Numerical Methods and Modelling for Engineering

Softcover Nachdruck of the original 1. Auflage 2016
ISBN: 978-3-319-79331-3
Verlag: Springer International Publishing

Buch, Englisch, 332 Seiten, Previously published in hardcover, Format (B × H): 155 mm x 235 mm, Gewicht: 5329 g

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. 

Zielgruppe

Upper undergraduate

Autoren/Hrsg.

Harder, Douglas Wilhelm

Khoury, Richard

Fachgebiete

• Technische Wissenschaften Technik Allgemein Mathematik für Ingenieure
• Mathematik | Informatik Mathematik Numerik und Wissenschaftliches Rechnen Numerische Mathematik
• Technische Wissenschaften Technik Allgemein Modellierung & Simulation

Inhaltsverzeichnis

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.

Über Autor(innen)

Richard Khoury received his Bachelor’s Degree and his Master’s Degree in Electrical and Computer Engineering from Laval University (Québec City, QC) in 2002 and 2004 respectively, and his Doctorate in Electrical and Computer Engineering from the University of Waterloo (Waterloo, ON) in 2007. Since August 2008, he is a faculty member in the Department of Software Engineering at Lakehead University. Dr. Khoury’s primary area of research is natural language processing, but his research interests also include data mining, knowledge management, machine learning, and artificial intelligence.