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

ADF95 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.Comment: 24 pages, 2 figures, 4 tables, accepted in Computer Physics Communication

Moon-Dreams: Where Dreams are made

https://digitalcommons.library.umaine.edu/mmb-vp/5786/thumbnail.jp

To: The Mayor, First Selectman or Town Manager, June 26, 1940.

https://digitalmaine.com/alien_ref/1008/thumbnail.jp

The Sack Waltz

No cover arthttps://scholarsjunction.msstate.edu/cht-sheet-music/10497/thumbnail.jp

To: The Municipal Officers

Letter to Municipal Officers requesting that completed registration be sent to the Intelligence Section of the Adjutant Generals office.https://digitalmaine.com/alien_ref/1015/thumbnail.jp

Reply to letter from W.H. Stevens, August 12, 1940.

https://digitalmaine.com/alien_corresp/1022/thumbnail.jp

Correspondence from H. Metcalf to General Hodsdon

Correspondence from H. Metcalf regarding absent soldiers from Lincoln Count

Correspondence from H. Metcalf to General Hodsdon

Correspondence from H. Metcalf regarding absent soldiers from Lincoln Count