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Optimization Methods and Software Volume 24, 2009 - Issue 1
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Original Articles

Fast higher-order derivative tensors with Rapsodia

I. Charpentier Laboratoire de Physique et Mécanique des Matériaux, UMR CNRS 7554, Ile du Saulcy, Metz Cedex 1, France
&
J. Utke Mathematics and Computer Science Division, Argonne National Laboratory, Argonne, IL, USACorrespondence[email protected]
Pages 1-14 | Received 06 Jun 2007, Published online: 04 Mar 2011

Citations (21)

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Read on this site (3)

Valérie Pascual & Laurent Hascoët. (2018) Mixed-language automatic differentiation. Optimization Methods and Software 33:4-6, pages 1192-1206.
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Isabelle Charpentier & Jens Gustedt. (2018) Arbogast: Higher order automatic differentiation for special functions with Modular C. Optimization Methods and Software 33:4-6, pages 963-987.
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I. Charpentier. (2012) On higher-order differentiation in nonlinear mechanics. Optimization Methods and Software 27:2, pages 221-232.
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Articles from other publishers (18)

Isak Svensson, Andreas Ekström & Christian Forssén. (2023) Bayesian estimation of the low-energy constants up to fourth order in the nucleon-nucleon sector of chiral effective field theory. Physical Review C 107:1.
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Isak Svensson, Andreas Ekström & Christian Forssén. (2022) Bayesian parameter estimation in chiral effective field theory using the Hamiltonian Monte Carlo method. Physical Review C 105:1.
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S. Wesolowski, I. Svensson, A. Ekström, C. Forssén, R. J. Furnstahl, J. A. Melendez & D. R. Phillips. (2021) Rigorous constraints on three-nucleon forces in chiral effective field theory from fast and accurate calculations of few-body observables. Physical Review C 104:6.
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James R. Maddison, Daniel N. Goldberg & Benjamin D. Goddard. (2019) Automated Calculation of Higher Order Partial Differential Equation Constrained Derivative Information. SIAM Journal on Scientific Computing 41:5, pages C417-C445.
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Lennart Rubbert, Isabelle Charpentier, Simon Henein & Pierre Renaud. (2017) Higher-order continuation method for the rigid-body kinematic design of compliant mechanisms. Precision Engineering 50, pages 455-466.
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Isabelle Charpentier. (2016) Optimized higher-order automatic differentiation for the Faddeeva function. Computer Physics Communications 205, pages 132-137.
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Isabelle Charpentier & Komlanvi Lampoh. (2016) Sensitivity computations in higher order continuation methods. Applied Mathematical Modelling 40:4, pages 3365-3380.
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C Dal Cappello, F Menas, S Houamer, Yu V Popov & A C Roy. (2015) A study of the turn-up effect in the electron momentum spectroscopy. Journal of Physics B: Atomic, Molecular and Optical Physics 48:20, pages 205201.
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Isabelle Charpentier & Claude Dal Cappello. (2015) Higher-order automatic differentiation of mathematical functions. Computer Physics Communications 189, pages 66-71.
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Alexandre Goldsztejn, Jorge Cruz & Elsa Carvalho. (2014) Convergence analysis and adaptive strategy for the certified quadrature over a set defined by inequalities. Journal of Computational and Applied Mathematics 260, pages 543-560.
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Jean Utke, Bradley T. Rearden & Robert A. Lefebvre. (2013) Sensitivity Analysis for Mixed-Language Numerical Models. Procedia Computer Science 18, pages 1794-1803.
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Gregory Lantoine, Ryan P. Russell & Thierry Dargent. (2012) Using Multicomplex Variables for Automatic Computation of High-Order Derivatives. ACM Transactions on Mathematical Software 38:3, pages 1-21.
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James A. Reed, Jean Utke & Hany S. Abdel-Khalik. 2012. Recent Advances in Algorithmic Differentiation. Recent Advances in Algorithmic Differentiation 23 33 .
Komlanvi Lampoh, Isabelle Charpentier & El Mostafa Daya. (2011) A generic approach for the solution of nonlinear residual equations. Part III: Sensitivity computations. Computer Methods in Applied Mechanics and Engineering 200:45-46, pages 2983-2990.
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Darius Buntinas, Alexis J. Malozemoff & Jean Utke. (2010) Multithreaded derivative computation with generated libraries. Journal of Computational Science 1:2, pages 89-97.
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Sri Hari Krishna Narayanan, Boyana Norris & Beata Winnicka. (2010) ADIC2: Development of a component source transformation system for differentiating C and C++. Procedia Computer Science 1:1, pages 1845-1853.
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Darius Buntinas, Alexis J. Malozemoff & Jean Utke. (2010) Efficient generated libraries for asynchronous derivative computation. Procedia Computer Science 1:1, pages 1785-1793.
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A Lahmam-Bennani, A Naja, E M Staicu Casagrande, N Okumus, C Dal Cappello, I Charpentier & S Houamer. (2009) Dynamics of electron impact ionization of the outer and inner valence (1t 2 and 2a 1 ) molecular orbitals of CH 4 at intermediate and large ion recoil momentum . Journal of Physics B: Atomic, Molecular and Optical Physics 42:16, pages 165201.
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