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Applied Numerical Methods with MATLAB Fo

(Paperback)

Steven C Chapra,

Ingram (Publisher)

Published
2008
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Key Features
  • Straight forward and practically oriented explanations.
  • Extensive use of engineering examples, and applications are given throughout the book.
  • Use of MATLAB as the primary computing environment MATLAB functions have been introduced in every chapter.
  • Case studies: these consist of engineering and science applications that are more complex and richer than the standard examples given in the chapters.
  • Solved Examples
  • Practice Problems

Table Of Contents
PART I: MODELING, COMPUTERS, AND ERROR ANALYSIS
    • Chapter 1. Mathematical Modeling Numerical Methods and Problem Solving
    • Chapter 2. MATLAB Fundamentals
    • Chapter 3. Programming with MATLAB
    • Chapter 4. Roundoff and Trunication Errors
PART II: ROOTS AND OPTIMIZATION
    • Chapter 5. Roots: Bracketing Methods
    • Chapter 6. Roots: Open Methods
    • Chapter 7. Optimization
PART III: LINEAR SYSTEMS
    • Chapter 8. Linear Algebraic Equations and Matrices
    • Chapter 9. Gauss Elimination
    • Chapter 10. LU Factorization
    • Chapter 11. Matrix Inverse and Condition
    • Chapter 12. Iterative Methods
PART IV: CURVE FITTING
    • Chapter 13. Linear Regression
    • Chapter 14. General Linear Least-Squares and Non-Linear Regression
    • Chapter 15. Polynomial Interpolation
    • 16. Splines and Piecewise Interpolation
PART V: INTEGRATION AND DIFFERENTIATION
    • Chapter 17. Numerical Integration Formulas
    • Chapter 18. Numerical Integration of Functions
    • Chapter 19. Numerical Differentiation
PART VI: ORDINARY DIFFERENTIAL EQUATIONS
    • Chapter 20. Initial-Value Problems
    • Chapter 21. Adaptive Methods and Stiff Systems
    • Chapter 22. Boundary-Value Problems
    • Appendix A: Eigenvalues
    • Appendix B: MATLAB Built-in Functions
    • Appendix C: MATLAB M-File Functions
    • Bibliography
    • Index

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