Choose an application

• Reference Manager
• EndNote
• RefWorks (Direct export to RefWorks)

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.

Mathematics --- Applied physical engineering --- Engineering sciences. Technology --- Computer. Automation --- analyse (wiskunde) --- toegepaste wiskunde --- computers --- economie --- informatica --- externe fixatie (geneeskunde --- wiskunde --- ingenieurswetenschappen --- Applied mathematics. --- Engineering mathematics. --- Computer mathematics. --- Computer science—Mathematics. --- Mathematical and Computational Engineering. --- Computational Mathematics and Numerical Analysis. --- Math Applications in Computer Science. --- Computer science --- Mathematics.