This volume contains the proceedings of the workshop on Optimization Theory and Related Topics, held in memory of Dan Butnariu, from January 11-14, 2010, in Haifa, Israel. An active researcher in various fields of applied mathematics, Butnariu published over 80 papers. His extensive bibliography is included in this volume. The articles in this volume cover many different areas of Optimization Theory and its applications: maximal monotone operators, sensitivity estimates via Lyapunov functions, inverse Newton transforms, infinite-horizon Pontryagin principles, singular optimal control problems with state delays, descent methods for mixed variational inequalities, games on MV-algebras, ergodic convergence in subgradient optimization, applications to economics and technology planning, the exact penalty property in constrained optimization, nonsmooth inverse problems, Bregman distances, retraction methods in Banach spaces, and iterative methods for solving equilibrium problems. This volume will be of interest to both graduate students and research mathematicians.
Algorithms known as "particle" methods, whose characteristic feature is the discretization technique when the set of discrete objects is introduced, which are model "particles" considered as some mesh of moving nodes, are becoming more and more widespread in mathematical modelling. Until recently, particle methods have mainly been developed as an alternative to classical numerical methods for solving problems in some applied domains of physics and mathematics. As a result, no specialized monographs on this subject have been available.
Optimization techniques offer immense potential for the improvement of performance-driven design, since they allow the adoption of an holistic approach. This can lead to great advantages: optimal design solutions can be properly identified only if all criteria are considered at the same time, rather than separately. There are two barriers which obstruct optimization from being applied to building design: a technological barrier (applying the algorithms is not easy and can be quite time-consuming) and a cultural one (architects and engineers are required to change their perspectives as the design process has to be handled in a new way). This book explores these barriers from the perspective of both engineers and architects, and proposes a change in the attitudes of these two "actors": an engineer and an architect develop a dialog which helps them understand each other's perspective; in this way they find how they must both make a step forward.
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