On MHSS-type iteration method for discrete space fractional nonlinear Schrödinger equations

DOI10.12286/jssx.j2020-0767MaRDI QIDQ6665165

Yu Zhu, Fang Chen

Publication date: 17 January 2025

Published in: Mathematica Numerica Sinica (Search for Journal in Brave)

zbMATH Keywords

discretizationSchrödinger equationMHSS-type iteration method

Mathematics Subject Classification ID

Iterative numerical methods for linear systems (65F10)

Cites Work

• Maximum-norm error analysis of a difference scheme for the space fractional CNLS
• A linearly implicit conservative difference scheme for the space fractional coupled nonlinear Schrödinger equations
• Crank-Nicolson difference scheme for the coupled nonlinear Schrödinger equations with the Riesz space fractional derivative
• Riesz potential operators and inverses via fractional centred derivatives
• Modified HSS iteration methods for a class of complex symmetric linear systems
• Fractional quantum mechanics and Lévy path integrals
• On HSS-like iteration method for the space fractional coupled nonlinear Schrödinger equations
• Preconditioned Hermitian and skew-Hermitian splitting methods for non-Hemitian positive semidefinite linear systems
• Preconditioned modified Hermitian and skew-Hermitian splitting iteration methods for fractional nonlinear Schrödinger equations
• On inexact Hermitian and skew-Hermitian splitting methods for non-Hermitian positive definite linear systems
• Convergence properties of preconditioned Hermitian and skew-Hermitian splitting methods for non-Hermitian positive semidefinite matrices
• Hermitian and Skew-Hermitian Splitting Methods for Non-Hermitian Positive Definite Linear Systems
• On structure preserving and circulant preconditioners for the space fractional coupled nonlinear Schrödinger equations
• An Algorithm for the Inversion of Finite Toeplitz Matrices

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