Semi-Lagrangian Advection Methods and Their Applications in Geoscience provides a much-needed resource on semi-Lagrangian theory, methods, and applications. Covering a variety of applications, the book brings together developments of the semi-Lagrangian in one place and offers a comparison of semi-Lagrangian methods with Eulerian-based approaches. It also includes a chapter dedicated to difficulties of dealing with the adjoint of semi-Lagrangian methods and illustrates the behavior of different schemes for different applications. This allows for a better understanding of which schemes are most efficient, stable, consistent, and likely to introduce the minimum model error into a given problem.
Beneficial for students learning about numerical approximations to advection, researchers applying these techniques to geoscientific modeling, and practitioners looking for the best approach for modeling, Semi-Lagrangian Advection Methods and Their Applications in Geoscience fills a crucial gap in numerical modeling and data assimilation in geoscience.
Provides a single resource for understanding semi-Lagrangian methods and what is involved in its application
Includes exercises and codes to supplement learning and create opportunities for practice
Includes coverage of adjoints, examining the advantages and disadvantages of different approaches in multiple coordinate systems and different discretizations
Includes links to numerical datasets and animations to further enhance understanding
Автор: Gignoux Название: Solved Problems in Lagrangian and Hamiltonian Mechanics ISBN: 9048123925 ISBN-13(EAN): 9789048123926 Издательство: Springer Рейтинг: Цена: 11878.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Intends to bridge the gap between the Newtonian mechanics and the studies on chaos. This title covers such topics as: Lagrangian, Hamiltonian and Jacobi formalisms, studies of integrable and quasi-integrable systems. It is suitable for undergraduate students as well as others whose work involves mechanics, physics and engineering in general.
Автор: Lee, Taeyoung Leok, Melvin Mcclamroch, N. Harris Название: Global formulations of lagrangian and hamiltonian dynamics on manifolds ISBN: 3319569511 ISBN-13(EAN): 9783319569512 Издательство: Springer Рейтинг: Цена: 11179.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This book provides an accessible introduction to the variational formulation of Lagrangian and Hamiltonian mechanics, with a novel emphasis on global descriptions of the dynamics, which is a significant conceptual departure from more traditional approaches based on the use of local coordinates on the configuration manifold.
Автор: Brizard Alain J Название: Introduction To Lagrangian Mechanics, An (2Nd Edition) ISBN: 981462361X ISBN-13(EAN): 9789814623612 Издательство: World Scientific Publishing Рейтинг: Цена: 12830.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: An Introduction to Lagrangian Mechanics begins with a proper historical perspective on the Lagrangian method by presenting Fermat`s Principle of Least Time (as an introduction to the Calculus of Variations)
This textbook introduces readers to the detailed and methodical resolution of classical and more recent problems in analytical mechanics. This valuable learning tool includes worked examples and 40 exercises with step-by-step solutions, carefully chosen for their importance in classical, celestial and quantum mechanics.
The collection comprises six chapters, offering essential exercises on: (1) Lagrange Equations; (2) Hamilton Equations; (3) the First Integral and Variational Principle; (4) Canonical Transformations; (5) Hamilton – Jacobi Equations; and (6) Phase Integral and Angular Frequencies
Each chapter begins with a brief theoretical review before presenting the clearly solved exercises. The last two chapters are of particular interest, because of the importance and flexibility of the Hamilton-Jacobi method in solving many mechanical problems in classical mechanics, as well as quantum and celestial mechanics.
Above all, the book provides students and teachers alike with detailed, point-by-point and step-by-step solutions of exercises in Lagrangian and Hamiltonian mechanics, which are central to most problems in classical physics, astronomy, celestial mechanics and quantum physics.
Автор: Mann, Peter (st Andrews University, Uk) Название: Lagrangian and hamiltonian dynamics ISBN: 0198822383 ISBN-13(EAN): 9780198822387 Издательство: Oxford Academ Рейтинг: Цена: 6572.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: The book introduces classical mechanics. It does so in an informal style with numerous fresh, modern and inter-disciplinary applications assuming no prior knowledge of the necessary mathematics. The book provides a comprehensive and self-contained treatment of the subject matter up to the forefront of research in multiple areas.
Автор: Annalisa Griffa, A. D. Kirwan, Jr., Arthur J. Mariano, Tamay Ozgokmen, H. Thomas Rossby Название: Lagrangian Analysis and Prediction of Coastal and Ocean Dynamics ISBN: 1108460550 ISBN-13(EAN): 9781108460552 Издательство: Cambridge Academ Рейтинг: Цена: 9346.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Written by international experts in their field, this book is a review of Lagrangian observation, analysis and assimilation methods in physical and biological oceanography. It will be of great interest to researchers and graduate students looking for information on transport and dispersion in physical systems, biological modeling, and data assimilation.
Автор: Sergey V. Prants; Michael Yu. Uleysky; Maxim V. Bu Название: Lagrangian Oceanography ISBN: 3319530216 ISBN-13(EAN): 9783319530215 Издательство: Springer Рейтинг: Цена: 15372.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This book uses the Lagrangian approach, especially useful and convenient for studying large-scale transport and mixing in the ocean, to present a detailed view of ocean circulation.
Автор: Alexander Mielke Название: Hamiltonian and Lagrangian Flows on Center Manifolds ISBN: 354054710X ISBN-13(EAN): 9783540547105 Издательство: Springer Рейтинг: Цена: 3492.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: The theory of center manifold reduction is studied in this monograph in the context of infinite-dimensional Hamiltonian and Lagrangian systems. The theory is also applied to elliptic variational problems on cylindrical domains.
Автор: D.G. Edelen Название: Lagrangian Mechanics of Nonconservative Nonholonomic Systems ISBN: 9048184649 ISBN-13(EAN): 9789048184644 Издательство: Springer Рейтинг: Цена: 18284.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Автор: V. Lakshminarayanan; Ajoy Ghatak; K. Thyagarajan Название: Lagrangian Optics ISBN: 1461356903 ISBN-13(EAN): 9781461356905 Издательство: Springer Рейтинг: Цена: 16769.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Ingeometrical optics, light propagation is analyzed in terms of light rays which define the path of propagation of light energy in the limitofthe optical wavelength tending to zero. Given the current interest and activity in optical fibers and optical communication, analysis of light propagation in inhomogeneous media is dealt with in great detail.
Автор: Aron Wolf Pila Название: Introduction To Lagrangian Dynamics ISBN: 3030223779 ISBN-13(EAN): 9783030223779 Издательство: Springer Рейтинг: Цена: 8384.00 р. Наличие на складе: Поставка под заказ.
Описание: This volume provides a short summary of the essentials of Lagrangian dynamics for practicing engineers and students of physics and engineering. It examines a range of phenomena and techniques in a style that is compact and succinct, while remaining comprehensive. The book provides a review of classical mechanics and coverage of critical topics including holonomic and non-holonomic systems, virtual work, the principle of d’Alembert for dynamical systems, the mathematics of conservative forces, the extended Hamilton’s principle, Lagrange’s equations and Lagrangian dynamics, a systematic procedure for generalized forces, quasi-coordinates, and quasi-velocities, Lagrangian dynamics with quasi-coordinates, Professor Ranjan Vepa’s approach and the Hamiltonian formulation. Adopting a step-by-step approach with examples throughout the book, this ready reference completely develops all of the relevant equations and is ideal for practicing mechanical, aeronautical, and civil engineers, physicists, and graduate/upper-level undergraduate students.Explains in detail the development of the theory behind Lagrangian dynamics in a practical fashion;Discusses virtual work, generalized forces, conservative forces, constraints, Extended Hamilton’s Principle and the Hamiltonian formulation;Presents two different approaches to the quasi-velocity method for non-holonomic constraints;Reinforces concepts presented with illustrative examples;Includes comprehensive coverage of the important topics of classical mechanics.
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