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 | |
Index | |