1121-1142
  • Data Generation-Based Operator Learning for Solving Partial Differential Equations on Unbounded Domains

    Jihong Wang, Xin Wang, Jing Li, Bin Liu
    2025-05-29
    194 50 Pages:1383-1416
  • Efficient Numerical Computation of Time-Fractional Nonlinear Schrödinger Equations in Unbounded Domain

    Jiwei Zhang, Dongfang Li & Xavier Antoine
    2018-09-01
    46615 5292 Pages:218-243
  • A Coupled High-Order Continuous and Discontinuous Galerkin Finite Element Scheme for the Davey-Stewartson System

    Jinyang Lu, Qi Tao, Yan Xu
    2025-04-27
    207 54 Pages:975-1007
  • A Simple GPU Implementation of Spectral-Element Methods for Solving 3D Poisson Type Equations on Rectangular Domains and Its Applications

    Xinyu Liu, Jie Shen, Xiangxiong Zhang
    2024-12-02
    205 44 Pages:1157-1185
  • Explicit Computation of Robin Parameters in Optimized Schwarz Waveform Relaxation Methods for Schrödinger Equations Based on Pseudodifferential Operators

    Xavier Antoine, Emmanuel Lorin
    2020-02-23
    47588 3269 Pages:1032-1052
  • A Fast Time Splitting Finite Difference Approach to Gross–Pitaevskii Equations

    Marco Caliari, Simone Zuccher
    2021-03-24
    47764 3234 Pages:1336-1364
  • LOD-MS for Gross-Pitaevskii Equation in Bose-Einstein Condensates

    Linghua Kong, Jialin Hong & Jingjing Zhang
    2014-07-05
    39122 4745 Pages:219-241
  • Explicit Symplectic Methods for the Nonlinear Schrödinger Equation

    Hua Guan, Yandong Jiao, Ju Liu & Yifa Tang
    2009-06-01
    39619 3861 Pages:639-654
  • Construction of the Local Structure-Preserving Algorithms for the General Multi-Symplectic Hamiltonian System

    Jialing Wang, Yushun Wang, Dong Liang
    2020-07-30
    44627 3643 Pages:828-860
  • The Quantum Lattice Boltzmann Equation: Recent Developments

    Silvia Palpacelli & Sauro Succi
    2008-11-05
    37554 4511 Pages:980-1007
  • Stochastic Multi-Symplectic Integrator for Stochastic Nonlinear Schrödinger Equation

    Shanshan Jiang, Lijin Wang & Jialin Hong
    2014-08-05
    41434 3968 Pages:393-411
  • The WASP Model: A Micro-Macro System of Wave-Schrödinger-Plasma Equations for Filamentation

    E. Lorin, S. Chelkowski & A. D. Bandrauk
    2018-03-27
    37732 3767 Pages:406-440
  • A Review of Transparent and Artificial Boundary Conditions Techniques for Linear and Nonlinear Schrödinger Equations

    Xavier Antoine, Anton Arnold, Christophe Besse, Matthias Ehrhardt & Achim Schädle
    2008-04-01
    39884 4935 Pages:729-796 Open-access
  • An Energy-Preserving Wavelet Collocation Method for General Multi-Symplectic Formulations of Hamiltonian PDEs

    Yuezheng Gong & Yushun Wang
    2020-07-30
    42209 3501 Pages:1313-1339
  • Multi-Valued Solution and Level Set Methods in Computational High Frequency Wave Propagation

    H. Liu, S. Osher & R. Tsai
    2006-01-01
    39424 3802 Pages:765-804
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