Branching Solutions To One Dimensional Variational Problems

Author : Alexander O. Ivanov
Publisher : World Scientific
ISBN 13 : 9810240600
Total Pages : 365 pages
Book Rating : 4.08/5 ( download)

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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 study 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) it investigates 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.

Author : Alexander O. Ivanov
Publisher : World Scientific
ISBN 13 : 9812810714
Total Pages : 365 pages
Book Rating : 4.17/5 ( download)

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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."

Author : Giuseppe Buttazzo
Publisher : Oxford University Press
ISBN 13 : 9780198504658
Total Pages : 282 pages
Book Rating : 4.59/5 ( download)

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Download or read book One-dimensional Variational Problems written by Giuseppe Buttazzo and published by Oxford University Press. This book was released on 1998 with total page 282 pages. Available in PDF, EPUB and Kindle. Book excerpt: While easier to solve and accessible to a broader range of students, one-dimensional variational problems and their associated differential equations exhibit many of the same complex behavior of higher-dimensional problems. This book, the first moden introduction, emphasizes direct methods and provides an exceptionally clear view of the underlying theory.

Author : Pablo Pedregal
Publisher : Springer
ISBN 13 : 3319648438
Total Pages : 254 pages
Book Rating : 4.39/5 ( download)

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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 254 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.

Author : Dietmar Cieslik
Publisher : Springer Science & Business Media
ISBN 13 : 1475767986
Total Pages : 247 pages
Book Rating : 4.88/5 ( download)

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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.

Author : Achintya Kumar Pramanick
Publisher : Springer
ISBN 13 : 3642544711
Total Pages : 171 pages
Book Rating : 4.12/5 ( download)

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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.

Author : Dietmar Cieslik
Publisher : Springer Science & Business Media
ISBN 13 : 9780387235387
Total Pages : 282 pages
Book Rating : 4.88/5 ( download)

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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.

Author : Vladimir Rovenski
Publisher : Springer Nature
ISBN 13 : 3031505867
Total Pages : 323 pages
Book Rating : 4.67/5 ( download)

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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:

Author : Olena Bulatsyk
Publisher : John Wiley & Sons
ISBN 13 : 9783527629831
Total Pages : 319 pages
Book Rating : 4.31/5 ( download)

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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.

Author : Vasile Staicu
Publisher : Springer Science & Business Media
ISBN 13 : 3764384824
Total Pages : 436 pages
Book Rating : 4.21/5 ( download)

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Download or read book Differential Equations, Chaos and Variational Problems written by Vasile Staicu and published by Springer Science & Business Media. This book was released on 2008-03-12 with total page 436 pages. Available in PDF, EPUB and Kindle. Book excerpt: This collection of original articles and surveys written by leading experts in their fields is dedicated to Arrigo Cellina and James A. Yorke on the occasion of their 65th birthday. The volume brings the reader to the border of research in differential equations, a fast evolving branch of mathematics that, besides being a main subject for mathematicians, is one of the mathematical tools most used both by scientists and engineers.