caa a22 4500 465821448 CHVBK 20180323112136.0 cr unu---uuuuu 170327e19900601xx s 000 0 eng 10.1007/BF02017354 doi (NATIONALLICENCE)springer-10.1007/BF02017354 On error behaviour of partitioned linearly implicit runge-kutta methods for stiff and differential algebraic systems [Elektronische Daten] [K. Strehmel, R. Weiner, I. Dannehl] This paper studies partitioned linearly implicit Runge-Kutta methods as applied to approximate the smooth solution of a perturbed problem with stepsizes larger than the stiffness parameterε. Conditions are supplied for construction of methods of arbitrary order. The local and global error are analyzed and the limiting caseε → 0 considered yielding a partitioned linearly implicit Runge-Kutta method for differential-algebraic equations of index one. Finally, some numerical experiments demonstrate our theoretical results. BIT Foundations, 1990 AMS(MOS) 65L05 nationallicence CR:G1.7 nationallicence Strehmel K. Sektion Mathematik, Martin-Luther-Universität Halle-Wittenberg, Weinbergweg 17, DDR-4050, Halle, German Democratic Republic aut Weiner R. Sektion Mathematik, Martin-Luther-Universität Halle-Wittenberg, Weinbergweg 17, DDR-4050, Halle, German Democratic Republic aut Dannehl I. Sektion Mathematik, Martin-Luther-Universität Halle-Wittenberg, Weinbergweg 17, DDR-4050, Halle, German Democratic Republic aut BIT Kluwer Academic Publishers 30/2(1990-06-01), 358-375 0006-3835 30:2<358 1990 30 10543 https://doi.org/10.1007/BF02017354 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/BF02017354 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Strehmel K. Sektion Mathematik, Martin-Luther-Universität Halle-Wittenberg, Weinbergweg 17, DDR-4050, Halle, German Democratic Republic aut NATIONALLICENCE 700 1- Weiner R. Sektion Mathematik, Martin-Luther-Universität Halle-Wittenberg, Weinbergweg 17, DDR-4050, Halle, German Democratic Republic aut NATIONALLICENCE 700 1- Dannehl I. Sektion Mathematik, Martin-Luther-Universität Halle-Wittenberg, Weinbergweg 17, DDR-4050, Halle, German Democratic Republic aut NATIONALLICENCE 773 0- BIT Kluwer Academic Publishers 30/2(1990-06-01), 358-375 0006-3835 30:2<358 1990 30 10543 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer