Applied Numerical Methods W/MATLAB

Applied Numerical Methods W/MATLAB

Chapra, Steven C.

McGraw-Hill Education - Europe

01/2011

672

Dura

Inglês

9780073401102

15 a 20 dias

Written for engineering and science students who want to learn and apply numerical methods in order to solve problems in engineering and science, this book introduces theory to inform key concepts which are framed in applications and demonstrated using MATLAB. It is designed for a one-semester or one-quarter course in numerical methods.
Part One: 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 Truncation Errors Part Two: Roots and Optimization Chapter 5: Roots: Bracketing Methods Chapter 6: Roots: Open Methods Chapter 7: Optimization Part Three: 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 Chapter 13: Eigenvalues Part Four: Curve Fitting Chapter 14: Linear Regression Chapter 15: General Linear Least-Squares and Nonlinear Regression Chapter 16: Fourier Analysis Chapter 17: Polynomial Interpolation Chapter 18: Splines and Piecewise Interpolation Part Five: Integration and Differentiation Chapter 19: Numerical Integration Formulas Chapter 20: Numerical Integration of Functions Chapter 21: Numerical Differentiation Part Six: Ordinary Differential Equations Chapter 22: Initial-Value Problems Chapter 23: Adaptive Methods and Stiff Systems Chapter 24: Boundary-Value Problems Appendix A: MATLAB Built-in Functions Appendix B: MATLAB M-file Functions Bibliography Index
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