Repositorio Zaguan - Universidad de Zaragoza 

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000003269 001__ 3269
000003269 037__ $$aART--2009-004
000003269 041__ $$aeng
000003269 100__ $$aCalvo, M. $$bcalvo@unizar.es
000003269 245__ $$aOn the solution of discontinuous IVPs by adaptive Runge-Kutta codes 
000003269 260__ $$c2003
000003269 300__ $$amult. p
000003269 520__ $$aIn 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.
000003269 6531_ $$adiscontinuous initial value problems
000003269 6531_ $$aadaptive Runge–Kutta methods
000003269 6531_ $$adetection of discontinuities
000003269 700__ $$aMontijano, Juan I.$$bmontijano@unizar.es
000003269 700__ $$aRández, Luis$$brandez@unizar.es
000003269 773__ $$gVol. 33, Num. 1-4 (agosto de 2003), pp. 163-182$$pNumer. Algorithms$$tNumerical Algorithms$$x1572-9265
000003269 8560_ $$fteresa@unizar.es
000003269 8564_ $$uhttp://dx.doi.org/10.1023/A:1025507920426$$zTexto completo
000003269 909CO $$ooai:zaguan.unizar.es:3269$$pdriver
000003269 9102_ $$a$$bMatemática Aplicada
000003269 980__ $$aART$$bANyA
000003269 983__ $$ainternational_article
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