Numerical Methods in Engineering
Theory and Process Applications
Publisher: Cambridge University Press
Date of Publication: 31 July 2024
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Product details:
ISBN13: | 9781009211802 |
ISBN10: | 1009211803 |
Binding: | Paperback |
No. of pages: | 600 pages |
Language: | English |
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Short description:
This textbook strikes a balance between theory and practice to introduce engineering students to numerical methods and their process applications.
Long description:
Numerical methods are a cornerstone of modern engineering. This lucid textbook strikes a balance between theory and analysis of numerical methods and their practical applications in engineering. Each chapter starts with the formulation and graphical representation of the numerical method. This is followed by the algorithms required to create computer assisted solutions and simulations, which are then applied on real-world examples and case studies to show how exactly they are used. Finally, the strengths and weaknesses of the numerical method under discussion is explained, thus helping the reader choose the best method for a specific problem at hand. Using extensive mathematical problems, illustrative examples and industrially relevant case studies, the book gives the readers physical insights into the ground realities of engineering applications, particularly in areas like heat transfer, fluid mechanics, mass transfer, transport phenomena, and thermodynamics.
Table of Contents:
Preface; Acknowledgements; Part I. Introduction to Numerical Simulation: Chapter 1. Introduction to Numerical Method and Process Simulation 3; Part II. Systems of Algebraic Equations; Chapter 2. Linear Algebraic Equation 27; Chapter 3. Non-linear Algebraic Equation; Part III. Systems of Differential Equations: Chapter 4. Ordinary Differential Equation: Initial Value Problem (ODE-IVP); Chapter 5. Ordinary Differential Equation: Boundary Value Problem (ODE-BVP); Chapter 6. Partial Differential Equation; Part IV. Function Approximations: Chapter 7. Method of Least-Squares; Chapter 8. Polynomial Interpolation; Chapter 9. Numerical Integration.