Heinz J. Hoffmann Libri

Differential equations, both partial and ordinary, are essential for modeling real-world application problems. To influence these systems effectively, optimizing discretized models is crucial. This volume features selected papers from the International Workshop on "Fast Solution of Discretized Optimization Problems," held at the Weierstrass Institute for Applied Analysis and Stochastics in Berlin from May 8 to May 12, 2000. The workshop gathered 59 scientists from 10 countries and included 8 invited lectures and 28 contributed talks. Notable speakers included H. G. Bock, M. Heinkenschloss, K. Kunisch, U. Langer, B. Mohammadi, J. Petersson, E. Sachs, and F. Troltzsch. The workshop aimed to bridge the gap between the disciplines of nonlinear optimization and numerical methods for differential equations, which is essential for addressing current optimization challenges in practical applications such as shape and topology optimization. The organizing committee and speakers represented both fields to enhance collaboration and idea exchange, fostering advancements in solving complex optimization problems.

The 4th caesarium brought together world known experts reporting the state-of-the-art of Functional Micro-and Nanosystems. Its purpose was to identify and open up new research directions in this rapidly evolving new area and to discuss the potential with respect to applications in automotive, biochemical and information technology. Thin film technologies are an attractive approach to incorporate functional properties into micro- or nano-systems. The continuing development towards smaller structures is driven by the use of higher driving frequencies and thus smaller wavelengths, the growing integration of different functions, the higher degree of parallelism, and size requirements for the detection of bio-molecules. Hence this new technology opens up new possibilities in terms of high frequency wireless data transmission over long distances, sensors showing high spatial and time resolution and new devices to process biological, optical and electrical signals.

This volume features contributions from the conference "Optimal Control of Partial Differential Equations," held at the Mathematisches Forschungsinstitut Oberwolfach from May 18 to May 24, 1986. The diverse topics presented highlight the challenges in developing a unifying control theory for partial differential equations. However, there is a notable focus on practical applications, including optimal cooling laws for rolled steel production and optimal shape design in mechanics and hydrodynamics. Another significant area addressed is the development of numerical methods, encompassing the finite element method and Quasi-Newton methods for both constrained and unconstrained control problems. The volume also delves into complex issues related to free boundary value problems. Additionally, several contributions illustrate how practical challenges can drive advancements in theory, particularly in suboptimal control, necessary optimality conditions, and sensitivity analysis. The conference fostered engaging discussions in the welcoming environment of the Mathematisches Forschungsinstitut Oberwolfach, with participants expressing gratitude to the Director and staff for their support.

Larvae of the neotropical frog family Centrolenidae live hidden on the bottom of rivers between stones, gravel, and leaf litter. Their lotic fossorial behavior makes it impossible to find and study these tadpoles in their natural environment. Therefore, presently only poor reports and descriptions of them are available in the literature. In the present study all known 13 Costa Rican centrolenid species (or taxa) were reared under laboratory conditions. Their live tadpoles are described in different stages of their development. Six of the 13 descriptions are new (Cochranella euknemos, Sachatamia albomaculata, Sachatamia ilex, Hyalinobatrachium chirripoi, Hyalinobatrachium talamancae and Hyalinobatrachium vireovittatum). A species key and detailed diagnostic descriptions with abundant illustrations allow the identification of tadpoles of the thirteen species.

Coupling of biological and electronic systems' will be a particular fruitful scientific area in the future. This book presents some of the most promising projects in the field, covering research on a broad spectrum of relevant topics from biomolecules up to sense organs.

Interest in the area of control of systems defined by partial differential Equations has increased strongly in recent years. A major reason has been the requirement of these systems for sensible continuum mechanical modelling and optimization or control techniques which account for typical physical phenomena. Particular examples of problems on which substantial progress has been made are the control and stabilization of mechatronic structures, the control of growth of thin films and crystals, the control of Laser and semi-conductor devices, and shape optimization problems for turbomachine blades, shells, smart materials and microdiffractive optics. This volume contains original articles by world reknowned experts in the fields of optimal control of partial differential equations, shape optimization, numerical methods for partial differential equations and fluid dynamics, all of whom have contributed to the analysis and solution of many of the problems discussed. The collection provides a state-of-the-art overview of the most challenging and exciting recent developments in the field. It is geared towards postgraduate students and researchers dealing with the theoretical and practical aspects of a wide variety of high technology problems in applied mathematics, fluid control, optimal design, and computer modelling.

The book contains lectures presented during the meeting „1st caesarium“ held on the topic „Smart Materials“ 1999 in Bonn. Recent results in theory and engineering of smart materials were discussed. Special emphasis was put on thin film technology and its role in sensor and actuator applications. This book will be of particular interest to physicists, engineers and mathematicians working in academia as well as in industry on the field of new materials with special interest in finding intelligent solutions of complex technological problems.

This monograph compiles, rearranges, and refines recent research results in the complex G-L theory with or without immediate applications to the theory of superconductivity. An authoritative reference for applied mathematicians, theoretical physicists and engineers interested in the quantitative description of superconductivity using Ginzburg-Landau theory.

Chemie und Physik von Makromolekülsystemen sind das Forschungsgebiet einer interdisziplinär zusammengesetzten Gruppe von Wissenschaftlern, deren Grundlagenforschung die Deutsche Forschungsgemeinschaft (DFG) von 1984 bis 1995 finanziell unterstützte. Untersucht wurden u. a. die photoelektrischen, thermalen, optischen und magnetischen Eigenschaften von makromolekularen Feststoffen (Polymeren und Polymerkristallen), Flüssigkristallen und Biopolymeren.