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Bits and Bugs
In scientific computing (also known as computational science), advanced computing capabilities are used to solve complex problems. This self-contained book describes and analyzes reported software failures related to the major topics within scientific computing: mathematical modeling of phenomena; numerical analysis (number representation, rounding, conditioning); mathematical aspects and complexity of algorithms, systems, or software; concurrent computing (parallelization, scheduling, synchronization); and numerical data (such as input of data and design of control logic). Readers will find lists of related, interesting bugs, MATLAB examples, and ?excursions? that provide necessary background, as well as an in-depth analysis of various aspects of the selected bugs. Illustrative examples of numerical principles such as machine numbers, rounding errors, condition numbers, and complexity are also included.
Advances in Collective Decision Making
This book presents research on recent developments in collective decision-making. With contributions from leading scholars from a variety of disciplines, it provides an up-to-date overview of applications in social choice theory, welfare economics, and industrial organization. The contributions address, amongst others, topics such as measuring power, the manipulability of collective decisions, and experimental approaches. Applications range from analysis of the complicated institutional rules of the European Union to responsibility-based allocation of cartel damages or the design of webpage rankings. With its interdisciplinary focus, the book seeks to bridge the gap between different disciplinary approaches by pointing to open questions that can only be resolved through collaborative efforts.
Dynamical Systems, Number Theory and Applications
"This volume consists of a selection of research-type articles on dynamical systems, evolution equations, analytic number theory and closely related topics. A strong emphasis is on a fair balance between theoretical and more applied work, thus spanning the chasm between abstract insight and actual application. Several of the articles are expected to be in the intersection of dynamical systems theory and number theory. One article will likely relate the topics presented to the academic achievements and interests of Prof. Leutbecher and shed light on common threads among all the contributions."--
Photonic Wire Bonding as a Novel Technology for Photonic Chip Interfaces
To create photonic multi-chip modules, integrated photonic chips need to be connected internally and to external glass fibers. A novel approach to address this task is the concept of photonic wire bonding, where free-standing polymer waveguides are printed in-situ by two-photon polymerization. This book contains a detailed description of the methodology of photonic wire bonding together with a number of key experiments.
Random Ordinary Differential Equations and Their Numerical Solution
This book is intended to make recent results on the derivation of higher order numerical schemes for random ordinary differential equations (RODEs) available to a broader readership, and to familiarize readers with RODEs themselves as well as the closely associated theory of random dynamical systems. In addition, it demonstrates how RODEs are being used in the biological sciences, where non-Gaussian and bounded noise are often more realistic than the Gaussian white noise in stochastic differential equations (SODEs). RODEs are used in many important applications and play a fundamental role in the theory of random dynamical systems. They can be analyzed pathwise with deterministic calculus, bu...
Numerical Analysis and Optimization
Presenting the latest findings in the field of numerical analysis and optimization, this volume balances pure research with practical applications of the subject. Accompanied by detailed tables, figures, and examinations of useful software tools, this volume will equip the reader to perform detailed and layered analysis of complex datasets. Many real-world complex problems can be formulated as optimization tasks. Such problems can be characterized as large scale, unconstrained, constrained, non-convex, non-differentiable, and discontinuous, and therefore require adequate computational methods, algorithms, and software tools. These same tools are often employed by researchers working in curre...
Scissors and Rock
This book introduces readers to basic game theory as a tool to deal with strategic decision problems, helping them to understand the complexity of such problems – to extract a solution, if possible – and to manage the complexity by revising the game if appropriate. The authors discuss basic decision situations modeled as Prisoners’ Dilemma, Chicken Game, and Stag Hunt Game, as well as concepts like the Nash equilibrium, Trembling Hand Perfectness, Rationalizable Strategies and the Theory of Moves to introduce game theoretic thinking. Further, the book presents pioneers of strategic thinking, e.g., Sun Tzu, Machiavelli, Adam Smith, and Goethe, and includes cases of conflict and cooperation to illustrate practical applications. Readers learn to apply game theory in business and in daily life – to manage their decision problems and to better understand the decision problems of others.
Hot Embossing
The second edition of Hot Embossing: Theory of Microreplication will present the current state of the art in microreplication with a focus on hot embossing, nanoimprint, thermoforming, and roll-to-roll replication. Polymer processing, the theory of polymers and the processing of polymers are discussed in detail. Aspects of process simulation and the corresponding material models are also covered. The book contains in-depth analysis of processing processes and replication techniques including mold fabrication. Monitoring, data analysis and reliability of molded parts is also discussed. In the Second Edition new processes are included, including the process of micro- and nanothermoforming to g...
High-Speed, Low-Power and Mid-IR Silicon Photonics Applications
In this book, the first high-speed silicon-organic hybrid (SOH) modulator is demonstrated by exploiting a highly-nonlinear polymer cladding and a silicon waveguide. By using a liquid crystal cladding instead, an ultra-low power phase shifter is obtained. A third type of device is proposed for achieving three-wave mixing on the silicon-organic hybrid (SOH) platform. Finally, new physical constants which describe the optical absorption in charge accumulation/inversion layers in silicon are determined.
