@MISC{Gladwell_locatingspecial, author = {I. Gladwell and L.F. Shampine and R. W. Brankin}, title = {Locating Special Events when Solving ODEs}, year = {} }

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Abstract

Introduction Computing the solution, yfflR n , of the initial value problem in ordinary differential equations (ODEs), y 0 = f(x; y); a x b; y(a) = y a (1:1) may be only part of a larger task. Possibly the most common such task is to find either a first point t 0 ? a or a set of points ft s g, a ! t 0 t 1 : : : , such that one of the equations g j (x; y(x); y 0 (x)) = 0 j = 1; 2; : : : ; m (1:2) is satisfied at x = t s . The g j are call