ADF95: Tool for automatic differentiation of a FORTRAN code designed for large numbers of independent variables

dc.creatorStraka, Christian W.
dc.date2005-03-04
dc.date.accessioned2026-07-07T03:22:35Z
dc.date.available2026-07-07T03:22:35Z
dc.descriptionADF95 is a tool to automatically calculate numerical first derivatives for any mathematical expression as a function of user defined independent variables. Accuracy of derivatives is achieved within machine precision. ADF95 may be applied to any FORTRAN 77/90/95 conforming code and requires minimal changes by the user. It provides a new derived data type that holds the value and derivatives and applies forward differencing by overloading all FORTRAN operators and intrinsic functions. An efficient indexing technique leads to a reduced memory usage and a substantially increased performance gain over other available tools with operator overloading. This gain is especially pronounced for sparse systems with large number of independent variables. A wide class of numerical simulations, e.g., those employing implicit solvers, can profit from ADF95.
dc.description24 pages, 2 figures, 4 tables, accepted in Computer Physics Communications
dc.identifierhttps://arxiv.org/abs/cs/0503014
dc.identifierhttp://arxiv.org/abs/cs/0503014
dc.identifierdoi:10.1016/j.cpc.2005.01.011
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/32654
dc.subjectMathematical Software
dc.subjectD.1.5; G1.7; G1.8; G.4; J.2
dc.titleADF95: Tool for automatic differentiation of a FORTRAN code designed for large numbers of independent variables
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