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Lecture Notes in Computational Science and Engineering(2)
Optimization Methods and Software(2)
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scopus(4)
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 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:scopusIndex determination in DAEs using the library indexdet and the ADOL-C package for algorithmic differentiation
Conference ObjectAbstract: We deal with differential algebraic equations (DAEs) with properly stated leading terms. The calculaPalabras claves:ADOL-C, Differential algebraic equations, Tractability indexAutores:Andreas Griewank, Lamour R., Monett D.Fuentes:scopusPiecewise linear secant approximation via algorithmic piecewise differentiation
ArticleAbstract: It is shown how piecewise differentiable functions F:ℝ n ↦ℝ m that are defined by evaluation programPalabras claves:49J52, 65D25, 65K10, ADOL-C, Automatic differentiation, generalized hermite interpolation, generalized Newton's method, Lipschitz continuity, stable piecewise linearizationAutores:Andreas Griewank, Hasenfelder R., Lehmann L., Radons M., Streubel T.Fuentes:scopus