Effective Condition Number for Boundary Knot Method
F.Z. Wang1, L. Ling2, W. Chen1,3
CMC-Computers, Materials & Continua, Vol.12, No.1, pp. 57-70, 2009, DOI:10.3970/cmc.2009.012.057
Abstract 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 More >