On the implementation of automatic differentiation tools

DOI10.1007/s10990-008-9034-4zbMath1168.65324OpenAlexW1983864872MaRDI QIDQ1029809

Paul D. Hovland, Boyana Norris, Christian H. Bischof

Publication date: 13 July 2009

Published in: Higher-Order and Symbolic Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10990-008-9034-4

zbMATH Keywords

algorithmscomputer programautomatic differentiationsemantic transformation

Mathematics Subject Classification ID

Symbolic computation and algebraic computation (68W30) Numerical differentiation (65D25)

Related Items

Semantics of roundoff error propagation in finite precision calculations, A simple way to improved formulation of \(\text{FE}^2\) analysis, Automatic solver for non-linear partial differential equations with implicit local laws: Application to unilateral contact, Numerical methods for computing sensitivities for ODEs and DDEs, Unnamed Item, A one-shot optimization framework with additional equality constraints applied to multi-objective aerodynamic shape optimization, Convergence analysis and adaptive strategy for the certified quadrature over a set defined by inequalities, Automatic Differentiation in ACL2, A Simple and Efficient Tensor Calculus for Machine Learning

Uses Software

• MXYZPTLK
• ADOL-C
• AUTO_DERIV
• ADIFOR
• WHIRL
• ADMIT
• ADIC
• AMPL
• FADBAD++
• CppAD
• ROSE
• GAMS
• ADiMat
• TAMC
• TAF
• SUIF
• AceGen
• AD01
• Odyssee
• Python

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• A Modeling Language for Mathematical Programming
• ADMIT
• An ADA library for automatic evaluation of derivatives
• Automatic differentiation in MATLAB
• AUTO\_DERIV: Tool for automatic differentiation of a FORTRAN code
• Telescoping languages: A strategy for automatic generation of scientific problem-solving systems from annotated libraries
• Hybrid system for multi-language and multi-environment generation of numerical codes
• Recipes for adjoint code construction
• Algorithm 755: ADOL-C
• Circumventing Storage Limitations in Variational Data Assimilation Studies
• ADMIT-1
• Data structure and algorithms for fast automatic differentiation
• Functional automatic differentiation with dirac impulses
• A simple automatic derivative evaluation program
• Investigation of a new analytical method for numerical derivative evaluation
• Dynamic computation of derivatives
• Stochastic Algorithms: Foundations and Applications
• Functional differentiation of computer programs