01978nam a2200373 i 450099100426522300753620240319093733.0230303m19931996gw a er 000 0 eng d9783642051630 (v. 1)9783642052200 (v. 2)Bibl. Dip.le Aggr. Matematica e Fisica - Sez. Matematicaeng515.35221LC QA372AMS 34A50AMS 34-XXHairer, Ernst21071Solving ordinary differential equations /E. Hairer, G. Wanner2nd revised ed.Berlin [etc.] :Springer,c1993-19962000-20102 v. :ill. ;24 cmSpringer series in computational mathematics,0179-3632 ;8/14Includes bibliography and index1:Nonstiff problems /E. Haier, S.P. Norsett, G. Wanner. -2000. -xv, 528 p.2:Stiff and differential-algebraic problems. -2010. -xv, 614 p.This 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.Initial value problemsDifferential equationsNumerical solutionsOrdinary differential equationsWanner, GerhardNorsett, Syvert Paul991004265223007536Solving ordinary differential equations3591086UNISALENTO