On the concept of algorithms by design with illustrations to computational structural mechanics/dynamics

A novel procedure to design time operators under the notion of algorithms by design is formulated with emphasis on application to the broad area of computational mechanics but with focus on structural mechanics/dynamics. The algorithms by design concept capitalizes on: (i) the recently developed unified theory underlying computational algorithms by the authors [Zhou and Tamma, 2004], and (ii) newly established algorithmic measures [Zhou and Tamma, 2005]. The objective is to foster the design of computational algorithms for time dependent problems with improved algorithmic attributes in the sense of accuracy, stability and other characteristics including algorithmic complexity. The design process behind the design of computational algorithms is explained in the sense of the algorithms by design concepts via selected numerical illustrations of practical scenarios.