Variational Methods With Applications In Science And Engineering

Author : Kevin W. Cassel
Publisher : Unknown
Page : 432 pages
File Size : 47,7 Mb
Release : 2013
Category : Engineering
ISBN : 1316090671

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Variational Methods with Applications in Science and Engineering by Kevin W. Cassel Pdf

There is a resurgence of applications in which the calculus of variations has direct relevance. In addition to application to solid mechanics and dynamics, it is now being applied in a variety of numerical methods, numerical grid generation, modern physics, various optimization settings and fluid dynamics. Many applications, such as nonlinear optimal control theory applied to continuous systems, have only recently become tractable computationally, with the advent of advanced algorithms and large computer systems. This book reflects the strong connection between calculus of variations and the applications for which variational methods form the fundamental foundation. The mathematical fundamentals of calculus of variations (at least those necessary to pursue applications) is rather compact and is contained in a single chapter of the book. The majority of the text consists of applications of variational calculus for a variety of fields.

Author : Kevin W. Cassel
Publisher : Unknown
Page : 434 pages
File Size : 49,5 Mb
Release : 2013
Category : Electronic books
ISBN : 1107059046

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Variational Methods with Applications to Science and Engineering by Kevin W. Cassel Pdf

Author : Kevin W. Cassel
Publisher : Cambridge University Press
Page : 433 pages
File Size : 52,5 Mb
Release : 2013-07-22
Category : Mathematics
ISBN : 9781107022584

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Variational Methods with Applications in Science and Engineering by Kevin W. Cassel Pdf

This book reflects the strong connection between calculus of variations and the applications for which variational methods form the foundation.

Author : Karel Rektorys
Publisher : Springer Science & Business Media
Page : 566 pages
File Size : 44,7 Mb
Release : 2012-12-06
Category : Science
ISBN : 9789401164504

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Variational Methods in Mathematics, Science and Engineering by Karel Rektorys Pdf

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.

Author : Kevin W. Cassel
Publisher : Cambridge University Press
Page : 128 pages
File Size : 50,8 Mb
Release : 2013-07-22
Category : Technology & Engineering
ISBN : 9781107067370

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Variational Methods with Applications in Science and Engineering by Kevin W. Cassel Pdf

There is a resurgence of applications in which the calculus of variations has direct relevance. In addition to application to solid mechanics and dynamics, it is now being applied in a variety of numerical methods, numerical grid generation, modern physics, various optimization settings and fluid dynamics. Many applications, such as nonlinear optimal control theory applied to continuous systems, have only recently become tractable computationally, with the advent of advanced algorithms and large computer systems. This book reflects the strong connection between calculus of variations and the applications for which variational methods form the fundamental foundation. The mathematical fundamentals of calculus of variations (at least those necessary to pursue applications) is rather compact and is contained in a single chapter of the book. The majority of the text consists of applications of variational calculus for a variety of fields.

Author : Karel Rektorys
Publisher : Unknown
Page : 287 pages
File Size : 43,9 Mb
Release : 1980
Category : Electronic
ISBN : OCLC:834118163

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Variational Methods in Mathematics, Science and Engineering by Karel Rektorys Pdf

Author : Constantin Udriste,Ionel Tevy
Publisher : John Wiley & Sons
Page : 228 pages
File Size : 47,5 Mb
Release : 2023-02-13
Category : Mathematics
ISBN : 9781119944362

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Variational Calculus with Engineering Applications by Constantin Udriste,Ionel Tevy Pdf

A comprehensive overview of foundational variational methods for problems in engineering Variational calculus is a field in which small alterations in functions and functionals are used to find their relevant maxima and minima. It is a potent tool for addressing a range of dynamic problems with otherwise counter-intuitive solutions, particularly ones incorporating multiple confounding variables. Its value in engineering fields, where materials and geometric configurations can produce highly specific problems with unconventional or unintuitive solutions, is considerable. Variational Calculus with Engineering Applications provides a comprehensive survey of this toolkit and its engineering applications. Balancing theory and practice, it offers a thorough and accessible introduction to the field pioneered by Euler, Lagrange and Hamilton, offering tools that can be every bit as powerful as the better-known Newtonian mechanics. It is an indispensable resource for those looking for engineering-oriented overview of a subject whose capacity to provide engineering solutions is only increasing. Variational Calculus with Engineering Applications readers will also find: Discussion of subjects including variational principles, levitation, geometric dynamics, and more Examples and instructional problems in every Chapter, along with MAPLE codes for performing the simulations described in each Engineering applications based on simple, curvilinear, and multiple integral functionals Variational Calculus with Engineering Applications is ideal for advanced students, researchers, and instructors in engineering and materials science.

Author : K. B. M. Nambudiripad
Publisher : Unknown
Page : 0 pages
File Size : 43,8 Mb
Release : 2016-01-30
Category : Calculus of variations
ISBN : 8184875142

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Variational Methods in Engineering by K. B. M. Nambudiripad Pdf

As variational methods are of great importance to aerospace, civil and mechanical engineers, the emphasis in this book is on applications to engineering, but the mathematics that serves as the foundation is also given its due importance. Copious footnotes and a large number of illustrative examples are a feature of the book.

Author : Eduardo Souza de Cursi
Publisher : John Wiley & Sons
Page : 430 pages
File Size : 52,9 Mb
Release : 2015-10-19
Category : Mathematics
ISBN : 9781848219144

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Variational Methods for Engineers with Matlab by Eduardo Souza de Cursi Pdf

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.

Author : Luminita A. Vese,Carole Le Guyader
Publisher : CRC Press
Page : 416 pages
File Size : 42,8 Mb
Release : 2015-11-18
Category : Computers
ISBN : 9781439849743

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Variational Methods in Image Processing by Luminita A. Vese,Carole Le Guyader Pdf

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 t

Author : Kevin W. Cassel
Publisher : Cambridge University Press
Page : 727 pages
File Size : 45,9 Mb
Release : 2021-03-04
Category : Mathematics
ISBN : 9781108479097

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Matrix, Numerical, and Optimization Methods in Science and Engineering by Kevin W. Cassel Pdf

Vector and matrix algebra -- Algebraic eigenproblems and their applications -- Differential eigenproblems and their applications -- Vector and matrix calculus -- Analysis of discrete dynamical systems -- Computational linear algebra -- Numerical methods for differential equations -- Finite-difference methods for boundary-value problems -- Finite-difference methods for initial-value problems -- Least-squares methods -- Data analysis : curve fitting and interpolation -- Optimization and root finding of algebraic systems -- Data-driven methods and reduced-order modeling.

Author : Weston M. Stacey
Publisher : John Wiley & Sons
Page : 766 pages
File Size : 47,8 Mb
Release : 2018-02-07
Category : Science
ISBN : 9783527812301

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Nuclear Reactor Physics by Weston M. Stacey Pdf

The third, revised edition of this popular textbook and reference, which has been translated into Russian and Chinese, expands the comprehensive and balanced coverage of nuclear reactor physics to include recent advances in understanding of this topic. The first part of the book covers basic reactor physics, including, but not limited to nuclear reaction data, neutron diffusion theory, reactor criticality and dynamics, neutron energy distribution, fuel burnup, reactor types and reactor safety. The second part then deals with such physically and mathematically more advanced topics as neutron transport theory, neutron slowing down, resonance absorption, neutron thermalization, perturbation and variational methods, homogenization, nodal and synthesis methods, and space-time neutron dynamics. For ease of reference, the detailed appendices contain nuclear data, useful mathematical formulas, an overview of special functions as well as introductions to matrix algebra and Laplace transforms. With its focus on conveying the in-depth knowledge needed by advanced student and professional nuclear engineers, this text is ideal for use in numerous courses and for self-study by professionals in basic nuclear reactor physics, advanced nuclear reactor physics, neutron transport theory, nuclear reactor dynamics and stability, nuclear reactor fuel cycle physics and other important topics in the field of nuclear reactor physics.

Author : Hans Petter Langtangen,Kent-Andre Mardal
Publisher : Springer Nature
Page : 395 pages
File Size : 43,5 Mb
Release : 2019-09-26
Category : Mathematics
ISBN : 9783030237882

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Introduction to Numerical Methods for Variational Problems by Hans Petter Langtangen,Kent-Andre Mardal Pdf

This textbook teaches finite element methods from a computational point of view. It focuses on how to develop flexible computer programs with Python, a programming language in which a combination of symbolic and numerical tools is used to achieve an explicit and practical derivation of finite element algorithms. The finite element library FEniCS is used throughout the book, but the content is provided in sufficient detail to ensure that students with less mathematical background or mixed programming-language experience will equally benefit. All program examples are available on the Internet.

Author : J. N. Reddy
Publisher : John Wiley & Sons
Page : 618 pages
File Size : 50,6 Mb
Release : 2002-08-09
Category : Mathematics
ISBN : 047117985X

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Energy Principles and Variational Methods in Applied Mechanics by J. N. Reddy Pdf

A systematic presentation of energy principles and variationalmethods The increasing use of numerical and computational methods inengineering and applied sciences has shed new light on theimportance of energy principles and variational methods. EnergyPrinciples and Variational Methods in Applied Mechanicsprovides a systematic and practical introduction to the use ofenergy principles, traditional variational methods, and the finiteelement method to the solution of engineering problems involvingbars, beams, torsion, plane elasticity, and plates. Beginning with a review of the basic equations of mechanics andthe concepts of work, energy, and topics from variational calculus,this book presents the virtual work and energy principles, energymethods of solid and structural mechanics, Hamilton'sprinciple for dynamical systems, and classical variational methodsof approximation. A unified approach, more general than that foundin most solid mechanics books, is used to introduce the finiteelement method. Also discussed are applications to beams andplates. Complete with more than 200 illustrations and tables, EnergyPrinciples and Variational Methods in Applied Mechanics, SecondEdition is a valuable book for students of aerospace, civil,mechanical, and applied mechanics; and engineers in design andanalysis groups in the aircraft, automobile, and civil engineeringstructures, as well as shipbuilding industries.

Author : A. R. M. Noton
Publisher : Elsevier
Page : 132 pages
File Size : 52,7 Mb
Release : 2013-09-24
Category : Mathematics
ISBN : 9781483139098

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Introduction to Variational Methods in Control Engineering by A. R. M. Noton Pdf

Introduction to Variational Methods in Control Engineering focuses on the design of automatic controls. The monograph first discusses the application of classical calculus of variations, including a generalization of the Euler-Lagrange equations, limitation of classical variational calculus, and solution of the control problem. The book also describes dynamic programming. Topics include the limitations of dynamic programming; general formulation of dynamic programming; and application to linear multivariable digital control systems. The text also underscores the continuous form of dynamic programming; Pontryagin's principle; and the two-point boundary problem. The book also touches on inaccessible state variables. Topics include the optimum realizable control law; observed data and vector spaces; design of the optimum estimator; and extension to the continuous systems. The book also presents a summary of potential applications, including complex control systems and on-line computer control. The text is recommended to readers and students wanting to explore the design of automatic controls.