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Book synopsis

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.

Book details

• Full title: Tensor Calculus with Object-Oriented Matrices for Numerical Methods in Mechanics and Engineering
• Subtitle: Fundamentals and Functions for Tensor/Matrix Algorithms of the Finite Element Method.DE
• Author: Udo F. Meißner
• Language: English
• Binding: Paperback
• Number of pages: 234
• EAN: 9783031593048
• ID: 52996626
• Publisher: Springer, Berlin
• Weight: 417 g
• Dimensions: 240 × 168 mm

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