Download or read book A Closer Look at the Diffusion Equation written by Jordan Hristov and published by Nova Science Publishers. This book was released on 2020-10 with total page 189 pages. Available in PDF, EPUB and Kindle. Book excerpt: Diffusion is a principle transport mechanism emerging widely at different scale, from nano to micro and macro levels. This is a contributed book of seventh chapters encompassing local and no-local diffusion phenomena modelled with integer-order (local) and non-local operators. This book collates research results developed by scientists from different countries but with common research interest in modelling of diffusion problems. The results reported encompass diffusion problems related to efficient numerical modelling, hypersonic flows, approximate analytical solutions of solvent diffusion in polymers and wetting of soils. Some chapters are devoted to fractional diffusion problem with operators with singular and non-singular memory kernels. The book content cannot present the entire rich area of problems related to modelling of diffusion phenomena but allow seeing some new trends and approaches in the modelling technologies. In this context, the fractional models with singular and non-singular kernels the numerical methods and the development of the integration techniques related to the integral-balance approach form fresh fluxes of ideas to this classical engineering area of research.The book is oriented to researchers; master and PhD students involved in diffusion problems with a variety of application and could serves as a rich reference source and a collection of texts provoking new ideas.
Download or read book A Closer Look of Nonlinear Reaction Diffusion Equations written by Lakshmanan Rajendran and published by Nova Science Publishers. This book was released on 2020-10 with total page 207 pages. Available in PDF, EPUB and Kindle. Book excerpt: By using mathematical models to describe the physical, biological or chemical phenomena, one of the most common results is either a differential equation or a system of differential equations, together with the correct boundary and initial conditions. The determination and interpretation of their solution are at the base of applied mathematics. Hence the analytical and numerical study of the differential equation is very much essential for all theoretical and experimental researchers, and this book helps to develop skills in this area.Recently non-linear differential equations were widely used to model many of the interesting and relevant phenomena found in many fields of science and technology on a mathematical basis. This problem is to inspire them in various fields such as economics, medical biology, plasma physics, particle physics, differential geometry, engineering, signal processing, electrochemistry and materials science.This book contains seven chapters and practical applications to the problems of the real world. The first chapter is specifically for those with limited mathematical background. Chapter one presents the introduction of non-linear reaction-diffusion systems, various boundary conditions and examples. Real-life application of non-linear reaction-diffusion in different fields with some important non-linear equations is also discussed. In Chapter 2, mathematical preliminaries and various advanced methods of solving non-linear differential equations such as Homotopy perturbation method, variational iteration method, exponential function method etc. are described with examples.Steady and non-steady state reaction-diffusion equations in the plane sheet (chapter 3), cylinder (chapter 4) and spherical (chapter 5) are analyzed. The analytical results published by various researchers in referred journals during 2007-2020 have been addressed in these chapters 4 to 6, and this leads to conclusions and recommendations on what approaches to use on non-linear reaction-diffusion equations.Convection-diffusion problems arise very often in applied sciences and engineering. Non-linear convection-diffusion equations and corresponding analytical solutions in various fields of chemical sciences are discussed in chapter6. Numerical methods are used to provide approximate results for the non-linear problems, and their importance is felt when it is impossible or difficult to solve a given problem analytically. Chapter 7 identifies some of the numerical methods for finding solutions to non-linear differential equations.
Download or read book A Closer Look at the Diffusion Equation written by Jordan Hristov and published by . This book was released on 2020-10 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Introduction to Nuclear Reactor Physics written by Robert E. Masterson and published by CRC Press. This book was released on 2017-11-22 with total page 1079 pages. Available in PDF, EPUB and Kindle. Book excerpt: INTRODUCTION TO NUCLEAR REACTOR PHYSICS is the most comprehensive, modern and readable textbook for this course/module. It explains reactors, fuel cycles, radioisotopes, radioactive materials, design, and operation. Chain reaction and fission reactor concepts are presented, plus advanced coverage including neutron diffusion theory. The diffusion equation, Fisk’s Law, and steady state/time-dependent reactor behavior. Numerical and analytical solutions are also covered. The text has full color illustrations throughout, and a wide range of student learning features.
Download or read book Numerical Methods and Applications written by Ivan Georgiev and published by Springer Nature. This book was released on 2023-05-15 with total page 365 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the thoroughly refereed post-conference proceedings of the 10th International Conference on Numerical Methods and Applications, NMA 2022, held in Borovets, Bulgaria, in August 2022.The 30 revised regular papers presented were carefully reviewed and selected from 38 submissions for inclusion in this book. The papers are organized in the following topical sections: numerical search and optimization; problem-driven numerical method: motivation and application, numerical methods for fractional diffusion problems; orthogonal polynomials and numerical quadratures; and Monte Carlo and Quasi-Monte Carlo methods.
Download or read book Advanced Ceramics for Energy Conversion and Storage written by Olivier Guillon and published by Elsevier. This book was released on 2019-11-20 with total page 750 pages. Available in PDF, EPUB and Kindle. Book excerpt: In order to enable an affordable, sustainable, fossil-free future energy supply, research activities on relevant materials and related technologies have been intensified in recent years, Advanced Ceramics for Energy Conversion and Storage describes the current state-of-the-art concerning materials, properties, processes, and specific applications. Academic and industrial researchers, materials scientists, and engineers will be able to get a broad overview of the use of ceramics in energy applications, while at the same time become acquainted with the most recent developments in the field. With chapters written by recognized experts working in their respective fields the book is a valuable reference source covering the following application areas: ceramic materials and coatings for gas turbines; heat storage and exchange materials for solar thermal energy; ceramics for nuclear energy; ceramics for energy harvesting (thermoelectrics, piezoelectrics, and sunlight conversion); ceramic gas separation membranes; solid oxide fuel cells and electrolysers; and electrochemical storage in battery cells. Advanced Ceramics for Energy Conversion and Storage offers a sound base for understanding the complex requirements related to the technological fields and the ceramic materials that make them possible. The book is also suitable for people with a solid base in materials science and engineering that want to specialize in ceramics. Presents an extensive overview of ceramic materials involved in energy conversion and storage Updates on the tremendous progress that has been achieved in recent years Showcases authors at the forefront of their fields, including results from the huge amount of published data Provides a list of requirements for the materials used for each energy technology Includes an evaluation and comparison of materials available, including their structure, properties and performance
Download or read book Modelling Landscape Dynamics written by Fivos Papadimitriou and published by Springer Nature. This book was released on 2024-01-02 with total page 141 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book offers a comprehensive exposition of the mathematical methods that can be used to model landscape dynamics. It is systematically shown how mathematical models of progressively higher complexity can be derived from ordinary landscape maps and related data in ways that enable researchers to predict future landscape transformations and to assess landscape stability, sustainability and resilience.These models are deterministic (i.e. linear or non-linear systems of differential equations), stochastic (i.e. Markovian), or combined deterministic-and-stochastic (using stochastic differential equations), whereas topics and challenging problems related to complexity (spatial randomness, chaotic behaviors, riddled systems etc) are also examined in the book.
Download or read book Pattern Recognition written by DAGM (Organization). Symposium and published by Springer Science & Business Media. This book was released on 2005-08-18 with total page 526 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the refereed proceedings of the 27th Symposium of the German Association for Pattern Recognition, DAGM 2005, held in Wien, Austria in August/September 2005. The 29 revised full papers and 31 revised poster papers presented together with 2 invited papers were carefully reviewed and selected from 122 submissions. The papers are organized in topical sections on color analysis, stereo vision, invited paper, segmentation and grouping, automatic speech understanding, 3D view registration and surface modeling, motion and tracking, computational learning, applications, and uncertainty and robustness.
Download or read book Fractional Dynamics in Natural Phenomena and Advanced Technologies written by Dumitru Baleanu and published by Cambridge Scholars Publishing. This book was released on 2024-01-29 with total page 290 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book addresses different applied problems in order to demonstrate the feasibility of fractional calculus’ use, irrespective of the type of memory kernels used, to model varieties of natural phenomena and new processes emerging in advanced technologies. In this context, the book’s focus is on modelling, adequate results, and interpretations, rather than theorems and proofs. The book includes a total of 12 chapters, representing various aspects of applied fractional modelling and covering important issues in modern technologies to provide a better understanding of applications of fractional calculus in applied modelling. The book will be a versatile source of information for undergraduate and graduate students, and for scientists involved in modelling of nonlinear and hereditary phenomena.
Download or read book Water Quality Engineering in Natural Systems written by David A. Chin and published by John Wiley & Sons. This book was released on 2021-02-17 with total page 656 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook describes in detail the fundamental equations that govern the fate and transport of contaminants in the environment, and covers the application of these equations to engineering design and environmental impact analysis relating to contaminant discharges into rivers, lakes, wetlands, groundwater, and oceans. The third edition provides numerous end-of-chapter problems and an expanded solutions manual. Also introduced in this edition are PowerPoints slides for all chapters so that instructors have a ready-made course. Key distinguishing features of this book include: detailed coverage of the science behind water-quality regulations, state-of-the-art methods for calculating total maximum daily loads (TMDLs) for the remediation of impaired waters, modeling and control of nutrient levels in lakes and reservoirs, design of constructed treatment wetlands, design of groundwater remediation systems, design of ocean outfalls, control of oil spills in the ocean, and the design of systems to control the quality of surface runoff from watersheds into their receiving waters. In addition, the entire book is updated to provide the latest advances in the field of water-quality control. For example, concepts such as mixing zones are expanded to include physical nature and regulatory importance of mixing zones, practical aspects of outfall and diffuser design are also included, specific details of water-quality modeling are updated to reflect the latest developments on this topic, and new findings relating to priority and emerging pollutants are added.
Download or read book Networked Control Systems for Connected and Automated Vehicles written by Alexander Guda and published by Springer Nature. This book was released on 2022-11-15 with total page 1646 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a collection of the latest research findings in such areas as networked multi-agent systems, co-design of communication and control, distributed control strategies that can cope with asynchrony between local loops, event-triggered control, modelling of network infrastructure, novel concepts of distributed control for networked and cyber-physical systems. The book contains the result of the latest research in the field of communication and control system design to support networked control systems with stringent real-time requirements. It introduces readers to research in the field of joint design of the control and communication protocol and presents the latest developments in the area of novel optimal control and scheduling designs under resource constraints. The book also covers the issues of creating emerging information and communication technologies for traffic estimation and control, connected and autonomous technology applications and modelling for commercial and shared vehicle operations. The reader will find information on emerging cyber-physical systems, networked multi-agent systems, large-scale distributed energy systems, as well as on real-time systems, safety and security systems. A significant block of studies is devoted to the topic of transitions towards electrification and automation of vehicles. Modern concepts of road infrastructure construction are described in detail in the presented research papers. Automotive industry professionals will be particularly interested in the sections on the novel mechanisms for medium access in multi-hop wireless networks with real-time requirements, optimal layering architecture and co-design for wireless communication. The book will be incredibly interesting for researchers interested in human–digital interfaces, industrial Internet of Things, artificial intelligence and machine learning.
Download or read book Electrochemical Impedance Spectroscopy And Related Techniques From Basics To Advanced Applications written by Laurence M Peter and published by World Scientific. This book was released on 2023-12-14 with total page 302 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book begins by introducing the basic concepts of impedance to non-specialist readers, who may have only an elementary knowledge of physics and mathematics. Mathematical concepts are explained clearly at appropriate points in a series of Theory Notes. Subsequent chapters cover RCL (resistor, capacitor, inductor) circuits before developing the key ideas behind the application of impedance spectroscopy to electrochemical systems. Circuit elements used to model electron transfer, double-layer charging and diffusion are described in detail, along with Kramers-Kronig testing of experimental data. The book explains how potentiostats and frequency-response analyzers work and evaluates a wealth of experimental data obtained either during the annual Bath impedance courses or in the laboratories of the author and his colleagues.Topics covered include not only conventional electrochemical systems, such as the rotating disc electrode and ultramicroelectrodes, but also unconventional solar cells and the application of frequency-resolved techniques in spectroelectrochemistry. Finally, the last two chapters introduce techniques based on modulation of light intensity rather than voltage or current. The book concludes with worked answers to the problems set out in earlier chapters.
Download or read book Analysis and Geometry of Markov Diffusion Operators written by Dominique Bakry and published by Springer Science & Business Media. This book was released on 2013-11-18 with total page 555 pages. Available in PDF, EPUB and Kindle. Book excerpt: The present volume is an extensive monograph on the analytic and geometric aspects of Markov diffusion operators. It focuses on the geometric curvature properties of the underlying structure in order to study convergence to equilibrium, spectral bounds, functional inequalities such as Poincaré, Sobolev or logarithmic Sobolev inequalities, and various bounds on solutions of evolution equations. At the same time, it covers a large class of evolution and partial differential equations. The book is intended to serve as an introduction to the subject and to be accessible for beginning and advanced scientists and non-specialists. Simultaneously, it covers a wide range of results and techniques from the early developments in the mid-eighties to the latest achievements. As such, students and researchers interested in the modern aspects of Markov diffusion operators and semigroups and their connections to analytic functional inequalities, probabilistic convergence to equilibrium and geometric curvature will find it especially useful. Selected chapters can also be used for advanced courses on the topic.
Download or read book Basic Linear Partial Differential Equations written by Francois Treves and published by Academic Press. This book was released on 1975 with total page 494 pages. Available in PDF, EPUB and Kindle. Book excerpt: Focusing on the archetypes of linear partial differential equations, this text for upper-level undergraduates and graduate students employs nontraditional methods to explain classical material. Nearly 400 exercises. 1975 edition.
Download or read book Computational Methods for Fluid Dynamics written by Joel H. Ferziger and published by Springer. This book was released on 2019-08-16 with total page 596 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a guide to numerical methods for solving fluid dynamics problems. The most widely used discretization and solution methods, which are also found in most commercial CFD-programs, are described in detail. Some advanced topics, like moving grids, simulation of turbulence, computation of free-surface flows, multigrid methods and parallel computing, are also covered. Since CFD is a very broad field, we provide fundamental methods and ideas, with some illustrative examples, upon which more advanced techniques are built. Numerical accuracy and estimation of errors are important aspects and are discussed in many examples. Computer codes that include many of the methods described in the book can be obtained online. This 4th edition includes major revision of all chapters; some new methods are described and references to more recent publications with new approaches are included. Former Chapter 7 on solution of the Navier-Stokes equations has been split into two Chapters to allow for a more detailed description of several variants of the Fractional Step Method and a comparison with SIMPLE-like approaches. In Chapters 7 to 13, most examples have been replaced or recomputed, and hints regarding practical applications are made. Several new sections have been added, to cover, e.g., immersed-boundary methods, overset grids methods, fluid-structure interaction and conjugate heat transfer.
Download or read book High temperature Liquid Chromatography written by Thorsten Teutenberg and published by Royal Society of Chemistry. This book was released on 2010 with total page 221 pages. Available in PDF, EPUB and Kindle. Book excerpt: High-temperature liquid chromatography has attracted much interest in recent years but has not yet recognized its full potential in the chromatographic community. There is a widespread reluctance in industry to use temperature to speed up the separation process, influence the selectivity of a separation or implement novel detection techniques. However, the technology has now matured and could revolutionize chromatography as we see it today. Better equipment, such as heating systems able to generate faster heating rates, is becoming more readily available. Also, columns based on silica gel, which can withstand higher temperatures for an extended period, are now being introduced. Nevertheless, further technological and methodical efforts are needed to establish the method in a regulated environment like the pharmaceutical industry. This is the only text to cover all the practical aspects, as well as the underlying theoretical principles, of setting up an HPLC system for high-temperature operation. It is not intended solely for academics but will also benefit the researcher interested in more practical considerations. The author is a recognized expert and has conducted several studies with partners from industry to validate the method. Many real examples from these studies have been included in the book. The aim is to support practitioners in the creation of their own protocols without the need to rely solely on trial and error. The book starts with a brief definition of high-temperature liquid chromatography before going on to cover: system set up; the heating system; mobile phase considerations; suitable stationary phases; method development using temperature programming; analyte stability, and special hyphenation techniques using superheated water as a mobile phase. In each chapter, experimental data is used to illustrate the main statements and the advantages over conventional HPLC are evaluated. The book concludes with a critical outlook on further developments and applications underlining the necessary advances needed to make high-temperature HPLC more robust.
Download or read book Stochastic Population Theories written by D. Ludwig and published by Springer Science & Business Media. This book was released on 2013-03-07 with total page 117 pages. Available in PDF, EPUB and Kindle. Book excerpt: These notes serve as an introduction to stochastic theories which are useful in population biology; they are based on a course given at the Courant Institute, New York, in the Spring of 1974. In order to make the material. accessible to a wide audience, it is assumed that the reader has only a slight acquaintance with probability theory and differential equations. The more sophisticated topics, such as the qualitative behavior of nonlinear models, are approached through a succession of simpler problems. Emphasis is placed upon intuitive interpretations, rather than upon formal proofs. In most cases, the reader is referred elsewhere for a rigorous development. On the other hand, an attempt has been made to treat simple, useful models in some detail. Thus these notes complement the existing mathematical literature, and there appears to be little duplication of existing works. The authors are indebted to Miss Jeanette Figueroa for her beautiful and speedy typing of this work. The research was supported by the National Science Foundation under Grant No. GP-32996X3. CONTENTS I. LINEAR MODELS •••••. •••••••••••••••. . ••••••••••••••••••••••••••••••••••••••• 1 1. The Poisson Process ••••••••••••••••••••••••••. ••. •••••••••••. •••••••••• 1 2. Birth and Death Processes 5 2. 1 Linear Birth Process 5 2. 2 Linear Birth and Death Process •••••. ••••••. ••••••••••••••. •••••••• 7 2. 3 Birth and Death with Carrying Capacity ••••••••. •••. ••••••. ••••••. • 16 3. Branching Processes •••••••••••••••••••. •••••••. ••••••••. ••••••••••••••• 20 3. 1 Continuous Time . •••. ••••••••••. •••••••••••••••••••. ••••••••. ••••.
