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Numerical Methods and Modelling for Engineering

This textbook provides a step-by-step approach to numerical methods in engineering modelling. The authors provide a consistent treatment of the topic, from the ground up, to reinforce for students that numerical methods are a set of mathematical modelling tools which allow engineers to represent rea...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autores principales: Khoury, Richard (Autor), Harder, Douglas Wilhelm (Autor)
Autor Corporativo: SpringerLink (Online service)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Cham : Springer International Publishing : Imprint: Springer, 2016.
Edición:1st ed. 2016.
Temas:
Acceso en línea:Texto Completo

MARC

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245 1 0 |a Numerical Methods and Modelling for Engineering  |h [electronic resource] /  |c by Richard Khoury, Douglas Wilhelm Harder. 
250 |a 1st ed. 2016. 
264 1 |a Cham :  |b Springer International Publishing :  |b Imprint: Springer,  |c 2016. 
300 |a XVII, 332 p. 131 illus., 77 illus. in color.  |b online resource. 
336 |a text  |b txt  |2 rdacontent 
337 |a computer  |b c  |2 rdamedia 
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505 0 |a Modelling and Errors -- Numerical Representation -- Iteration -- Linear Algebra -- Taylor Series -- Interpolation, Regression, and Extrapolation -- Bracketing -- Root Finding -- Optimization -- Differentiation -- Integration -- Initial Value Problems -- Boundary Value Problems. 
520 |a This textbook provides a step-by-step approach to numerical methods in engineering modelling. The authors provide a consistent treatment of the topic, from the ground up, to reinforce for students that numerical methods are a set of mathematical modelling tools which allow engineers to represent real-world systems and compute features of these systems with a predictable error rate. Each method presented addresses a specific type of problem, namely root-finding, optimization, integral, derivative, initial value problem, or boundary value problem, and each one encompasses a set of algorithms to solve the problem given some information and to a known error bound. The authors demonstrate that after developing a proper model and understanding of the engineering situation they are working on, engineers can break down a model into a set of specific mathematical problems, and then implement the appropriate numerical methods to solve these problems. Uses a "building-block" approach, starting with simpler mathematical tools and using them to develop more and more complex models and methods; Integrates modelling, error measuring, and programming, with numerical methods, in order to give an engineering emphasis to an otherwise mathematical topic; Demonstrates not only how the math and algorithms work but also how they can be used in engineering practice. 
650 0 |a Engineering mathematics. 
650 0 |a Engineering-Data processing. 
650 0 |a Mathematics-Data processing. 
650 0 |a Computer science-Mathematics. 
650 1 4 |a Mathematical and Computational Engineering Applications. 
650 2 4 |a Computational Mathematics and Numerical Analysis. 
650 2 4 |a Mathematical Applications in Computer Science. 
700 1 |a Harder, Douglas Wilhelm.  |e author.  |4 aut  |4 http://id.loc.gov/vocabulary/relators/aut 
710 2 |a SpringerLink (Online service) 
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776 0 8 |i Printed edition:  |z 9783319211756 
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950 |a Engineering (SpringerNature-11647) 
950 |a Engineering (R0) (SpringerNature-43712)