An efficient determination of critical parameters of nonlinear Schrödinger equation with a point-like potential using generalized polynomial chaos methods

DOI10.1016/J.APNUM.2013.05.005zbMath1302.65231arXiv1111.3865OpenAlexW1992433881MaRDI QIDQ465084

Emmanuel Lorin, Jae-Hun Jung, Debananda Chakraborty

Publication date: 31 October 2014

Published in: Applied Numerical Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1111.3865

zbMATH Keywords

computational complexitynumerical resultsnonlinear Schrödinger equationspectral methodsoliton solutionspectral convergencecritical velocitysingular potentialstochastic collocation methodgeneralized polynomial chaosdetermination of critical parameterssplit step Fourier method

Mathematics Subject Classification ID

Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) NLS equations (nonlinear Schrödinger equations) (35Q55) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Complexity and performance of numerical algorithms (65Y20)

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