Imagen de Portada

An efficient spectral method for the fractional Schrödinger equation on the real line

Fuente: arXiv

Guardado en:

Detalles Bibliográficos
Autores principales:	Shen, Mengxia, Wang, Haiyong
Formato:	Preprint
Publicado:	2022
Materias:	Numerical Analysis
Acceso en línea:	Acceder al recurso
Etiquetas:	Agregar Etiqueta Sin Etiquetas, Sea el primero en etiquetar este registro!

Ejemplares similares

A note on spectral Monte-Carlo method for fractional Poisson equation on high-dimensional ball
por: Ding, Lisen, et al.
Publicado: (2025)

A sparse spectral method for fractional differential equations in one-spatial dimension
por: Papadopoulos, Ioannis P. A., et al.
Publicado: (2022)

Frozen Gaussian approximation for the fractional Schrödinger equation
por: Chai, Lihui, et al.
Publicado: (2024)

On the deterioration of convergence rate of spectral differentiations for functions with singularities
por: Wang, Haiyong
Publicado: (2025)

An adaptive Hermite spectral method for the Boltzmann equation
por: Shao, Sihong, et al.
Publicado: (2025)

The stochastic fractional nonlinear Schrödinger equations in $H^α$ and structure-preserving algorithm
por: Zhang, Ao, et al.
Publicado: (2024)

An efficient spectral method for the dynamic behavior of truss structures
por: Fancher, Sean, et al.
Publicado: (2023)

Simultaneously reconstructing potentials and internal sources for fractional Schrödinger equations
por: Li, Xinyan
Publicado: (2024)

Diagonal and normal with Toeplitz-block splitting iteration method for space fractional coupled nonlinear Schrödinger equations with repulsive nonlinearities
por: Zhang, Fei-Yan, et al.
Publicado: (2023)

An efffcient numerical scheme for two-dimensional nonlinear time fractional Schrödinger equation
por: Ma, Jun, et al.
Publicado: (2025)

Filtered finite difference methods for nonlinear Schrödinger equations in semiclassical scaling
por: Shi, Yanyan, et al.
Publicado: (2024)

A space-time DG method for the Schrödinger equation with variable potential
por: Gómez, Sergio, et al.
Publicado: (2023)

A novel and simple spectral method for nonlocal PDEs with the fractional Laplacian
por: Zhou, Shiping, et al.
Publicado: (2023)

Convergence analysis of time-splitting projection method for nonlinear quasiperiodic Schrödinger equation
por: Jiang, Kai, et al.
Publicado: (2024)

Convergence analysis of Laguerre approximations for analytic functions
por: Wang, Haiyong
Publicado: (2023)

A numerical method for the fractional Zakharov-Kuznetsov equation
por: Dwivedi, Mukul, et al.
Publicado: (2025)

Sine-transform-based fast solvers for Riesz fractional nonlinear Schrödinger equations with attractive nonlinearities
por: Chen, Chao, et al.
Publicado: (2024)

Variable-order fractional Laplacian and its accurate and efficient computations with meshfree methods
por: Wu, Yixuan, et al.
Publicado: (2024)

Time-fractional diffusion equations with randomness, and efficient numerical estimations of expected values
por: Dick, Josef, et al.
Publicado: (2024)

Gaussian quadrature rules for composite highly oscillatory integrals
por: Wu, Menghan, et al.
Publicado: (2021)

Schwartz duality for singularly perturbed nonlinear differential equations with Chebyshev spectral method
por: Heo, Eunwoo, et al.
Publicado: (2025)

Efficiently and accurately simulating multi-dimensional M-coupled nonlinear Schrödinger equations with fourth-order time integrators and Fourier spectral method
por: Lovett, Nate, et al.
Publicado: (2024)

Superconvergence points of Hermite spectral interpolation
por: Wang, Haiyong, et al.
Publicado: (2025)

An explicit unconditionally stable numerical method for solving damped nonlinear Schrödinger equations with a focusing nonlinearity
por: Bao, Weizhu, et al.
Publicado: (2003)

Fourier pseudospectral methods for the spatial variable-order fractional wave equations
por: Zhang, Yanzhi, et al.
Publicado: (2023)

A Fourier spectral method for the cutoff Boltzmann equation: Convergence analysis and numerical simulation
por: Gui, Yanzhi, et al.
Publicado: (2026)

Numerical analysis and efficient implementation of fast collocation methods for fractional Laplacian model on nonuniform grids
por: Kong, Meijie, et al.
Publicado: (2025)

An efficient asymptotic preserving Monte Carlo method for frequency-dependent radiative transfer equations
por: Hong, Yiyang, et al.
Publicado: (2025)

Robust and efficient solvers for nonlinear partial differential equations based on random feature method
por: Tan, Longze
Publicado: (2025)

High-order and Mass-conservative Regularized Implicit-explicit relaxation Runge-Kutta methods for the logarithmic Schrödinger equation
por: Yan, Jingye, et al.
Publicado: (2024)

Solving time-fractional diffusion equations with Robin boundary conditions via fractional Hamiltonian boundary value methods
por: Luo, Qian, et al.
Publicado: (2025)

LDG method for solving spatial and temporal fractional nonlinear convection-diffusion equations
por: Rajabzadeh, Majid, et al.
Publicado: (2026)

The positivity-preserving high-order semi-Lagrangian spectral volume method for Vlasov-Poisson equations
por: Zhang, Xinyue, et al.
Publicado: (2025)

A Müntz-collocation spectral method for weakly singular Volterra delay-integro-differential equations
por: Zhao, Borui
Publicado: (2024)

Solving the unique continuation problem for Schrödinger equations with low regularity solutions using a stabilized finite element method
por: Burman, Erik, et al.
Publicado: (2024)

Convergence analysis of dynamically regularized Lagrange multiplier pressure correction method for the incompressible Navier-Stokes equations
por: Shen, Yi, et al.
Publicado: (2026)

Spectral Galerkin method for the zero dispersion limit of the fractional Korteweg-de Vries equation
por: Dwivedi, Mukul, et al.
Publicado: (2024)

Asymptotic gauge-invariant Hybrid High-Order method for magnetic Schrödinger equations
por: Aghili, Joubine
Publicado: (2026)

A Fractional spectral method for weakly singular Volterra integro-differential equations with delays of the third-kind
por: Zhao, Borui
Publicado: (2024)

Efficient numerical method for multi-term time-fractional diffusion equations with Caputo-Fabrizio derivatives
por: Fan, Bin
Publicado: (2023)