Improved uniform error bounds for long-time dynamics of the high-dimensional nonlinear space fractional sine-Gordon equation with weak nonlinearity
Fuente:
arXiv
Saved in:
| Main Authors: | Jia, Junqing, Chi, Xiaoqing, Jiang, Xiaoyun |
|---|---|
| Format: | Preprint |
| Published: |
2024
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
Similar Items
Optimal error bounds on an exponential wave integrator Fourier spectral method for fractional nonlinear Schrödinger equations with low regularity potential and nonlinearity
by: Jia, Junqing, et al.
Published: (2024)
by: Jia, Junqing, et al.
Published: (2024)
Low regularity error estimates for high dimensional nonlinear Schrödinger equations
by: Ji, Lun, et al.
Published: (2023)
by: Ji, Lun, et al.
Published: (2023)
Optimal error bounds on the exponential wave integrator for the nonlinear Schrödinger equation with low regularity potential and nonlinearity
by: Bao, Weizhu, et al.
Published: (2023)
by: Bao, Weizhu, et al.
Published: (2023)
Optimal error bounds on time-splitting methods for the nonlinear Schrödinger equation with low regularity potential and nonlinearity
by: Bao, Weizhu, et al.
Published: (2023)
by: Bao, Weizhu, et al.
Published: (2023)
Optimal error bounds on the exponential wave integrator for nonlinear Schrödinger equations with highly singular potential
by: Bao, Weizhu, et al.
Published: (2026)
by: Bao, Weizhu, et al.
Published: (2026)
Low regularity full error estimates for the cubic nonlinear Schrödinger equation
by: Ji, Lun, et al.
Published: (2023)
by: Ji, Lun, et al.
Published: (2023)
Explicit symmetric low-regularity integrators for the nonlinear Schrödinger equation
by: Feng, Yue, et al.
Published: (2024)
by: Feng, Yue, et al.
Published: (2024)
Optimal error bounds on the exponential integrator for dispersive equations with highly concentrated potential
by: Bal, Guillaume, et al.
Published: (2026)
by: Bal, Guillaume, et al.
Published: (2026)
Computing rough solutions of the stochastic nonlinear wave equation
by: Cao, Jiachuan, et al.
Published: (2024)
by: Cao, Jiachuan, et al.
Published: (2024)
Computing nonlinear Schrödinger equations with Hermite functions beyond harmonic traps
by: Banica, Valeria, et al.
Published: (2025)
by: Banica, Valeria, et al.
Published: (2025)
Error estimates of the time-splitting methods for the nonlinear Schrödinger equation with semi-smooth nonlinearity
by: Bao, Weizhu, et al.
Published: (2023)
by: Bao, Weizhu, et al.
Published: (2023)
An explicit and symmetric exponential wave integrator for the nonlinear Schrödinger equation with low regularity potential and nonlinearity
by: Bao, Weizhu, et al.
Published: (2023)
by: Bao, Weizhu, et al.
Published: (2023)
Time-relaxation structure-preserving explicit low-regularity integrators for the nonlinear Schrödinger equation
by: Li, Hang, et al.
Published: (2025)
by: Li, Hang, et al.
Published: (2025)
Semi-implicit-explicit Runge-Kutta method for nonlinear differential equations
by: Ding, Lingyun
Published: (2025)
by: Ding, Lingyun
Published: (2025)
The cubic nonlinear Schrödinger equation with rough potential
by: Mauser, Norbert J., et al.
Published: (2024)
by: Mauser, Norbert J., et al.
Published: (2024)
Optimal error bounds on an exponential wave integrator Fourier spectral method for the logarithmic Schrödinger equation
by: Bao, Weizhu, et al.
Published: (2024)
by: Bao, Weizhu, et al.
Published: (2024)
Improved error estimates for low-regularity integrators using space-time bounds
by: Ruff, Maximilian
Published: (2025)
by: Ruff, Maximilian
Published: (2025)
Structure-preserving Local Discontinuous Galerkin method for nonlinear cross-diffusion systems
by: Gómez, Sergio, et al.
Published: (2024)
by: Gómez, Sergio, et al.
Published: (2024)
High-order time splitting methods for the nonlinear Gross-Pitaevskii equation
by: Ben, Roberto, et al.
Published: (2026)
by: Ben, Roberto, et al.
Published: (2026)
Low regularity error estimates for the time integration of 2D NLS
by: Ji, Lun, et al.
Published: (2023)
by: Ji, Lun, et al.
Published: (2023)
Fourth-order uniformly accurate integrators with long time near conservations for the nonlinear Dirac equation in the nonrelativistic regime
by: Wang, Lina, et al.
Published: (2025)
by: Wang, Lina, et al.
Published: (2025)
Error estimates of time-splitting schemes for nonlinear Klein--Gordon equation with rough data
by: Ji, Lun, et al.
Published: (2025)
by: Ji, Lun, et al.
Published: (2025)
Ground states and droplet regimes of the extended Gross-Pitaevskii equation with Lee-Huang-Yang correction
by: Huang, Weijie, et al.
Published: (2026)
by: Huang, Weijie, et al.
Published: (2026)
A structure-preserving relaxation Crank-Nicolson finite element method for the Schrödinger-Poisson equation
by: Liu, Huini, et al.
Published: (2024)
by: Liu, Huini, et al.
Published: (2024)
Error estimates of an exponential wave integrator for the nonlinear Schrödinger equation with singular potential
by: Bao, Weizhu, et al.
Published: (2025)
by: Bao, Weizhu, et al.
Published: (2025)
Filtered Lie-Trotter splitting for the "good" Boussinesq equation: low regularity error estimates
by: Ji, Lun, et al.
Published: (2024)
by: Ji, Lun, et al.
Published: (2024)
Time splitting method for nonlinear Schrödinger equation with rough initial data in $L^2$
by: Choi, Hyung Jun, et al.
Published: (2023)
by: Choi, Hyung Jun, et al.
Published: (2023)
An extended Fourier pseudospectral method for the Gross-Pitaevskii equation with low regularity potential
by: Bao, Weizhu, et al.
Published: (2023)
by: Bao, Weizhu, et al.
Published: (2023)
Low regularity estimates of the Lie-Totter time-splitting Fourier spectral method for the logarithmic Schrödinger equation
by: Zhang, Xiaolong, et al.
Published: (2024)
by: Zhang, Xiaolong, et al.
Published: (2024)
Strang splitting structure-preserving high-order compact difference schemes for nonlinear convection diffusion equations
by: Kuang, Baolin, et al.
Published: (2024)
by: Kuang, Baolin, et al.
Published: (2024)
A fully decoupled and structure-preserving relaxation Crank--Nicolson finite element method for Gross--Pitaevskii--Poisson model
by: Li, Dongqian, et al.
Published: (2026)
by: Li, Dongqian, et al.
Published: (2026)
A Lawson-time-splitting extended Fourier pseudospectral method for the Gross-Pitaevskii equation with time-dependent low regularity potential
by: Lin, Bo, et al.
Published: (2024)
by: Lin, Bo, et al.
Published: (2024)
Optimal error estimates of the penalty finite element method for the unsteady Navier-Stokes equations with nonsmooth initial data
by: Bir, Bikram, et al.
Published: (2022)
by: Bir, Bikram, et al.
Published: (2022)
On the convergence of explicit formulas for $L^2$ solutions to the Benjamin-Ono and continuum Calogero-Moser equations
by: Bronsard, Yvonne Alama, et al.
Published: (2026)
by: Bronsard, Yvonne Alama, et al.
Published: (2026)
A space-time hybrid parareal method for kinetic equations in the diffusive scaling
by: Laidin, Tino
Published: (2025)
by: Laidin, Tino
Published: (2025)
A Higher-order Hybridisable Discontinuous Galerkin IMEX method for the incompressible Euler equations
by: Müller, Eike Hermann
Published: (2024)
by: Müller, Eike Hermann
Published: (2024)
Nonlinear PDEs with modulated dispersion IV: normal form approach and unconditional uniqueness
by: Gubinelli, Massimiliano, et al.
Published: (2025)
by: Gubinelli, Massimiliano, et al.
Published: (2025)
Semi-discrete finite element approximation applied to Maxwell's equations in nonlinear media
by: Angermann, Lutz
Published: (2019)
by: Angermann, Lutz
Published: (2019)
A low regularity exponential-type integrator for the derivative nonlinear Schrödinger equation
by: Ji, Lun, et al.
Published: (2026)
by: Ji, Lun, et al.
Published: (2026)
A two level approach for simulating Bose-Einstein condensates by localized orthogonal decomposition
by: Döding, Christian, et al.
Published: (2022)
by: Döding, Christian, et al.
Published: (2022)
Similar Items
-
Optimal error bounds on an exponential wave integrator Fourier spectral method for fractional nonlinear Schrödinger equations with low regularity potential and nonlinearity
by: Jia, Junqing, et al.
Published: (2024) -
Low regularity error estimates for high dimensional nonlinear Schrödinger equations
by: Ji, Lun, et al.
Published: (2023) -
Optimal error bounds on the exponential wave integrator for the nonlinear Schrödinger equation with low regularity potential and nonlinearity
by: Bao, Weizhu, et al.
Published: (2023) -
Optimal error bounds on time-splitting methods for the nonlinear Schrödinger equation with low regularity potential and nonlinearity
by: Bao, Weizhu, et al.
Published: (2023) -
Optimal error bounds on the exponential wave integrator for nonlinear Schrödinger equations with highly singular potential
by: Bao, Weizhu, et al.
Published: (2026)