A linear system-free Gaussian RBF method for the Gross-Pitaevskii equation on unbounded domains

DOI10.1002/num.20623zbMath1432.65136OpenAlexW2117065128WikidataQ115398333 ScholiaQ115398333MaRDI QIDQ2885150

Scott A. Sarra

Publication date: 21 May 2012

Published in: Numerical Methods for Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/num.20623

zbMATH Keywords

Bose-Einstein condensatesnumerical PDEsRBF interpolationRBF collocation for PDEs

Mathematics Subject Classification ID

Quantum equilibrium statistical mechanics (general) (82B10) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Method of lines for initial value and initial-boundary value problems involving PDEs (65M20)

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Uses Software

• Matlab
• Differentiation Matrix Suite

Cites Work

• Unnamed Item
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• Numerical solution of the Gross--Pitaevskii equation for Bose--Einstein condensation
• Error estimates and condition numbers for radial basis function interpolation
• Limit problems for interpolation by analytic radial basis functions
• A Proposal for Toeplitz Matrix Calculations
• Radial Basis Functions
• Polynomials and Potential Theory for Gaussian Radial Basis Function Interpolation