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Numerical Methods

Numerical Methods

Numerical Methods

Theory and Engineering Applications
Author:
Amiya K. Jana, Indian Institute of Technology, Kharagpur
Published:
November 2024
Availability:
This ISBN is for an eBook version which is distributed on our behalf by a third party.
Format:
Adobe eBook Reader
ISBN:
9781009211796

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$94.99
USD
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£74.99 GBP
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    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.

    • A gradual increase in complexity helps the reader grasp the concepts better
    • A large number and variety of solved problems helps the reader visualise real-world application
    • Graphical illustrations of the algorithms offer better understanding of the concepts
    • A wide variety of scientific and engineering problems, along with review questions, further help consolidate the knowledge
    • A supplements package comprising pseudocodes for the solutions of the unsolved problems in the book

    Product details

    November 2024
    Adobe eBook Reader
    9781009211796
    0 pages
    This ISBN is for an eBook version which is distributed on our behalf by a third party.

    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.
      Author
    • Amiya K. Jana , Indian Institute of Technology, Kharagpur