A conservative sine pseudo-spectral-difference method for multi-dimensional coupled Gross-Pitaevskii equations
DOI10.1007/S10444-020-09769-ZzbMath1436.65106OpenAlexW3011372898MaRDI QIDQ1987763
Publication date: 15 April 2020
Published in: Advances in Computational Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10444-020-09769-z
conservation lawssolvabilityaccelerated algorithmcoupled Gross-Pitaevskii equationsfast sine transformoptimal error analysissine pseudo-spectral-difference scheme
Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) NLS equations (nonlinear Schrödinger equations) (35Q55) Numerical methods for discrete and fast Fourier transforms (65T50) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15)
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Cites Work
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- Fourth-order compact and energy conservative difference schemes for the nonlinear Schrödinger equation in two dimensions
- An efficient spectral method for computing dynamics of rotating two-component Bose-Einstein condensates via coordinate transformation
- Optimal point-wise error estimate of a compact difference scheme for the coupled Gross-Pitaevskii equations in one dimension
- Optimal \(l^\infty\) error estimates of finite difference methods for the coupled Gross-Pitaevskii equations in high dimensions
- On the \(L_\infty \) convergence of a difference scheme for coupled nonlinear Schrödinger equations
- Numerical solution of coupled nonlinear Schrödinger equation by Galerkin method
- Error estimates of a trigonometric integrator sine pseudo-spectral method for the extended Fisher-Kolmogorov equation
- Stability and convergence of trigonometric integrator pseudospectral discretization for \textit{N}-coupled nonlinear Klein-Gordon equations
- Unconditional and optimal \(H^{1}\) error estimate of a Crank-Nicolson finite difference scheme for the Gross-Pitaevskii equation with an angular momentum rotation term
- A conservative Fourier pseudo-spectral method for the nonlinear Schrödinger equation
- Mathematical theory and numerical methods for Bose-Einstein condensation
- A time-splitting spectral method for coupled Gross-Pitaevskii equations with applications to rotating Bose-Einstein condensates
- Dynamics of rotating two-component Bose-Einstein condensates and its efficient computation
- Strong coupling of Schrödinger equations: conservative scheme approach
- On error estimates of an exponential wave integrator sine pseudospectral method for the Klein-Gordon-Zakharov system
- Convergence analysis of a linearized Crank-Nicolson scheme for the two-dimensional complex Ginzburg-Landau equation
- Approximation Results for Orthogonal Polynomials in Sobolev Spaces
- Optimal error estimates of finite difference methods for the Gross-Pitaevskii equation with angular momentum rotation
- A linearized, decoupled, and energy‐preserving compact finite difference scheme for the coupled nonlinear Schrödinger equations
- Multi-Symplectic Fourier Pseudospectral Method for the Kawahara Equation
- An Exponential Wave Integrator Sine Pseudospectral Method for the Klein--Gordon--Zakharov System
- Ground States of Two-component Bose-Einstein Condensates with an Internal Atomic Josephson Junction
- A Fourth-Order Time-Splitting Laguerre--Hermite Pseudospectral Method for Bose--Einstein Condensates
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