:: Library Catalog

Cover Image

Saved in:

Bibliographic Details
Main Authors:	Arnold, Anton, Klein, Christian, Körner, Jannis, Melenk, Jens Markus
Format:	Preprint
Published:	2024
Subjects:	Numerical Analysis 34E20, 81Q20, 65L11, 65M70
Online Access:	https://arxiv.org/abs/2401.10141
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

WKB-based third order method for the highly oscillatory 1D stationary Schrödinger equation
by: Arnold, Anton, et al.
Published: (2024)

Optimally truncated WKB approximation for the highly oscillatory stationary 1D Schrödinger equation
by: Körner, Jannis, 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)

Optimal error bounds on an exponential wave integrator Fourier spectral method for the logarithmic Schrödinger equation
by: Bao, Weizhu, et al.
Published: (2024)

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)

A uniformly accurate multiscale time integrator for the nonlinear Klein-Gordon equation in the nonrelativistic regime via simplified transmission conditions
by: Bao, Weizhu, et al.
Published: (2026)

Error estimates of the time-splitting methods for the nonlinear Schrödinger equation with semi-smooth nonlinearity
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)

Low regularity estimates of the Lie-Totter time-splitting Fourier spectral method for the logarithmic Schrödinger equation
by: Zhang, Xiaolong, et al.
Published: (2024)

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)

Asymptotic-preserving and positivity-preserving discontinuous Galerkin method for the semiconductor Boltzmann equation in the diffusive scaling
by: Ding, Huan, et al.
Published: (2025)

A spectral collocation method for functional and delay differential equations
by: Hale, Nicholas
Published: (2024)

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)

Weak formulation and spectral approximation of a Fokker-Planck equation for neural ensembles
by: Yan, Ling, et al.
Published: (2024)

An extended Fourier pseudospectral method for the Gross-Pitaevskii equation with low regularity potential
by: Bao, Weizhu, et al.
Published: (2023)

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)

Error estimates of time-splitting schemes for nonlinear Klein--Gordon equation with rough data
by: Ji, Lun, et al.
Published: (2025)

Covariant Guiding Laws for Fields
by: Derakhshani, Maaneli, et al.
Published: (2021)

High-order Lohner-type algorithm for rigorous computation of Poincaré maps in systems of Delay Differential Equations with several delays
by: Szczelina, Robert, et al.
Published: (2022)

A Simple GPU-Accelerated Solver for the Schrödinger Operator with Applications to Ground States and Hamiltonian Simulation
by: Liu, Xinyu, et al.
Published: (2026)

Sparse Identification of Nonlinear Distributed-Delay Dynamics via the Linear Chain Trick
by: Alanazi, Mohammed, et al.
Published: (2026)

Spectra of evolution operators of a class of neutral renewal equations: theoretical and numerical aspects
by: Breda, Dimitri, et al.
Published: (2023)

Solving the BGK Model and Boltzmann equation by Fourier Neural Operator with conservative constraints
by: Hu, Boyun, et al.
Published: (2025)

On the Convergence of Time Splitting Methods for Quantum Dynamics in the Semiclassical Regime
by: Golse, François, et al.
Published: (2019)

Explicit relaxation Particle-in-Cell methods for Vlasov-Poisson equations with a strong magnetic field
by: Wang, Lina, et al.
Published: (2026)

Conserving mass, momentum, and energy for the Benjamin-Bona-Mahony, Korteweg-de Vries, and nonlinear Schrödinger equations
by: Ranocha, Hendrik, et al.
Published: (2025)

Full spacetime inversion generated by electromagnetic Abelian gauge transformations
by: Garat, Alcides
Published: (2026)

Second-order robust parallel integrators for dynamical low-rank approximation
by: Kusch, Jonas
Published: (2024)

High-order mass- and energy-conserving methods for the nonlinear Schrödinger equation and its hyperbolization
by: Ranocha, Hendrik, et al.
Published: (2025)

Rounding error using low precision approximate random variables
by: Sheridan-Methven, Oliver, et al.
Published: (2020)

On the robustness of high-order upwind summation-by-parts methods for nonlinear conservation laws
by: Ranocha, Hendrik, et al.
Published: (2023)

Parsimonious convolution quadrature
by: Melenk, Jens M., et al.
Published: (2024)

Convergence of the Fourier-Galerkin spectral method for the Boltzmann equation with uncertainties
by: Liu, Liu, et al.
Published: (2022)

Spectral convergence of a semi-discretized numerical system for the spatially homogeneous Boltzmann equation with uncertainties
by: Liu, Liu, et al.
Published: (2024)

Analysis and implementation of collocation methods for fractional differential equations
by: Brugnano, Luigi, et al.
Published: (2025)

A Unifying Theory for Runge-Kutta-like Time Integrators: Convergence and Stability
by: Izgin, Thomas
Published: (2024)

Explicit symmetric low-regularity integrators for the nonlinear Schrödinger equation
by: Feng, Yue, et al.
Published: (2024)

Computing nonlinear Schrödinger equations with Hermite functions beyond harmonic traps
by: Banica, Valeria, et al.
Published: (2025)

Recent advances about the rigorous integration of parabolic PDEs via fully spectral Fourier-Chebyshev expansions
by: Cadiot, Matthieu, et al.
Published: (2025)