Advances in Mechanics and Mathematics III

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Dedicated to Gilbert Strang on the Occasion of his 70th Birthday – Advances in Mechanics and Mathematics 100, Advances in Mechanics and Mathematics 17

ISBN: 0387757139
ISBN 13: 9780387757131
Herausgeber: David Y Gao/Hanif D Sherali
Verlag: Springer Verlag GmbH
Umfang: xxviii, 520 S., 112 s/w Illustr., 20 s/w Fotos, 92 s/w Zeichng.
Erscheinungsdatum: 13.03.2009
Auflage: 1/2009
Produktform: Gebunden/Hardback
Einband: GEB

The articles that comprise this distinguished annual volume for the Advances in Mechanics and Mathematics series have been written in honor of Gilbert Strang, a world renowned mathematician and exceptional person. Written by leading experts in complementarity, duality, global optimization, and quantum computations, this collection reveals the beauty of these mathematical disciplines and investigates recent developments in global optimization, nonconvex and nonsmooth analysis, nonlinear programming, theoretical and engineering mechanics, large scale computation, quantum algorithms and computation, and information theory. Much of the material, including the various methodologies, is written for nonexperts and is intended to stimulate graduate students and young faculty to venture into this rich domain of research; it will also benefit researchers and practitioners in several areas of applied mathematics, mechanics, and engineering.

Artikelnummer: 1380019 Kategorie:

Beschreibung

InhaltsangabeMaximum Flows and Minimum Cuts in the Plane.- Variational Principles and Residual Bounds for Nonpotential Equations.- Adaptive Finite Element Solution of Variational Inequalities with Application in Contact Problems.- Time-Frequency Analysis of Brain Neurodynamics.- Nonconvex Optimization for Communication Networks.- Multilevel (Hierarchical) Optimization: Complexity Issues, Optimality Conditions, Algorithms.- Central Path Curvature and Iteration-Complexity for Redundant Klee-Minty Cubes.- Canonical Duality Theory: Connections between Nonconvex Mechanics and Global Optimization.- Quantum Computation and Quantum Operations.- Ekeland Duality as a Paradigm.- Global Optimization in Practice:State of the Art and Perspectives.- Two-Stage Stochastic Mixed-Integer Programs: Algorithms and Insights.- Dualistic Riemannian Manifold Structure Induced from Convex Functions.- NMR Quantum Computing.

Inhaltsverzeichnis

Constrained Optimism.- Biographical Summary of Professor Gilbert Strang.- List of Publications of Professor Gilbert Strang.- 1 Maximum Flows and Minimum Cuts in the Plane.- 2 Variational Principles and Residual Bounds for Non-Potential Equations.- 3 Adaptive Finite Element Solution of Variational Inequalities with Applications in Contact Problems.- 4 Time-Frquency Analysis of Brain Neuro-Dynamics.- 5 Nonconvex Optimization in Communication Systems.- 6 Multilevel (Hierarchical) Optimization: Complexity Issues, Optimality Conditions, Algorithms.- 7 Central Path Curvature and Iteration-Complexity for Redundant Klee-Minty Cubes.- 8 Canonical Duality Theory: Connections Between Nonconvex Mechanics and Global Optimization.- 9 Quantum Computation and Quantum Operations.- 10 Ekeland Duality as a Paradigm.- 11 Global Optimization in Practice: State-of-Art and Perspectives.- 12 Two-Stage Stochastic Mixed-Integer Programs: Algorithms and Insights.- 13 Dualistic Reimannian Manifold Structure Induced From Convex Functions.- 14 NMR Quantum Computing.

Autorenporträt

Gao has written five books with Springer: Complementarity, Duality and Symmetry in Nonlinear Mechanics.- Advances in Mechanics and Mathematics Volume I.- Advances in Mechanics and Mathematics Volume II.- Nonsmooth/Nonconvex Mechanics.-Duality Principles in Nonconvex Systems. Sherali has written Reformulation-Linearization Technique for Solving Discrete and Continuous Nonconvex Problems with Springer as well as two other books with John Wiley & Sons.

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