| 书目名称 | Tensor Calculus with Object-Oriented Matrices for Numerical Methods in Mechanics and Engineering |
| 副标题 | Fundamentals and Fun |
| 编辑 | Udo F. Meissner |
| 视频video | |
| 概述 | Fundamentals for the integration of tensor notation, matrix calculus and object-oriented numeric .Presentation of a hierarchy of basic and derived tensor/matrix classes with specific declarations.Conv |
| 图书封面 |  |
| 描述 | .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.. |
| 出版日期 | Textbook 2025 |
| 关键词 | Fundamentals of Matrix Calculus; Object-Oriented Matrices; Fundamentals of Tensor Calculus; Three-dimen |
| 版次 | 1 |
| doi | https://doi.org/10.1007/978-3-031-59302-4 |
| isbn_softcover | 978-3-031-59304-8 |
| isbn_ebook | 978-3-031-59302-4 |
| copyright | The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerl |
发表于 2025-3-21 20:07:17
