TY - BOOK AU - Khoury,Richard AU - Harder,Douglas Wilhelm ED - SpringerLink (Online service) TI - Numerical Methods and Modelling for Engineering SN - 9783319211763 AV - TA329-348 U1 - 519 23 PY - 2016/// CY - Cham PB - Springer International Publishing, Imprint: Springer KW - Engineering KW - Computer science KW - Mathematics KW - Computer mathematics KW - Applied mathematics KW - Engineering mathematics KW - Appl.Mathematics/Computational Methods of Engineering KW - Computational Mathematics and Numerical Analysis KW - Math Applications in Computer Science N1 - 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 N2 - 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 UR - http://148.231.10.114:2048/login?url=http://dx.doi.org/10.1007/978-3-319-21176-3 ER -