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商品詳細
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. 2024 ed.
・ISBN 978-3-031-59301-7 hard EUR 84.99
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| 著者・編者 | Meissner, Udo F., |
|---|---|
| 出版社 | (Springer International Publishing AG, SZ) |
| 出版年月 | 2024 |
| ページ数 | 234 pp. |
| 言語 | ENG |
| ニュース番号 | ＜A02-87862＞ |
解説
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.