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Tensor Calculus with Object-oriented Matrices for Numerical Methods in Mechanics and Engineering
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.
Computational Fluid and Solid Mechanics
The MIT mission - "to bring together Industry and Academia and to nurture the next generation in computational mechanics is of great importance to reach the new level of mathematical modeling and numerical solution and to provide an exciting research environment for the next generation in computational mechanics." Mathematical modeling and numerical solution is today firmly established in science and engineering. Research conducted in almost all branches of scientific investigations and the design of systems in practically all disciplines of engineering can not be pursued effectively without, frequently, intensive analysis based on numerical computations.The world we live in has been classif...
Formal Techniques for Networked and Distributed Systems - FORTE 2006
This book constitutes the refereed proceedings of the 26th IFIP WG 6.1 International Conference on Formal Techniques for Networked and Distributed Systems, FORTE 2006, held in Paris, France, in September 2006. The 26 revised full papers and 4 short papers presented together with 3 invited lectures were carefully reviewed and selected from 177 submissions. The papers focus on the construction of middleware and services using formalised and verified approaches.
SDL 2005: Model Driven
This volume contains the papers presented at the 12th SDL Forum, Grimstad, Norway. The SDL Forum was ?rst held in 1982, and then every two years from 1985. Initially the Forum was concerned only with the Speci?cation and Description Language that was ?rst standardized in the 1976 Orange Book of the Inter- tional Telecommunication Union (ITU). Since then, many developments took place and the language has undergone several changes. However, the main underlying paradigm has survived, and it is the reason for the success of the Speci?cation and Description Language in many projects. This paradigm is based on the following important principles of distributed - plications: Communication: large sys...
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Finite Elemente in der Baustatik
Die Finite Element Methode ist heute ein Standardverfahren zur Berechnung von Stab- und Flächentragwerken im konstruktiven Ingenieurbau mit Hilfe des Computers. Ihre sachgemäße Anwendung erfordert das Verständnis der Grundlagen der Methode sowie gute Kenntnisse in der Modellierung des Tragwerks. Dieses Buch will beides vermitteln. Der didaktisch sehr gute Aufbau des Buches, unterstützt durch viele aussagefähige Beispiele, macht das Erlernen und Anwenden der Finite Element Methode einfach möglich. Die 3. Auflage wurde aktualisiert und um das Kapitel der nichtlinearen Finite-Element-Berechnungen erweitert. Neu ist auch die Behandlung der Wölbkrafttorsion. Wesentlich erweitert wurde das wichtige Kapitel zur Modellbildung von Tragwerken.
