One of the most dynamic domains of materials science is the integral m
odeling and simulation oi metallic materials. Integral approaches cons
ist of the coupling oi computer codes to bridge scale discrepancies am
ong different microstructure levels. Two approaches deserve particular
attention in this context, namely, simultaneous (synchronous, direct)
integration methods, where interacting simulation levels are simultan
eously considered in one computer experiment, and sequential (non-sync
hronous, indirect) integration methods, which consist of an appropriat
e transfer of parameters among calculations that are used sequentially
. Another way to classify the recent developments in the field of inte
gral modeling and simulation is the distinction between the methods wh
ich are discrete both at the macro- and at the micro-level and methods
which are discrete at the macrolevel but statistical at the microleve
l.