Least-squares fitting of circles and ellipses.
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Bulletin of the Belgian Mathematical Society - Simon Stevin
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Gander, Walter, Golub, Gene H., Strebel, Rolf (1996)
Bulletin of the Belgian Mathematical Society - Simon Stevin
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Chleboun, Jan, Mikeš, Karel
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Scalar parameter values as well as initial condition values are to be identified in initial value problems for ordinary differential equations (ODE). To achieve this goal, computer algebra tools are combined with numerical tools in the MATLAB environment. The best fit is obtained through the minimization of the summed squares of the difference between measured data and ODE solution. The minimization is based on a gradient algorithm where the gradient of the summed squares is calculated...
Kotas, Petr, Vondrák, Vít, Praks, Pavel
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Kybernetika
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Khazal, R.R., Chawla, M.M. (2004)
International Journal of Mathematics and Mathematical Sciences
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Pascal Havé (2002)
ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique
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During the development of a parallel solver for Maxwell equations by integral formulations and Fast Multipole Method (FMM), we needed to optimize a critical part including a lot of communications and computations. Generally, many parallel programs need to communicate, but choosing explicitly the way and the instant may decrease the efficiency of the overall program. So, the overlapping of computations and communications may be a way to reduce this drawback. We will see a implementation...