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ISBN: 1281760013 9786611760014 0080875440 0444881344 Year: 1990 Publisher: Amsterdam ; New York : New York, N.Y., U.S.A. : North-Holland ; Sole distributors for the U.S. and Canada, Elsevier Science Pub. Co.,
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Singular perturbations, one of the central topics in asymptotic analysis, also play a special role in describing physical phenomena such as the propagation of waves in media in the presence of small energy dissipations or dispersions, the appearance of boundary or interior layers in fluid and gas dynamics, as well as in elasticity theory, semi-classical asymptotic approximations in quantum mechanics etc. Elliptic and coercive singular perturbations are of special interest for the asymptotic solution of problems which are characterized by boundary layer phenomena, e.g. the theory of thin buckli
Perturbation (Mathematics) --- Singular perturbations (Mathematics) --- Differential equations --- Perturbation equations --- Perturbation theory --- Approximation theory --- Dynamics --- Functional analysis --- Mathematical physics --- Asymptotic theory
ISBN: 0444821708 9780444821706 9786611034184 1281034185 0080542751 9780080542751 Year: 1996 Volume: 42 Publisher: Amsterdam ; New York : Elsevier,
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The subject of this textbook is the mathematical theory of singular perturbations, which despite its respectable history is still in a state of vigorous development. Singular perturbations of cumulative and of boundary layer type are presented. Attention has been given to composite expansions of solutions of initial and boundary value problems for ordinary and partial differential equations, linear as well as quasilinear; also turning points are discussed. The main emphasis lies on several methods of approximation for solutions of singularly perturbed differential equations and on the mathem
Singular perturbations (Mathematics) --- Perturbations singulières (Mathématiques) --- Perturbations singulières (Mathématiques) --- ELSEVIER-B EPUB-LIV-FT --- Singularities (Mathematics) --- Geometry, Algebraic --- Differential equations --- Perturbation (Mathematics) --- Asymptotic theory
ISBN: 0720426065 0444104380 0444104380 9786611773359 1281773352 0080871178 9780444104380 9780080871172 9781281773357 6611773355 9780720426069 Year: 1973 Volume: 6 Publisher: Amsterdam : New York : North-Holland Pub. Co. ; American Elsevier Pub. Co.,
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Matched asymptotic expansions and singular perturbations
517.928 --- #WSTE:STER --- Asymptotic methods in ordinary differential equation theory. Averaging methods. Invariant manifolds --- 517.928 Asymptotic methods in ordinary differential equation theory. Averaging methods. Invariant manifolds --- Asymptotic expansions. --- Differential equations --- Singular perturbations (Mathematics). --- Numerical solutions. --- Perturbation (Mathematics) --- Équations différentielles --- Perturbation (mathématiques) --- Singular perturbations (Mathematics) --- Asymptotic developments --- Asymptotes --- Convergence --- Difference equations --- Divergent series --- Functions --- Numerical analysis --- 517.91 Differential equations --- Asymptotic theory --- Differential equations. --- Équations différentielles. --- Perturbation (mathématiques) --- Perturbations singulieres
ISBN: 9781558608726 1558608729 1493303732 9786611015053 1281015059 0080498248 9780080498249 9781281015051 6611015051 Year: 2005 Publisher: San Francisco Morgan Kaufmann
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Stochastic local search (SLS) algorithms are among the most prominent and successful techniques for solving computationally difficult problems in many areas of computer science and operations research, including propositional satisfiability, constraint satisfaction, routing, and scheduling. SLS algorithms have also become increasingly popular for solving challenging combinatorial problems in many application areas, such as e-commerce and bioinformatics.Hoos and Stützle offer the first systematic and unified treatment of SLS algorithms. In this groundbreaking new book, they examine the
Stochastic programming --- Algorithms --- Combinatorial analysis --- Programmation stochastique --- Algorithmes --- Analyse combinatoire --- 681.3*G13 --- Numerical linear algebra: conditioning; determinants; eigenvalues and eigenvectors; error analysis; linear systems; matrix inversion; pseudoinverses; singular value decomposition; sparse, structured, and very large systems (direct and iterative methods) --- Linear programming --- Combinatorics --- Algebra --- Mathematical analysis --- Algorism --- Arithmetic --- Foundations --- Algorithmes. --- Programmation stochastique. --- Analyse combinatoire. --- Algorithms. --- Combinatorial analysis. --- Stochastic programming.
ISBN: 1281984833 9786611984830 0080875300 0444853065 Year: 1979 Volume: 9 Publisher: Amsterdam North-Holland
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Asymptotic Analysis of Singular Perturbations
Differential equations --- Perturbation (Mathematics) --- Boundary layer. --- Asymptotic theory. --- Aerodynamics --- Fluid dynamics --- Perturbation equations --- Perturbation theory --- Approximation theory --- Dynamics --- Functional analysis --- Mathematical physics --- 517.91 Differential equations --- Boundary layer --- Equations differentielles --- Perturbation (Mathématiques) --- Couche limite --- Asymptotic theory --- Théorie asymptotique --- ELSEVIER-B EPUB-LIV-FT --- 517.91 --- Numerical solutions --- Differential equations. --- Singular perturbations (Mathematics) --- Équations différentielles. --- Perturbations singulières (mathématiques) --- Theorie asymptotique
ISBN: 9780262220804 0262220806 9780262513470 0262513471 0262257157 1282096834 1429477741 9780262257152 9781429477741 0262299984 Year: 2009 Publisher: [Piscataqay, New Jersey] Cambridge, Massachusetts IEEE Xplore MIT Press
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"Online decision making under uncertainty and time constraints represents one of the most challenging problems for robust intelligent agents. In an increasingly dynamic, interconnected, and real-time world, intelligent systems must adapt dynamically to uncertainties, update existing plans to accommodate new requests and events, and produce high-quality decisions under severe time constraints. Such online decision-making applications are becoming increasingly common: ambulance dispatching and emergency city-evacuation routing, for example, are inherently online decision-making problems; other applications include packet scheduling for Internet communications and reservation systems. This book presents a novel framework, online stochastic optimization, to address this challenge. This framework assumes that the distribution of future requests, or an approximation thereof, is available for sampling, as is the case in many applications that make either historical data or predictive models available. It assumes additionally that the distribution of future requests is independent of current decisions, which is also the case in a variety of applications and holds significant computational advantages. The book presents several online stochastic algorithms implementing the framework, provides performance guarantees, and demonstrates a variety of applications. It discusses how to relax some of the assumptions in using historical sampling and machine learning and analyzes different underlying algorithmic problems. And finally, the book discusses the framework's possible limitations and suggests directions for future research."--Publisher's website.
Stochastic processes --- Combinatorial optimization --- Online algorithms --- Operations research --- Processus stochastiques --- Optimisation combinatoire --- Recherche opérationnelle --- Stochastic processes. --- Combinatorial optimization. --- Online algorithms. --- Operations research. --- 681.3*G13 --- Operational analysis --- Operational research --- Industrial engineering --- Management science --- Research --- System theory --- Computer algorithms --- Online data processing --- Optimization, Combinatorial --- Combinatorial analysis --- Mathematical optimization --- Random processes --- Probabilities --- Numerical linear algebra: conditioning; determinants; eigenvalues and eigenvectors; error analysis; linear systems; matrix inversion; pseudoinverses; singular value decomposition; sparse, structured, and very large systems (direct and iterative methods) --- COMPUTER SCIENCE/General
ISBN: 0444853065 9786611984830 1281984833 0080875300 9780444853066 9780080875309 9781281984838 6611984836 Year: 1979 Volume: 9 Publisher: Amsterdam ; New York : New York : North-Holland Pub. Co. ; Sole distributors for the U.S.A. and Canada, Elsevier North-Holland,
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Asymptotic Analysis of Singular Perturbations
Differential equations --- Perturbation (Mathematics) --- Boundary layer --- Equations differentielles --- Perturbation (Mathématiques) --- Couche limite --- Asymptotic theory --- Théorie asymptotique --- 517 --- -Perturbation (Mathematics) --- Perturbation equations --- Perturbation theory --- Approximation theory --- Dynamics --- Functional analysis --- Mathematical physics --- Equations, Differential --- Bessel functions --- Calculus --- Aerodynamics --- Fluid dynamics --- Analysis --- Boundary layer. --- Asymptotic theory. --- 517.91 Differential equations --- 517 Analysis --- Perturbation (Mathematics). --- Perturbation (Mathématiques) --- Théorie asymptotique --- ELSEVIER-B EPUB-LIV-FT --- 517.91 --- Numerical solutions --- Singular perturbations (Mathematics) --- Équations différentielles --- Perturbations singulières (mathématiques) --- Numerical solutions&delete& --- Differential equations. --- Équations différentielles. --- Perturbations singulières (mathématiques) --- Differential equations - Asymptotic theory --- Theorie asymptotique
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