On the Rotating Nonlinear Klein--Gordon Equation: NonRelativistic Limit and Numerical Methods
From MaRDI portal
Publication:5117151
DOI10.1137/18M1233509zbMath1446.65074MaRDI QIDQ5117151
Norbert J. Mauser, Xiaofei Zhao, Yong Zhang
Publication date: 20 August 2020
Published in: Multiscale Modeling & Simulation (Search for Journal in Brave)
numerical methodscosmological modelsnonrelativistic limitquantized vortexrotating nonlinear Klein-Gordon equationrotating two-component BEC
Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) NLS equations (nonlinear Schrödinger equations) (35Q55) PDEs in connection with quantum mechanics (35Q40) Statistical mechanics of superfluids (82D50) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Astrophysical cosmology (85A40) Applications to the sciences (65Z99)
Related Items
Pseudospectral methods with PML for nonlinear Klein-Gordon equations in classical and non-relativistic regimes ⋮ Uniformly accurate nested Picard iterative schemes for nonlinear Schrödinger equation with highly oscillatory potential ⋮ A time splitting Chebyshev-Fourier spectral method for the time-dependent rotating nonlocal Schrödinger equation in polar coordinates ⋮ Improved uniform error bounds on parareal exponential algorithm for highly oscillatory systems
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- An efficient spectral method for computing dynamics of rotating two-component Bose-Einstein condensates via coordinate transformation
- Comparing seven spectral methods for interpolation and for solving the Poisson equation in a disk: Zernike polynomials, Logan-Shepp ridge polynomials, Chebyshev-Fourier series, cylindrical Robert functions, Bessel-Fourier expansions, square-to-disk conformal mapping and radial basis functions
- Analysis and comparison of numerical methods for the Klein-Gordon equation in the nonrelativistic limit regime
- Stationary scalar clouds around a BTZ black hole
- Multi-revolution composition methods for highly oscillatory differential equations
- Quantized vortex stability and interaction in the nonlinear wave equation
- Normal-mode analysis for scalar fields in BTZ black-hole background
- Nonrelativistic limit in the energy space for nonlinear Klein-Gordon equations
- Scalar field conformally coupled to a charged BTZ black hole
- A robust and efficient numerical method to compute the dynamics of the rotating two-component dipolar Bose-Einstein condensates
- From nonlinear Klein-Gordon equation to a system of coupled nonlinear Schrödinger equations
- Mathematical theory and numerical methods for Bose-Einstein condensation
- Numerical methods for the two-dimensional Vlasov-Poisson equation in the finite Larmor radius approximation regime
- Comparison of numerical methods for the nonlinear Klein-Gordon equation in the nonrelativistic limit regime
- A new approach for numerical simulation of the time-dependent Ginzburg-Landau equations
- Dynamics of rotating two-component Bose-Einstein condensates and its efficient computation
- Asymptotic preserving schemes for the Klein-Gordon equation in the non-relativistic limit regime
- Uniformly accurate numerical schemes for highly oscillatory Klein-Gordon and nonlinear Schrödinger equations
- Ground, symmetric and central vortex states in rotating Bose-Einstein condensates
- Semi-relativistic approximations of the Dirac equation: First and second order corrections
- The Klein–Gordon equation of a rotating charged hairy black hole in (2 + 1) dimensions
- Exponential integrators
- Spectral Methods
- A Generalized-Laguerre–Fourier–Hermite Pseudospectral Method for Computing the Dynamics of Rotating Bose–Einstein Condensates
- The nonrelativistic limit of the nonlinear Klein-Gordon equation
- Convergence of the Dirac–Maxwell System to the Vlasov–Poisson System
- Nonrelativistic limit of Klein-Gordon-Maxwell to Schrodinger-Poisson
- Spectral Methods in MATLAB
- Convergence of multi-revolution composition time-splitting methods for highly oscillatory differential equations of Schrödinger type
- Uniformly accurate exponential-type integrators for Klein-Gordon equations with asymptotic convergence to the classical NLS splitting
- A fast spectral/difference method without pole conditions for Poisson-type equations in cylindrical and spherical geometries
- Nonexistence of global solutions of the initial-boundary value problem for the nonlinear Klein–Gordon equation
- SCALAR FIELD COSMOLOGY II: SUPERFLUIDITY, QUANTUM TURBULENCE, AND INFLATION
- A Uniformly Accurate Multiscale Time Integrator Pseudospectral Method for the Klein--Gordon Equation in the Nonrelativistic Limit Regime
- Numerical Study of Quantized Vortex Interactions in the Nonlinear Schrödinger Equation on Bounded Domains
- VORTICES IN MULTICOMPONENT BOSE–EINSTEIN CONDENSATES
- Fourth-Order Time-Stepping for Stiff PDEs
- Numerical Study of Quantized Vortex Interaction in the Ginzburg-Landau Equation on Bounded Domains
- On Time-Splitting Pseudospectral Discretization for Nonlinear Klein-Gordon Equation in Nonrelativistic Limit Regime
- Exact Artificial Boundary Condition for the Poisson Equation in the Simulation of the 2D Schrödinger-Poisson System
- Symmetric high order Gautschi-type exponential wave integrators pseudospectral method for the nonlinear Klein-Gordon equation in the nonrelativistic limit regime
- A Simple and Efficient Numerical Method for Computing the Dynamics of Rotating Bose--Einstein Condensates via Rotating Lagrangian Coordinates
- The Klein–Gordon equation in the spacetime of a charged and rotating black hole
- Geometric Numerical Integration
- Dynamics of Rotating Bose--Einstein Condensates and its Efficient and Accurate Numerical Computation
- Uniformly Accurate Multiscale Time Integrators for Highly Oscillatory Second Order Differential Equations
- Geometric creation of quantum vorticity
This page was built for publication: On the Rotating Nonlinear Klein--Gordon Equation: NonRelativistic Limit and Numerical Methods
