Advances in Automatic Differentiation Kartoniert (TB)

The Fifth International Conference on Automatic Differentiation held from August 11 to 15 2008 in Bonn Germany is the most recent one in a series that began in Breckenridge USA in 1991 and continued in Santa Fe USA in 1996 Nice France in 2000 and Chicago USA in 2004. The 31 papers included in these proceedings re?ect the state of the art in automatic differentiation (AD) with respect to theory applications and tool development. Overall 53 authors from institutions in 9 countries contributed demonstrating the worldwide acceptance of AD technology in computational science. Recent ly it was shown that the problem underlying AD is indeed NP-hard f- mally proving the inherently challenging nature of this technology. So most likely no deterministic silver bullet polynomial algorithm can be devised that delivers optimum performance for general codes. In this context the exploitation of doma- speci?c structural information is a driving issue in advancing practical AD tool and algorithm development. This trend is prominently re?ected in many of the pub- cations in this volume not only in a better understanding of the interplay of AD and certain mathematical paradigms but in particular in the use of hierarchical AD approaches that judiciously employ general AD techniques in application-speci?c - gorithmic harnesses. In this context the understanding of structures such as sparsity of derivatives or generalizations of this concept like scarcity plays a critical role in particular for higher derivative computations.