Anne C. Morlet

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The overlapping sinc{collocation domain decomposition method combined with the Schwarz alternating technique is developed for two-point boundary-value problems for second-order ordinary diierential equations with singularities. The discrete system is formulated and the solution technique is described. It is shown that this method has an exponential(More)
The sinc{collocation overlapping method is developed for two-point boundary-value problems for second-order ordinary diierential equations. The discrete system is formulated and the bordering algorithm used for the solution of this system is described. It is then shown that the convergence rate is exponential even if the solution has boundary singularities.(More)
We present an improved model for the vortex sheet equation, that combines some of the features of the models of Beale and Schaeeer, Dhanak, and Baker et al. We regularize the Beale-Schaeeer equation with a second-order viscous regularizing term, and we add a globally deened ux term in conservative form. We obtain u t + iu x = H(u)u ]x + ju x j 2 u x ]x + u(More)
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