3269 ART--2009-004 eng Calvo, M. calvo@unizar.es On the solution of discontinuous IVPs by adaptive Runge-Kutta codes 2003 mult. p In this paper an automatic technique for handling discontinuous IVPs when they are solved by means of adaptive Runge–Kutta codes is proposed. This technique detects, accurately locates and passes the discontinuities in the solution of IVPs by using the information generated by the code along the numerical integration together with a continuous interpolant of the discrete solution. A remarkable feature is that it does not require additional information on the location of the discontinuities. Some numerical experiments are presented to illustrate the reliability and efficiency of the proposed algorithms. discontinuous initial value problems adaptive Runge–Kutta methods detection of discontinuities Montijano, Juan I. montijano@unizar.es Rández, Luis randez@unizar.es Numerical Algorithms Numer. Algorithms 1572-9265 Vol. 33, Num. 1-4 (agosto de 2003), pp. 163-182 teresa@unizar.es Matemática Aplicada ART ANyA international_article oai:zaguan.unizar.es:3269 driver http://dx.doi.org/10.1023/A:1025507920426 Texto completo