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Error Calculus for Finance and Physics
Many recent advances in modelling within the applied sciences and engineering have focused on the increasing importance of sensitivity analyses. For a given physical, financial or environmental model, increased emphasis is now placed on assessing the consequences of changes in model outputs that result from small changes or errors in both the hypotheses and parameters. The approach proposed in this book is entirely new and features two main characteristics. Even when extremely small, errors possess biases and variances. The methods presented here are able, thanks to a specific differential calculus, to provide information about the correlation between errors in different parameters of the mo...
Modelling and implementation of a microscopic traffic simulation system
This thesis presents the foundations, the initial state, and the progress made in modelling and implementing a real-world and real-time online microscopic traffic simulation system for highway traffic. To successfully model and implement such a simulation system, this thesis recommends the use of a number of formal methods applied at the right places. As part of the recommendation, this thesis proposes a microscopic traffic simulation system. To explore the feasibility and the potential of the recommended methods, it observes and examines the proposed system from multiple views and under various different aspects. As part of the examination, this thesis provides a (semi-)formal specification...
Granular Media
Provides the state-of-the-art of the physics of granular media for graduate students and researchers in physics, applied mathematics and engineering.
Material Computation
The production of architecture, both intellectually and physically, is on the brink of a fundamental change. Computational design enables architects to integrate ever more multifaceted and complex design information, while the industrial logics of conventional building construction are eroding rapidly in a context of increasingly ubiquitous computer-controlled manufacturing and fabrication. A novel convergence of computation and materialisation is about to emerge, bringing the virtual process of design and the physical realisation of architecture much closer together, more so than ever before. Computation provides a powerful agency for both informing the design process through specific mater...
Powder and Grains 2001
The topics discussed in this text range from quasi-static problems to dynamic problems, and are divided into 15 groups, such as: cohesion/cracking; wave propagation; and quasi-static behaviour. Each group contains theoretical, experimental and computational approaches by researchers.
Friction, Arching, Contact Dynamics - Proceedings Of The Workshop
This volume contains the proceedings of an interdisciplinary meeting which attracted participants from the fields of physics, engineering, applied mathematics, and geology. The subjects covered range from microscopic theories of friction to large-scale stick-slip motion in earthquakes, with static and dynamic aspects of granular material in between. The main emphasis is on computational aspects, but experiments and basic theoretical concepts are also covered.
