Описание: There is a resurgence of applications for the calculus of variations, such as in solid mechanics and dynamics, numerical methods, numerical grid generation, modern physics, various optimization settings and fluid dynamics. This book reflects the connection between calculus of variations and the applications for which variational methods form the foundation.
Описание: Over the years, nonlinear analysis has been broadly and rapidly developed. Lectures presented in the International Conference on Variational Methods at the Chern Institute of Mathematics in Tianjin of May 2009 reflect this development from different angles. This volume contains articles based on these lectures.
Автор: Giuseppe Buttazzo; Aldo Frediani Название: Variational Analysis and Aerospace Engineering ISBN: 1493950800 ISBN-13(EAN): 9781493950805 Издательство: Springer Рейтинг: Цена: 32004.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Algorithm Issues and Challenges Associated with the Development of Robust CFD Codes.- Flight Path Optimization at Constant Altitude.- A survey on the Newton problem of optimal profiles.- Innovative Rotor Blade Design Code.- Fields of Extremals and Sufficient Conditions for the Simplest Problem of the Calculus of Variations in -Variables.- A Framework for Aerodynamic Shape Optimization.- Optimal Motions of Multibody Systems in Resistive Media.- Instationary Heat-Constrained Trajectory Optimization of a Hypersonic Space Vehicle by ODE#x2013;PDE-Constrained Optimal Control.- Variational Approaches to Fracture.- On the Problem of Synchronization of Identical Dynamical Systems: The Huygens#x2019;s Clocks.- Best wing system: an exact solution of the Prandtl#x2019;s problem.- Numerical simulation of the dynamics of boats by a variational inequality approach.- Concepts of Active Noise Aircraft Cockpits Reduction Employed in High Noise Level.- Lekhnitskii#x2019;s Formalism for Stress Concentrations Around Irregularities in Anisotropic Plates: Solutions for Arbitrary Boundary Conditions.- Best Initial Conditions for the Rendezvous Maneuver.- Commercial Aircraft Design for Reduced Noise and Environmental Impact.- Variational Approach to the Problem of the Minimum Induced Drag of Wings.- Plastic Hinges in a Beam.- Problems of Minimal and Maximal Aerodynamic Resistance..- Shock Optimization for Airfoil Design Problems.- Differential Games Treated by a Gradient#x2013;Restoration Approach.- Interval Methods for Optimal Control.- Application of Optimisation Algorithms to Aircraft Aerodynamics.- Different levels of Optimization in Aircraft Design.- Numerical and Analytical Methods for Global Optimization.- The Aeroservoelasticity Qualification Process in Alenia.- Further Steps towards Quantitative Conceptual Aircraft Design.- Some Plebeian Variational Problems.
This volume consists of papers presented at the Variational Analysis and Aerospace Engineering Workshop II held in Erice, Italy in September 2010 at the International School of Mathematics "Guido Stampacchia." The workshop provided a platform for aerospace engineers and mathematicians (from universities, research centers and industry) to discuss the advanced problems requiring an extensive application of mathematics. The presentations were dedicated to the most advanced subjects in engineering and, in particular to computational fluid dynamics methods, introduction of new materials, optimization in aerodynamics, structural optimization, space missions, flight mechanics, control theory and optimization, variational methods and applications, etc.
This book will capture the interest of researchers from both academia and industry.
Автор: Goeleven, Daniel (professor Of Mathematics, University Of La Reunion, France) Название: Complementarity and variational inequalities in electronics ISBN: 0128133899 ISBN-13(EAN): 9780128133897 Издательство: Elsevier Science Рейтинг: Цена: 26949.00 р. Наличие на складе: Поставка под заказ.
Описание:
Complementarity and Variational Inequalities in Electronics evaluates the main mathematical models relevant to the study of electrical network problems involving devices. The book focuses on complementarity problems, variational inequalities and non-regular dynamical systems, well-known for their applications in mechanics and economics, but which rarely target electrical applications. The book uses these tools to review the qualitative properties of devices including slicers, amplitude selectors, sampling gates, operational amplifiers, and four-diode bridge full-wave rectifiers. It demonstrates how to compute optimized output signal relevant to potentially superior applications. It also describes how to determine the stationary points of dynamical circuits and to determine the corresponding Lyapunov stability and attractivity properties, topics of major importance for further dynamical analysis and control. Hemivariational inequalities are also covered in some depth relevant to application in thyristor devices.
Reviews the main mathematical models applicable to the study of electrical networks involving diodes and transistors
Focuses on theoretical existence and uniqueness of a solution, stability of stationary solutions, and invariance properties
Provides realistic complementarity and variational problems to illustrate theoretical results
Evaluates applications of the theory across many devices, including slicers, amplitude selectors, sampling gates, operational amplifiers, and four-diode bridge full-wave rectifiers
Details both fully developed mathematical proofs and common models used in electronics
Provides a comprehensive literature review including thousands of relevant references
Описание: Further, the kind and level of sophistication of mathematics applied in various sciences has changed drastically in recent years: measure theory is used (non- trivially) in regional and theoretical economics;
Автор: Aldo Frediani; Bijan Mohammadi; Olivier Pironneau; Название: Variational Analysis and Aerospace Engineering ISBN: 3319456792 ISBN-13(EAN): 9783319456799 Издательство: Springer Рейтинг: Цена: 19564.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: 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.
A comprehensive guide to using energy principles and variational methods for solving problems in solid mechanics
This book provides a systematic, highly practical introduction to the use of energy principles, traditional variational methods, and the finite element method for the solution of engineering problems involving bars, beams, torsion, plane elasticity, trusses, and plates.
It begins with a review of the basic equations of mechanics, the concepts of work and energy, and key topics from variational calculus. It presents virtual work and energy principles, energy methods of solid and structural mechanics, Hamilton's principle for dynamical systems, and classical variational methods of approximation. And it takes a more unified approach than that found in most solid mechanics books, to introduce the finite element method.
Featuring more than 200 illustrations and tables, this Third Edition has been extensively reorganized and contains much new material, including a new chapter devoted to the latest developments in functionally graded beams and plates.
Offers clear and easy-to-follow descriptions of the concepts of work, energy, energy principles and variational methods
Covers energy principles of solid and structural mechanics, traditional variational methods, the least-squares variational method, and the finite element, along with applications for each
Provides an abundance of examples, in a problem-solving format, with descriptions of applications for equations derived in obtaining solutions to engineering structures
Features end-of-the-chapter problems for course assignments, a Companion Website with a Solutions Manual, Instructor's Manual, figures, and more
Energy Principles and Variational Methods in Applied Mechanics, Third Edition is both a superb text/reference for engineering students in aerospace, civil, mechanical, and applied mechanics, and a valuable working resource for engineers in design and analysis in the aircraft, automobile, civil engineering, and shipbuilding industries.
Автор: Vieri Benci; Donato Fortunato Название: Variational Methods in Nonlinear Field Equations ISBN: 3319069136 ISBN-13(EAN): 9783319069135 Издательство: Springer Рейтинг: Цена: 11878.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: The book analyzes the existence of solitons, namely of finite energy solutions of field equations which exhibit stability properties.
Автор: V. Benci; G. Cerami; M. Degiovanni; D. Fortunato; Название: Variational and Topological Methods in the Study of Nonlinear Phenomena ISBN: 0817642781 ISBN-13(EAN): 9780817642785 Издательство: Springer Рейтинг: Цена: 15372.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Covers the advances in the field of nonlinear functional analysis and its applications to nonlinear partial and ordinary differential equations, with particular emphasis on variational and topological methods. This work features chapters on computational aspects and applications to biology. It is suitable for researchers and graduate students.
Автор: Jean-Michel Morel; Sergio Solimini Название: Variational Methods in Image Segmentation ISBN: 1468405691 ISBN-13(EAN): 9781468405699 Издательство: Springer Рейтинг: Цена: 6986.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This book contains both a synthesis and mathematical analysis of a wide set of algorithms and theories whose aim is the automatic segmen- tation of digital images as well as the understanding of visual perception.
Описание: This book includes a self-contained theory of inequality problems and their applications to unilateral mechanics. It is the first textbook including a comprehensive and systematic study of both elliptic, parabolic and hyperbolic inequality models, dynamical unilateral systems and unilateral eigenvalues problems.
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