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Application of AD-based Quasi-Newton Methods to Stiff ODEs
ArticleAbstract: Systems of stiff ordinary differential equations (ODEs) can be integrated properly only by implicitPalabras claves:Adjoint-based update, ADOL-C, Quasi-Newton, Scaling invariance, Stiff ODEAutores:Andreas Griewank, Schlenkrich S., Walther A.Fuentes:scopusOn the local convergence of adjoint Broyden methods
ArticleAbstract: The numerical solution of nonlinear equation systems is often achieved by so-called quasi-Newton metPalabras claves:Adjoint based update, Automatic differentiation, nonlinear equations, Quasi-Newton methodsAutores:Andreas Griewank, Schlenkrich S., Walther A.Fuentes:scopusOptimal r-order of an adjoint Broyden method without the assumption of linearly independent steps
ArticleAbstract: Quasi-Newton methods based on least change secant updating formulas that solve linear equations Ax=bPalabras claves:Adjoint-based update, Automatic differentiation, nonlinear equations, Quasi-Newton methods, R-orderAutores:Andreas Griewank, Schlenkrich S., Walther A.Fuentes:scopus