Numerical Methods and Modelling for Engineering
tarafından
Khoury, Richard. author.
Başlık
:
Numerical Methods and Modelling for Engineering
Yazar
:
Khoury, Richard. author.
ISBN
:
9783319211763
Yazar
:
Khoury, Richard. author.
Fiziksel Niteleme
:
XVII, 332 p. 131 illus., 77 illus. in color. online resource.
İçindekiler
:
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 -- .
Özet
:
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.
Konu Başlığı
:
Engineering.
Computer science -- Mathematics.
Computer mathematics.
Applied mathematics.
Engineering mathematics.
Appl.Mathematics/Computational Methods of Engineering.
Computational Mathematics and Numerical Analysis.
Math Applications in Computer Science.
Yazar Ek Girişi
:
Harder, Douglas Wilhelm.
Ek Kurum Yazar
:
SpringerLink (Online service)
Elektronik Erişim
:
Materyal Türü | Barkod | Yer Numarası | Durumu/İade Tarihi |
---|
Electronic Book | 16688-1001 | TA329 -348 | Springer E-Book Collection |