A sixth-order compact time-splitting Fourier pseudospectral method
Fuente:
arXiv
Enregistré dans:
| Auteurs principaux: | Gao, Weiguo, He, Zhansi, Yin, Jia |
|---|---|
| Format: | Preprint |
| Publié: |
2026
|
| Sujets: | |
| Accès en ligne: | |
| Tags: |
Ajouter un tag
Pas de tags, Soyez le premier à ajouter un tag!
|
Documents similaires
Error estimates of a regularized finite difference method for the Logarithmic Schrödinger equation with Dirac delta potential
par: Zhou, Xuanxuan, et autres
Publié: (2024)
par: Zhou, Xuanxuan, et autres
Publié: (2024)
Fourth-order uniformly accurate integrators with long time near conservations for the nonlinear Dirac equation in the nonrelativistic regime
par: Wang, Lina, et autres
Publié: (2025)
par: Wang, Lina, et autres
Publié: (2025)
A Lawson-time-splitting extended Fourier pseudospectral method for the Gross-Pitaevskii equation with time-dependent low regularity potential
par: Lin, Bo, et autres
Publié: (2024)
par: Lin, Bo, et autres
Publié: (2024)
Convergence of a moving window method for the Schrödinger equation with potential on $\mathbb{R}^d$
par: Iserles, Arieh, et autres
Publié: (2024)
par: Iserles, Arieh, et autres
Publié: (2024)
An extended Fourier pseudospectral method for the Gross-Pitaevskii equation with low regularity potential
par: Bao, Weizhu, et autres
Publié: (2023)
par: Bao, Weizhu, et autres
Publié: (2023)
Explicit symmetric low-regularity integrators for the nonlinear Schrödinger equation
par: Feng, Yue, et autres
Publié: (2024)
par: Feng, Yue, et autres
Publié: (2024)
High-order time splitting methods for the nonlinear Gross-Pitaevskii equation
par: Ben, Roberto, et autres
Publié: (2026)
par: Ben, Roberto, et autres
Publié: (2026)
Low regularity estimates of the Lie-Totter time-splitting Fourier spectral method for the logarithmic Schrödinger equation
par: Zhang, Xiaolong, et autres
Publié: (2024)
par: Zhang, Xiaolong, et autres
Publié: (2024)
A novel mixed spectral method with ball polynomials for the Biharmonic equation on a unit ball
par: Gao, Mengxue, et autres
Publié: (2026)
par: Gao, Mengxue, et autres
Publié: (2026)
Filtered Lie-Trotter splitting for the "good" Boussinesq equation: low regularity error estimates
par: Ji, Lun, et autres
Publié: (2024)
par: Ji, Lun, et autres
Publié: (2024)
Error estimates of the time-splitting methods for the nonlinear Schrödinger equation with semi-smooth nonlinearity
par: Bao, Weizhu, et autres
Publié: (2023)
par: Bao, Weizhu, et autres
Publié: (2023)
Optimal error bounds on an exponential wave integrator Fourier spectral method for fractional nonlinear Schrödinger equations with low regularity potential and nonlinearity
par: Jia, Junqing, et autres
Publié: (2024)
par: Jia, Junqing, et autres
Publié: (2024)
Optimal error bounds on time-splitting methods for the nonlinear Schrödinger equation with low regularity potential and nonlinearity
par: Bao, Weizhu, et autres
Publié: (2023)
par: Bao, Weizhu, et autres
Publié: (2023)
Optimal error bounds on an exponential wave integrator Fourier spectral method for the logarithmic Schrödinger equation
par: Bao, Weizhu, et autres
Publié: (2024)
par: Bao, Weizhu, et autres
Publié: (2024)
Asymptotic-preserving and positivity-preserving discontinuous Galerkin method for the semiconductor Boltzmann equation in the diffusive scaling
par: Ding, Huan, et autres
Publié: (2025)
par: Ding, Huan, et autres
Publié: (2025)
Error estimates of time-splitting schemes for nonlinear Klein--Gordon equation with rough data
par: Ji, Lun, et autres
Publié: (2025)
par: Ji, Lun, et autres
Publié: (2025)
Physics-Informed Neural Networks: Bridging the Divide Between Conservative and Non-Conservative Equations
par: Neelan, Arun Govind, et autres
Publié: (2025)
par: Neelan, Arun Govind, et autres
Publié: (2025)
Robust and conservative dynamical low-rank methods for the Vlasov equation via a novel macro-micro decomposition
par: Coughlin, Jack, et autres
Publié: (2023)
par: Coughlin, Jack, et autres
Publié: (2023)
Energy Stable and Structure-Preserving Algorithms for the Stochastic Galerkin System of 2D Shallow Water Equations
par: Epshteyn, Yekaterina, et autres
Publié: (2024)
par: Epshteyn, Yekaterina, et autres
Publié: (2024)
A Numerov-Crank-Nicolson-Strang scheme with discrete transparent boundary conditions for the Schrödinger equation on a semi-infinite strip
par: Zlotnik, Alexander, et autres
Publié: (2013)
par: Zlotnik, Alexander, et autres
Publié: (2013)
Bridging the gap: symplecticity and low regularity in Runge-Kutta resonance-based schemes
par: Maierhofer, Georg, et autres
Publié: (2022)
par: Maierhofer, Georg, et autres
Publié: (2022)
Computing nonlinear Schrödinger equations with Hermite functions beyond harmonic traps
par: Banica, Valeria, et autres
Publié: (2025)
par: Banica, Valeria, et autres
Publié: (2025)
A Lagrangian approach for solving an axisymmetric thermo-electromagnetic problem. Application to time-varying geometry processes
par: Benítez, Marta, et autres
Publié: (2024)
par: Benítez, Marta, et autres
Publié: (2024)
A preconditioned boundary value method for advection-diffusion equations with half Laplacian via spectrum doubling
par: Yuan, Pu, et autres
Publié: (2025)
par: Yuan, Pu, et autres
Publié: (2025)
The Divergence-Free Radiant Transform
par: Mullaghy, Zachary
Publié: (2025)
par: Mullaghy, Zachary
Publié: (2025)
Higher-Order Generalized Finite Differences for Variable Coefficient Diffusion Operators
par: Kraus, Heinrich, et autres
Publié: (2023)
par: Kraus, Heinrich, et autres
Publié: (2023)
A fast Fourier spectral method for the linearized Boltzmann collision operator
par: Yin, Tianai, et autres
Publié: (2025)
par: Yin, Tianai, et autres
Publié: (2025)
Optimal error bounds on the exponential integrator for dispersive equations with highly concentrated potential
par: Bal, Guillaume, et autres
Publié: (2026)
par: Bal, Guillaume, et autres
Publié: (2026)
A sparse $hp$-finite element method for piecewise-smooth differential equations with periodic boundary conditions
par: VandenHeuvel, Daniel, et autres
Publié: (2025)
par: VandenHeuvel, Daniel, et autres
Publié: (2025)
Shape optimization of optical microscale inclusions
par: Bezbaruah, Manaswinee, et autres
Publié: (2023)
par: Bezbaruah, Manaswinee, et autres
Publié: (2023)
Solving the BGK Model and Boltzmann equation by Fourier Neural Operator with conservative constraints
par: Hu, Boyun, et autres
Publié: (2025)
par: Hu, Boyun, et autres
Publié: (2025)
$\mathrm{L}^{2}$--convergence of the time-splitting scheme for nonlinear Dirac equation in 1+1 dimensions
par: Li, Ningning, et autres
Publié: (2026)
par: Li, Ningning, et autres
Publié: (2026)
A matrix-based spectral method for the numerical approximation of the fractional Laplacian and the fractional $p$-Laplacian of functions defined on $\mathbb R^n$
par: Constantin, Loïc, et autres
Publié: (2026)
par: Constantin, Loïc, et autres
Publié: (2026)
Computing rough solutions of the KdV equation below ${\bf L^2}$
par: Cao, Jiachuan, et autres
Publié: (2025)
par: Cao, Jiachuan, et autres
Publié: (2025)
An Adaptive Angular Domain Compression Scheme For Solving Multiscale Radiative Transfer Equation
par: Song, Qinchen, et autres
Publié: (2024)
par: Song, Qinchen, et autres
Publié: (2024)
A Bound Preserving Energy Stable Scheme for a Nonlocal Cahn-Hilliard Equation
par: Lyons, Rainey, et autres
Publié: (2024)
par: Lyons, Rainey, et autres
Publié: (2024)
Graph-based methods for hyperbolic systems of conservation laws using discontinuous space discretizations
par: Kronbichler, Martin, et autres
Publié: (2024)
par: Kronbichler, Martin, et autres
Publié: (2024)
Optimal error bounds on the exponential wave integrator for the nonlinear Schrödinger equation with low regularity potential and nonlinearity
par: Bao, Weizhu, et autres
Publié: (2023)
par: Bao, Weizhu, et autres
Publié: (2023)
An explicit and symmetric exponential wave integrator for the nonlinear Schrödinger equation with low regularity potential and nonlinearity
par: Bao, Weizhu, et autres
Publié: (2023)
par: Bao, Weizhu, et autres
Publié: (2023)
The high-order Hermite discrete correction function method for surface-driven electromagnetic problems
par: Law, Yann-Meing
Publié: (2025)
par: Law, Yann-Meing
Publié: (2025)
Documents similaires
-
Error estimates of a regularized finite difference method for the Logarithmic Schrödinger equation with Dirac delta potential
par: Zhou, Xuanxuan, et autres
Publié: (2024) -
Fourth-order uniformly accurate integrators with long time near conservations for the nonlinear Dirac equation in the nonrelativistic regime
par: Wang, Lina, et autres
Publié: (2025) -
A Lawson-time-splitting extended Fourier pseudospectral method for the Gross-Pitaevskii equation with time-dependent low regularity potential
par: Lin, Bo, et autres
Publié: (2024) -
Convergence of a moving window method for the Schrödinger equation with potential on $\mathbb{R}^d$
par: Iserles, Arieh, et autres
Publié: (2024) -
An extended Fourier pseudospectral method for the Gross-Pitaevskii equation with low regularity potential
par: Bao, Weizhu, et autres
Publié: (2023)