@Article{cmes.2008.025.023,
AUTHOR = {Arezoo  Emdadi, Edward J.  Kansa, Nicolas Ali  Libre, Mohammad Rahimian, Mohammad  Shekarchi},
TITLE = {Stable PDE Solution Methods for Large Multiquadric Shape Parameters},
JOURNAL = {Computer Modeling in Engineering \& Sciences},
VOLUME = {25},
YEAR = {2008},
NUMBER = {1},
PAGES = {23--42},
URL = {http://www.techscience.com/CMES/v25n1/25090},
ISSN = {1526-1506},
ABSTRACT = {We present a new method based upon the paper of Volokh and Vilney (2000) that produces highly accurate and stable solutions to very ill-conditioned multiquadric (MQ) radial basis function (RBF) asymmetric collocation methods for partial differential equations (PDEs). We demonstrate that the modified Volokh-Vilney algorithm that we name the improved truncated singular value decomposition (IT-SVD) produces highly accurate and stable numerical solutions for large values of a constant MQ shape parameter, c, that exceeds the critical value of c based upon Gaussian elimination.},
DOI = {10.3970/cmes.2008.025.023}
}