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

ISBN 10: 3031593049 / ISBN 13: 9783031593048

Published by Springer, 2025

About this Item

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 EU: Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg, juergen[dot]hartmann[at]springer[dot]com | Anbieter: preigu.

Seller Inventory # 135781817

Bibliographic Details

• Title: 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
• Publisher: Springer
• Publication Date: 2025
• Language: English
• ISBN 10: 3031593049
• ISBN 13: 9783031593048
• Binding: Taschenbuch
• Condition: Neu
• Dimensions: 240W x 168H x 14D millimeters 240 millimeters width by 168 millimeters height by 14 millimeters depth
• Weight: 417 grams
• Seller catalogs:
  • Bücher

About this title

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.

About the Author

Prof. Dr.-Ing. Dr.-Ing. E.h. Udo F. Meissner (em. TU Darmstadt)