Mathematics is playing an ever more important role in the physical and biologi- cal sciences, provoking a blurring of boundaries between scientific disciplines and a resurgence of interest in the modern as well as the classical techniques of applied mathematics. This renewal of interest, both in research and teaching, has led to the establishment of the series Texts in Applied Mathematics (TAM). The development of new courses is a natural consequence of a high level of excitement on the research frontier as newer techniques, such as numerical and symbolic computer systems, dynamical systems,...

The proceedings of a satellite conference of the 1998 International Mathematical Congress. In it, leading specialists on partial differential equations, calculus of variations, and numerical analysis present results, applications, and advances in numerical methods in these fields. Conference organizers chose the contributors to bring together the scientists best able to present a complex view of problems, starting from the modelling, passing through the mathematical treatment, and ending with numerical realization. The applications discussed include fluid dynamics, semiconductor technology,...

The state of the art in supercomputing is summarized in this volume. The book presents selected results of the projects of the High Performance Computing Center Stuttgart (HLRS) for the year 2001. Together these contributions provide an overview of recent developments in high performance computing and simulation. Reflecting the close cooperation of the HLRS with industry, special emphasis has been put on the industrial relevance of the presented results and methods. The book therefore becomes a collection of showcases for an innovative usage of state-of-the-art modeling, novel numerical...

The book summarizes the results of the projects of the High Performance Computing Center Stuttgart (HLRS) for the year 2000. The most significant contributions have been selected in a scientific review process. Together they provide an overview of recent developments in high performance computing and simulation. Reflecting the close cooperation of the HLRS with industry, special emphasis has been put on the industrial relevance of the presented results and methods. The book therefore becomes a collection of showcases for an innovative combination of the state-of-the-art modeling, novel...

This volume contains a selection of papers presented at the work- shop "Modelling of Patterns in Space and Time", organized by the 80nderforschungsbereich 123, "8tochastische Mathematische Modelle", in Heidelberg, July 4-8, 1983. The main aim of this workshop was to bring together physicists, chemists, biologists and mathematicians for an exchange of ideas and results in modelling patterns. Since the mathe- matical problems arising depend only partially on the particular field of applications the interdisciplinary cooperation proved very useful. The workshop mainly treated phenomena showing...

These Proceedings have been assembled from papers presented at the Conference on Models of Biological Growth and Spread, held at the German Cancer Research Centre Heidelberg and at the Institute of Applied Mathematics of the University of Heidelberg, July 16-21, 1979. The main theme of the conference was the mathematical representation of biolog- ical populations with an underlying spatial structure. An important feature of such populations is that they and/or their individual com- ponents may interact with each other. Such interactions may be due to external disturbances, internal regulatory...

The book contains reports about the most significant projects from science and industry that are using the supercomputers of the Federal High Performance Computing Center Stuttgart (HLRS). These projects are from different scientific disciplines, with a focus on engineering, physics and chemistry. They were carefully selected in a peer-review process and are showcases for an innovative combination of state-of-the-art physical modeling, novel algorithms and the use of leading-edge parallel computer technology. As HLRS is in close cooperation with industrial companies, special emphasis has been...

An overview of recent developments in high performance computing and simulation, with special emphasis on the industrial relevance of the presented results and methods. The book showcases an innovative combination of the state-of-the-art modeling, novel numerical algorithms and the use of leading-edge high-performance computing systems.

Prof. Dr. Egon Krause Aerodynamisches Institut, RWTH Aachen Wiillnerstr. 5 u. 7, D-52062 Aachen Prof. Dr. Willi Jager Interdisziplinares Zentrum fiir Wissenschaftliches Rechnen Universitat Heidelberg 1m Neuenheimer Feld 368, D-69120 Heidelberg High Performance Computing is progressing as a discipline providing im portant tools for research and development in science and industry. The High Performance Computing Center Stuttgart (HLRS) is not only providing the facilities, hard- and software for a growing community of researchers and developers, but it also promotes the know-how to use...