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The story of the exhibition of hunger, emaciated bodies and their enormous impact in the public sphere around 1900.
The purpose of this book is to provide the mathematical foundations of numerical methods, to analyze their basic theoretical properties and to demonstrate their performances on examples and counterexamples. Within any specific class of problems, the most appropriate scientific computing algorithms are reviewed, their theoretical analyses are carried out and the expected results are verified using the MATLAB software environment. Each chapter contains examples, exercises and applications of the theory discussed to the solution of real-life problems. While addressed to senior undergraduates and graduates in engineering, mathematics, physics and computer sciences, this text is also valuable for researchers and users of scientific computing in a large variety of professional fields.
ForewordThe human eye offers the extraordinary possibility to visualize and monitor non-invasively, in vivo, in humans, many morphological and haemodynamical features. Therefore, a large amount of data on ocular structures and macro- and micro-circulation can be obtained in a clinical setting during a patient's visit. However, the interpretation of these data remains a very challenging task, since the understanding of the physiology, bio-mechanics and fluid-dynamics of the human eye remains scarce. This unmet gap between the availability of imaging data and their elusive clinical interpretatio...
This document is based on my lecture notes for the Fall 2014, University of Toronto Modeling of Multiphysics course (ECE1254H), taught by Professor P. Triverio. Official course description: “The course deals with the modeling and simulation of physical systems. It introduces the fundamental techniques to generate and solve the equations of a static or dynamic system. Special attention is devoted to complexity issues and to model order reduction methods, presented as a systematic way to simulate highly-complex systems with acceptable computational cost. Examples from multiple disciplines are considered, including electrical/electromagnetic engineering, structural mechanics, fluid-dynamics. ...
A Theoretical Introduction to Numerical Analysis presents the general methodology and principles of numerical analysis, illustrating these concepts using numerical methods from real analysis, linear algebra, and differential equations. The book focuses on how to efficiently represent mathematical models for computer-based study. An accessible yet rigorous mathematical introduction, this book provides a pedagogical account of the fundamentals of numerical analysis. The authors thoroughly explain basic concepts, such as discretization, error, efficiency, complexity, numerical stability, consistency, and convergence. The text also addresses more complex topics like intrinsic error limits and th...
Mathematics forms bridges between knowledge, tradition, and contemporary life. The continuous development and growth of its many branches, both classical and modern, permeates and fertilizes all aspects of applied science and technology, and so has a vital impact on our modern society. The book will focus on these aspects and will benefit from the contribution of several world-famous scientists from mathematics and related sciences, such as: Ralph Abraham, Andrew Crumey, Peter Markowich, Claudio Procesi, Clive Ruggles, Ismail Serageldin, Amin Shokrollahi, Tobias Wallisser.
Lower extremity fractures and deformities in children and adolescents are a heterogeneous group of conditions caused by a variety of diseases, ranging from the hip joint to the foot. While some are caused by known trauma, others may be a consequence of developmental disorders or mutations in various genes. The presenting symptoms and signs may vary from cosmetic findings to the dysfunction of the limb, except fractures. Despite advances in diagnosis and treatment, there is still a lack of understanding of the etiology and pathogenesis of many of these conditions. Furthermore, there are ongoing challenges in the diagnosis and treatment of rare or complex fractures and deformities of the lower extremity. To address these challenges, the present Research Topic aims to call for manuscripts describing unique cases with follow-up and treatment, as well as studies examining the outcome and prognosis. This will increase awareness of these conditions and lead to improved diagnosis and treatment for children and adolescents.
One of the major challenges in tissue engineering is the translation of biological knowledge on complex cell and tissue behavior into a predictive and robust engineering process. Mastering this complexity is an essential step towards clinical applications of tissue engineering. This volume discusses computational modeling tools that allow studying the biological complexity in a more quantitative way. More specifically, computational tools can help in: (i) quantifying and optimizing the tissue engineering product, e.g. by adapting scaffold design to optimize micro-environmental signals or by adapting selection criteria to improve homogeneity of the selected cell population; (ii) quantifying a...
This book explains the state-of-the-art algorithms used to simulate biological dynamics. Each technique is theoretically introduced and applied to a set of modeling cases. Starting from basic simulation algorithms, the book also introduces more advanced techniques that support delays, diffusion in space, or that are based on hybrid simulation strategies. This is a valuable self-contained resource for graduate students and practitioners in computer science, biology and bioinformatics. An appendix covers the mathematical background, and the authors include further reading sections in each chapter.
This book presents the proceedings of the 4th International Workshop "Scientific Computing in Electrical Engineering", held in Eindhoven, The Netherlands, from June 23-28, 2002. This workshop followed three earlier workshops held in 1997 at the Darmstadt University of Technology, in 1998 at the Weierstrass Institute for Applied Analysis and Stochastics, and in 2000 at the University of Rostock. The main topics of SCEE-2002 were computational electrodynamics, circuit simulation and coupled problems. The objective of the workshop, which was mainly directed at mathematicians and electrical engineers, was to bring together scientists from universities and industry with the goal of intensive discussions about modelling and numerical simulation of electronic circuits and electromagnetic fields. A special feature was the "Industry Day", where distinguished speakers discussed the needs of industry in the field of computational electromagnetics and circuit simulation. The book contains papers of invited and contributed talks, as well as from poster presentations.