Error Analysis and Numerical Simulations of Strang Splitting Method for Space Fractional Nonlinear Schrödinger Equation
出版年份 2019 全文链接
标题
Error Analysis and Numerical Simulations of Strang Splitting Method for Space Fractional Nonlinear Schrödinger Equation
作者
关键词
Fractional nonlinear Schrödinger equation, Operator splitting method, Spectral method, Mass conservation, Error estimate, 70K75, 65M70, 65M12
出版物
JOURNAL OF SCIENTIFIC COMPUTING
Volume -, Issue -, Pages -
出版商
Springer Science and Business Media LLC
发表日期
2019-09-28
DOI
10.1007/s10915-019-01050-w
参考文献
相关参考文献
注意:仅列出部分参考文献,下载原文获取全部文献信息。- A high-order nodal discontinuous Galerkin method for nonlinear fractional Schrödinger type equations
- (2018) Tarek Aboelenen Communications in Nonlinear Science and Numerical Simulation
- On the numerical solution and dynamical laws of nonlinear fractional Schrödinger/Gross–Pitaevskii equations
- (2018) Xavier Antoine et al. INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS
- Numerical approximation of the conservative Allen-Cahn equation by operator splitting method
- (2017) Zhifeng Weng et al. MATHEMATICAL METHODS IN THE APPLIED SCIENCES
- Analysis and Approximation of a Fractional Cahn--Hilliard Equation
- (2017) Mark Ainsworth et al. SIAM JOURNAL ON NUMERICAL ANALYSIS
- Computing Fractional Laplacians on Complex-Geometry Domains: Algorithms and Simulations
- (2017) Fangying Song et al. SIAM JOURNAL ON SCIENTIFIC COMPUTING
- Fast explicit operator splitting method and time-step adaptivity for fractional non-local Allen–Cahn model
- (2016) Shuying Zhai et al. APPLIED MATHEMATICAL MODELLING
- A conservative difference scheme for solving the strongly coupled nonlinear fractional Schrödinger equations
- (2016) Maohua Ran et al. Communications in Nonlinear Science and Numerical Simulation
- Point-wise error estimate of a conservative difference scheme for the fractional Schrödinger equation
- (2016) Pengde Wang et al. JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS
- A new definition of fractional Laplacian with application to modeling three-dimensional nonlocal heat conduction
- (2016) Wen Chen et al. JOURNAL OF COMPUTATIONAL PHYSICS
- Fast and stable explicit operator splitting methods for phase-field models
- (2015) Yuanzhen Cheng et al. JOURNAL OF COMPUTATIONAL PHYSICS
- An energy conservative difference scheme for the nonlinear fractional Schrödinger equations
- (2015) Pengde Wang et al. JOURNAL OF COMPUTATIONAL PHYSICS
- Fractional Schrödinger equation in optics
- (2015) Stefano Longhi OPTICS LETTERS
- Fractional quantum mechanics in polariton condensates with velocity-dependent mass
- (2015) F. Pinsker et al. PHYSICAL REVIEW B
- Propagation Dynamics of a Light Beam in a Fractional Schrödinger Equation
- (2015) Yiqi Zhang et al. PHYSICAL REVIEW LETTERS
- A linearly implicit conservative difference scheme for the space fractional coupled nonlinear Schrödinger equations
- (2014) Dongling Wang et al. JOURNAL OF COMPUTATIONAL PHYSICS
- Convergence Analysis of Strang Splitting for Vlasov-Type Equations
- (2014) Lukas Einkemmer et al. SIAM JOURNAL ON NUMERICAL ANALYSIS
- A Fourth-order Compact ADI scheme for Two-Dimensional Nonlinear Space Fractional Schrödinger Equation
- (2014) Xuan Zhao et al. SIAM JOURNAL ON SCIENTIFIC COMPUTING
- Computational methods for the dynamics of the nonlinear Schrödinger/Gross–Pitaevskii equations
- (2013) Xavier Antoine et al. COMPUTER PHYSICS COMMUNICATIONS
- Crank–Nicolson difference scheme for the coupled nonlinear Schrödinger equations with the Riesz space fractional derivative
- (2013) Dongling Wang et al. JOURNAL OF COMPUTATIONAL PHYSICS
- Fourth-order compact and energy conservative difference schemes for the nonlinear Schrödinger equation in two dimensions
- (2013) Tingchun Wang et al. JOURNAL OF COMPUTATIONAL PHYSICS
- Mathematical theory and numerical methods for Bose-Einstein condensation
- (2012) Weizhu Bao et al. Kinetic and Related Models
- Positive solutions of the nonlinear Schrödinger equation with the fractional Laplacian
- (2012) Patricio Felmer et al. PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS
- Convergence Analysis of High-Order Time-Splitting Pseudospectral Methods for Nonlinear Schrödinger Equations
- (2012) Mechthild Thalhammer SIAM JOURNAL ON NUMERICAL ANALYSIS
- The global solution for a class of systems of fractional nonlinear Schrödinger equations with periodic boundary condition
- (2011) Jiaqian Hu et al. COMPUTERS & MATHEMATICS WITH APPLICATIONS
- Numerical methods for computing ground states and dynamics of nonlinear relativistic Hartree equation for boson stars
- (2011) Weizhu Bao et al. JOURNAL OF COMPUTATIONAL PHYSICS
- Novel Numerical Methods for Solving the Time-Space Fractional Diffusion Equation in Two Dimensions
- (2011) Qianqian Yang et al. SIAM JOURNAL ON SCIENTIFIC COMPUTING
- High-order compact ADI (HOC-ADI) method for solving unsteady 2D Schrödinger equation
- (2010) Zhen F. Tian et al. COMPUTER PHYSICS COMMUNICATIONS
- On splitting methods for Schrödinger-Poisson and cubic nonlinear Schrödinger equations
- (2008) Christian Lubich MATHEMATICS OF COMPUTATION
Find the ideal target journal for your manuscript
Explore over 38,000 international journals covering a vast array of academic fields.
SearchCreate your own webinar
Interested in hosting your own webinar? Check the schedule and propose your idea to the Peeref Content Team.
Create Now