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Numerical Methods and Modelling for Engineering [electronic resource] / by Richard Khoury, Douglas Wilhelm Harder.

By: Khoury, Richard [author.].
Contributor(s): Harder, Douglas Wilhelm [author.] | SpringerLink (Online service).
Material type: materialTypeLabelBookPublisher: Cham : Springer International Publishing : Imprint: Springer, 2016Description: XVII, 332 p. 131 illus., 77 illus. in color. online resource.Content type: text Media type: computer Carrier type: online resourceISBN: 9783319211763.Subject(s): Engineering | Computer science -- Mathematics | Computer mathematics | Applied mathematics | Engineering mathematics | Engineering | Appl.Mathematics/Computational Methods of Engineering | Computational Mathematics and Numerical Analysis | Math Applications in Computer ScienceAdditional physical formats: Printed edition:: No titleDDC classification: 519 Online resources: Click here to access online
Contents:
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.
In: Springer eBooksSummary: 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.
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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.

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.

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