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

Yueh Cheng Kuo, Shih-Feng Shieh, Weichung Wang

Research output: Contribution to journalArticlepeer-review

1 Citation (Scopus)

Abstract

Continuation methods are capable of finding multiform solutions by tracking solution curves. However, these methods may fail to track some desired solution curves due to the interference of the rotational equivalent solutions on a radially symmetric domain. We propose a rotational quotient procedure that applies extra constraints to standard continuation which overcomes this difficulty. We solve a time-independent nonlinear Schrödinger equation on a disk domain to demonstrate the functionality of the proposed method.

Original languageEnglish
Pages (from-to)998-1001
Number of pages4
JournalComputer Physics Communications
Volume183
Issue number4
DOIs
Publication statusPublished - 2012 Apr 1

Keywords

  • Continuation methods
  • Radially symmetric domain
  • Rotation invariant solutions

ASJC Scopus subject areas

  • Hardware and Architecture
  • Physics and Astronomy(all)

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