Multivariate radial basis interpolation for solving quantum fluid dynamical equations

Xu Guang Hu, Tak San Ho, H. Rabitz, A. Askar

Research output: Contribution to journalArticle

5 Scopus citations

Abstract

This paper proposes a new numerical technique for solving the quantum fluid dynamical equations within the Lagrangian description. An efficient and accurate numerical scheme is achieved by taking advantage of the smooth field variables obtained via the Madelung transformation combined with the radial basis function interpolation. Applications to the 2D coherent state and a 2D model of NO2 photodissociation dynamics show that the present method rivals the split-operator method in both efficiency and accuracy. The advantage of the new algorithm as a computational tool is expected to prevail for high-dimensional systems.

Original languageEnglish (US)
Pages (from-to)525-537
Number of pages13
JournalComputers and Mathematics with Applications
Volume43
Issue number3-5
DOIs
StatePublished - Feb 1 2002

All Science Journal Classification (ASJC) codes

  • Modeling and Simulation
  • Computational Theory and Mathematics
  • Computational Mathematics

Keywords

  • Bohmian mechanics
  • Multivariate interpolation
  • Quantum fluid dynamics
  • Radial basis function
  • Schrödinger equation

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