Applied Numerical Methods Using MATLAB / / R. V. Dukkipati.

• VerfasserIn: Dukkipati, R. V.,
• Place / Publishing House: Dulles, VA : : Mercury Learning and Information, , [2023]; ©2023
• Year of Publication: 2023
• Language: English
• Physical Description: 1 online resource (950 p.)

The book is designed to cover all major aspects of applied numerical methods, including numerical computations, solution of algebraic and transcendental equations, finite differences and interpolation, curve fitting, correlation and regression, numerical differentiation and integration, matrices and linear system of equations, numerical solution of ordinary differential equations, and numerical solution of partial differential equations. MATLAB is incorporated throughout the text and most of the problems are executed in MATLAB code. It uses a numerical problem-solving orientation with numerous examples, figures, and end of chapter exercises. Presentations are limited to very basic topics to serve as an introduction to more advanced topics. FEATURES:Integrates MATLAB throughout the textIncludes over 600 fully-solved problems with step-by-step solutionsLimits presentations to basic concepts of solving numerical methods

Table of Contents

Frontmatter -- Contents -- Preface -- Acknowledgments -- Chapter 1: Numerical Computations -- Chapter 2: Linear System of Equations -- Chapter 3: Solution of Algebraic and Transcendental Equations -- Chapter 4: Numerical Differentiation -- Chapter 5: Finite Differences and Interpolation -- Chapter 6: Curve Fitting, Regression, and Correlation -- Chapter 7: Numerical Integration -- Chapter 8: Numerical Solution of Ordinary Differential Equations -- Chapter 9: Direct Numerical Integration Methods -- Chapter 10: MATLAB Basics -- Chapter 11: Optimization -- Chapter 12: Partial Differential Equations -- Appendix A: Partial Fraction Expansions -- Appendix B: Basic Engineering Mathematics -- Appendix C: Cramer’s Rule. Exercises -- Appendix D: MATLAB Built-In M-File Functions -- Appendix E: MATLAB Programs -- Appendix F: Answers to Odd Numbered Exercises -- Bibliography -- Index