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This is the first book devoted to the least-squares finite element method (LSFEM), which is a simple, efficient and robust technique for the numerical solution of partial differential equations. The book demonstrates that the LSFEM can solve a broad range of problems in fluid dynamics and electromagnetics with only one mathematical/computational formulation. The book shows that commonly adopted special treatments in computational fluid dynamics and computational electromagnetics, such as upwinding, numerical dissipation, staggered grid, non-equal-order elements, operator splitting and preconditioning, edge elements, vector potential, and so on, are unnecessary. This book introduces the basic theory of the least-squares method for first-order PDE systems, particularly the div-curl system and the div-curl-grad system. It is applied to the study of permissible boundary conditions for the incompressible Navier--Stokes equations, to show that the divergence equations in the Maxwell equations are not redundant, and to derive equivalent second-order versions of the Navier--Stokes equations and the Maxwell equations. This book covers diverse applications such as incompressible viscous flows, rotational inviscid flows, low- or high-Mach-number compressible flows, two-fluid flows, convective flows, and scattering waves.
Mathematical statistics --- Differential equations, Partial --- -Electromagnetism --- -Finite element method --- Fluid mechanics --- -Least squares --- 519.6 --- 681.3 *G18 --- Method of least squares --- Squares, Least --- Curve fitting --- Geodesy --- Mathematics --- Probabilities --- Triangulation --- Hydromechanics --- Continuum mechanics --- FEA (Numerical analysis) --- FEM (Numerical analysis) --- Finite element analysis --- Numerical analysis --- Isogeometric analysis --- Electromagnetics --- Magnetic induction --- Magnetism --- Metamaterials --- Partial differential equations --- Numerical solutions --- Computational mathematics. Numerical analysis. Computer programming --- Partial differential equations: difference methods; elliptic equations; finite element methods; hyperbolic equations; method of lines; parabolic equations (Numerical analysis) --- Electromagnetism --- Finite element method. --- Least squares. --- Numerical solutions. --- Mathematics. --- 681.3 *G18 Partial differential equations: difference methods; elliptic equations; finite element methods; hyperbolic equations; method of lines; parabolic equations (Numerical analysis) --- 519.6 Computational mathematics. Numerical analysis. Computer programming --- Physics. --- Continuum physics. --- Optics. --- Electrodynamics. --- Calculus of variations. --- Computer mathematics. --- Fluids. --- Numerical and Computational Physics, Simulation. --- Classical and Continuum Physics. --- Classical Electrodynamics. --- Calculus of Variations and Optimal Control; Optimization. --- Computational Science and Engineering. --- Fluid- and Aerodynamics. --- Hydraulics --- Mechanics --- Physics --- Hydrostatics --- Permeability --- Computer mathematics --- Electronic data processing --- Isoperimetrical problems --- Variations, Calculus of --- Maxima and minima --- Dynamics --- Light --- Classical field theory --- Continuum physics --- Natural philosophy --- Philosophy, Natural --- Physical sciences
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This book introduces embedded software engineering and management methods, proposing the relevant testing theory and techniques that promise the final realization of automated testing of embedded systems.
Embedded computer systems --- Computer software --- Testing.
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Using a new firm-level dataset with comprehensive information on Asian firms’ FX liabilities, we show that Asia’s nonfinancial corporate sector is vulnerable to a tightening of global financial conditions. Higher global interest rates and exchange rate depreciation increase the probability of default of Asian firms. A 30 percent currency depreciation is associated with a two-notch downgrade in the corporate credit rating (e.g., from A to BBB+), resulting in 7 percent of Asian firms falling into bankruptcy. But the impact is nonlinear—as the firms’ FX liability increases, the balance sheet channel of exchange rate offsets, then dominates, the competitiveness channel. The balance sheet channel offsets the competitiveness channel when the share of U.S. dollar debt is between 10 and 20 percent. We also find that currency depreciation increases firm-level investment on average, but for firms with the share of FX liabilities above 20 percent, investment contracts with depreciation.
Economics --- Economic sociology --- Socio-economics --- Socioeconomics --- Sociology of economics --- Sociology --- Sociological aspects. --- Social aspects --- Accounting --- Foreign Exchange --- Investments: General --- Money and Monetary Policy --- Open Economy Macroeconomics --- Economic Growth of Open Economies --- Financial Crises --- General Financial Markets: General (includes Measurement and Data) --- International Financial Markets --- Corporate Finance and Governance: General --- Capital Budgeting --- Fixed Investment and Inventory Studies --- Monetary Systems --- Standards --- Regimes --- Government and the Monetary System --- Payment Systems --- Public Administration --- Public Sector Accounting and Audits --- Investment --- Capital --- Intangible Capital --- Capacity --- Currency --- Foreign exchange --- Monetary economics --- Financial reporting, financial statements --- Macroeconomics --- Exchange rates --- Currencies --- Financial statements --- Depreciation --- Money --- Public financial management (PFM) --- National accounts --- Finance, Public --- Saving and investment --- United States
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The Turning Tide: How Vulnerable are Asian Corporates?.
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This book describes current problems in data science and Big Data. Key topics are data classification, Graph Cut, the Laplacian Matrix, Google Page Rank, efficient algorithms, hardness of problems, different types of big data, geometric data structures, topological data processing, and various learning methods. For unsolved problems such as incomplete data relation and reconstruction, the book includes possible solutions and both statistical and computational methods for data analysis. Initial chapters focus on exploring the properties of incomplete data sets and partial-connectedness among data points or data sets. Discussions also cover the completion problem of Netflix matrix; machine learning method on massive data sets; image segmentation and video search. This book introduces software tools for data science and Big Data such MapReduce, Hadoop, and Spark. This book contains three parts. The first part explores the fundamental tools of data science. It includes basic graph theoretical methods, statistical and AI methods for massive data sets. In second part, chapters focus on the procedural treatment of data science problems including machine learning methods, mathematical image and video processing, topological data analysis, and statistical methods. The final section provides case studies on special topics in variational learning, manifold learning, business and financial data rec overy, geometric search, and computing models. Mathematical Problems in Data Science is a valuable resource for researchers and professionals working in data science, information systems and networks. Advanced-level students studying computer science, electrical engineering and mathematics will also find the content helpful.
Computer Science --- Engineering & Applied Sciences --- Quantitative research. --- Big data. --- Cloud computing. --- Data sets, Large --- Large data sets --- Data analysis (Quantitative research) --- Exploratory data analysis (Quantitative research) --- Quantitative analysis (Research) --- Quantitative methods (Research) --- Computer science. --- Computer communication systems. --- Computer science --- Computers. --- Computer Science. --- Information Systems and Communication Service. --- Computer Communication Networks. --- Mathematics of Computing. --- Mathematics. --- Research --- Electronic data processing --- Web services --- Distributed processing --- Data sets --- Information systems. --- Informatics --- Science --- Computer science—Mathematics. --- Communication systems, Computer --- Computer communication systems --- Data networks, Computer --- ECNs (Electronic communication networks) --- Electronic communication networks --- Networks, Computer --- Teleprocessing networks --- Data transmission systems --- Digital communications --- Electronic systems --- Information networks --- Telecommunication --- Cyberinfrastructure --- Network computers --- Automatic computers --- Automatic data processors --- Computer hardware --- Computing machines (Computers) --- Electronic brains --- Electronic calculating-machines --- Electronic computers --- Hardware, Computer --- Computer systems --- Cybernetics --- Machine theory --- Calculators --- Cyberspace
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This book describes current problems in data science and Big Data. Key topics are data classification, Graph Cut, the Laplacian Matrix, Google Page Rank, efficient algorithms, hardness of problems, different types of big data, geometric data structures, topological data processing, and various learning methods. For unsolved problems such as incomplete data relation and reconstruction, the book includes possible solutions and both statistical and computational methods for data analysis. Initial chapters focus on exploring the properties of incomplete data sets and partial-connectedness among data points or data sets. Discussions also cover the completion problem of Netflix matrix; machine learning method on massive data sets; image segmentation and video search. This book introduces software tools for data science and Big Data such MapReduce, Hadoop, and Spark. This book contains three parts. The first part explores the fundamental tools of data science. It includes basic graph theoretical methods, statistical and AI methods for massive data sets. In second part, chapters focus on the procedural treatment of data science problems including machine learning methods, mathematical image and video processing, topological data analysis, and statistical methods. The final section provides case studies on special topics in variational learning, manifold learning, business and financial data rec overy, geometric search, and computing models. Mathematical Problems in Data Science is a valuable resource for researchers and professionals working in data science, information systems and networks. Advanced-level students studying computer science, electrical engineering and mathematics will also find the content helpful.
Mathematics --- Computer science --- Computer architecture. Operating systems --- Information systems --- Computer. Automation --- ICT (informatie- en communicatietechnieken) --- computers --- informatica --- externe fixatie (geneeskunde --- informatiesystemen --- wiskunde --- computernetwerken
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