Title
High-Order Stiff ODE Solvers via Automatic Differentiation and Rational Prediction
Abstract
For solving potentially stiff initial value problems in ordinary differentialequations numerically, we examine a class of high order methods that waslast considered by Wanner in the sixties. These high order schemes maybe viewed as implicit Taylor series methods based on Hermite quadratures.On linear problems the methods are equivalent to implicit Runge Kuttamethods of the Legendre, Radau and Lobatto type and have therefore thesame Aor Lstability properties.In contrast to earlier...
Year
DOI
Venue
1996
10.1007/3-540-62598-4_85
WNAA
Keywords
Field
DocType
rational prediction,automatic differentiation,high-order stiff ode solvers,taylor series,initial value problem
Applied mathematics,Stiff equation,Automatic differentiation,Hermite polynomials,Mathematics,Calculus,Taylor series
Conference
ISBN
Citations 
PageRank 
3-540-62598-4
12
6.03
References 
Authors
3
6
Name
Order
Citations
PageRank
George F. Corliss19526.53
Andreas Griewank2526110.14
P. Henneberger3126.03
G. Kirlinger4209.26
F. A. Potra5379.79
Hans J. Stetter614345.64