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A Study of the sensitivity of response spectral amplitudes on seismological parameters using algorithmic differentiation
ArticleAbstract: Response spectra are of fundamental importance in earthquake engineering and represent a standard mePalabras claves:Autores:Andreas Griewank, Kuehn N., Molkenthin C., Scherbaum F., Stafford P.J.Fuentes:scopusA first look at quasi-Monte Carlo for lattice field theory problems
Conference ObjectAbstract: In this project we initiate an investigation of the applicability of Quasi-Monte Carlo methods to laPalabras claves:Autores:Andreas Griewank, Jansen K., Leovey H., Müller-Preussker M., Nube A.Fuentes:scopusA mathematical view of automatic differentiation
ReviewAbstract: Automatic, or algorithmic, differentiation addresses the need for the accurate and efficient calculaPalabras claves:Autores:Andreas GriewankFuentes:scopusA method for pointwise evaluation of polyconvex envelopes
ArticleAbstract: We investigate a method for computing the value of a polyconvex envelope at a given feed A0 ∈ ℝm×n.Palabras claves:General position, Optimization, Polyconvex envelopes, Stability testAutores:Andreas Griewank, Bosse T., Eneya L.Fuentes:scopusCharacterizing and testing subdifferential regularity in piecewise smooth optimization
ArticleAbstract: Functions defined by evaluation programs involving smooth elementals and absolute values as well asPalabras claves:abs-normal form, Clarke generalized gradient, First-order-convexity, Linear independence kink qualification, Mangasarin–Fromovitz kink qualification, Mordukhovich subdifferential, Subdifferential regularityAutores:Andreas Griewank, Walther A.Fuentes:scopusCircumventing storage limitations in Variational data assimilation studies
ArticleAbstract: An application of Pontryagin's maximum principle data assimilation is used to blend possibly incomplPalabras claves:Adjoint model, Climate, Gradient, Meteorology, Natural resources recovery, Recursion, STORAGE, variational data assimilationAutores:Andreas Griewank, Leaf G.K., Restrepo J.M.Fuentes:scopusComputation of cusp singularities for operator equations and their discretizations
ArticleAbstract: We discuss the direct calculation of cusp singularities as solutions of a minimally augmented definiPalabras claves:cubic turning point, fold defining system, minimal augmentation, Newton's method, Numerical bifurcation, projection discretization, reduced system, winged cuspAutores:Andreas Griewank, Reddien G.Fuentes:scopusAutomated 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:scopusAutomatic evaluations of cross-derivatives
ArticleAbstract: Cross-derivatives are mixed partial derivatives involving at most one differentiation in each one ofPalabras claves:Autores:Andreas Griewank, Lehmann L., Leovey H., Zilberman M.Fuentes:scopusBeyond the oracle: Opportunities of piecewise differentiation
Book PartAbstract: For more than 30 years much of the research and development in nonsmooth optimization has been prediPalabras claves:Autores:Andreas Griewank, Walther A.Fuentes:scopus