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Book Categories |
Ch. 1 | Mathematical modeling and engineering problem solving | 11 |
Ch. 2 | Programming and software | 25 |
Ch. 3 | Approximations and round-off errors | 50 |
Ch. 4 | Truncation errors and the Taylor series | 73 |
Ch. 5 | Bracketing methods | 112 |
Ch. 6 | Open methods | 133 |
Ch. 7 | Roots of polynomials | 160 |
Ch. 8 | Case studies : roots of equations | 187 |
Ch. 9 | Gauss elimination | 231 |
Ch. 10 | LU decomposition and matrix inversion | 264 |
Ch. 11 | Special matrices and Gauss-Seidel | 285 |
Ch. 12 | Case studies : linear algebraic equations | 305 |
Ch. 13 | One-dimensional unconstrained optimization | 341 |
Ch. 14 | Multidimensional unconstrained optimization | 355 |
Ch. 15 | Constrained optimization | 375 |
Ch. 16 | Case studies : optimization | 400 |
Ch. 17 | Least-squares regression | 440 |
Ch. 18 | Interpolation | 474 |
Ch. 19 | Fourier approximation | 507 |
Ch. 20 | Case studies : curve fitting | 544 |
Ch. 21 | Newton-Cotes integration formulas | 584 |
Ch. 22 | Integration of equations | 613 |
Ch. 23 | Numerical differentiation | 632 |
Ch. 24 | Case studies : numerical integration and differentiation | 646 |
Ch. 25 | Runge-Kutta methods | 681 |
Ch. 26 | Stiffness and multistep methods | 726 |
Ch. 27 | Boundary-value and eigenvalue problems | 752 |
Ch. 28 | Case studies : ordinary differential equations | 781 |
Ch. 29 | Finite difference : elliptic equations | 820 |
Ch. 30 | Finite difference : parabolic equations | 840 |
Ch. 31 | Finite-element method | 857 |
Ch. 32 | Case studies : partial differential equations | 884 |
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