PART ONE MODELING, COMPUTERS, AND ERROR ANALYSIS |
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Chapter 1 |
Mathematical Modeling, Numerical Methods and Problem Solving |
Chapter 2 |
MATLAB Fundamentals |
Chapter 3 |
Programming with MATLAB |
Chapter 4 |
Roundoff and Truncation Errors |
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PART TWO ROOTS AND OPTIMIZATION |
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Chapter 5 |
Roots: Bracketing Methods |
Chapter 6 |
Roots: Open Methods |
Chapter 7 |
Optimization |
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PART THREE LINEAR SYSTEMS |
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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 |
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PART FOUR CURVE FITTING |
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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 |
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PART FIVE INTEGRATION AND DIFFERENTIATION |
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Chapter 19 |
Numerical Integration Formulas |
Chapter 20 |
Numerical Integration of Functions |
Chapter 21 |
Numerical Differentiation |
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PART SIX ORDINARY DIFFERENTIAL EQUATIONS |
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Chapter 22 |
Initial-Value Problems |
Chapter 23 |
Adaptive Methods and Stiff Systems |
Chapter 24 |
Boundary-Value Problems |
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Appendix A |
MATLAB Built-in Functions |
Appendix B |
MATLAB M-file Functions |
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Bibliography |
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Index |