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This book introduces the basic ideas to build discontinuous Galerkin methods and, at the same time, incorporates several recent mathematical developments. The presentation is to a large extent self-contained and is intended for graduate students and researchers in numerical analysis. The material covers a wide range of model problems, both steady and unsteady, elaborating from advection-reaction and diffusion problems up to the Navier-Stokes equations and Friedrichs' systems. Both finite element and finite volume viewpoints are exploited to convey the main ideas underlying the design of the approximation. The analysis is presented in a rigorous mathematical setting where discrete counterparts of the key properties of the continuous problem are identified. The framework encompasses fairly general meshes regarding element shapes and hanging nodes. Salient implementation issues are also addressed.
A portrait of the artist as a young man, an examination of the influence of his hometown
Critical infrastructure provides essential services to citizens. The mutual dependencies of services between systems form a complex “system of systems” with a large perturbation surface, prone to be damaged by natural and anthropic events. Their intrinsic and extrinsic vulnerabilities could be overcome by providing them adaptive properties to allow fast and effective recovery from loss of functionality. Resilience is thus the key issue, and its enhancement, at the systemic level, is a priority goal to be achieved. This volume reviews recent insights into the different domains (resilience-enhancing strategies, impact and threats knowledge, and dependency-related issues) and proposes new strategies for better critical infrastructure protection.
Publisher description
Europe Since 1945: An Encyclopedia is a comprehensive reference work of some 1,700 entries in two volumes. Its scope includes all of Europe and the successor states to the former Soviet Union. The volumes provide a broad coverage of topics, with an emphasis on politics, governments, organizations, people, and events crucial to an understanding of postwar Europe. Also includes 100 maps and photos.
This book brings to life the story of the construction of some of the most outstanding early Renaissance buildings in Venice. Through a series of individual case studies, Richard J. Goy explores how and why great buildings came to be built. He addresses the practical issues of constructing such buildings as the Torre dell’Orologio in Piazza San Marco, the Arsenale Gate, and the churches of Santa Maria della Carita and San Zaccaria, focusing particular attention on the process of patronage. The book is the first to trace the complete process of creating important buildings, from the earliest conception in the minds of the patrons--the Venetian state or other institutional patrons--through the choice of architect, the employment of craftsmen, and the selection of materials. In an interesting analysis of the participants’ roles, Goy highlights the emerging importance of the superintending master, the protomaestro.
Margaret King shows what the death of a little boy named Valerio Marcello over five hundred years ago can tell us about his time. This child, scion of a family of power and privilege at Venice's time of greatness, left his father in a state of despair so profound and so public that it occasioned an outpouring of consoling letters, orations, treatises, and poems. In these documents, we find a firsthand account, richly colored by humanist conventions and expectations, of the life of the fifteenth-century boy, the passionate devotion of his father, the feelings of his brothers and sisters, the striking absence of his mother. The father's story is here as well: the career of a Venetian nobleman ...
Time in the Eternal City: Perceiving and Controlling Time in Late Medieval and Renaissance Rome is a major contribution to the study of time and its numerous aspects in late medieval and Renaissance Rome. The authors offer a versatile view on the variety of ways time could be perceived. Individual chapters concentrate on the grass-root levels of everyday life, on various uses of the past in the present, as well as on the control of time by the ecclesiastical authorities. These studies reveal a wealth of new information that demonstrates the almost endlessly fluid manner in which time could be perceived, as well as the innovative ways in which time could be used by individuals and authorities alike. Contributors are members of Tuomas Heikkilä’s research group at the Finnish Institute in Rome: Holger Kaasik, Urpo Kantola, Marko Halonen, Jasmin Lukkari and Saku Pihko.