The Applied Mathematics, Modelling, and Computational Science (AMMCS) conference aims to promote interdisciplinary research and collaboration. The contributions in this volume cover the latest research in mathematical and computational sciences, modeling, and simulation as well as their applications in natural and social sciences, engineering and technology, industry, and finance. The 2013 conference, the second in a series of AMMCS meetings, was held August 26—30 and organized in cooperation with AIMS and SIAM, with support from the Fields Institute in Toronto, and Wilfrid Laurier University. There were many young scientists at AMMCS-2013, both as presenters and as organizers. This proceedings contains refereed papers contributed by the participants of the AMMCS-2013 after the conference. This volume is suitable for researchers and graduate students, mathematicians and engineers, industrialists, and anyone who would like to delve into the interdisciplinary research of applied and computational mathematics and its areas of applications.
Selected works from the BIOMAT Consortium Lectures, Moscow 2017
Author: Rubem P. Mondaini
This book brings together carefully selected, peer-reviewed works on mathematical biology presented at the BIOMAT International Symposium on Mathematical and Computational Biology, which was held at the Institute of Numerical Mathematics, Russian Academy of Sciences, in October 2017, in Moscow. Topics covered include, but are not limited to, the evolution of spatial patterns on metapopulations, problems related to cardiovascular diseases and modeled by boundary control techniques in hemodynamics, algebraic modeling of the genetic code, and multi-step biochemical pathways. Also, new results are presented on topics like pattern recognition of probability distribution of amino acids, somitogenesis through reaction-diffusion models, mathematical modeling of infectious diseases, and many others. Experts, scientific practitioners, graduate students and professionals working in various interdisciplinary fields will find this book a rich resource for research and applications alike.
The volume presents a selection of in-depth studies and state-of-the-art surveys of several challenging topics that are at the forefront of modern applied mathematics, mathematical modeling, and computational science. These three areas represent the foundation upon which the methodology of mathematical modeling and computational experiment is built as a ubiquitous tool in all areas of mathematical applications. This book covers both fundamental and applied research, ranging from studies of elliptic curves over finite fields with their applications to cryptography, to dynamic blocking problems, to random matrix theory with its innovative applications. The book provides the reader with state-of-the-art achievements in the development and application of new theories at the interface of applied mathematics, modeling, and computational science. This book aims at fostering interdisciplinary collaborations required to meet the modern challenges of applied mathematics, modeling, and computational science. At the same time, the contributions combine rigorous mathematical and computational procedures and examples from applications ranging from engineering to life sciences, providing a rich ground for graduate student projects.
Focusing on five main groups of interdisciplinary problems, this book covers a wide range of topics in mathematical modeling, computational science and applied mathematics. It presents a wealth of new results in the development of modeling theories and methods, advancing diverse areas of applications and promoting interdisciplinary interactions between mathematicians, scientists, engineers and representatives from other disciplines. The book offers a valuable source of methods, ideas, and tools developed for a variety of disciplines, including the natural and social sciences, medicine, engineering, and technology. Original results are presented on both the fundamental and applied level, accompanied by an ample number of real-world problems and examples emphasizing the interdisciplinary nature and universality of mathematical modeling, and providing an excellent outline of today’s challenges. Mathematical modeling, with applied and computational methods and tools, plays a fundamental role in modern science and engineering. It provides a primary and ubiquitous tool in the context making new discoveries, as well as in the development of new theories and techniques for solving key problems arising in scientific and engineering applications. The contributions, which are the product of two highly successful meetings held jointly in Waterloo, Ontario, Canada on the main campus of Wilfrid Laurier University in June 2015, i.e. the International Conference on Applied Mathematics, Modeling and Computational Science, and the Annual Meeting of the Canadian Applied and Industrial Mathematics (CAIMS), make the book a valuable resource for any reader interested in a broader overview of the methods, ideas and tools involved in mathematical and computational approaches developed for other disciplines, including the natural and social sciences, engineering and technology.
The articles that comprise this distinguished annual volume for the Advances in Mechanics and Mathematics series have been written in honor of Gilbert Strang, a world renowned mathematician and exceptional person. Written by leading experts in complementarity, duality, global optimization, and quantum computations, this collection reveals the beauty of these mathematical disciplines and investigates recent developments in global optimization, nonconvex and nonsmooth analysis, nonlinear programming, theoretical and engineering mechanics, large scale computation, quantum algorithms and computation, and information theory.
This book lists general information about a Monte Carlo simulation methodology in radio. In addition to providing general information, the text also constitutes a specification of the first generation of software SEAMCAT (spectrum engineering advanced Monte Carlo analysis tool) that uses the Monte Carlo method applied to radio cases.The problem of unwanted emissions, an important factor affecting the efficiency of radio spectrum use is the subject of an in-depth treatment in various forums both internal and external to the European Conference of Postal and Telecommunications Administrations (CEPT). While the need to re-evaluate the limits of unwanted emissions within Section 3 of the Radio Regulations (RR) is supported, it is generally considered to be preferable to use for this purpose a generic method.One of the many reasons why generic methods are preferred is their ability, a priori, to deal with new systems and communication technologies as they arise. Another reason is that only a generic method can aspire to become the basis of an analytical tool widely recognized.The tool for radio Monte Carlo simulation described in this report was developed based on the above considerations, in the process of the European Radiocommunications Committee (ERC).SEAMCAT is the application of a Monte Carlo simulation model for radio, developed by a group of CEPT administrations, members of the European Telecommunications Standards Institute (ETSI) and international scientific bodies. SEAMCAT is a computer program whose object code is public, being distributed by the European Radiocommunications Office (ERO) of the CEPT.Computing and information technology area courses have as objectives the training of human resources for the technological development of computing (hardware and software) in order to meet society''s needs for the application of computer technology in the interests of society and the formation teachers for middle and vocational education. Between the needs of society can be met with the aid of computers can be mentioned: storage of large volumes of information of all kinds and shapes and their recovery in an acceptable time; computing complex mathematical calculations in extremely short time; secure communication, fast and reliable; automation, control and monitoring of complex systems; fast computing repetitive calculations involving large amounts of information; processing images from different sources; games and tools to support teaching, etc. Application examples are found in the daily routine of companies (computing involving economic, financial and administrative information generated by business activities, industrial and services); in processing images generated by satellites for weather forecasts; in related to health activities (hospitals, doctors'' offices and public health agencies); in air traffic control systems; communication via the Internet; in the banking system, etc. The computation is for man an indispensable and fundamental tool in modern life. In the context of higher education in the field of Information Technology and its generation processes and automation of knowledge, we must consider the importance of curricula that can effectively prepare critical people, active and increasingly aware of their social roles and its contribution to scientific and technological advancement of the country. The social, humanitarian and ethical content of such training must orient curricula to ensure the expansion of human capabilities in close relation to the technical and scientific learning in the field of Computer and Information Technology. It is therefore a higher education in which individuals are also being trained to deal with human and ethical dimensions of knowledge and social relations.Applications of computing and computer area courses can be composed of four major areas of training: * Basic training, which comprises the basic principles of the area of computing, computer science, mathematics necessary to define them formally, physics and electricity needed to enable the understanding and design of viable computers technical and pedagogical training that introduces the basic knowledge the construction of knowledge, necessary for the development of the practice of computer education.* technological formation applying the basic technological development in computing * additional training allowing an interaction of the graduates of the courses with other professions
Functional analysis-the study of the properties of mathematical functions-is widely used in modern scientific and engineering disciplines, particularly in mathematical modeling and computer simulation. Applied Functional Analysis, the only textbook of its kind, is designed specifically for the graduate student in engineering and science who has little or no training in advanced mathematics. Comprehensive and easy-to-understand, this innovative textbook progresses from the essentials of preparatory mathematics to sophisticated functional analysis. This self-contained presentation requires few mathematical prerequisites and provides students with the fundamental concepts and theorems essential to mathematical analysis and modeling. Applied Functional Analysis combines various principles of mathematics, computer science, engineering, and science, laying the foundation for further specialty work in partial differential equations, approximation theory, numerical mathematics, control theory, mathematical physics, and related subjects. This new treatment of a classic subject outfits engineering and science majors with a graduate-level mathematics standing, otherwise accessible only through regular mathematics studies.
Numerical simulation of multiphase reactors with continuous liquid phase provides current research and findings in multiphase problems, which will assist researchers and engineers to advance this field. This is an ideal reference book for readers who are interested in design and scale-up of multiphase reactors and crystallizers, and using mathematical model and numerical simulation as tools. Yang and Mao’s book focuses on modeling and numerical applications directly in the chemical, petrochemical, and hydrometallurgical industries, rather than theories of multiphase flow. The content will help you to solve reacting flow problems and/or system design/optimization problems. The fundamentals and principles of flow and mass transfer in multiphase reactors with continuous liquid phase are covered, which will aid the reader’s understanding of multiphase reaction engineering. Provides practical applications for using multiphase stirred tanks, reactors, and microreactors, with detailed explanation of investigation methods. Presents the most recent research efforts in this highly active field on multiphase reactors and crystallizers. Covers mathematical models, numerical methods and experimental techniques for multiphase flow and mass transfer in reactors and crystallizers.
Using examples from finance and modern warfare to the flocking of birds and the swarming of bacteria, the collected research in this volume demonstrates the common methodological approaches and tools for modeling and simulating collective behavior. The topics presented point toward new and challenging frontiers of applied mathematics, making the volume a useful reference text for applied mathematicians, physicists, biologists, and economists involved in the modeling of socio-economic systems.
Interdisciplinary Approaches to Theory and Modeling with Applications
Author: A. K. Haghi
Publisher: CRC Press
Understanding mathematical modeling is fundamental in chemical engineering. This book reviews, introduces, and develops the mathematical models that are most frequently encountered in sophisticated chemical engineering domains. The volume provides a collection of models illustrating the power and richness of the mathematical sciences in supplying insight into the operation of important real-world systems. It fills a gap within modeling texts, focusing on applications across a broad range of disciplines. The first part of the book discusses the general components of the modeling process and highlights the potential of modeling in the production of nanofibers. These chapters discuss the general components of the modeling process and the evolutionary nature of successful model building in the electrospinning process. Electrospinning is the most versatile technique for the preparation of continuous nanofibers obtained from numerous materials. This section of book summarizes the state-of-the art in electrospinning as well as updates on theoretical aspects and applications. Part 2 of the book presents a selection of special topics on issues in applied chemistry and chemical engineering, including nanocomposite coating processes by electrocodeposition method, entropic factors conformational interactions, and the application of artificial neural network and meta-heuristic algorithms. This volume covers a wide range of topics in mathematical modeling, computational science, and applied mathematics. It presents a wealth of new results in the development of modeling theories and methods, advancing diverse areas of applications and promoting interdisciplinary interactions between mathematicians, scientists, engineers and representatives from other disciplines.