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Více informací o knize Tensor Calculus with Object-Oriented Matrices for Numerical Methods in Mechanics and Engineering

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Anotace knihy

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 the 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.

Parametry knihy

Zařazení knihy Knihy v angličtině Technology, engineering, agriculture Civil engineering, surveying & building Building construction & materials

• Plný název: Tensor Calculus with Object-Oriented Matrices for Numerical Methods in Mechanics and Engineering
• Podnázev: Fundamentals and Functions for Tensor/Matrix Algorithms of the Finite Element Method
• Autor: Udo F. Meißner
• Jazyk: Angličtina
• Vazba: Pevná
• Počet stran: 250
• EAN: 9783031593017
• ID: 45533672
• Nakladatelství: Springer, Berlin
• Hmotnost: 529 g
• Rozměry: 240 × 168 mm
• Datum vydání: 02. September 2024

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