Abstract | ||
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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. Corliss | 1 | 95 | 26.53 |
Andreas Griewank | 2 | 526 | 110.14 |
P. Henneberger | 3 | 12 | 6.03 |
G. Kirlinger | 4 | 20 | 9.26 |
F. A. Potra | 5 | 37 | 9.79 |
Hans J. Stetter | 6 | 143 | 45.64 |