F. MAZZIA and D. TRIGIANTE

Computing codes for ordinary differential equations: state of art and perspectives

Pages 69-87
Received: 2 September 1999
Mathematics Subject Classification (2000): 65L05 - 65L06 - 65L10

Work supported by GNIM and MURST.

Abstract This review article describes some of the problems connected to the construction of codes for the numerical solution of ordinary differential equations. Our aim is to show, on a concrete example, the complexity of the process which, starting from the continuous problem, arrives at its approximate solution handling a large number of intermediate numerical problems.