Branching Solutions to One-dimensional Variational Problems

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Author :
Publisher : World Scientific
ISBN 13 : 9812810714
Total Pages : 365 pages
Book Rating : 4.8/5 (128 download)

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Book Synopsis Branching Solutions to One-dimensional Variational Problems by : Alexander O. Ivanov

Download or read book Branching Solutions to One-dimensional Variational Problems written by Alexander O. Ivanov and published by World Scientific. This book was released on 2001 with total page 365 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book deals with the new class of one-dimensional variational problems OCo the problems with branching solutions. Instead of extreme curves (mappings of a segment to a manifold) we investigate extreme networks, which are mappings of graphs (one-dimensional cell complexes) to a manifold. Various applications of the approach are presented, such as several generalizations of the famous Steiner problem of finding the shortest network spanning given points of the plane. Contents: Preliminary Results; Networks Extremality Criteria; Linear Networks in R N; Extremals of Length Type Functionals: The Case of Parametric Networks; Extremals of Functionals Generated by Norms. Readership: Researchers in differential geometry and topology."

Branching Solutions To One-dimensional Variational Problems

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Author :
Publisher : World Scientific
ISBN 13 : 981449433X
Total Pages : 365 pages
Book Rating : 4.8/5 (144 download)

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Book Synopsis Branching Solutions To One-dimensional Variational Problems by : Alexandr Ivanov

Download or read book Branching Solutions To One-dimensional Variational Problems written by Alexandr Ivanov and published by World Scientific. This book was released on 2001-01-17 with total page 365 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book deals with the new class of one-dimensional variational problems — the problems with branching solutions. Instead of extreme curves (mappings of a segment to a manifold) we investigate extreme networks, which are mappings of graphs (one-dimensional cell complexes) to a manifold. Various applications of the approach are presented, such as several generalizations of the famous Steiner problem of finding the shortest network spanning given points of the plane.

Optimization and Approximation

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Author :
Publisher : Springer
ISBN 13 : 3319648438
Total Pages : 261 pages
Book Rating : 4.3/5 (196 download)

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Book Synopsis Optimization and Approximation by : Pablo Pedregal

Download or read book Optimization and Approximation written by Pablo Pedregal and published by Springer. This book was released on 2017-09-07 with total page 261 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a basic, initial resource, introducing science and engineering students to the field of optimization. It covers three main areas: mathematical programming, calculus of variations and optimal control, highlighting the ideas and concepts and offering insights into the importance of optimality conditions in each area. It also systematically presents affordable approximation methods. Exercises at various levels have been included to support the learning process.

Differential Geometric Structures and Applications

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Author :
Publisher : Springer Nature
ISBN 13 : 3031505867
Total Pages : 323 pages
Book Rating : 4.0/5 (315 download)

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Book Synopsis Differential Geometric Structures and Applications by : Vladimir Rovenski

Download or read book Differential Geometric Structures and Applications written by Vladimir Rovenski and published by Springer Nature. This book was released on with total page 323 pages. Available in PDF, EPUB and Kindle. Book excerpt:

The Steiner Ratio

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Publisher : Springer Science & Business Media
ISBN 13 : 1475767986
Total Pages : 247 pages
Book Rating : 4.4/5 (757 download)

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Book Synopsis The Steiner Ratio by : Dietmar Cieslik

Download or read book The Steiner Ratio written by Dietmar Cieslik and published by Springer Science & Business Media. This book was released on 2013-03-14 with total page 247 pages. Available in PDF, EPUB and Kindle. Book excerpt: Steiner's Problem concerns finding a shortest interconnecting network for a finite set of points in a metric space. A solution must be a tree, which is called a Steiner Minimal Tree (SMT), and may contain vertices different from the points which are to be connected. Steiner's Problem is one of the most famous combinatorial-geometrical problems, but unfortunately it is very difficult in terms of combinatorial structure as well as computational complexity. However, if only a Minimum Spanning Tree (MST) without additional vertices in the interconnecting network is sought, then it is simple to solve. So it is of interest to know what the error is if an MST is constructed instead of an SMT. The worst case for this ratio running over all finite sets is called the Steiner ratio of the space. The book concentrates on investigating the Steiner ratio. The goal is to determine, or at least estimate, the Steiner ratio for many different metric spaces. The author shows that the description of the Steiner ratio contains many questions from geometry, optimization, and graph theory. Audience: Researchers in network design, applied optimization, and design of algorithms.

The Nature of Motive Force

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Publisher : Springer
ISBN 13 : 3642544711
Total Pages : 171 pages
Book Rating : 4.6/5 (425 download)

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Book Synopsis The Nature of Motive Force by : Achintya Kumar Pramanick

Download or read book The Nature of Motive Force written by Achintya Kumar Pramanick and published by Springer. This book was released on 2014-08-23 with total page 171 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this monograph Prof. Pramanick explicates the law of motive force, a fundamental law of nature that can be observed and appreciated as an addition to the existing laws of thermodynamics. This unmistakable and remarkable tendency of nature is equally applicable to all other branches of studies. He first conceptualized the law of motive force in 1989, when he was an undergraduate student. Here he reports various applications of the law in the area of thermodynamics, heat transfer, fluid mechanics and solid mechanics, and shows how it is possible to solve analytically century-old unsolved problems through its application. This book offers a comprehensive account of the law and its relation to other laws and principles, such as the generalized conservation principle, variational formulation, Fermat’s principle, Bejan’s constructal law, entropy generation minimization, Bejan’s method of intersecting asymptotes and equipartition principle. Furthermore, the author addresses some interrelated fundamental problems of contemporary interest, especially to thermodynamicists, by combining analytical methods, physical reasoning and the proposed law of motive force. This foundational work is a valuable reading for both students and researchers in exact as well as non-exact sciences and, at the same time, a pleasant learning experience for the novice.

Shortest Connectivity

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Publisher : Springer Science & Business Media
ISBN 13 : 9780387235387
Total Pages : 282 pages
Book Rating : 4.2/5 (353 download)

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Book Synopsis Shortest Connectivity by : Dietmar Cieslik

Download or read book Shortest Connectivity written by Dietmar Cieslik and published by Springer Science & Business Media. This book was released on 2004-11-19 with total page 282 pages. Available in PDF, EPUB and Kindle. Book excerpt: The aim in this graduate level text is to outline the key mathematical concepts that underpin these important questions in applied mathematics. These concepts involve discrete mathematics (particularly graph theory), optimization, computer science, and several ideas in biology.

Phase Optimization Problems

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Publisher : John Wiley & Sons
ISBN 13 : 9783527629831
Total Pages : 319 pages
Book Rating : 4.6/5 (298 download)

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Book Synopsis Phase Optimization Problems by : Olena Bulatsyk

Download or read book Phase Optimization Problems written by Olena Bulatsyk and published by John Wiley & Sons. This book was released on 2010-03-09 with total page 319 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the only book available in English language to consider inverse and optimization problems in which phase field distributions are used as optimizing functions. The mathematical technique used relates to nonlinear integral equations, with numerical methods developed and applied to concrete problems. Written by a team of outstanding and renowned experts in the field, this monograph will appeal to all those dealing with the investigation, design, and optimization of electromagnetic and acoustic radiating and transmitting devices and systems, while also being of interest to mathematicians working on the theory of nonlinear integral equations.

U.S. Government Research & Development Reports

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Publisher :
ISBN 13 :
Total Pages : 212 pages
Book Rating : 4.:/5 (31 download)

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Book Synopsis U.S. Government Research & Development Reports by :

Download or read book U.S. Government Research & Development Reports written by and published by . This book was released on 1970 with total page 212 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Nonlinear Symmetries and Nonlinear Equations

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Publisher : Springer Science & Business Media
ISBN 13 : 9401110182
Total Pages : 275 pages
Book Rating : 4.4/5 (11 download)

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Book Synopsis Nonlinear Symmetries and Nonlinear Equations by : G. Gaeta

Download or read book Nonlinear Symmetries and Nonlinear Equations written by G. Gaeta and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 275 pages. Available in PDF, EPUB and Kindle. Book excerpt: The study of (nonlinear) dift"erential equations was S. Lie's motivation when he created what is now known as Lie groups and Lie algebras; nevertheless, although Lie group and algebra theory flourished and was applied to a number of dift"erent physical situations -up to the point that a lot, if not most, of current fun damental elementary particles physics is actually (physical interpretation of) group theory -the application of symmetry methods to dift"erential equations remained a sleeping beauty for many, many years. The main reason for this lies probably in a fact that is quite clear to any beginner in the field. Namely, the formidable comple:rity ofthe (algebraic, not numerical!) computations involved in Lie method. I think this does not account completely for this oblivion: in other fields of Physics very hard analytical computations have been worked through; anyway, one easily understands that systems of dOlens of coupled PDEs do not seem very attractive, nor a very practical computational tool.

Russian Mathematical Surveys

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Publisher :
ISBN 13 :
Total Pages : 648 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Russian Mathematical Surveys by :

Download or read book Russian Mathematical Surveys written by and published by . This book was released on 2000 with total page 648 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Blow-up for Higher-Order Parabolic, Hyperbolic, Dispersion and Schrodinger Equations

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Author :
Publisher : CRC Press
ISBN 13 : 1482251736
Total Pages : 565 pages
Book Rating : 4.4/5 (822 download)

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Book Synopsis Blow-up for Higher-Order Parabolic, Hyperbolic, Dispersion and Schrodinger Equations by : Victor A. Galaktionov

Download or read book Blow-up for Higher-Order Parabolic, Hyperbolic, Dispersion and Schrodinger Equations written by Victor A. Galaktionov and published by CRC Press. This book was released on 2014-09-22 with total page 565 pages. Available in PDF, EPUB and Kindle. Book excerpt: Blow-up for Higher-Order Parabolic, Hyperbolic, Dispersion and Schrodinger Equations shows how four types of higher-order nonlinear evolution partial differential equations (PDEs) have many commonalities through their special quasilinear degenerate representations. The authors present a unified approach to deal with these quasilinear PDEs.The book

Implicit Functions and Solution Mappings

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Publisher : Springer
ISBN 13 : 149391037X
Total Pages : 495 pages
Book Rating : 4.4/5 (939 download)

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Book Synopsis Implicit Functions and Solution Mappings by : Asen L. Dontchev

Download or read book Implicit Functions and Solution Mappings written by Asen L. Dontchev and published by Springer. This book was released on 2014-06-18 with total page 495 pages. Available in PDF, EPUB and Kindle. Book excerpt: The implicit function theorem is one of the most important theorems in analysis and its many variants are basic tools in partial differential equations and numerical analysis. This second edition of Implicit Functions and Solution Mappings presents an updated and more complete picture of the field by including solutions of problems that have been solved since the first edition was published, and places old and new results in a broader perspective. The purpose of this self-contained work is to provide a reference on the topic and to provide a unified collection of a number of results which are currently scattered throughout the literature. Updates to this edition include new sections in almost all chapters, new exercises and examples, updated commentaries to chapters and an enlarged index and references section.

Bifurcation Theory of Functional Differential Equations

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Publisher : Springer Science & Business Media
ISBN 13 : 1461469929
Total Pages : 295 pages
Book Rating : 4.4/5 (614 download)

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Book Synopsis Bifurcation Theory of Functional Differential Equations by : Shangjiang Guo

Download or read book Bifurcation Theory of Functional Differential Equations written by Shangjiang Guo and published by Springer Science & Business Media. This book was released on 2013-07-30 with total page 295 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a crash course on various methods from the bifurcation theory of Functional Differential Equations (FDEs). FDEs arise very naturally in economics, life sciences and engineering and the study of FDEs has been a major source of inspiration for advancement in nonlinear analysis and infinite dimensional dynamical systems. The book summarizes some practical and general approaches and frameworks for the investigation of bifurcation phenomena of FDEs depending on parameters with chap. This well illustrated book aims to be self contained so the readers will find in this book all relevant materials in bifurcation, dynamical systems with symmetry, functional differential equations, normal forms and center manifold reduction. This material was used in graduate courses on functional differential equations at Hunan University (China) and York University (Canada).

Reviews in Partial Differential Equations, 1980-86, as Printed in Mathematical Reviews

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Publisher :
ISBN 13 :
Total Pages : 832 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Reviews in Partial Differential Equations, 1980-86, as Printed in Mathematical Reviews by :

Download or read book Reviews in Partial Differential Equations, 1980-86, as Printed in Mathematical Reviews written by and published by . This book was released on 1988 with total page 832 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Variational Analysis

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Publisher : Springer Science & Business Media
ISBN 13 : 3642024319
Total Pages : 747 pages
Book Rating : 4.6/5 (42 download)

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Book Synopsis Variational Analysis by : R. Tyrrell Rockafellar

Download or read book Variational Analysis written by R. Tyrrell Rockafellar and published by Springer Science & Business Media. This book was released on 2009-06-26 with total page 747 pages. Available in PDF, EPUB and Kindle. Book excerpt: From its origins in the minimization of integral functionals, the notion of variations has evolved greatly in connection with applications in optimization, equilibrium, and control. This book develops a unified framework and provides a detailed exposition of variational geometry and subdifferential calculus in their current forms beyond classical and convex analysis. Also covered are set-convergence, set-valued mappings, epi-convergence, duality, and normal integrands.

Finite Element Approximation of Variational Problems and Applications

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Author :
Publisher : Longman Scientific and Technical
ISBN 13 :
Total Pages : 266 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Finite Element Approximation of Variational Problems and Applications by : M. Křížek

Download or read book Finite Element Approximation of Variational Problems and Applications written by M. Křížek and published by Longman Scientific and Technical. This book was released on 1990 with total page 266 pages. Available in PDF, EPUB and Kindle. Book excerpt: