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Chemical vapor deposition --- Decomposition method. --- CVD (Chemical vapor deposition) --- Deposition, Chemical vapor --- Vapor deposition, Chemical --- Vapor-plating --- Method, Decomposition --- Operations research --- Programming (Mathematics) --- System analysis --- Mathematical models.
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"In Discovering Complexity, William Bechtel and Robert Richardson examine two heuristics that guided the development of mechanistic models in the life sciences: decomposition and localization. Drawing on historical cases from disciplines including cell biology, cognitive neuroscience, and genetics, they identify a number of 'choice points' that life scientists confront in developing mechanistic explanations and show how different choices result in divergent explanatory models. Describing decomposition as the attempt to differentiate functional and structural components of a system and localization as the assignment of responsibility for specific functions to specific structures, Bechtel and Richardson examine the usefulness of these heuristics as well as their fallibility--the sometimes false assumption underlying them that nature is significantly decomposable and hierarchically organized. When Discovering Complexity was originally published in 1993, few philosophers of science perceived the centrality of seeking mechanisms to explain phenomena in biology, relying instead on the model of nomological explanation advanced by the logical positivists (a model Bechtel and Richardson found to be utterly inapplicable to the examples from the life sciences in their study). Since then, mechanism and mechanistic explanation have become widely discussed. In a substantive new introduction to this MIT Press edition of their book, Bechtel and Richardson examine both philosophical and scientific developments in research on mechanistic models since 1993"--MIT CogNet.
Research --- Decomposition method. --- Localization theory. --- Complexity (Philosophy) --- Decomposition method --- Localization theory --- Physical Sciences & Mathematics --- Sciences - General --- Methodology. --- Methodology --- Method, Decomposition --- Philosophy --- Emergence (Philosophy) --- Categories (Mathematics) --- Homotopy theory --- Nilpotent groups --- Operations research --- Programming (Mathematics) --- System analysis --- PHILOSOPHY/Philosophy of Science & Technology --- Philosophy of science --- Research - Methodology. --- Research - Methodology
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Numerical analysis --- Mathematical physics --- Mathematical optimization --- Iterative methods (Mathematics) --- Decomposition (Mathematics) --- Decomposition method --- 517 --- Optimization (Mathematics) --- Optimization techniques --- Optimization theory --- Systems optimization --- Mathematical analysis --- Maxima and minima --- Operations research --- Simulation methods --- System analysis --- Iteration (Mathematics) --- Method, Decomposition --- Programming (Mathematics) --- Analysis --- 517 Analysis --- Economics, Mathematical --- Mathématiques économiques --- Mathématiques économiques. --- Analyse numérique. --- Economics, Mathematical. --- Mathématiques économiques --- Analyse numérique --- Numerical analysis. --- Formes quadratiques --- Programmation mathematique --- Programmation non lineaire
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Diebold and Yilmaz (2015) recently introduced variance decomposition networks as tools for quantifying and ranking the systemic risk of individual firms. The nature of these networks and their implied rankings depend on the choice decomposition method. The standard choice is the order invariant generalized forecast error variance decomposition of Pesaran and Shin (1998). The shares of the forecast error variation, however, do not add to unity, making difficult to compare risk ratings and risks contributions at two different points in time. As a solution, this paper suggests using the Lanne-Nyberg (2016) decomposition, which shares the order invariance property. To illustrate the differences between both decomposition methods, I analyzed the global financial system during 2001 – 2016. The analysis shows that different decomposition methods yield substantially different systemic risk and vulnerability rankings. This suggests caution is warranted when using rankings and risk contributions for guiding financial regulation and economic policy.
Decomposition method. --- Decomposition method --- Method, Decomposition --- Operations research --- Programming (Mathematics) --- System analysis --- Data processing. --- Banks and Banking --- Econometrics --- Finance: General --- Insurance --- Industries: Financial Services --- Time-Series Models --- Dynamic Quantile Regressions --- Dynamic Treatment Effect Models --- Diffusion Processes --- State Space Models --- Multiple or Simultaneous Equation Models: Other --- Banks --- Depository Institutions --- Micro Finance Institutions --- Mortgages --- Pension Funds --- Non-bank Financial Institutions --- Financial Instruments --- Institutional Investors --- Insurance Companies --- Actuarial Studies --- General Financial Markets: Government Policy and Regulation --- Finance --- Banking --- Insurance & actuarial studies --- Econometrics & economic statistics --- Insurance companies --- Systemic risk --- Vector autoregression --- Financial institutions --- Financial sector policy and analysis --- Econometric analysis --- Commercial banks --- Banks and banking --- Financial risk management --- United States
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Domain decomposition methods are divide and conquer methods for the parallel and computational solution of partial differential equations of elliptic or parabolic type. They include iterative algorithms for solving the discretized equations, techniques for non-matching grid discretizations and techniques for heterogeneous approximations. This book serves as an introduction to this subject, with emphasis on matrix formulations. The topics studied include Schwarz, substructuring, Lagrange multiplier and least squares-control hybrid formulations, multilevel methods, non-self adjoint problems, parabolic equations, saddle point problems (Stokes, porous media and optimal control), non-matching grid discretizations, heterogeneous models, fictitious domain methods, variational inequalities, maximum norm theory, eigenvalue problems, optimization problems and the Helmholtz scattering problem. Selected convergence theory is included.
informatica --- wiskunde --- informaticaonderzoek --- numerieke analyse --- differentiaalvergelijkingen --- algoritmen --- Computer science --- Partial differential equations --- Decomposition method --- Differential equations, Partial --- 519.63 --- 681.3 *G18 --- Method, Decomposition --- Operations research --- Programming (Mathematics) --- System analysis --- Numerical analysis --- 681.3 *G18 Partial differential equations: difference methods; elliptic equations; finite element methods; hyperbolic equations; method of lines; parabolic equations (Numerical analysis) --- Partial differential equations: difference methods; elliptic equations; finite element methods; hyperbolic equations; method of lines; parabolic equations (Numerical analysis) --- 519.63 Numerical methods for solution of partial differential equations --- Numerical methods for solution of partial differential equations --- Numerical solutions --- Decomposition method. --- Numerical solutions. --- Global analysis (Mathematics). --- Computer science. --- Engineering. --- Differential equations, partial. --- Analysis. --- Computational Science and Engineering. --- Mathematics of Computing. --- Computational Intelligence. --- Computational Mathematics and Numerical Analysis. --- Partial Differential Equations. --- Computer mathematics --- Electronic data processing --- Mathematics --- Construction --- Industrial arts --- Technology --- Informatics --- Science --- Analysis, Global (Mathematics) --- Differential topology --- Functions of complex variables --- Geometry, Algebraic --- Mathematics. --- Mathematical analysis. --- Analysis (Mathematics). --- Computer mathematics. --- Computer science—Mathematics. --- Computational intelligence. --- Partial differential equations. --- Intelligence, Computational --- Artificial intelligence --- Soft computing --- 517.1 Mathematical analysis --- Mathematical analysis
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