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Variational Methods with Applications in Science and Engineering

Variational Methods with Applications in Science and Engineering Author Kevin W. Cassel
ISBN-10 9781107022584
Release 2013-07-22
Pages 432
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This book reflects the strong connection between calculus of variations and the applications for which variational methods form the foundation.



Variational Methods with Applications to Science and Engineering

Variational Methods with Applications to Science and Engineering Author Kevin W. Cassel
ISBN-10 1107059046
Release 2013
Pages 434
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Variational Methods with Applications to Science and Engineering has been writing in one form or another for most of life. You can find so many inspiration from Variational Methods with Applications to Science and Engineering also informative, and entertaining. Click DOWNLOAD or Read Online button to get full Variational Methods with Applications to Science and Engineering book for free.



Variational Methods in Mathematics Science and Engineering

Variational Methods in Mathematics  Science and Engineering Author Karel Rektorys
ISBN-10 9789401164504
Release 2012-12-06
Pages 571
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The impulse which led to the writing of the present book has emerged from my many years of lecturing in special courses for selected students at the College of Civil Engineering of the Tech nical University in Prague, from experience gained as supervisor and consultant to graduate students-engineers in the field of applied mathematics, and - last but not least - from frequent consultations with technicians as well as with physicists who have asked for advice in overcoming difficulties encountered in solving theoretical problems. Even though a varied combination of problems of the most diverse nature was often in question, the problems discussed in this book stood forth as the most essential to this category of specialists. The many discussions I have had gave rise to considerations on writing a book which should fill the rather unfortunate gap in our literature. The book is designed, in the first place, for specialists in the fields of theoretical engineering and science. However, it was my aim that the book should be of interest to mathematicians as well. I have been well aware what an ungrateful task it may be to write a book of the present type, and what problems such an effort can bring: Technicians and physicists on the one side, and mathematicians on the other, are often of diametrically opposing opinions as far as books con ceived for both these categories are concerned.



Variational Methods in Optimization

Variational Methods in Optimization Author Donald R. Smith
ISBN-10 0486404552
Release 1998
Pages 378
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Highly readable text elucidates applications of the chain rule of differentiation, integration by parts, parametric curves, line integrals, double integrals, and elementary differential equations. 1974 edition.



Variational Methods in Nuclear Reactor Physics

Variational Methods in Nuclear Reactor Physics Author Weston M. Jr. Stacey
ISBN-10 9780323160438
Release 2012-12-02
Pages 192
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Nuclear Science and Technology, Volume 10: Variational Methods in Nuclear Reactor Physics presents the mathematical methods of a variational origin that are useful in obtaining approximate solutions to science and engineering problems. This book is composed of five chapters and begins with a discussion on the variation principles for physical systems described by both inhomogeneous and homogeneous equations to develop a generalized perturbation theory. Chapter 2 deals with the applications of variational estimates and generalized perturbation theory to neutron transport problems. Chapter 3 covers the variation principles of the Lagrangian form that are constructed for a general, linear- time-dependent process and for the specific case of the P1 neutron kinetics equations. Chapter 4 presents the general procedure for the variational derivation of synthesis approximations and their applications to problems in reactor physics. This chapter also examines the relationship of the spatial synthesis and finite-element method and a hybrid method that combines features of both methods. Chapter 5 describes the relationship of variation theory with the Hamilton-Jacobi theory and with the optimization theories of the maximum principle and dynamic programming. Nuclear physicists and researchers will find this text invaluable.



Variational Methods in Image Processing

Variational Methods in Image Processing Author Luminita A. Vese
ISBN-10 9781439849743
Release 2015-11-18
Pages 386
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Variational Methods in Image Processing presents the principles, techniques, and applications of variational image processing. The text focuses on variational models, their corresponding Euler–Lagrange equations, and numerical implementations for image processing. It balances traditional computational models with more modern techniques that solve the latest challenges introduced by new image acquisition devices. The book addresses the most important problems in image processing along with other related problems and applications. Each chapter presents the problem, discusses its mathematical formulation as a minimization problem, analyzes its mathematical well-posedness, derives the associated Euler–Lagrange equations, describes the numerical approximations and algorithms, explains several numerical results, and includes a list of exercises. MATLAB® codes are available online. Filled with tables, illustrations, and algorithms, this self-contained textbook is primarily for advanced undergraduate and graduate students in applied mathematics, scientific computing, medical imaging, computer vision, computer science, and engineering. It also offers a detailed overview of the relevant variational models for engineers, professionals from academia, and those in the image processing industry.



The Method of Weighted Residuals and Variational Principles

The Method of Weighted Residuals and Variational Principles Author Bruce A. Finlayson
ISBN-10 0122570502
Release 1972-01-01
Pages 412
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The Method of Weighted Residuals and Variational Principles has been writing in one form or another for most of life. You can find so many inspiration from The Method of Weighted Residuals and Variational Principles also informative, and entertaining. Click DOWNLOAD or Read Online button to get full The Method of Weighted Residuals and Variational Principles book for free.



Variational Methods in Nonconservative Phenomena

Variational Methods in Nonconservative Phenomena Author B. D. Vujanovic
ISBN-10 0080926428
Release 1989-05-01
Pages 371
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This book provides a comprehensive survey of analytic and approximate solutions of problems of applied mechanics, with particular emphasis on nonconservative phenomena. Include



Variational Methods for Engineers with Matlab

Variational Methods for Engineers with Matlab Author Eduardo Souza de Cursi
ISBN-10 9781848219144
Release 2015-10-19
Pages 430
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This book is issued from a 30 years’ experience on the presentation of variational methods to successive generations of students and researchers in Engineering. It gives a comprehensive, pedagogical and engineer-oriented presentation of the foundations of variational methods and of their use in numerical problems of Engineering. Particular applications to linear and nonlinear systems of equations, differential equations, optimization and control are presented. MATLAB programs illustrate the implementation and make the book suitable as a textbook and for self-study. The evolution of knowledge, of the engineering studies and of the society in general has led to a change of focus from students and researchers. New generations of students and researchers do not have the same relations to mathematics as the previous ones. In the particular case of variational methods, the presentations used in the past are not adapted to the previous knowledge, the language and the centers of interest of the new generations. Since these methods remain a core knowledge – thus essential - in many fields (Physics, Engineering, Applied Mathematics, Economics, Image analysis …), a new presentation is necessary in order to address variational methods to the actual context.



Variational Methods in Molecular Modeling

Variational Methods in Molecular Modeling Author Jianzhong Wu
ISBN-10 9789811025020
Release 2016-12-17
Pages 324
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This book presents tutorial overviews for many applications of variational methods to molecular modeling. Topics discussed include the Gibbs-Bogoliubov-Feynman variational principle, square-gradient models, classical density functional theories, self-consistent-field theories, phase-field methods, Ginzburg-Landau and Helfrich-type phenomenological models, dynamical density functional theory, and variational Monte Carlo methods. Illustrative examples are given to facilitate understanding of the basic concepts and quantitative prediction of the properties and rich behavior of diverse many-body systems ranging from inhomogeneous fluids, electrolytes and ionic liquids in micropores, colloidal dispersions, liquid crystals, polymer blends, lipid membranes, microemulsions, magnetic materials and high-temperature superconductors. All chapters are written by leading experts in the field and illustrated with tutorial examples for their practical applications to specific subjects. With emphasis placed on physical understanding rather than on rigorous mathematical derivations, the content is accessible to graduate students and researchers in the broad areas of materials science and engineering, chemistry, chemical and biomolecular engineering, applied mathematics, condensed-matter physics, without specific training in theoretical physics or calculus of variations.



Variational Methods in Statistics

Variational Methods in Statistics Author Rustagi
ISBN-10 9780080956305
Release 1976-03-15
Pages 235
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Variational Methods in Statistics



Variational Methods in Optimum Control Theory

Variational Methods in Optimum Control Theory Author Petrov
ISBN-10 9780080955537
Release 1968
Pages 215
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Variational Methods in Optimum Control Theory



Variational Analysis and Aerospace Engineering

Variational Analysis and Aerospace Engineering Author Aldo Frediani
ISBN-10 9783319456805
Release 2017-01-28
Pages 524
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This book presents papers surrounding the extensive discussions that took place from the ‘Variational Analysis and Aerospace Engineering’ workshop held at the Ettore Majorana Foundation and Centre for Scientific Culture in 2015. Contributions to this volume focus on advanced mathematical methods in aerospace engineering and industrial engineering such as computational fluid dynamics methods, optimization methods in aerodynamics, optimum controls, dynamic systems, the theory of structures, space missions, flight mechanics, control theory, algebraic geometry for CAD applications, and variational methods and applications. Advanced graduate students, researchers, and professionals in mathematics and engineering will find this volume useful as it illustrates current collaborative research projects in applied mathematics and aerospace engineering.



Variational Methods for Structural Optimization

Variational Methods for Structural Optimization Author Andrej Cherkaev
ISBN-10 9781461211884
Release 2012-12-06
Pages 548
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This book bridges a gap between a rigorous mathematical approach to variational problems and the practical use of algorithms of structural optimization in engineering applications. The foundations of structural optimization are presented in sufficiently simple form as to make them available for practical use.



Variational Methods

Variational Methods Author Michael Struwe
ISBN-10 9783662032121
Release 2013-04-17
Pages 272
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Hilbert's talk at the second International Congress of 1900 in Paris marked the beginning of a new era in the calculus of variations. A development began which, within a few decades, brought tremendous success, highlighted by the 1929 theorem of Ljusternik and Schnirelman on the existence of three distinct prime closed geodesics on any compact surface of genus zero, and the 1930/31 solution of Plateau's problem by Douglas and Radò. The book gives a concise introduction to variational methods and presents an overview of areas of current research in this field. This new edition has been substantially enlarged, a new chapter on the Yamabe problem has been added and the references have been updated. All topics are illustrated by carefully chosen examples, representing the current state of the art in their field.



Applied Functional Analysis and Variational Methods in Engineering

Applied Functional Analysis and Variational Methods in Engineering Author J. N AUTOR REDDY
ISBN-10 STANFORD:36105023485589
Release 1991
Pages 546
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Applied Functional Analysis and Variational Methods in Engineering has been writing in one form or another for most of life. You can find so many inspiration from Applied Functional Analysis and Variational Methods in Engineering also informative, and entertaining. Click DOWNLOAD or Read Online button to get full Applied Functional Analysis and Variational Methods in Engineering book for free.



Variational Methods in the Mechanics of Solids

Variational Methods in the Mechanics of Solids Author S. Nemat-Nasser
ISBN-10 9781483145839
Release 2017-01-31
Pages 428
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Variational Methods in the Mechanics of Solids contains the proceedings of the International Union of Theoretical and Applied Mechanics Symposium on Variational Methods in the Mechanics of Solids, held at Northwestern University in Evanston, Illinois, on September 11-13, 1978. The papers focus on advances in the application of variational methods to a variety of mathematically and technically significant problems in solid mechanics. The discussions are organized around three themes: thermomechanical behavior of composites, elastic and inelastic boundary value problems, and elastic and inelastic dynamic problems. This book is comprised of 58 chapters and opens by addressing some questions of asymptotic expansions connected with composite and with perforated materials. The following chapters explore mathematical and computational methods in plasticity; variational irreversible thermodynamics of open physical-chemical continua; macroscopic behavior of elastic material with periodically spaced rigid inclusions; and application of the Lanczos method to structural vibration. Finite deformation of elastic beams and complementary theorems of solid mechanics are also considered, along with numerical contact elastostatics; periodic solutions in plasticity and viscoplasticity; and the convergence of the mixed finite element method in linear elasticity. This monograph will appeal to practitioners of mathematicians as well as theoretical and applied mechanics.