Rotational quotient procedure: a tracking control continuation method for PDEs on radially symmetric domains

DOI10.1016/j.cpc.2012.01.008zbMath1290.35243OpenAlexW2046776870MaRDI QIDQ1948842

Shih-Feng Shieh, Yueh-Cheng Kuo, Wei-Chung Wang

Publication date: 25 April 2013

Published in: Computer Physics Communications (Search for Journal in Brave)

Full work available at URL: http://ntur.lib.ntu.edu.tw/bitstream/246246/242285/-1/10.pdf

zbMATH Keywords

continuation methodsradially symmetric domainrotation invariant solutions

Mathematics Subject Classification ID

NLS equations (nonlinear Schrödinger equations) (35Q55) Continuation and prolongation of solutions to PDEs (35B60) Time-dependent Schrödinger equations and Dirac equations (35Q41)

Related Items (1)

A complete study of the ground state phase diagrams of spin-1 Bose-Einstein condensates in a magnetic field via continuation methods

Cites Work

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• A minimal energy tracking method for non-radially symmetric solutions of coupled nonlinear Schrödinger equations
• A hyperplane-constrained continuation method for near singularity in coupled nonlinear Schrödinger equations
• Numerical methods in bifurcation problems. Lectures delivered at the Indian Institute of Science, Bangalore, under the T.I.F.R.-I.I.Sc. Programme in Applications of Mathematics. Notes by A. K. Nandakumaran and Mythily Ramaswamy
• A continuation BSOR-Lanczos--Galerkin method for positive bound states of a multi-component Bose-Einstein condensate
• A Generalized-Laguerre–Fourier–Hermite Pseudospectral Method for Computing the Dynamics of Rotating Bose–Einstein Condensates
• Ground States and Dynamics of Multicomponent Bose--Einstein Condensates
• Numerical Methods for Bifurcations of Dynamical Equilibria
• Dynamics of Rotating Bose--Einstein Condensates and its Efficient and Accurate Numerical Computation

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