An efficient algorithm for the Schrödinger-Poisson eigenvalue problem

DOI10.1016/j.cam.2006.05.013zbMath1122.65105OpenAlexW2162278782MaRDI QIDQ2372947

B.-W. Jeng, Cheng-Sheng Chien, Shing-Lin Chang

Publication date: 17 July 2007

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2006.05.013

zbMATH Keywords

convergencewave functionstwo-grid methodSchrödinger-Poisson systemRayleigh quotient iterationconjugate gradient iterationsnonlinear potentialSchrödinger eigenvalue problem

Mathematics Subject Classification ID

Estimates of eigenvalues in context of PDEs (35P15) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Numerical methods for eigenvalue problems for boundary value problems involving PDEs (65N25)

Related Items

A Jacobi spectral method for computing eigenvalue gaps and their distribution statistics of the fractional Schrödinger operator, Computing multiple peak solutions for Bose-Einstein condensates in optical lattices, Unconditional optimal error estimates of a two-grid method for semilinear parabolic equation, A spectral-Galerkin continuation method for numerical solutions of the Gross-Pitaevskii equation

Uses Software

• PLTMGC

Cites Work

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