Numerical Analysis with Algorithms and Programming
eBook - ePub

Numerical Analysis with Algorithms and Programming

  1. 708 pages
  2. English
  3. ePUB (mobile friendly)
  4. Available on iOS & Android
eBook - ePub

Numerical Analysis with Algorithms and Programming

Book details
Table of contents
Citations

About This Book

Numerical Analysis with Algorithms and Programming is the first comprehensive textbook to provide detailed coverage of numerical methods, their algorithms, and corresponding computer programs. It presents many techniques for the efficient numerical solution of problems in science and engineering.

Along with numerous worked-out examples, end-of-chapter exercises, and Mathematica ÂŽ programs, the book includes the standard algorithms for numerical computation:



  • Root finding for nonlinear equations
  • Interpolation and approximation of functions by simpler computational building blocks, such as polynomials and splines
  • The solution of systems of linear equations and triangularization
  • Approximation of functions and least square approximation
  • Numerical differentiation and divided differences
  • Numerical quadrature and integration
  • Numerical solutions of ordinary differential equations (ODEs) and boundary value problems
  • Numerical solution of partial differential equations (PDEs)

The text develops students' understanding of the construction of numerical algorithms and the applicability of the methods. By thoroughly studying the algorithms, students will discover how various methods provide accuracy, efficiency, scalability, and stability for large-scale systems.

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Yes, you can access Numerical Analysis with Algorithms and Programming by Santanu Saha Ray in PDF and/or ePUB format, as well as other popular books in Mathematics & Mathematics General. We have over one million books available in our catalogue for you to explore.

Information

Year
2018
ISBN
9781498741835
Edition
1

Table of contents

  1. Cover
  2. Half Title
  3. Title Page
  4. Copyright Page
  5. Dedication
  6. Table of Contents
  7. Preface
  8. Acknowledgments
  9. Author
  10. Chapter 1 Errors in Numerical Computations
  11. Chapter 2 Numerical Solutions of Algebraic and Transcendental Equations
  12. Chapter 3 Interpolation
  13. Chapter 4 Numerical Differentiation
  14. Chapter 5 Numerical Integration
  15. Chapter 6 Numerical Solution of System of Linear Algebraic Equations
  16. Chapter 7 Numerical Solutions of Ordinary Differential Equations
  17. Chapter 8 Matrix Eigenvalue Problem
  18. Chapter 9 Approximation of Functions
  19. Chapter 10 Numerical Solutions of Partial Differential Equations
  20. Chapter 11 An Introduction to the Finite Element Method
  21. Answers
  22. Bibliography
  23. Index