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

Abstract:

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 Taylor-coefficients and their Jacobians are used. A new rational pbkp_redictor is used which can allow for larger step sizes on stiff problems.

Año de publicación:

1997

Keywords:

    Fuente:

    scopusscopus

    Tipo de documento:

    Conference Object

    Estado:

    Acceso restringido

    Áreas de conocimiento:

    • Optimización matemática
    • Optimización matemática
    • Análisis numérico

    Áreas temáticas:

    • Análisis

    Contribuidores:

    Henneberger P.Henneberger P.
    Corliss G.F.Corliss G.F.
    Andreas GriewankAndreas Griewank
    Stetter H.J.Stetter H.J.
    Potra F.A.Potra F.A.
    Kirlinger G.Kirlinger G.