A. I. Fedoseyev, M. J. Friedman and E. J. Kansa, Continuation for nonlinear elliptic partial differential equation discretized by the multiquadric method, Int. J.. Bifurcat Chaos, 10, 481-492, 2000. Home/Search Document Details and Download
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Distance function wavelets - Part III: "Exotic" transforms and.. - Chen (2002) (Correct)
....called the shape parameter, a pseudo scale parameter. In general, replacing the Euclidean distance variable rk by the MQ in the rotational invariant fundamental solution and general solution of PDEs will yield a variety of the MQ type kernel distance functions [3] Enormous numerical experiments [29,30] show that the MQ type distance functions can achieve spectral accuracy if the shape parameter c are optimized. Despite intense research has been devoted to analyzing and determining of the shape parameter, unfortunately, c is found to be problem dependent and there are not general approaches ....
A. I. Fedoseyev, M. J. Friedman and E. J. Kansa, Continuation for nonlinear elliptic partial differential equation discretized by the multiquadric method, Int. J.. Bifurcat Chaos, 10, 481-492, 2000.
Magnetic Field Suppression Of Semiconductor Melt.. - Fedoseyev, Kansa, .. Self-citation (Fedoseyev Kansa) (Correct)
.... x y x x j 2 y y j 2 c 2 j , where c j is called the shape parameter. The numerical experiments for parabolic and elliptic PDEs by Kansa [9] show high accuracy and efficiency of the MQ scheme. A brief review on MQ RBF for the solution of PDE can be found in [15] and on the RBFPDE Web site [22] This approach results in modest size systems of nonlinear algebraic equations which can be efficiently solved by using widely available library routines and linear solvers for dense matrices. For a given set of N nodes the solution for unknown V, p or Q is ....
A. I. Fedoseyev, M. J. Friedman, and E. J. Kansa. Continuation for nonlinear elliptic partial differential equations discretized by the multiquadric method, to appear in Int. J. Bifur. and Chaos.
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