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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...
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Article
Livres reçus
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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...
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Chapter and Conference Paper
Algorithms for the inclusion of solutions of ordinary initial value problems
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Chapter and Conference Paper
Global error estimation in ordinary initial value problems
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Chapter and Conference Paper
Defect corrections and multigrid iterations
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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 ...
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Chapter and Conference Paper
Global error estimation in ODE-solvers
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