LEADER 01978nam a2200373 i 4500 001 991004265223007536 005 20240319093733.0 008 230303m19931996gw a er 000 0 eng d 020 $a9783642051630 (v. 1) 020 $a9783642052200 (v. 2) 040 $aBibl. Dip.le Aggr. Matematica e Fisica - Sez. Matematica$beng 082 04$a515.352$221 084 $aLC QA372 084 $aAMS 34A50 084 $aAMS 34-XX 100 1 $aHairer, Ernst$021071 245 00$aSolving ordinary differential equations /$cE. Hairer, G. Wanner 250 $a2nd revised ed. 260 $aBerlin [etc.] :$bSpringer,$cc1993-1996 264 31$c2000-2010 300 $a2 v. :$bill. ;$c24 cm 490 0 $aSpringer series in computational mathematics,$x0179-3632 ;$v8/14 500 $aIncludes bibliography and index 505 0 $g1:$tNonstiff problems /$rE. Haier, S.P. Norsett, G. Wanner. -$g2000. -$gxv, 528 p. 505 0 $a2:$tStiff and differential-algebraic problems. -$g2010. -$gxv, 614 p. 520 $aThis book deals with methods for solving nonstiff ordinary differential equations. The first chapter describes the historical development of the classical theory, and the second chapter includes a modern treatment of Runge-Kutta and extrapolation methods. Chapter three begins with the classical theory of multistep methods, and concludes with the theory of general linear methods. The reader will benefit from many illustrations, a historical and didactic approach, and computer programs which help him/her learn to solve all kinds of ordinary differential equations. This new edition has been rewritten and new material has been included. 650 4$aInitial value problems 650 4$aDifferential equations$xNumerical solutions 650 4$aOrdinary differential equations 700 1 $aWanner, Gerhard 700 1 $aNorsett, Syvert Paul 912 $a991004265223007536 996 $aSolving ordinary differential equations$93591086 997 $aUNISALENTO