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Algorithm 799: Revolve: An implementation of checkpointing for the reverse or adjoint mode of computational differentiation
ArticleAbstract: In its basic form, the reverse mode of computational differentiation yields the gradient of a scalarPalabras claves:Adjoint mode, ALGORITHMS, Checkpointing, Computational differentiation, Reverse modeAutores:Andreas Griewank, Walther A.Fuentes:scopusApplication 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:scopusHigher derivative tensors from univariate Taylor series with comparison to Maple on an engineering problem
ReviewAbstract: We consider the problem of evaluating partial derivatives of a vector function defined by a computerPalabras claves:Autores:Andreas Griewank, Vogel O., Walther A.Fuentes:scopusMultiple vector-Jacobian products are cheap
ArticleAbstract: A study is carried out to examine what statements can be made about the relative costs of obtainingPalabras claves:Autores:Andreas Griewank, Best A., Walther A.Fuentes:scopusOn the efficient generation of taylor expansions for DAE solutions by automatic differentiation
Conference ObjectAbstract: Under certain conditions the signature method suggested by Pantiledes and Pryce facilitates the locaPalabras claves:Autores:Andreas Griewank, 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