Search Results - Springer

Chapter and Conference Paper

High-order stiff ODE solvers via automatic differentiation and rational prediction

A class of higher order methods is investigated which can be viewed as implicit Taylor series methods based on Hermite quadratures. Improved automatic differentiation techniques for the claculation of the Tayl...

G. F. Corliss, A. Griewank, P. Henneberger… in Numerical Analysis and Its Applications (1997)

Article

Livres reçus

(Ye M.) Dianov, (O.) Engstroem, (U.) Kulisch… in Annales Des Télécommunications (1989)

Chapter

An Elimination Algorithm for the Computation of All Zeros of a System of Multivariate Polynomial Equations

A direct numerical method is proposed for the determination of all isolated zeros of a system of multivariate polynomial equations. By “polynomial combination”, the system is reduced to a special form which ma...

W. Auzinger, H. J. Stetter in Numerical Mathematics Singapore 1988 (1988)

Chapter and Conference Paper

Algorithms for the inclusion of solutions of ordinary initial value problems

H. J. Stetter in Equadiff 6 (1986)

Chapter and Conference Paper

Global error estimation in ordinary initial value problems

H. J. Stetter in Numerical Integration of Differential Equations and Large Linear Systems (1982)

Chapter and Conference Paper

Defect corrections and multigrid iterations

W. Auzinger, H. J. Stetter in Multigrid Methods (1982)

Article

On the error control in ODE solvers with local extrapolation

Jackson, Enright, and Hull have analytically assessed the effectiveness of RK-algorithms for linear ODEs with constant coefficients. Their results may carry over to more general problems if a certain relation ...

H. J. Stetter, E. Weinmüller in Computing (1981)

Chapter and Conference Paper