Narrow Results

Trilinos is an object-oriented software framework for the solution of large-scale, complex multi-physics engineering and scientific problems. While Trilinos was originally designed for scalable solutions of large problems, the fidelity needed by many simulations is significantly greater than what one could have envisioned two decades ago. When problem sizes exceed a billion elements even scalable applications and solver stacks require a complete revision. The second-generation Trilinos employs C++ templates in order to solve arbitrarily large problems. We present a case study of the integration of Trilinos with a low Mach fluids engineering application (SIERRA low Mach module/Nalu). Through the use of improved algorithms and better software engineering practices, we demonstrate good weak scaling for up to a nine billion element large eddy simulation (LES) problem on unstructured meshes with a 27 billion row matrix on 524,288 cores of an IBM Blue Gene/Q platform.

A differentiated product is commoditized over time. We investigate the impacts of product commoditization and a change in bargaining power between upstream and downstream firms on the choice between vertical separation and integration. We demonstrate first that vertical separation by the upstream firm dominates vertical integration if and only if the upstream firm’s bargaining power is below a certain threshold. Second, the upstream firm’s gain from vertical separation decreases with its own bargaining power and the degree of product commoditization. Third, however, product commoditization marginally diminishes the loss in the gain from vertical separation due to a higher bargaining power of the upstream firm.

The formal and informal structures of firms and their external linkages have an important bearing on the rate and direction of innovation. This paper explores the properties of different types of firms with respect to the generation of new technology. Various archetypes are recognized and an effort is made to match organization structure to the type of innovation. The framework is relevant to technology and competition policy as it broadens the framework economists use to identify environments that assist innovation.

The formal and informal structures of firms and their external linkages have an important bearing on the rate and direction of innovation. This paper explores the properties of different types of firms with respect to the generation of new technology. Various archetypes are recognized and an effort is made to match organization structure to the type of innovation. The framework is relevant to technology and competition policy as it broadens the framework economists use to identify environments that assist innovation.