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1 Wang, Jielong Multiscale Multibody Dynamics I12683 2023 eBook  
2 Fuchs, J??rgen String-Net Construction of RCFT Correlators I12264 2022 Book  
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TitleMultiscale Multibody Dynamics : Motion Formalism Implementation
Author(s)Wang, Jielong
PublicationSingapore, 1. Imprint: Springer 2. Springer Nature Singapore, 2023.
DescriptionXVI, 359 p. 80 illus., 79 illus. in color : online resource
Abstract NoteThis book presents a novel theory of multibody dynamics with distinct features, including unified continuum theory, multiscale modeling technology of multibody system, and motion formalism implementation. All these features together with the introductions of fundamental concepts of vector, dual vector, tensor, dual tensor, recursive descriptions of joints, and the higher-order implicit solvers formulate the scope of the book???s content. In this book, a multibody system is defined as a set consisted of flexible and rigid bodies which are connected by any kinds of joints or constraints to achieve the desired motion. Generally, the motion of multibody system includes the translation and rotation; it is more efficient to describe the motion by using the dual vector or dual tensor directly instead of defining two types of variables, the translation and rotation separately. Furthermore, this book addresses the detail of motion formalism and its finite element implementation of the solid, shell-like, and beam-like structures. It also introduces the fundamental concepts of mechanics, such as the definition of vector, dual vector, tensor, and dual tensor, briefly. Without following the Einstein summation convention, the first- and second-order tensor operations in this book are depicted by linear algebraic operation symbols of row array, column array, and two-dimensional matrix, making these operations easier to understand. In addition, for the integral of governing equations of motion, a set of ordinary differential equations for the finite element-based discrete system, the book discussed the implementation of implicit solvers in detail and introduced the well-developed RADAU IIA algorithms based on post-error estimation to make the contents of the book complete. The intended readers of this book are senior engineers and graduate students in related engineering fields
Keyword(s)1. EBOOK - SPRINGER 2. LIE GROUPS 3. Mechanics, Applied 4. Multibody systems 5. Multibody Systems and Mechanical Vibrations 6. Solid Mechanics 7. SOLIDS 8. TOPOLOGICAL GROUPS 9. Topological Groups and Lie Groups 10. VIBRATION
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TitleString-Net Construction of RCFT Correlators
Author(s)Fuchs, J??rgen;Schweigert, Christoph;Yang, Yang
PublicationCham, 1. Imprint: Springer 2. Springer International Publishing, 2022.
DescriptionX, 123 p. 122 illus : online resource
Abstract NoteThis book studies using string-net models to accomplish a direct, purely two-dimensional, approach to correlators of two-dimensional rational conformal field theories. The authors obtain concise geometric expressions for the objects describing bulk and boundary fields in terms of idempotents in the cylinder category of the underlying modular fusion category, comprising more general classes of fields than is standard in the literature. Combining these idempotents with Frobenius graphs on the world sheet yields string nets that form a consistent system of correlators, i.e. a system of invariants under appropriate mapping class groups that are compatible with factorization. The authors extract operator products of field objects from specific correlators; the resulting operator products are natural algebraic expressions that make sense beyond semisimplicity. They also derive an Eckmann-Hilton relation internal to a braided category, thereby demonstrating the utility of string nets for understanding algebra in braided tensor categories. Finally, they introduce the notion of a universal correlator. This systematizes the treatment of situations in which different world sheets have the same correlator and allows for the definition of a more comprehensive mapping class group
Keyword(s)1. EBOOK 2. EBOOK - SPRINGER 3. Elementary particles (Physics) 4. Elementary Particles, Quantum Field Theory 5. LIE GROUPS 6. MATHEMATICAL PHYSICS 7. QUANTUM FIELD THEORY 8. TOPOLOGICAL GROUPS 9. Topological Groups and Lie Groups
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