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scopus(17)
Automated extension of fixed point PDE solvers for optimal design with bounded retardation
Book PartAbstract: We study PDE-constrained optimization problems where the state equation is solved by a pseudo-time sPalabras claves:Aerodynamic shape optimization, Augmented Lagrangian, Automatic differentiation, Climate model, Exact penalty function, Fixed point solvers, Nonlinear optimization, parameter optimizationAutores:Andreas Griewank, Gauger N.R., Hamdi A., Kratzenstein C., Özkaya E., Slawig T.Fuentes:scopusADIFOR: Automatic differentiation in a source translator environment
Conference ObjectAbstract: The numerical methods employed in the solution of many scientific computing problems require the comPalabras claves:Automatic differentiation, Chain rule, Derivative, Gradient, Jacobian, Parascope parallel programming environment, Source transformation and optimizationAutores:Andreas Griewank, Bischof C., Carle A., Corliss G.F.Fuentes:scopusADOL-C: Computing higher-order derivatives and sparsity pattern for functions written in C/C++
Conference ObjectAbstract: This paper presents ADOL-C, a software package for the Automatic Differentiation of C and C++ codes.Palabras claves:Automatic differentiation, Forward mode, Higher-order derivatives, Reverse mode, Sparsity detectionAutores:Andreas Griewank, Walther A.Fuentes:scopusDetecting Jacobian sparsity patterns by Bayesian probing
ArticleAbstract: In this paper we describe an automatic procedure for successively reducing the set of possible nonzePalabras claves:Automatic differentiation, Conditional Probability, Difference quotients, sparsityAutores:Andreas Griewank, Mitev C.Fuentes:scopusAlgorithm 755: ADOL-C: A Package for the Automatic Differentiation of Algorithms Written in C/C++
ArticleAbstract: The C++ package ADOL-C described here facilitates the evaluation of first and higher derivatives ofPalabras claves:ALGORITHMS, Automatic differentiation, G.1.4 [Numerical Analysis]: Quadrature and Numerical Differentiation - computational differentiation, I.1.2 [Algebraic Manipulation]: Algorithms - analysis of algorithms, performanceAutores:Andreas Griewank, Juedes D., Utke J.Fuentes:scopusDerivative Convergence for Iterative Equation Solvers
ArticleAbstract: When nonlinear equation solvers are applied to parameter-dependent problems, their iterates can be iPalabras claves:Automatic differentiation, Derivative convergence, Implicit functions, Newton-like methods, preconditioning, Secant updatesAutores:Andreas Griewank, Bischof C., Carle A., Corliss G.F., Williamson K.Fuentes:scopusDirect gear tooth contact analysis for hypoid bevel gears
ArticleAbstract: A new methodology for tooth contact analysis based on a very general mathematical model of the generPalabras claves:Automatic differentiation, Bearing area, First order singularity, Hypoid bevel gear, Paths of contact, Tooth contact analysis, Transmission errorAutores:Andreas Griewank, Bär G., Vogel O.Fuentes:scopusOn stable piecewise linearization and generalized algorithmic differentiation
ArticleAbstract: It is shown how functions that are defined by evaluation programs involving the absolute value functPalabras claves:ADOL-C, Automatic differentiation, Bouligand derivative, bundle methods, coherent orientation, computational graph, conical activity, directional derivative, generalized gradients and Jacobians, Lipschitz continuity, midpoint method, piecewise differentiability, piecewise Newton, trapezoidal ruleAutores:Andreas GriewankFuentes: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:scopusOn the numerical stability of algorithmic differentiation
Conference ObjectAbstract: In contrast to integration, the differentiation of a function is an ill-conditioned process, if onlyPalabras claves:Automatic differentiation, Forward-backward stability, IEEE arithmetic, Rounding error estimates, Ultimate roundingAutores:Andreas Griewank, Kulshreshtha K., Walther A.Fuentes:scopus