## Table of contents for Applied numerical methods with MATLAB, for engineers and scientists / Steven C. Chapra.

Bibliographic record and links to related information available from the Library of Congress catalog

Information from electronic data provided by the publisher. May be incomplete or contain other coding.

Part One Modeling, Computers, and Error Analysis
1. Mathematical Modeling Numerical Methods and Problem Solving
2. MATLAB Fundamentals
3. Programming with MATLAB
4. Roundoff and Trunication Errors
Part Two Roots and Optimization
5. Roots: Bracketing Methods
6. Roots: Open Methods
7. Optimization
Part Three Linear Systems
8. Linear Algebraic Equations and Matrices
9. Gauss Elimination
10. LU Factorization
11. Matrix Inverse and Condition
12. Iterative Methods
Part Four Curve Fitting
13. Linear Regression
14. General Linear Least-Squares and Non-Linear Regression
15. Polynomial Interpolation
16. Splines and Piecewise Interpolation
Part Five Integration and Differentiation
17. Numerical Integration Formulas
18. Numerical Integration of Functions
19. Numerical Differentiation
Part Six Ordinary Differential Equations
20. Initial-Value Problems
21. Adaptive Methods and Stiff Systems
22. Boundary-Value Problems
Appendix A: Eigenvalues
Appendix B: MATLAB Built-in Functions
Appendix C: MATLAB M-File Functions
Bibliography
Index

Library of Congress subject headings for this publication:

Numerical analysis -- Data processing -- Textbooks.

MATLAB -- Textbooks.