000			02700cam a2200241 a 4500
999			_c190 _d190
001			1357
005			20200630105340.0
008			021210s2004 maua b 001 0 eng
020			_a0321133048
022			_a9788131717400 (pbk)
040			_cPK
082	0	0	_a519.4 _221 _bG354
100	1		_aGerald, Curtis F.,
245	1	0	_aApplied numerical analysis / _cCurtis F. Gerald, Patrick O. Wheatley.
250			_a7th ed.
260			_aNew Dehli : _bPearson, _c2008
300			_ax, 609 p. _bill. ; _c25 cm.
500			_aIncludes bibliographical references (p. 599-602) and index.
650		0	_aNumerical analysis.
700	1		_aWheatley, Patrick O.
942			_cBK
505	0		_a0. Preliminaries. Analysis versus Numerical Analysis.Computers and Numerical Analysis.An Illustrative Example.Kinds of Errors in Numerical Procedures.Interval Arithmetic.Parallel and Distributed Computing.Measuring the Efficiency of Procedures.1. Solving Nonlinear Equations. Interval Halving (Bisection).Linear Interpolation Methods.Newton's Method.Muller's Method.Fixed-Point Iteration.Other Methods.Nonlinear Systems.2. Solving Sets of Equations. Matrices and Vectors.Elimination Methods.The Inverse of a Matrix and Matrix Pathology.Almost Singular Matrices - Condition Numbers.Interactive Methods.Parallel Processing.3. Interpolation and Curve Fitting. Interpolating Polynomials.Divided Differences.Spline Curves.Bezier Curves and B-Splines.Interpolating on a Surface.Least Squares Approximations.4. Approximation of Functions. Chebyshev Polynomials and Chebyshev Series.Rational Function Approximations.Fourier Series.5. Numerical Differentiation and Integration. Differentiation with a Computer.Numerical Integration - The Trapezoidal Rule.Simpson's Rules.An Application of Numerical Integration - Fourier Series and Fourier Transforms Adaptive Integration.Gaussian Quadrature.Multiple Integrals.Applications of Cubic Splines.6. Numerical Solution of Ordinary Differential Equations. The Taylor Series Method.The Euler Method and Its Modification.Runge-Kutta Methods.Multistep Methods.Higher-Order Equations and Systems.Stiff Equations.Boundary-Value Problems.Characteristic-Value Problems.7. Optimization. Finding the Minimum of y = f(x).Minimizing a Function of Several Variables.Linear Programming.Nonlinear Programming.Other Optimizations.8. Partial Differential Equations. Elliptic Equations.Parabolic Equations.Hyperbolic Equations.9. Finite Element Analysis. Mathematical Background.Finite Elements for Ordinary Differential Equation.Finite Elements for Partial Differential Equation.Appendices. A. Some Basic Information from Calculus.B. Software Resources.Answers to Selected Exercises. References. Index.