On the Rotating Nonlinear Klein--Gordon Equation: NonRelativistic Limit and Numerical Methods-Reference-Cited by-同舟云学术

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On the Rotating Nonlinear Klein--Gordon Equation: NonRelativistic Limit and Numerical Methods

Published:2020-01 Issue:2 Volume:18 Page:999-1024
ISSN:1540-3459
Container-title:Multiscale Modeling & Simulation
language:en
Short-container-title:Multiscale Model. Simul.

Author:

Mauser Norbert J.,Zhang Yong,Zhao Xiaofei

Funder

NSFC

Agence Nationale de la Recherche

Austrian Science Fund

Natural Science Foundation of Hubei Province

Vienna Science and Technology Fund

Publisher

Society for Industrial & Applied Mathematics (SIAM)

Subject

Computer Science Applications,General Physics and Astronomy,Ecological Modeling,Modeling and Simulation,General Chemistry

Link

https://epubs.siam.org/doi/pdf/10.1137/18M1233509

Reference58 articles.

1. Mathematical theory and numerical methods for Bose-Einstein condensation

2. A Uniformly Accurate Multiscale Time Integrator Pseudospectral Method for the Klein--Gordon Equation in the Nonrelativistic Limit Regime

3. Analysis and comparison of numerical methods for the Klein–Gordon equation in the nonrelativistic limit regime

4. Uniformly Accurate Multiscale Time Integrators for Highly Oscillatory Second Order Differential Equations

5. Dynamics of Rotating Bose--Einstein Condensates and its Efficient and Accurate Numerical Computation

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1. A time splitting Chebyshev-Fourier spectral method for the time-dependent rotating nonlocal Schrödinger equation in polar coordinates;Journal of Computational Physics;2024-02

2. Improved uniform error bounds on parareal exponential algorithm for highly oscillatory systems;BIT Numerical Mathematics;2024-01-31

3. Applications of the nonlinear Klein/Sinh-Gordon equations in modern physics: a numerical study;Mathematical Modelling and Control;2024

4. Uniformly accurate nested Picard iterative schemes for nonlinear Schrödinger equation with highly oscillatory potential;Applied Numerical Mathematics;2023-10

5. Note on rotating BEC under a confining potential;Partial Differential Equations in Applied Mathematics;2022-12

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