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Modeling, Mesh Generation, and Adaptive Numerical Methods for Partial Differential Equations
With considerations such as complex-dimensional geometries and nonlinearity, the computational solution of partial differential systems has become so involved that it is important to automate decisions that have been normally left to the individual. This book covers such decisions: 1) mesh generation with links to the software generating the domain geometry, 2) solution accuracy and reliability with mesh selection linked to solution generation. This book is suited for mathematicians, computer scientists and engineers and is intended to encourage interdisciplinary interaction between the diverse groups.
Hans Scharoun, 1893-1972
This text studies the architecture of Hans Scharoun. It provides an analysis of his career until his death in 1972.
Göttinger Jahrbuch
None
Alles Trick
None
Multiple Organ Failure
Inflammation in itself is not to be considered as a disease . . . and in disease, where it can alter the diseased mode of action, it likewise leads to a cure; but where it cannot accomplish that solitary purpose . . . it does mischief - John Hunter, A Treatise on the Blood, ITfIlammation, and Gunshot Woundr (London, 1794)1 As we reached the millennium, we recognized the gap between our scientific knowledge of biologic processes and our more limited clinical capabilities in the care of patients. Our science is strong. Molecular biology is powerful, but our therapy to help patients is weaker and more limited. For this reason, this book focuses on the problems of multiple organ failure (MOF), m...
Embodiments of Power
The period of the baroque (late sixteenth to mid-eighteenth centuries) saw extensive reconfiguration of European cities and their public spaces. Yet, this transformation cannot be limited merely to signifying a style of art, architecture, and decor. Rather, the dynamism, emotionality, and potential for grandeur that were inherent in the baroque style developed in close interaction with the need and desire of post-Reformation Europeans to find visual expression for the new political, confessional, and societal realities. Highly illustrated, this volume examines these complex interrelationships among architecture and art, power, religion, and society from a wide range of viewpoints and localities. From Krakow to Madrid and from Naples to Dresden, cities were reconfigured visually as well as politically and socially. Power, in both its political and architectural guises, had to be negotiated among constituents ranging from monarchs and high churchmen to ordinary citizens. Within this process, both rulers and ruled were transformed: Europe left behind the last vestiges of the medieval and arrived on the threshold of the modern.
Interfaces: Modeling, Analysis, Numerics
These lecture notes are dedicated to the mathematical modelling, analysis and computation of interfaces and free boundary problems appearing in geometry and in various applications, ranging from crystal growth, tumour growth, biological membranes to porous media, two-phase flows, fluid-structure interactions, and shape optimization. We first give an introduction to classical methods from differential geometry and systematically derive the governing equations from physical principles. Then we will analyse parametric approaches to interface evolution problems and derive numerical methods which will be thoroughly analysed. In addition, implicit descriptions of interfaces such as phase field and level set methods will be analysed. Finally, we will discuss numerical methods for complex interface evolutions and will focus on two phase flow problems as an important example of such evolutions.
