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Numerical Methods and Modelling for Engineering

Richard Khoury, Douglas Wilhelm Harder (Autoren)

Buch | Hardcover

XVII, 332 Seiten

2016 | 1st ed. 2016
Springer International Publishing (Verlag)
978-3-319-21175-6 (ISBN)

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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.

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.

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 book is intended as a textbook for students, with exercises and questions at the end of each chapter, it is equally suitable for practicing engineers or computer scientists who find themselves using computers to solve numerical problems. ... Overall, I found this book very easy to read and follow, with chapters flowing naturally on from each other. ... this introductory text on numeric methods does provide just the right level of coverage required of a generalist." (Bernard Kuc, Computing Reviews, February, 2017)

"The work is written clearly ... and generously illustrated with frequent figures and examples. The provided 'engineering examples' mostly involve application of numerical techniques to simple physical situations. Each chapter includes a summary and multiple exercises for students; answers are presented inthe appendix. In short, this is an excellent text for a first course in numerical analysis. Summing Up: Recommended. Lower- and upper-division undergraduates." (R. Darby, Choice, Vol. 54 (4), December, 2016)

Erscheint lt. Verlag	23.5.2016
Zusatzinfo	XVII, 332 p. 131 illus., 77 illus. in color.
Verlagsort	Cham
Sprache	englisch
Maße	155 x 235 mm
Themenwelt	Mathematik / Informatik ► Informatik ► Theorie / Studium
	Mathematik / Informatik ► Mathematik ► Analysis
	Mathematik / Informatik ► Mathematik ► Angewandte Mathematik
	Technik
Schlagworte	boundary value problems • Engineering Modelling Techniques • initial value problems • Interpolation, Regression, and Extrapolation • Modelling Errors • numerical approximation • Numerical Methods • Numerical Methods for Engineers • Numerical Methods for Scientists and Engineers • Numerical Methods Textbook
ISBN-10	3-319-21175-7 / 3319211757
ISBN-13	978-3-319-21175-6 / 9783319211756
Zustand	Neuware