The use of block elimination for the calculation of some types of singularities efficiently

Basem S. Attili and Yaqoub Shehadeh

Mathematics and Computers in Simulation (MATCOM), 1994, vol. 36, issue 3, 173-184

Abstract: We will consider the use of block elimination for the calculation of generalized turning and bifurcation points for two point B.V.P.'s. It will be shown that such algorithm will reduce the amount of work required in terms of LU-factorizations to minimal. Since the discretization error of the approximated solution has an asymptotic expansion in terms of even powers of h (the step size). This will lead to the use of some type of extrapolation to produce more accurate results. Finite differences will be used to discretize the two point B.V.P's.

Keywords: Singularities; Bifurcation; Turning points; Block-elimination; Extrapolation (search for similar items in EconPapers)
Date: 1994
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Persistent link: https://EconPapers.repec.org/RePEc:eee:matcom:v:36:y:1994:i:3:p:173-184

DOI: 10.1016/0378-4754(94)90002-7

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