Minisymposium on Applications of Interval Computations at the Third World Congress of Nonlinear Analysts Catania, Sicily, Italy, July 19–26, 2000 On July 19–26, 2000 the third World Congress of Nonlinear Analysts was held in Catania, Sicily, Italy. This huge conference with over 1350 talks attracted researchers from all over the world. On July 21, a minisymposium on the applica- tions of interval computations took place. In the ﬁrst talk, Ken Jackson gave a short introduction to interval computations and surveyed validated methods for the numerical solution of initial value prob- lems for ordinary differential equations, focusing on interval Hermite-Obreshkov methods and on a method by which the wrapping effect is considerably reduced. Martin Berz studied the motion of objects in the solar system and particle trajectories in accelerator rings. His method uses the approach of Taylor models which permits the control of the so-called dependency problem as well as the wrapping effect. The method was applied to the study of possible collision of near- earth asteroids with earth within an advanced relativistic NASA model of the solar system. Siegfried Rump presented a new method for ﬁnding an approximation and inclusion of multiple eigenvalues of matrices. His results are of
Reliable Computing – Springer Journals
Published: Oct 3, 2004
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