000			03533cam a22002414a 4500
008			090510s2003 caua b 001 0 eng
010			_a2002112826
020			_a9780534407612
035			_a(Sirsi) u1563
040			_aEG-CaNU _cEG-CaNU _dEG-CaNU
042			_ancode
082	0	0	_a518 _2 22
100	1		_aFaires, J. Douglas. _91987
245	1	0	_aNumerical methods / _c J. Douglas Faires, Richard Burden.
250			_a3rd ed.
260			_aPacific Grove, CA : _b Thomson/Brooks/Cole, _c c2003.
300			_axii, 622 p. : _b ill. (some col.) ; _c 25 cm. + _e 1 CD-ROM (4 3/4 in.)
504			_aIncludes bibliographical references (p. 539-544) and index.
505	0		_a1. MATHEMATICAL PRELIMINARIES AND ERROR ANALYSIS. Introduction. Review of Calculus. Round-off Error and Computer Arithmetic. Errors in Scientific Computation. Computer Software. 2. SOLUTIONS OF EQUATIONS OF ONE VARIABLE. Introduction. The Bisection Method. The Secant Method. Newton's Method. Error Analysis and Accelerating Convergence. Müller's Method. Survey of Methods and Software. 3. INTERPOLATION AND POLYNOMIAL APPROXIMATION. Introduction. Lagrange Polynomials. Divided Differences. Hermite Interpolation. Spline Interpolation. Parametric Curves. Survey of Methods and Software. 4. NUMERICAL INTEGRATION AND DIFFERENTIATION. Introduction. Basic Quadrature Rules. Composite Quadrature Rules. Romberg Integration. Gaussian Quadrature. Adaptive Quadrature. Multiple Integrals. Improper Integrals. Numerical Differentiation. Survey of Methods and Software. 5. NUMERICAL SOLUTION OF INITIAL-VALUE PROBLEMS. Introduction. Taylor Methods. Runge-Kutta Methods. Predictor-Corrector Methods. Extrapolation Methods. Adaptive Techniques. Methods for Systems of Equations. Stiff Differentials Equations. Survey of Methods and Software. 6. DIRECT METHODS FOR SOLVING LINEAR SYSTEMS. Introduction. Gaussian Elimination. Pivoting Strategies. Linear Algebra and Matrix Inversion. Matrix Factorization. Techniques for Special Matrices. Survey of Methods and Software. 7. ITERATIVE METHODS FOR SOLVING LINEAR SYSTEMS. Introduction. Convergence of Vectors. Eigenvalues and Eigenvectors. The Jacobi and Gauss-Seidel Methods. The SOR Method. Error Bounds and Iterative Refinement. Survey of Methods and Software. 8. APPROXIMATION THEORY. Introduction. Discrete Least Squares Approximation. Continuous Least Squares Approximation. Chebyshev Polynomials. Rational Function Approximation. Trigonometric Polynomial Approximation. Fast Fourier Transforms. Survey of Methods and Software. 9. APPROXIMATING EIGENVALUES. Introduction. Isolating Eigenvalues. The Power Method. Householder's Method. The QR Method. Survey of Methods and Software. 10. SOLUTIONS OF SYSTEMS OF NONLINEAR EQUATIONS. Introduction. Newton's Methods for Systems. Quasi-Newton Methods. The Steepest Descent Method. Survey of Methods and Software. 11. BOUNDARY-VALUE PROBLEMS FOR ORDINARY DIFFERENTIAL EQUATIONS. Introduction. The Linear Shooting Method. Linear Finite Difference Methods. The Nonlinear Shooting Method. Nonlinear Finite-Difference Methods. Variational Techniques. Survey of Methods and Software. 12. NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS. Introduction. Finite-Difference Methods for Elliptic Problems. Finite-Difference Methods for Parabolic Problems. Finite-Difference Methods for Hyperbolic Problems. Introduction to the Finite-Element Method. Survey of Methods and Software.
650		0	_aNumerical analysis. _9453
700	1		_aBurden, Richard L. _91988
596			_a1
999			_c620 _d620