Numerical methods for engineers / Steven C. Chapra and Raymond P. Canale.
- Eight edition.
- New York, New York : Mc-Graw Hill, c2021.
- xvi, 988 pages : illustrations ; 23 cm
Includes bibliographical references and index.
Chapter 1 : Mathematical modeling and engineering problem solving Chapter 2 : Programming and software Chapter 3 : Approximations and round-off errors Chapter 4 : Truncation errors and the Taylor series Chapter 5 : Bracketing methods Chapter 6 : Open methods Chapter 7 : Roots of polynomials Chapter 8 : Case studies: roots and equations Chapter 9 : Gauss elimination Chapter 10 : LU decomposition and matrix inversion Chapter 11 : Special matrices and Gauss-Seidel Chapter 12 : Case studies : linear algebraic equations Chapter 13 : One-dimensional unconstrained optimization Chapter 14 : Multidimensional unconstrained optimization Chapter 15 : Constrained optimization Chapter 16 : Case studies : optimization Chapter 17 : Least-squares regression Chapter 18 : Interpolation Chapter 19 : Fourier approximation Chapter 20 : Case studies : Curve fitting Chapter 21 : Newton-cotes integration formulas Chapter 22 : Integration of equations Chapter 23 : Numerical differentiation Chapter 24 : Case studies : numerical integration and differentiation Chapter 25 : Runge-Kutta methods Chapter 26 : Stiffness and multistep methods Chapter 27 : Boundary-value and eigenvalue problems Chapter 28 : Case studies : ordinary differential equations Chapter 29 : Finite difference : Elliptic equations Chapter 30 : Finite difference : parabolic equations Chapter 31 : Finite-element method Chapter 32 : Case studies : partial differential equations