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Modeling the Interplay Between Human Behavior and the Spread of Infectious Diseases
by Alberto D'Onofrio Piero ManfrediThis volume summarizes the state-of-the-art in the fast growing research area of modeling the influence of information-driven human behavior on the spread and control of infectious diseases. In particular, it features the two main and inter-related "core" topics: behavioral changes in response to global threats, for example, pandemic influenza, and the pseudo-rational opposition to vaccines. In order to make realistic predictions, modelers need to go beyond classical mathematical epidemiology to take these dynamic effects into account. With contributions from experts in this field, the book fills a void in the literature. It goes beyond classical texts, yet preserves the rationale of many of them by sticking to the underlying biology without compromising on scientific rigor. Epidemiologists, theoretical biologists, biophysicists, applied mathematicians, and PhD students will benefit from this book. However, it is also written for Public Health professionals interested in understanding models, and to advanced undergraduate students, since it only requires a working knowledge of mathematical epidemiology.
Modeling to Inform Infectious Disease Control
by Niels G. BeckerEffectively Assess Intervention Options for Controlling Infectious DiseasesOur experiences with the human immunodeficiency virus (HIV), severe acute respiratory syndrome (SARS), and Ebola virus disease (EVD) remind us of the continuing need to be vigilant against the emergence of new infectious diseases. Mathematical modeling is increasingly used i
Modeling with Mathematics: A Bridge to Algebra II
by Sharon Benson Roland Cheyney David Eschberger Jo Ann WheelerAn innovative course that offers students an exciting new perspective on mathematics,Modeling With Mathematicsexplores how mathematics can help explore problems real people encounter in their jobs and lives. Mathematical modeling and a data-driven approach to exploring functions helps students deepen their mathematical skills and maturity. Modeling With Mathematics: A Bridge To Algebra IIhas been designed for students who have completed Algebra I or Algebra I and Geometry but need review practice and motivation to succeed in Algebra II. In addition the course gives students a look ahead to many Algebra II topics. Modeling With Mathematics: A Bridge To Algebra II list serv http://www. whfreeman. com/bridgelistserv. pdf As a service to instructors usingModeling With Mathematics: A Bridge To Algebra II, a listserv has been designed as a forum to share ideas, ask questions and learn new ways to enhance the learning experience for their students.
Modeling with Mathematics: A Bridge to Algebra II
by Sharon Benson Roland Cheyney David Eschberger Jo Ann WheelerAn innovative course that offers students an exciting new perspective on mathematics, Modeling With Mathematics explores how mathematics can help explore problems real people encounter in their jobs and lives. Mathematical modeling and a data-driven approach to exploring functions helps students deepen their mathematical skills and maturity. Modeling With Mathematics: A Bridge To Algebra II has been designed for students who have completed Algebra I or Algebra I and Geometry but need review practice and motivation to succeed in Algebra II.
Modeling with Mathematics: A Bridge to Algebra II
by Nancy Crisler Gary SimundzaWith the emphasis the Common Core State Standards (CCSS) places on modeling, Modeling With Mathematics: A Bridge to Algebra II (Bridge 2e) addresses these modeling requirements while helping prepare students for success in Algebra II. Intended for students who have taken Algebra I and Geometry but who are not yet ready for Algebra II, this program helps solidify their understanding by providing a different kind of learning experience. With Bridge 2e students model real-world applications with a functions approach netting a deeper grasp of the important concepts necessary for success in Algebra II and on the forthcoming Common Core assessments.
Modeling with Nonsmooth Dynamics (Frontiers in Applied Dynamical Systems: Reviews and Tutorials #7)
by Mike R. JeffreyThis volume looks at the study of dynamical systems with discontinuities. Discontinuities arise when systems are subject to switches, decisions, or other abrupt changes in their underlying properties that require a ‘non-smooth’ definition. A review of current ideas and introduction to key methods is given, with a view to opening discussion of a major open problem in our fundamental understanding of what nonsmooth models are. What does a nonsmooth model represent: an approximation, a toy model, a sophisticated qualitative capturing of empirical law, or a mere abstraction? Tackling this question means confronting rarely discussed indeterminacies and ambiguities in how we define, simulate, and solve nonsmooth models. The author illustrates these with simple examples based on genetic regulation and investment games, and proposes precise mathematical tools to tackle them.The volume is aimed at students and researchers who have some experience of dynamical systems, whether as a modelling tool or studying theoretically. Pointing to a range of theoretical and applied literature, the author introduces the key ideas needed to tackle nonsmooth models, but also shows the gaps in understanding that all researchers should be bearing in mind.Mike Jeffrey is a researcher and lecturer at the University of Bristol with a background in mathematical physics, specializing in dynamics, singularities, and asymptotics.
Modeling with Stochastic Programming (Springer Series in Operations Research and Financial Engineering)
by Alan J. King Stein W. WallaceThis is an updated version of what is still the only text to address basic questions about how to model uncertainty in mathematical programming, including how to reformulate a deterministic model so that it can be analyzed in a stochastic setting. This second edition has important extensions regarding how to represent random phenomena in the models (also called scenario generation) as well as a new chapter on multi-stage models. This text would be suitable as a stand-alone or supplement for a second course in OR/MS or in optimization-oriented engineering disciplines where the instructor wants to explain where models come from and what the fundamental modeling issues are. The book is easy-to-read, highly illustrated with lots of examples and discussions. It will be suitable for graduate students and researchers working in operations research, mathematics, engineering and related departments where there is interest in learning how to model uncertainty. Alan King is a Research Staff Member at IBM's Thomas J. Watson Research Center in New York. Stein W. Wallace is a Professor of Operational Research and head of Center for Shipping and Logistics at NHH Norwegian School of Economics, Bergen, Norway.
Modeling, Analysis and Simulations of Multiscale Transport Phenomena: ICMASMTP 2022, Kharagpur, India, August 25–27 (Springer Proceedings in Mathematics & Statistics #491)
by Somnath Bhattacharyya Hari Shankar MahatoThis volume contains selected chapters on topics presented at the International Conference on Modeling, Analysis and Simulations of Multiscale Transport Phenomena (ICMASMTP 2022), held at the Department of Mathematics, Indian Institute of Technology Kharagpur, West Bengal, India, from 22–25 August 2022. It contains chapters on applications of FLOW THROUGH POROUS MEDIA, diffusion–reaction equations, fluid dynamics, multi-scale analysis, electrokinetic transport processes, microfluidics modelling, numerical analysis, and related topics. Contributors are academicians, experts and researchers in various disciplines of applied mathematics, numerical analysis and scientific computation, having applications in physics, engineering, chemistry, biology and medical science.
Modeling, Analysis, Control and Removal of Oil and Hydrocarbon Spills (Earth and Environmental Sciences Library)
by Tatiana ChaplinaA large number of scientific works are devoted to the study and modeling of accidental oil spills. However, there is no single approach to the description of processes and a generally accepted system of models. An additional fundamental difficulty is the impossibility of conducting full-fledged full-scale experimental studies, which makes it difficult to verify the adequacy and accuracy of oil spill models. Our book is devoted to the problems of experimental investigation and theoretical description of spills, as well as the practical removal of various petroleum products from the water surface and ice. It provides an overview of the most well-known theoretical models of the process of spreading oil stains on the water surface. Also, in the relevant sections, an original spreading model based on an energy approach is proposed and analyzed. The results of new experimental studies of the dynamics of the process for various hydrocarbons on water, including variations in its temperatureand salinity, are presented. In the following chapters, a theoretical description of oil spreading on the upper and lower surfaces of floating ice is proposed, modeling phenomena in the Arctic and subarctic zones of the world ocean. New experimental data on the spreading of petroleum products on the ice surface are presented. The final part provides a brief overview of the existing most used and promising methods for removing of hydrocarbons from the water surface. New original constructive solutions to this problem are proposed, the technical characteristics of which have received theoretical justification and experimental confirmation.
Modeling, Dynamics, Optimization and Bioeconomics III: Contributions From Dgs Iii And The 7th Bioeconomy Conference 2014 (Springer Proceedings in Mathematics & Statistics #195)
by David Zilberman Alberto A. PintoThe research and review papers presented in this volume provide an overview of the main issues, findings, and open questions in cutting-edge research on the fields of modeling, optimization and dynamics and their applications to biology, economics, energy, finance, industry, physics and psychology. Given the scientific relevance of the innovative applications and emerging issues they address, the contributions to this volume, written by some of the world’s leading experts in mathematics, economics and other applied sciences, will be seminal to future research developments and will spark future works and collaborations. The majority of the papers presented in this volume were written by participants of the 4th International Conference on Dynamics, Games and Science: Decision Models in a Complex Economy (DGS IV), held at the National Distance Education University (UNED) in Madrid, Spain in June 2016 and of the 8th Berkeley Bioeconomy Conference: The Future of Biofuels, held at the UC Berkeley Alumni House in April 2015.
Modeling, Dynamics, Optimization and Bioeconomics IV: DGS VI JOLATE, Madrid, Spain, May 2018, and ICABR, Berkeley, USA, May–June 2017—Selected Contributions (Springer Proceedings in Mathematics & Statistics #365)
by David Zilberman Alberto PintoThis book, following the three published volumes of the book, provides the main purpose to collect research papers and review papers to provide an overview of the main issues, results, and open questions in the cutting-edge research on the fields of modeling, optimization, and dynamics and their applications to biology, economy, energy, industry, physics, psychology and finance. Assuming the scientific relevance of the presenting innovative applications as well as merging issues in these areas, the purpose of this book is to collect papers of the world experts in mathematics, economics, and other applied sciences that is seminal to the future research developments. The majority of the papers presented in this book is authored by the participants in The Joint Meeting 6th International Conference on Dynamics, Games, and Science – DGSVI – JOLATE and in the 21st ICABR Conference. The scientific scope of the conferences is focused on the fields of modeling, optimization, and dynamics and their applications to biology, economy, energy, industry, physics, psychology, and finance. Assuming the scientific relevance of the presenting innovative applications as well as merging issues in these areas, the purpose of the conference is to bring together some of the world experts in mathematics, economics, and other applied sciences that reinforce ongoing projects and establish future works and collaborations.
Modeling, Functions, and Graphs: Algebra for College Students
by Katherine Yoshiwara Bruce YoshiwaraThe Fourth Edition of Yoshiwara and Yoshiwara's MODELING, FUNCTIONS, AND GRAPHS: ALGEBRA FOR COLLEGE STUDENTS includes content found in a typical algebra course, along with introductions to curve-fitting and display of data. Yoshiwara and Yoshiwara focus on three core themes throughout their textbook: Modeling, Functions, and Graphs. In their work of modeling and functions, the authors utilize the Rule of Four, which is that all problems should be considered using algebraic, numerical, graphical, and verbal methods. The authors motivate students to acquire the skills and techniques of algebra by placing them in the context of simple applications that use real-life data.
Modeling, Simulation and Optimization in the Health- and Energy-Sector (SEMA SIMAI Springer Series #14)
by Axel Klar Nicolas R. Gauger René PinnauThis volume is addressed to people who are interested in modern mathematical solutions for real life applications. In particular, mathematical modeling, simulation and optimization is nowadays successfully used in various fields of application, like the energy- or health-sector. Here, mathematics is often the driving force for new innovations and most relevant for the success of many interdisciplinary projects. The presented chapters demonstrate the power of this emerging research field and show how society can benefit from applied mathematics.
Modeling, Simulation and Optimization of Complex Processes HPSC 2018: Proceedings of the 7th International Conference on High Performance Scientific Computing, Hanoi, Vietnam, March 19-23, 2018
by Willi Jäger Hans Georg Bock Hoang Xuan Phu Ekaterina KostinaThis proceedings volume highlights a selection of papers presented at the 7th International Conference on High Performance Scientific Computing, which took place in Hanoi, Vietnam, during March 19-23, 2018. The conference has been organized by the Institute of Mathematics of the Vietnam Academy of Science and Technology, the Interdisciplinary Center for Scientific Computing (IWR) of Heidelberg University and the Vietnam Institute for Advanced Study in Mathematics. The contributions cover a broad, interdisciplinary spectrum of scientific computing and showcase recent advances in theory, methods, and practical applications. Subjects covered include numerical simulation, methods for optimization and control, machine learning, parallel computing and software development, as well as the applications of scientific computing in mechanical engineering, airspace engineering, environmental physics, decision making, hydrogeology, material science and electric circuits.
Modeling, Simulation and Optimization of Complex Processes - HPSC 2012
by Johannes P. Schlöder Rolf Rannacher Hans Georg Bock Xuan Phu HoangThis proceedings volume gathers a selection of papers presented at the Fifth International Conference on High Performance Scientific Computing, which took place in Hanoi on March 5-9, 2012. The conference was organized by the Institute of Mathematics of the Vietnam Academy of Science and Technology (VAST), the Interdisciplinary Center for Scientific Computing (IWR) of Heidelberg University, Ho Chi Minh City University of Technology, and the Vietnam Institute for Advanced Study in Mathematics. The contributions cover the broad interdisciplinary spectrum of scientific computing and present recent advances in theory, development of methods, and practical applications. Subjects covered include mathematical modeling; numerical simulation; methods for optimization and control; parallel computing; software development; and applications of scientific computing in physics, mechanics and biomechanics, material science, hydrology, chemistry, biology, biotechnology, medicine, sports, psychology, transport, logistics, communication networks, scheduling, industry, business and finance.
Modeling, Simulation and Optimization: Proceedings of CoMSO 2020 (Smart Innovation, Systems and Technologies #206)
by Valentina Emilia Balas Sivaji Bandyopadhyay Ripon Patgiri Biplab DasThis book includes selected peer-reviewed papers presented at the International Conference on Modeling, Simulation and Optimization, organized by National Institute of Technology, Silchar, Assam, India, during 3–5 August 2020. The book covers topics of modeling, simulation and optimization, including computational modeling and simulation, system modeling and simulation, device/VLSI modeling and simulation, control theory and applications, modeling and simulation of energy system and optimization. The book disseminates various models of diverse systems and includes solutions of emerging challenges of diverse scientific fields.
Modeling, Simulation and Optimization: Proceedings of CoMSO 2021 (Smart Innovation, Systems and Technologies #292)
by Valentina Emilia Balas Sivaji Bandyopadhyay Ripon Patgiri Biplab DasThis book includes selected peer-reviewed papers presented at the International Conference on Modeling, Simulation and Optimization (CoMSO 2021), organized by National Institute of Technology, Silchar, Assam, India, during December 16–18, 2021. The book covers topics of modeling, simulation and optimization, including computational modeling and simulation, system modeling and simulation, device/VLSI modeling and simulation, control theory and applications, modeling and simulation of energy systems and optimization. The book disseminates various models of diverse systems and includes solutions of emerging challenges of diverse scientific fields.
Modeling, Simulation and Optimization: Proceedings of CoMSO 2022 (Smart Innovation, Systems and Technologies #373)
by Valentina Emilia Balas Sukanta Roy Sivaji Bandyopadhyay Ripon Patgiri Biplab DasThis book includes selected peer-reviewed papers presented at the International Conference on Modeling, Simulation and Optimization (CoMSO 2022), organized by National Institute of Technology, Silchar, Assam, India, during December 21–23, 2022. The book covers topics of modeling, simulation, and optimization, including computational modeling and simulation, system modeling and simulation, device/VLSI modeling and simulation, control theory and applications, and modeling and simulation of energy systems and optimization. The book disseminates various models of diverse systems and includes solutions of emerging challenges of diverse scientific fields.
Modellieren der Realität mit Mathematik
by Alfio QuarteroniDie Simulation des menschlichen Herzens, die Vorhersage des morgigen Wetters, die Optimierung der Aerodynamik eines Segelboots, die Suche nach der idealen Garzeit für einen Hamburger: Bei der Lösung dieser Probleme können Kardiologen, Meteorologen, Sportler und Ingenieure auf mathematische Hilfe zählen. Dieses Buch führt Sie zur Entdeckung einer magischen, aus Gleichungen bestehenden Welt, die für eine Vielzahl von wichtigen Problemen unseres Lebens nützliche Antworten liefern können.Die Übersetzung wurde mit Hilfe von künstlicher Intelligenz durchgeführt. Eine anschließende menschliche Überarbeitung erfolgte vor allem in Bezug auf den Inhalt.
Modellierungskompetenzen – Diagnose und Bewertung (Realitätsbezüge im Mathematikunterricht)
by Gilbert Greefrath Katja MaaßDer vorliegende Band widmet sich der notwendigen Frage, wie Lernleistungen bei Modellierungsaufgaben erkannt, gemessen und bewertet werden können. Dazu werden in Beiträgen verschiedene Tests zur Messung von Modellierungskompetenzen vorgestellt. Teilkompetenzen, die gut erfasst werden können, umfassen zum Beispiel Vereinfachen, Strukturieren, Erstellen von schriftliche Lösungen und Präsentationstechniken. Diskutiert wird aber auch die Bewertung komplexer Modellierungsaufgaben. Selbstredend geht es auch um lernförderliche Rückmeldung im Lehr-Lern-Prozess. Die Auswirkungen der Verwendung metakognitiver Lösungsstrategien wird untersucht. Vorgestellt wird weiter ein Kompetenzstufenmodell, das zur Aufgabenstellung und Leistungsinterpretation für die schriftliche Reifeprüfung in Österreich dient, sowie die Konzeption von Modellierungsaufgaben im Abitur.Dieser Band zeigt, wie mathematisches Modellieren sinnvoll und gewinnbringend genutzt werden kann und liefert Materialien und Ideen für den Einsatz in Schule und Hochschule.
Modelling Aging and Migration Effects on Spatial Labor Markets (Advances in Spatial Science)
by Roger R. Stough Peter Nijkamp Karima Kourtit Uwe BlienThe aging and migration megatrends and their impact on spatial – regional and local – labor market performance is the core theme of this book, and thus together define its scope and focus. The contributions provide an overview of key aging and migration issues in various countries together with analyses of their varied impacts on regional labor markets. Systematic database research and related empirical analyses are used to map out the complex and dynamic nature of these trends, while cutting-edge economic and modeling techniques are used to analyze them. In closing, the book critically reviews and assesses selected policy measures designed to cope with the effects of aging and migration on regional labor markets.
Modelling Atomic Arrangements in Multicomponent Alloys: A Perturbative, First-Principles-Based Approach (Springer Series in Materials Science #346)
by Christopher D. WoodgateThis book provides a comprehensive overview of a computationally efficient approach for modelling the phase behaviour of multicomponent alloys from first principles, describing both short- and long-range atomic ordering tendencies. The study of multicomponent alloy systems, which combine three or more base elements in near-equal ratios, has garnered significant attention in materials science due to the potential for the creation of novel materials with superior properties for a variety of applications. High-entropy alloys, which contain four or more base elements, have emerged as a particularly fascinating subset of these systems, demonstrating extraordinary strength and fracture resistance, among other desirable properties. The book presents a novel modelling approach for studying the phase behaviour of these systems, which is based on a perturbative analysis of the internal energy of the disordered alloy as evaluated within the Korringa–Kohn–Rostoker (KKR) formulation of density functional theory (DFT), using the coherent potential approximation (CPA) to average over chemical disorder. Application of a Landau-type theory to an approximate form of the Gibbs free energy enables direct inference of chemical disorder/order transitions. In addition, the perturbative analysis facilitates extraction of atom-atom effective pair interactions for further atomistic simulations. The connection between the arrangement of atoms in a material and its magnetic properties is also studied. By outlining and applying the proposed modelling techniques to several systems of interest, this book serves as a valuable resource for materials scientists, physicists, and chemists alike, seeking to understand and develop new alloy systems with enhanced materials properties.
Modelling Binary Data (Chapman & Hall/CRC Texts in Statistical Science)
by David CollettSince the original publication of the bestselling Modelling Binary Data, a number of important methodological and computational developments have emerged, accompanied by the steady growth of statistical computing. Mixed models for binary data analysis and procedures that lead to an exact version of logistic regression form valuable additions to the
Modelling Diesel Combustion (Mechanical Engineering Series)
by P. A. Lakshminarayanan Yogesh V. AghavThis book comprehensively discusses diesel combustion phenomena like ignition delay, fuel-air mixing, rate of heat release, and emissions of smoke, particulate and nitric oxide. It enables quantitative evaluation of these important phenomena and parameters. Most importantly, it attempts to model them with constants that are independent of engine types and hence they could be applied by the engineers and researchers for a general engine. This book emphasizes the importance of the spray at the wall in precisely describing the heat release and emissions for most of the engines on and off-road. It gives models for heat release and emissions. Every model is thoroughly validated by detailed experiments using a broad range of engines. The book describes an elegant quasi-one-dimensional model for heat release in diesel engines with single as well as multiple injections. The book describes how the two aspects, namely, fuel injection rate and the diameter of the combustion bowl in the piston, have enabled meeting advanced emission, noise, and performance standards. The book also discusses the topics of computational fluid dynamics encompassing RANS and LES models of turbulence. Given the contents, this book will be useful for students, researchers and professionals working in the area of vehicle engineering and engine technology. This book will also be a good professional book for practising engineers in the field of combustion engines and automotive engineering.
Modelling Economic Capital: Practical Credit-Risk Methodologies, Applications, and Implementation Details (Contributions to Finance and Accounting)
by David Jamieson BolderHow might one determine if a financial institution is taking risk in a balanced and productive manner? A powerful tool to address this question is economic capital, which is a model-based measure of the amount of equity that an entity must hold to satisfactorily offset its risk-generating activities. This book, with a particular focus on the credit-risk dimension, pragmatically explores real-world economic-capital methodologies and applications. It begins with the thorny practical issues surrounding the construction of an (industrial-strength) credit-risk economic-capital model, defensibly determining its parameters, and ensuring its efficient implementation. It then broadens its gaze to examine various critical applications and extensions of economic capital; these include loan pricing, the computation of loan impairments, and stress testing. Along the way, typically working from first principles, various possible modelling choices and related concepts are examined. The end result is a useful reference for students and practitioners wishing to learn more about a centrally important financial-management device.