Applied Numerical Methods W/MATLAB

Applied Numerical Methods W/MATLAB

Chapra, Steven C.

McGraw-Hill Education - Europe

05/2011

Mole

Inglês

9780071314848

15 a 20 dias

Suitable for engineering and science students who need to learn numerical problem solving, this book introduces theory to inform key concepts which are framed in applications and demonstrated using MATLAB. It features chapters on Numerical Differentiation, Optimization, and Boundary-Value Problems (ODEs).
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 Truncation 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 13: Eigenvalues 14: Part Four: Curve Fitting 15: Linear Regression 16: General Linear Least-Squares and Nonlinear Regression 17: Fourier Analysis 18: Polynomial Interpolation 19: Splines and Piecewise Interpolation Part Five: Integration and Differentiation 20: Numerical Integration Formulas : Numerical Integration of Functions 21: Numerical Differentiation Part Six: Ordinary Differential Equations Initial-Value Problems 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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