9783031593048 - tensor calculus with object-oriented matrices for numerical methods in mechanics and engineering: fundamentals and functions for tensor/matrix algorithms of the finite element method von meissner, udo f. (2 Ergebnisse)

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Taschenbuch. Zustand: Neu. Tensor Calculus with Object-Oriented Matrices for Numerical Methods in Mechanics and Engineering | Fundamentals and Functions for Tensor/Matrix Algorithms of the Finite Element Method | Udo F. Meissner | Taschenbuch | x | Englisch | 2025 | Springer | EAN 9783031593048 | Verantwortliche Person für die E…U: Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg, juergen[dot]hartmann[at]springer[dot]com | Anbieter: preigu.

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Taschenbuch. Zustand: Neu. Druck auf Anfrage Neuware - Printed after ordering - The intension of the book is to synthesize classical matrix and tensor methods with object-oriented software techniques and efficient matrix methods for numerical algorithms. The aim is to establish a coherent methodological framework through which t…he tensor-based modeling of physical phenomena can be seamlessly applied in numerical algorithms without encountering methodological inconsistencies across different sub-areas, like indexed notation of tensors and two- dimensional matrix algebra in symbolic notation.The key to an effective solution lies in object-oriented numerical structures and software design. The author presents a coherent integration of tensor-based theory through multi-dimensional matrix calculus to object-oriented numeric classes and methods for adequate simulations.The index-based tensor and matrix notation and the object-oriented overloading of standard operators in C++ offers an innovative means to define comparable matrix operations for processing matrix objects of higher order. Typical applications demonstrate the advantages of this unique integration.