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Finite and Boundary Element Tearing and Interconnecting Solvers for Multiscale Problems
by Clemens PechsteinTearing and interconnecting methods, such as FETI, FETI-DP, BETI, etc., are among the most successful domain decomposition solvers for partial differential equations. The purpose of this book is to give a detailed and self-contained presentation of these methods, including the corresponding algorithms as well as a rigorous convergence theory. In particular, two issues are addressed that have not been covered in any monograph yet: the coupling of finite and boundary elements within the tearing and interconnecting framework including exterior problems, and the case of highly varying (multiscale) coefficients not resolved by the subdomain partitioning. In this context, the book offers a detailed view to an active and up-to-date area of research.
Finite Automata
by Mark V. LawsonInterest in finite automata theory continues to grow, not only because of its applications in computer science, but also because of more recent applications in mathematics, particularly group theory and symbolic dynamics. The subject itself lies on the boundaries of mathematics and computer science, and with a balanced approach that does justice to
Finite Difference Computing with Exponential Decay Models (Lecture Notes in Computational Science and Engineering #110)
by Hans Petter LangtangenThis text provides a very simple, initial introduction to the complete scientificcomputing pipeline: models, discretization, algorithms, programming,verification, andvisualization. The pedagogical strategy is to use one case study - an ordinarydifferential equation describing exponential decay processes - to illustrate fundamentalconcepts in mathematics and computer science. The book is easy to read and only requires a command of one-variable calculus andsome very basic knowledge about computer programming. Contrary to similar textson numerical methods and programming, this text has a much stronger focus onimplementation and teaches testing and software engineering in particular.
Finite Difference Computing with PDEs
by Hans Petter Langtangen Svein LingeThis easy-to-read book introduces the basics of solving partial differential equations by means of finite difference methods. Unlike many of the traditional academic works on the topic, this book was written for practitioners. Accordingly, it especially addresses: the construction of finite difference schemes, formulation and implementation of algorithms, verification of implementations, analyses of physical behavior as implied by the numerical solutions, and how to apply the methods and software to solve problems in the fields of physics and biology. This book is open access under a CC BY license.
Finite Difference Methods. Theory and Applications: 7th International Conference, FDM 2018, Lozenetz, Bulgaria, June 11-16, 2018, Revised Selected Papers (Lecture Notes in Computer Science #11386)
by Lubin Vulkov István Faragó Ivan DimovThis book constitutes the refereed conference proceedings of the 7th International Conference on Finite Difference Methods, FDM 2018, held in Lozenetz, Bulgaria, in June 2018.The 69 revised full papers presented together with 11 invited papers were carefully reviewed and selected from 94 submissions. They deal with many modern and new numerical techniques like splitting techniques, Green’s function method, multigrid methods, and immersed interface method.
Finite Element Analysis for Civil Engineering with DIANA Software
by Shun ChaiThis book systematically introduces readers to the finite element analysis software DIANA (DIsplacement ANAlyzer) and its applications in civil engineering. Developed by TNO Corporation in the 1970s, DIANA is frequently used in civil engineering and engineering mechanics. Unlike the software user’s manual, which provides a comprehensive introduction and theoretical analysis, this book presents a simplified overview of the basic background theory to help beginners master the software quickly. It also discusses GUI operation and the command console in Python language, and includes examples involving classical modeling operations to help readers review each section. Both the book and DIANA itself are valuable resources for students and researchers in all the structural engineering fields, such as civil engineering, bridge engineering, geotechnical engineering, tunnel engineering, underground structural engineering, irrigation, municipal engineering and fire engineering.
Finite Element Analysis for Satellite Structures
by Nader Abuelfoutouh Gasser F. Abdelal Ahmed H. GadDesigning satellite structures poses an ongoing challenge as the interaction between analysis, experimental testing, and manufacturing phases is underdeveloped. Finite Element Analysis for Satellite Structures: Applications to Their Design, Manufacture and Testing explains the theoretical and practical knowledge needed to perform design of satellite structures. By layering detailed practical discussions with fully developed examples, Finite Element Analysis for Satellite Structures: Applications to Their Design, Manufacture and Testing provides the missing link between theory and implementation. Computational examples cover all the major aspects of advanced analysis; including modal analysis, harmonic analysis, mechanical and thermal fatigue analysis using finite element method. Test cases are included to support explanations an a range of different manufacturing simulation techniques are described from riveting to shot peening to material cutting. Mechanical design of a satellites structures are covered in three steps: analysis step under design loads, experimental testing to verify design, and manufacturing. Stress engineers, lecturers, researchers and students will find Finite Element Analysis for Satellite Structures: Applications to Their Design, Manufacture and Testing a key guide on with practical instruction on applying manufacturing simulations to improve their design and reduce project cost, how to prepare static and dynamic test specifications, and how to use finite element method to investigate in more details any component that may fail during testing.
The Finite Element Method: Theory, Implementation, and Applications
by Fredrik Bengzon Mats G. LarsonThis book gives an introduction to the finite element method as a general computational method for solving partial differential equations approximately. Our approach is mathematical in nature with a strong focus on the underlying mathematical principles, such as approximation properties of piecewise polynomial spaces, and variational formulations of partial differential equations, but with a minimum level of advanced mathematical machinery from functional analysis and partial differential equations. In principle, the material should be accessible to students with only knowledge of calculus of several variables, basic partial differential equations, and linear algebra, as the necessary concepts from more advanced analysis are introduced when needed. Throughout the text we emphasize implementation of the involved algorithms, and have therefore mixed mathematical theory with concrete computer code using the numerical software MATLAB is and its PDE-Toolbox. We have also had the ambition to cover some of the most important applications of finite elements and the basic finite element methods developed for those applications, including diffusion and transport phenomena, solid and fluid mechanics, and also electromagnetics.
A Finite Element Method for Netting: Application to fish cages and fishing gear (SpringerBriefs in Environmental Science)
by Daniel PriourThis book fully describes a finite element method for netting. That describes the relation between forces and deformation of the netting. That takes into account forces due to the twine elasticity, the hydrodynamic forces, the catch effect, the mesh opening stiffness. This book is divided in 5 parts. The first section contains introduction on the finite element method, the second part is about equilibrium calculation, the third presents a triangular element for netting, the fourth and fifth are for cable and node element. The sixth presents few validation cases.
Finite Element Method to Model Electromagnetic Systems in Low Frequency
by Francis Piriou Stéphane ClénetNumerical modeling now plays a central role in the design and study of electromagnetic systems. In the field of devices operating in low frequency, it is the finite element method that has come to the fore in recent decades. Today, it is widely used by engineers and researchers in industry, as well as in research centers. This book describes in detail all the steps required to discretize Maxwell’s equations using the finite element method. This involves progressing from the basic equations in the continuous domain to equations in the discrete domain that are solved by a computer. This approach is carried out with a constant focus on maintaining a link between physics, i.e. the properties of electromagnetic fields, and numerical analysis. Numerous academic examples, which are used throughout the various stages of model construction, help to clarify the developments.
Finite Element Methods: Parallel-Sparse Statics and Eigen-Solutions
by Duc Thai NguyenThis new edition includes three new chapters, 7 through 9, that have very broad, practical applications in engineering and science. In addition, the author’s latest research results incorporated into the new textbook demonstrates better performance than the popular METIS software for partitioning graphs, partitioning finite element meshes, and producing fill-reducing orderings for sparse matrices. The new Chapter 8, and its pre-requisite, Chapter 7, present a state-of-the-art algorithm for computing the shortest paths for real-life (large-scale) transportation networks with minimum computational time. This approach has not yet appeared in any existing textbooks and it could open the doors for other transportation engineering applications. Chapter 9 vastly expands the scope of the previous edition by including sensitivity (gradient) computation and MATLAB’s built-in function “fmincon” for obtaining the optimum (or best) solution for general engineering problems.
Finite Element Modeling for Materials Engineers Using MATLAB®
by Oluleke OluwoleThe finite element method is often used for numerical computation in the applied sciences. It makes a major contribution to the range of numerical methods used in the simulation of systems and irregular domains, and its importance today has made it an important subject of study for all engineering students. While treatments of the method itself can be found in many traditional finite element books, Finite Element Modeling for Materials Engineers Using MATLAB® combines the finite element method with MATLAB to offer materials engineers a fast and code-free way of modeling for many materials processes. Finite Element Modeling for Materials Engineers Using MATLAB® covers such topics as: developing a weak formulation as a prelude to obtaining the finite element equation,interpolation functions,derivation of elemental equations, anduse of the Partial Differential Equation ToolboxTM.Exercises are given based on each example and m-files based on the examples are freely available to readers online. Researchers, advanced undergraduate and postgraduate students, and practitioners in the fields of materials and metallurgy will find Finite Element Modeling for Materials Engineers Using MATLAB® a useful guide to using MATLAB for engineering analysis and decision-making.
Finite Elements in Fracture Mechanics: Theory - Numerics - Applications
by Meinhard KunaFracture mechanics has established itself as an important discipline of growing interest to those working to assess the safety, reliability and service life of engineering structures and materials. In order to calculate the loading situation at cracks and defects, nowadays numerical techniques like finite element method (FEM) have become indispensable tools for a broad range of applications. The present monograph provides an introduction to the essential concepts of fracture mechanics, its main goal being to procure the special techniques for FEM analysis of crack problems, which have to date only been mastered by experts. All kinds of static, dynamic and fatigue fracture problems are treated in two- and three-dimensional elastic and plastic structural components. The usage of the various solution techniques is demonstrated by means of sample problems selected from practical engineering case studies. The primary target group includes graduate students, researchers in academia and engineers in practice.
Finite Elements Using Maxima: Theory and Routines for Rods and Beams
by Andreas Öchsner Resam MakvandiThis book provides a study aid on the finite element method. Based on the free computer algebra system “Maxima”, it presents routines to symbolically or numerically solve problems in the context of plane truss and frame structures. This allows readers to not only check classical “hand calculations” but also understand the computer implementation of the method. The mechanical theories focus on the classical one-dimensional structural elements, i.e. bars, Euler–Bernoulli and Timoshenko beams as well as their combination to generalized beam elements. Focusing on one-dimensional elements reduces the complexity of the mathematical framework and the resulting matrix equations can still be displayed with all components, and not only in a symbolic representation. The use of a computer algebra system and the incorporated functions, e.g. for equation solving, highlights the methodology of the finite element method rather than standard procedures.The book is based on the Springer Brief “Finite Elements for Truss and Frame Structures” (978-3-319-94940-6) by the same authors.
Finite Form Representations for Meijer G and Fox H Functions: Applied to Multivariate Likelihood Ratio Tests Using Mathematica®, MAXIMA and R (Lecture Notes in Statistics #223)
by Carlos A. Coelho Barry C. ArnoldThis book depicts a wide range of situations in which there exist finite form representations for the Meijer G and the Fox H functions. Accordingly, it will be of interest to researchers and graduate students who, when implementing likelihood ratio tests in multivariate analysis, would like to know if there exists an explicit manageable finite form for the distribution of the test statistics. In these cases, both the exact quantiles and the exact p-values of the likelihood ratio tests can be computed quickly and efficiently.The test statistics in question range from common ones, such as those used to test e.g. the equality of means or the independence of blocks of variables in real or complex normally distributed random vectors; to far more elaborate tests on the structure of covariance matrices and equality of mean vectors. The book also provides computational modules in Mathematica®, MAXIMA and R, which allow readers to easily implement, plot and compute the distributions of any of these statistics, or any other statistics that fit into the general paradigm described here.
Finite Mixture of Skewed Distributions (SpringerBriefs in Statistics)
by Víctor Hugo Lachos Dávila Celso Rômulo Cabral Camila Borelli ZellerThis book presents recent results in finite mixtures of skewed distributions to prepare readers to undertake mixture models using scale mixtures of skew normal distributions (SMSN). For this purpose, the authors consider maximum likelihood estimation for univariate and multivariate finite mixtures where components are members of the flexible class of SMSN distributions. This subclass includes the entire family of normal independent distributions, also known as scale mixtures of normal distributions (SMN), as well as the skew-normal and skewed versions of some other classical symmetric distributions: the skew-t (ST), the skew-slash (SSL) and the skew-contaminated normal (SCN), for example. These distributions have heavier tails than the typical normal one, and thus they seem to be a reasonable choice for robust inference. The proposed EM-type algorithm and methods are implemented in the R package mixsmsn, highlighting the applicability of the techniques presented in the book.This work is a useful reference guide for researchers analyzing heterogeneous data, as well as a textbook for a graduate-level course in mixture models. The tools presented in the book make complex techniques accessible to applied researchers without the advanced mathematical background and will have broad applications in fields like medicine, biology, engineering, economic, geology and chemistry.
Finite Volumes for Complex Applications IX - Methods, Theoretical Aspects, Examples: FVCA 9, Bergen, Norway, June 2020 (Springer Proceedings in Mathematics & Statistics #323)
by Jürgen Fuhrmann Robert Klöfkorn Eirik Keilegavlen Florin A. RaduThe proceedings of the 9th conference on "Finite Volumes for Complex Applications" (Bergen, June 2020) are structured in two volumes. The first volume collects the focused invited papers, as well as the reviewed contributions from internationally leading researchers in the field of analysis of finite volume and related methods. Topics covered include convergence and stability analysis, as well as investigations of these methods from the point of view of compatibility with physical principles. Altogether, a rather comprehensive overview is given on the state of the art in the field. The properties of the methods considered in the conference give them distinguished advantages for a number of applications. These include fluid dynamics, magnetohydrodynamics, structural analysis, nuclear physics, semiconductor theory, carbon capture utilization and storage, geothermal energy and further topics. The second volume covers reviewed contributions reporting successful applications of finite volume and related methods in these fields. The finite volume method in its various forms is a space discretization technique for partial differential equations based on the fundamental physical principle of conservation. Many finite volume methods preserve further qualitative or asymptotic properties, including maximum principles, dissipativity, monotone decay of free energy, and asymptotic stability, making the finite volume methods compatible discretization methods, which preserve qualitative properties of continuous problems at the discrete level. This structural approach to the discretization of partial differential equations becomes particularly important for multiphysics and multiscale applications. The book is a valuable resource for researchers, PhD and master’s level students in numerical analysis, scientific computing and related fields such as partial differential equations, as well as engineers working in numerical modeling and simulations.
Finitely Generated Abelian Groups and Similarity of Matrices over a Field
by Christopher NormanAt first sight, finitely generated abelian groups and canonical forms of matrices appear to have little in common. However, reduction to Smith normal form, named after its originator H.J.S.Smith in 1861, is a matrix version of the Euclidean algorithm and is exactly what the theory requires in both cases. Starting with matrices over the integers, Part 1 of this book provides a measured introduction to such groups: two finitely generated abelian groups are isomorphic if and only if their invariant factor sequences are identical. The analogous theory of matrix similarity over a field is then developed in Part 2 starting with matrices having polynomial entries: two matrices over a field are similar if and only if their rational canonical forms are equal. Under certain conditions each matrix is similar to a diagonal or nearly diagonal matrix, namely its Jordan form. The reader is assumed to be familiar with the elementary properties of rings and fields. Also a knowledge of abstract linear algebra including vector spaces, linear mappings, matrices, bases and dimension is essential, although much of the theory is covered in the text but from a more general standpoint: the role of vector spaces is widened to modules over commutative rings. Based on a lecture course taught by the author for nearly thirty years, the book emphasises algorithmic techniques and features numerous worked examples and exercises with solutions. The early chapters form an ideal second course in algebra for second and third year undergraduates. The later chapters, which cover closely related topics, e.g. field extensions, endomorphism rings, automorphism groups, and variants of the canonical forms, will appeal to more advanced students. The book is a bridge between linear and abstract algebra.
FinOps Handbook for Microsoft Azure: Empowering teams to optimize their Azure cloud spend with FinOps best practices
by Maulik SoniDrive financial visibility, set cost optimization goals, and reap savings for your organization with proven practices and invaluable insightsPurchase of the print or Kindle book includes a free PDF eBookKey FeaturesBuild a FinOps team and foster cross-organizational collaboration to optimize costsGain a deep insight into resource usage and rates to unlock the secrets of cost optimizationApply your FinOps expertise to run a successful practice, reinvesting savings into new feature developmentBook DescriptionTo gain a competitive edge in today's unpredictable economic climate, you'll need to unravel the mystery of saving costs on Microsoft Azure Cloud. This book helps you do just that with proven strategies for building, running, and sustaining repeated cost optimization initiatives across your organization. You'll learn how to collaborate with finance, procurement, product, and engineering teams to optimize your cloud spend and achieve cost savings that can make a significant impact on your bottom line. The book begins by showing you how to effectively monitor and manage your cloud usage, identify cost-saving opportunities, and implement changes that'll reduce your overall spend. Whether you're a small start-up or a large enterprise, this book will equip you with the knowledge and skills needed to achieve cost savings and maintain a lean cloud infrastructure. As you advance, you'll find out how to benchmark your current cloud spend and establish a budget for cloud usage. Throughout the chapters, you'll learn how to negotiate with your cloud provider to optimize your rate, allocate cost for the container, and gain a solid understanding of metric-driven cost optimization. By the end of this FinOps book, you'll have become proficient in Azure Cloud financial management with the help of real-world examples, use cases, and scenarios.What you will learnGet the grip of all the activities of FinOps phases for Microsoft AzureUnderstand architectural patterns for interruptible workload on Spot VMsOptimize savings with Reservations, Savings Plans, Spot VMsAnalyze waste with customizable pre-built workbooksWrite an effective financial business case for savingsApply your learning to three real-world case studiesForecast cloud spend, set budgets, and track accuratelyWho this book is forThis book is for cloud governance experts, finance managers, procurement specialists, product developers, and engineering teams looking to get clear and actionable guidance needed to implement all the phases of the FinOps life cycle in the Microsoft Azure context. This book is ideal for anyone with a basic understanding of financial terms, analytics tools, and the Azure cloud.
FinTech: The Technology Driving Disruption in the Financial Services Industry
by Parag ArjunwadkarEverything that we know about the world of finance is changing before us. Innovation is happening constantly, despite the protests of the traditional financial industry. With all the new technology that we have today, it is almost mind-blowing to think about the kind of technology that we will have in another ten years or so. The change is going to keep coming, the only thing we can do is get on board with it. This book introduces the basics of FinTech and equips readers with the knowledge to get on the cutting edge of age we live in today.
FinTech and Artificial Intelligence for Sustainable Development: The Role of Smart Technologies in Achieving Development Goals (Sustainable Development Goals Series)
by David MhlangaThis book investigates how smart technologies can play a crucial role in the achievement of the UN Sustainable Development Goals. Focusing on FinTech as well as artificial intelligence, the author demonstrates how one of the most effective strategies for accelerating progress toward global development goals is to make use of emerging technologies to broaden and deepen the scope of action. The first part of the book offers a historical perspective on sustainable development, financial technology and the emergence of the Fourth Industrial Revolution, while the second part looks in-depth at new technologies that can contribute to the realization of the SDGs. The power of AI to reduce poverty and increase food security, the implications of digital innovations for education, the impact of AI on clean transport, the role of FinTech in mitigating climate change, and ways in which AI can aid financial inclusion are all discussed.
Fintech and Cryptocurrency
by Mohd Naved V. Ajantha Devi Aditya Kumar GuptaFINTECH and CRYPTOCURRENCY Dive into the world of fintech and cryptocurrency through the engaging perspectives of this diverse group of authors and uncover the intricate connections between technology, finance, and cryptocurrency that make this a must-have for anyone intrigued by the future of digital society. Digital currencies, decentralization of money, and the growth of new technologies like blockchain, the Internet of Things, and machine learning have produced new opportunities and difficulties for banking and finance, as well as users of these services in electronic commerce. New banking and finance technologies may improve operational efficiency, risk management, compliance, and client pleasure, but they can decrease barriers and introduce new concerns, such as cybersecurity risk. Cryptocurrencies with smart contracts for payments and trading, as well as AI systems with adaptive algorithms that allow picture and speech recognition, expert judgement, group categorization, and forecasting in a variety of fields, are instances of increased automation. Simultaneously, the potentials pose risks and raise regulatory concerns. The rise of blockchain technology and its widespread use have had a significant impact on the operation and management of digital systems. At the same time, researchers and practitioners have paid close attention to digital finance. Blockchain’s first applications were limited to the production of digital currency, but it has now been expanded to include financial and commercial applications. Innovative digital finance has had a huge impact on business and society since it has been extensively adopted by businesses and consumers. As a result, the goal of this edited book is to expand and deepen our knowledge of the business possibilities of novel blockchain and digital financial applications.
FinTech and Data Privacy in Germany: An Empirical Analysis with Policy Recommendations
by Gregor Dorfleitner Lars HornufThis book examines the FinTech revolution from a data privacy perspective. It analyzes key players on the FinTech market and the developments in various market segments. Particular attention is paid to an empirical analysis of the privacy statements of 505 German FinTech firms and how they were adapted after the General Data Protection Regulation (GDPR) entered into effect in May 2018. The analysis also includes 38 expert interviews with relevant stakeholders from supervisory and regulatory authorities, the financial and FinTech industry, leading consulting firms and consumer protection agencies. By adopting this approach, the book identifies key regulatory needs, offers a valuable asset for practitioners and academics alike, and shares intriguing insights for lawyers, economists and everyone interested in FinTech and data privacy.
FinTech, Artificial Intelligence and the Law: Regulation and Crime Prevention (The Law of Financial Crime)
by Alison Lui Nicholas RyderThis collection critically explores the use of financial technology (FinTech) and artificial intelligence (AI) in the financial sector and discusses effective regulation and the prevention of crime. Focusing on crypto-assets, InsureTech and the digitisation of financial dispute resolution, the book examines the strategic and ethical aspects of incorporating AI into the financial sector. The volume adopts a comparative legal approach to: critically evaluate the strategic and ethical benefits and challenges of AI in the financial sector; critically analyse the role, values and challenges of FinTech in society; make recommendations on protecting vulnerable customers without restricting financial innovation; and to make recommendations on effective regulation and prevention of crime in these areas. The book will be of interest to teachers and students of banking and financial regulation related modules, researchers in computer science, corporate governance, and business and economics. It will also be a valuable resource for policy makers including government departments, law enforcement agencies, financial regulatory agencies, people employed within the financial services sector, and professional services such as law, and technology.
A Fintech em um Flash
by Agustin Rubini Fernanda BelokurowsFinalmente um guia explicativo de tecnologia financeira! A indústria de tecnologia de serviços financeiros está crescendo, com investimentos superiores a US$20 bilhões só no ano passado. Existem mais de 5000 startups de fintech operando e 50 delas já alcançaram uma avaliação de bilhões de dólares. O alcance deste mercado vai até os pagamentos online. A tecnologia financeira promete mudar a forma como gerimos o nosso dinheiro online, quebrando barreiras no cenário do setor de serviços financeiros. Compreender suas muitas facetas é a chave para nadar nas águas das nuances complexas desta indústria global. O livro “A Fintech em um Flash” é o seu guia explicativo sobre o futuro do setor bancário e de seguros. O livro pretende identificar os conceitos-chave de forma a ajudá-lo a entender todos os aspectos, a fim de que você possa aproveitar essas novas tecnologias. Dentro, você encontrará uma série de tópicos interessantes, como pagamentos online, financiamento coletivo, bancos challengers, seguros online, empréstimos digitais, Big Data e comércio eletrônico. Isso irá fazer você repensar a maneira como administra o seu dinheiro online e até mesmo encontrar novas formas de realizar pagamentos online. Abrangente, organizado e detalhado, este guia é a sua fonte de acesso para tudo o que você precisa para navegar com confiança neste cenário em constante mudança desta indústria em expansão.