@article{morlet_lybeck_bowers_1999, title={Convergence of the sinc overlapping domain decomposition method}, volume={98}, ISSN={["0096-3003"]}, DOI={10.1016/S0096-3003(97)10168-0}, abstractNote={The sinc-collocation overlapping method is developed for two-point boundary-value problems for second-order ordinary differential 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. The details of the convergence proof are given for a sinc-collocation method for two-point boundary-value problems when the original domain is divided into two subdomains. The extension to multiple domains is then straightforward. The analytical results are illustrated with numerical examples that exhibit the exponential convergence rate.}, number={2-3}, journal={APPLIED MATHEMATICS AND COMPUTATION}, author={Morlet, AC and Lybeck, NJ and Bowers, KL}, year={1999}, month={Feb}, pages={209–227} }
 @article{morlet_lybeck_bowers_1997, title={The Schwarz alternating sinc domain decomposition method}, volume={25}, ISSN={["0168-9274"]}, DOI={10.1016/S0168-9274(97)00068-8}, abstractNote={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 differential equations with singularities. The discrete system is formulated and the solution technique is described. It is shown that this method has an exponential convergence rate even in the presence of singularities. The details of the convergence proof are given for a sinc-collocation method applied to second-order, two-point boundary-value problems when the original domain is divided into two subdomains. The extension to multiple domains is then straightforward. The analytical results are illustrated with a numerical example that exhibits the exponential convergence rate.}, number={4}, journal={APPLIED NUMERICAL MATHEMATICS}, author={Morlet, AC and Lybeck, NJ and Bowers, KL}, year={1997}, month={Dec}, pages={461–483} }