This volume of lecture notes briefly introduces the basic concepts needed in any computational physics course: software and hardware, programming skills, linear algebra, and differential calculus. It then presents more advanced numerical methods to tackle the quantum many-body problem: it reviews the numerical renormalization group and then focuses on tensor network methods, from basic concepts to gauge invariant ones. Finally, in the last part, the author presents some applications of tensor network methods to equilibrium and out-of-equilibrium correlated quantum matter.
The book can be used for a graduate computational physics course. After successfully completing such a course, a student should be able to write a tensor network program and can begin to explore the physics of many-body quantum systems. The book can also serve as a reference for researchers working or starting out in the field.
Описание: The book treats the theory of attractors for non-autonomous dynamical systems. The aim of the book is to give a coherent account of the current state of the theory, using the framework of processes to impose the minimum of restrictions on the nature of the non-autonomous dependence. The book is intended as an up-to-date summary of the field, but much of it will be accessible to beginning graduate students. Clear indications will be given as to which material is fundamental and which is more advanced, so that those new to the area can quickly obtain an overview, while those already involved can pursue the topics we cover more deeply.
Описание: The main aim of this treatise is to apply infinite moment theory to the problem of the controllability of one-dimensional vibrating systems, such as strings and beams, and heating processes. A minimum knowledge of functional analysis and partial differential equations is required for this text.
Автор: John Mallet-Paret; Jianhong Wu; Huaiping Zhu; Ying Название: Infinite Dimensional Dynamical Systems ISBN: 1489999930 ISBN-13(EAN): 9781489999931 Издательство: Springer Рейтинг: Цена: 18167.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: ГЇВїВЅ This collection covers a wide range of topics of infinitedimensional dynamical systems generated by parabolic partial differentialequations, hyperbolic partial differential equations, solitary equations,lattice differential equations, delay differential equations, and stochasticdifferential equations.
Описание: This volume is a collection of chapters covering recent advances in stochastic optimal control theory and algebraic systems theory. Requiring only knowledge of undergraduate-level control and systems theory, the work may be used as a supplementary textbook in a graduate course on optimal control or algebraic systems theory.
Автор: Awrejcewicz Jan Et Al Название: Deterministic Chaos In One Dimensional Continuous Systems ISBN: 9814719692 ISBN-13(EAN): 9789814719698 Издательство: World Scientific Publishing Рейтинг: Цена: 28512.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This book focuses on the computational analysis of nonlinear vibrations of structural members (beams, plates, panels, shells), where the studied dynamical problems can be reduced to the consideration of one spatial variable and time.
The book provides some recent works in the study of some infinite-dimensional dynamical systems in atmospheric and oceanic science. It devotes itself to considering some infinite-dimensional dynamical systems in atmospheric and oceanic science, especially in geophysical fluid dynamics. The subject on geophysical fluid dynamics mainly tends to focus on the dynamics of large-scale phenomena in the atmosphere and the oceans. One of the important contents in the dynamics is to study the infinite-dimensional dynamical systems of the atmospheric and oceanic dynamics. The results in the study of some partial differential equations of geophysical fluid dynamics and their corresponding infinite-dimensional dynamical systems are also given.
Автор: Birgit Jacob; Hans J. Zwart Название: Linear Port-Hamiltonian Systems on Infinite-dimensional Spaces ISBN: 3034808119 ISBN-13(EAN): 9783034808118 Издательство: Springer Рейтинг: Цена: 8384.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This book provides a self-contained introduction to the theory of infinite-dimensional systems theory and its applications to port-Hamiltonian systems.
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