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Approximation of Large-Scale Dynamical Systems
Mathematical models are used to simulate, and sometimes control, the behavior of physical and artificial processes such as the weather and very large-scale integration (VLSI) circuits. The increasing need for accuracy has led to the development of highly complex models. However, in the presence of limited computational accuracy and storage capabilities model reduction (system approximation) is often necessary. Approximation of Large-Scale Dynamical Systems provides a comprehensive picture of model reduction, combining system theory with numerical linear algebra and computational considerations. It addresses the issue of model reduction and the resulting trade-offs between accuracy and complexity. Special attention is given to numerical aspects, simulation questions, and practical applications.
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Efficient Modeling and Control of Large-Scale Systems
Complexity and dynamic order of controlled engineering systems is constantly increasing. Complex large scale systems (where "large" reflects the system’s order and not necessarily its physical size) appear in many engineering fields, such as micro-electromechanics, manufacturing, aerospace, civil engineering and power engineering. Modeling of these systems often result in very high-order models imposing great challenges to the analysis, design and control problems. "Efficient Modeling and Control of Large-Scale Systems" compiles state-of-the-art contributions on recent analytical and computational methods for addressing model reduction, performance analysis and feedback control design for ...
Code Generation — Concepts, Tools, Techniques
Code Generation - Concepts, Tools, Techniques is based upon the proceedings of the Dagstuhl workshop on code generation which took place from 20-24 May 1991. The aim of the workshop was to evaluate current methods of code generation and to indicate the main directions which future research is likely to take. It provided an excellent forum for the exchange of ideas and had the added advantage of bringing together European and American experts who were unlikely to meet at less specialised gatherings. This volume contains 14 of the 30 papers presented at the Dagstuhl workshop. The papers deal mainly with the following four topics: tools and techniques for code generation, code generation for pa...
Matrix Computations
A comprehensive treatment of numerical linear algebra from the standpoint of both theory and practice. The fourth edition of Gene H. Golub and Charles F. Van Loan's classic is an essential reference for computational scientists and engineers in addition to researchers in the numerical linear algebra community. Anyone whose work requires the solution to a matrix problem and an appreciation of its mathematical properties will find this book to be an indispensible tool. This revision is a cover-to-cover expansion and renovation of the third edition. It now includes an introduction to tensor computations and brand new sections on • fast transforms • parallel LU • discrete Poisson solvers • pseudospectra • structured linear equation problems • structured eigenvalue problems • large-scale SVD methods • polynomial eigenvalue problems Matrix Computations is packed with challenging problems, insightful derivations, and pointers to the literature—everything needed to become a matrix-savvy developer of numerical methods and software. The second most cited math book of 2012 according to MathSciNet, the book has placed in the top 10 for since 2005.
Model Reduction and Approximation
Many physical, chemical, biomedical, and technical processes can be described by partial differential equations or dynamical systems. In spite of increasing computational capacities, many problems are of such high complexity that they are solvable only with severe simplifications, and the design of efficient numerical schemes remains a central research challenge. This book presents a tutorial introduction to recent developments in mathematical methods for model reduction and approximation of complex systems. Model Reduction and Approximation: Theory and Algorithms contains three parts that cover (I) sampling-based methods, such as the reduced basis method and proper orthogonal decomposition,...
Signal Processing in Telecommunications
It is probably an overstatement to say that the discipline of telecommunication systems is becoming an application of digital signal processing (DSP). However, there is no doubt that by the mid-I980s integrated circuit technology has advanced to such an extent that revolutionary advances in telecommunications are fostered by the introduction of new and poweiful DSP algorithms. Actually, DSP has been recently playing a major role in the development of telecommuni cations systems: to name just one of the most widespread applications where this interaction has been most effective, we may mention the use of intelligent DSP to improve the peiformance of transmission systems by allowing sophistica...
Safety Culture
In Safety Culture: Building and Sustaining a Cultural Change in Aviation and Healthcare, the four authors draw upon their extensive teaching, research and field experience from multiple industries to describe the dynamic nature of a culture-change process, particularly in safety-critical domains. They use a stories to numbers approach that starts with felt experiences and stories of certain change programs that they have documented, then proceed to describe the use of key measurement tools that can be used to analyze the state of a change program. The book concludes with a description of empirical models that illustrate the dynamic nature of change programs.
Static Analysis
The refereed proceedings of the 10th International Symposium on Static Analysis, SAS 2003, held in San Diego, CA, USA in June 2003 as part of FCRC 2003. The 25 revised full papers presented together with two invited contributions were carefully reviewed and selected from 82 submissions. The papers are organized in topical sections on static analysis of object-oriented languages, static analysis of concurrent languages, static analysis of functional languages, static analysis of procedural languages, static data analysis, static linear relation analysis, static analysis based program transformation, and static heap analysis.
