Effective Condition Number for Boundary Knot Method

F. Z. Wang, Leevan LING, W. Chen*

*Corresponding author for this work

Research output: Contribution to journalJournal articlepeer-review

30 Citations (Scopus)


This study makes the first attempt to apply the effective condition number (ECN) to the stability analysis of the boundary knot method (BKM). We find that the ECN is a superior criterion over the traditional condition number. The main difference between ECN and the traditional condition numbers is in that the ECN takes into account the right hand side vector to estimates system stability. Numerical results show that the ECN is roughly inversely proportional to the numerical accuracy. Meanwhile, using the effective condition number as an indicator, one can fine-tune the user-defined parameters (without the knowledge of exact solution) to ensure high numerical accuracy from the BKM.

Original languageEnglish
Pages (from-to)57-70
Number of pages14
JournalComputers, Materials and Continua
Issue number1
Publication statusPublished - 2009

Scopus Subject Areas

  • Biomaterials
  • Modelling and Simulation
  • Mechanics of Materials
  • Computer Science Applications
  • Electrical and Electronic Engineering

User-Defined Keywords

  • Boundary knot method
  • Effective condition number
  • Traditional condition number


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