Computational Methods in Engineering brings to light the numerous uses of numerical methods in engineering. It clearly explains the application of these methods mathematically and practically, emphasizing programming aspects when appropriate. By approaching the cross-disciplinary topic of numerical methods with a flexible approach, Computational Methods in Engineering encourages a well-rounded understanding of the subject.
This book's teaching goes beyond the text―detailed exercises (with solutions), real examples of numerical methods in real engineering practices, flowcharts, and MATLAB codes all help you learn the methods directly in the medium that suits you best.
Balanced discussion of mathematical principles and engineering applications
Detailed step-by-step exercises and practical engineering examples to help engineering students and other readers fully grasp the concepts
Concepts are explained through flowcharts and simple MATLAB codes to help you develop additional programming skills
Editorial Reviews
Review
A look beyond the numbers―an interdisciplinary introduction to numerical methods.
About the Author
Professor S. P. Venkateshan received his Ph.D. in Heat Power Engineering from the Indian Institute of Science, Bangalore in 1977. He has taught computational methods in engineering at the Indian Institute of Technology (IIT) Madras for 15 years. Recently, Professor Venkateshan worked as Head of the Department of Mechanical Engineering at IIT Madras.
Prasanna Swaminathan is a research scholar at the Heat Transfer and Thermal Power Lab at IIT Madras.
Author(s): S. P. Venkateshan (Author), Prasanna Swaminathan (Author)
Publisher: Springer
Publication Date: 2 Jun. 2023
Language: English
Print length: 846 pages
ISBN-10: 3031082273
ISBN-13: 9783031082276
Book Description
The book is designed to serve as a textbook for courses offered to graduate and upper-undergraduate students enrolled in mechanical engineering. The book attempts to make students with mathematical backgrounds comfortable with numerical methods. The book also serves as a handy reference for practicing engineers who are interested in applications. The book is written in an easy-to-understand manner, with the essence of each numerical method clearly stated. This makes it easy for professional engineers, students, and early career researchers to follow the material presented in the book. The structure of the book has been modeled accordingly. It is divided into four modules: i) solution of a system of equations and eigenvalues which includes linear equations, determining eigenvalues, and solution of nonlinear equations; ii) function approximations: interpolation, data fit, numerical differentiation, and numerical integration; iii) solution of ordinary differential equations-initial valueproblems and boundary value problems; and iv) solution of partial differential equations-parabolic, elliptic, and hyperbolic PDEs. Each section of the book includes exercises to reinforce the concepts, and problems have been added at the end of each chapter. Exercise problems may be solved by using computational tools such as scientific calculators, spreadsheet programs, and MATLAB codes. The detailed coverage and pedagogical tools make this an ideal textbook for students, early career researchers, and professionals.