Elementary numerical analysis / Kendall Atkinson.
Editor: New York : Wiley, c1993Edición: 2nd edDescripción: xiii, 425 p. : il. ; 25 cmISBN: 047150999XTema(s): Numerical analysisOtra clasificación: 65-01 Recursos en línea: Publisher descriptionChapter 1 TAYLOR POLYNOMIALS [1] 1.1 The Taylor polynomial [2] 1.2 The error in Taylor's polynomial [7] 1.3 Polynomial evaluation [13] Chapter 2 COMPUTER REPRESENTATION OF NUMBERS [19] 2.1 The binary number system [20] 2.2 Floating-point numbers [25] Chapter 3 ERROR [35] 3.1 Errors: definitions, sources, and examples [36] 3.2 Propagation of error [48] 3.3 Summation [53] Chapter 4 ROOTFINDING [61] 4.1 The bisection method [62] 4.2 Newton's method [68] 4.3 Secant method [78] 4.4 Fixed point iteration [83] 4.5 Ill-behaved rootfinding problems [94] Chapter 5 INTERPOLATION [101] 5.1 Polynomial interpolation [102] 5.2 Divided differences [111] 5.3 Error in polynomial interpolation [121] 5.4 Interpolation using spline functions [129] Chapter 6 APPROXIMATION OF FUNCTIONS [141] 6.1 The best approximation problem [142] 6.2 Chebyshev polynomials [147] 6.3 A near-minimax approximation method [153] Chapter 7 NUMERICAL INTEGRATION AND Differentiation [161] 7.1 The trapezoidal and Simpson rules [162] 7.2 Error formulas [172] 7.3 Gaussian numerical integration [187] 7.4 Numerical differentiation [195] Chapter 8 SOLUTION OF SYSTEMS OF LINEAR EQUATIONS [205] 8.1 Systems of linear equations [206] 8.2 Gaussian elimination [210] 8.3 Matrix arithmetic [225] 8.4 The LU factorization [238] 8.5 Error in solving linear systems [248] 8.6 Least squares data fitting [256] 8.7 The eigenvalue problem [268] 8.8 Iteration methods [282] 8.9 Nonlinear systems [291] Chapter 9 THE NUMERICAL SOLUTION OF DIFFERENTIAL EQUATIONS [303] 9.1 Theory of differential equations: An introduction [304] 9.2 Euler's method [311] 9.3 Convergence analysis of Euler's method [319] 9.4 Taylor and Runge-Kutta methods [326] 9.5 Multistep methods [339]
| Item type | Home library | Shelving location | Call number | Materials specified | Status | Date due | Barcode | Course reserves |
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Libros
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Instituto de Matemática, CONICET-UNS | Libros ordenados por tema | 65 At875e-2 (Browse shelf) | Available | A-7067 |
Incluye programas en lenguaje Fortran 77.
Incluye referencias bibliográficas (p. 417-419) e índice.
Chapter 1 TAYLOR POLYNOMIALS [1] --
1.1 The Taylor polynomial [2] --
1.2 The error in Taylor's polynomial [7] --
1.3 Polynomial evaluation [13] --
Chapter 2 COMPUTER REPRESENTATION OF NUMBERS [19] --
2.1 The binary number system [20] --
2.2 Floating-point numbers [25] --
Chapter 3 ERROR [35] --
3.1 Errors: definitions, sources, and examples [36] --
3.2 Propagation of error [48] --
3.3 Summation [53] --
Chapter 4 ROOTFINDING [61] --
4.1 The bisection method [62] --
4.2 Newton's method [68] --
4.3 Secant method [78] --
4.4 Fixed point iteration [83] --
4.5 Ill-behaved rootfinding problems [94] --
Chapter 5 INTERPOLATION [101] --
5.1 Polynomial interpolation [102] --
5.2 Divided differences [111] --
5.3 Error in polynomial interpolation [121] --
5.4 Interpolation using spline functions [129] --
Chapter 6 APPROXIMATION OF FUNCTIONS [141] --
6.1 The best approximation problem [142] --
6.2 Chebyshev polynomials [147] --
6.3 A near-minimax approximation method [153] --
Chapter 7 NUMERICAL INTEGRATION AND Differentiation [161] --
7.1 The trapezoidal and Simpson rules [162] --
7.2 Error formulas [172] --
7.3 Gaussian numerical integration [187] --
7.4 Numerical differentiation [195] --
Chapter 8 SOLUTION OF SYSTEMS OF LINEAR EQUATIONS [205] --
8.1 Systems of linear equations [206] --
8.2 Gaussian elimination [210] --
8.3 Matrix arithmetic [225] --
8.4 The LU factorization [238] --
8.5 Error in solving linear systems [248] --
8.6 Least squares data fitting [256] --
8.7 The eigenvalue problem [268] --
8.8 Iteration methods [282] --
8.9 Nonlinear systems [291] --
Chapter 9 THE NUMERICAL SOLUTION OF DIFFERENTIAL EQUATIONS [303] --
9.1 Theory of differential equations: An introduction [304] --
9.2 Euler's method [311] --
9.3 Convergence analysis of Euler's method [319] --
9.4 Taylor and Runge-Kutta methods [326] --
9.5 Multistep methods [339] --
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