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  • Advances in Structural and Multidisciplinary Optimization

    Proceedings of the 12th World Congress of Structural and Multidisciplinary Optimization (WCSMO12)

    Collections series Springer Nature Proceedings excluding Computer Science
    The volume includes papers from the WSCMO conference in Braunschweig 2017 presenting research of all aspects of the optimal design of structures as well as multidisciplinary design optimization where the involved disciplines deal with the analysis of solids, fluids or other field problems. Also presented are practical applications of optimization methods and the corresponding software development ... En savoir plus

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    Felix Klein, one of the great nineteenth-century geometers, discovered in mathematics an idea prefigured in Buddhist mythology: the heaven of Indra contained a net of pearls, each of which was reflected in its neighbour, so that the whole Universe was mirrored in each pearl. Klein studied infinitely repeated reflections and was led to forms with multiple coexisting symmetries. For a century, these ... En savoir plus

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  • Canonical Duality Theory

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    Collections series Mathematics and Statistics (R0)
    This book on canonical duality theory provides a comprehensive review of its philosophical origin, physics foundation, and mathematical statements in both finite- and infinite-dimensional spaces. A ground-breaking methodological theory, canonical duality theory can be used for modeling complex systems within a unified framework and for solving a large class of challenging problems in ... En savoir plus

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  • Differentiable Manifolds

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  • An Introduction to Polynomial and Semi-Algebraic Optimization

    Collections Livre 52 - Cambridge Texts in Applied Mathematics
    This is the first comprehensive introduction to the powerful moment approach for solving global optimization problems (and some related problems) described by polynomials (and even semi-algebraic functions). In particular, the author explains how to use relatively recent results from real algebraic geometry to provide a systematic numerical scheme for computing the optimal value and global ... En savoir plus

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  • Fracture Mechanics

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    Collections series Engineering (R0)
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  • Geometry, Topology, and Dynamics in Negative Curvature

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    The ICM 2010 satellite conference 'Geometry, Topology and Dynamics in Negative Curvature' afforded an excellent opportunity to discuss various aspects of this fascinating interdisciplinary subject in which methods and techniques from geometry, topology, and dynamics often interact in novel and interesting ways. Containing ten survey articles written by some of the leading experts in the field, ... En savoir plus

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  • Discrete Optimization in Architecture

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    This book explores the extremely modular systems that meet two criteria: they allow the creation of structurally sound free-form structures, and they are comprised of as few types of modules as possible. Divided into two parts, it presents Pipe-Z (PZ) and Truss-Z (TZ) systems. PZ is more fundamental and forms spatial mathematical knots by assembling one type of unit (PZM). The shape of PZ is ... En savoir plus

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    To facilitate a deeper understanding of tensegrity structures, this book focuses on their two key design problems: self-equilibrium analysis and stability investigation. In particular, high symmetry properties of the structures are extensively utilized. Conditions for self-equilibrium as well as super-stability of tensegrity structures are presented in detail. An analytical method and an efficient ... En savoir plus

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    Optimization of combustion processes in automotive engines is a key factor in reducing fuel consumption in conventional and advanced gasoline and diesel engines. This volume investigates and describes flow and combustion processes in diesel and gasoline engines. It consists of eight chapters written by world experts from industry, government laboratories and academia. Each of the chapters is self ... En savoir plus

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  • Trends in PDE Constrained Optimization

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    Optimization problems subject to constraints governed by partial differential equations (PDEs) are among the most challenging problems in the context of industrial, economical and medical applications. Almost the entire range of problems in this field of research was studied and further explored as part of the Deutsche Forschungsgemeinschaft (DFG) priority program 1253 on “Optimization with ... En savoir plus

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