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burden numerical analysis 5e pws

Tham khảo sách 'burden numerical analysis 5e pws', kỹ thuật - công nghệ, cơ khí - chế tạo máy phục vụ nhu cầu học tập, nghiên cứu và làm việc hiệu quả | Numerical Analysis FIFTH EDITION Ễẫ E SỈ Richard L. Burden Youngstown State University J. Douglas Faires Youngstown State University PWS PUBLISHING COMPANY BOSTON Contents Mathematical Preliminaries 1 1.1 Review of Calculus 2 1.2 Round-Off Errors and Computer Arithmetic 12 1.3 Algorithms and Convergence 24 1.4 Numerical Software 32 2 Solutions of Equations in One Variable 39 2.1 The Bisection Method 40 2.2 Fixed-Point Iteration 46 2.3 The Newton-Raphson Method 56 2.4 Error Analysis for Iterative Methods 70 2.5 Accelerating Convergence 78 2.6 Zeros of Polynomials and Muller s Method 82 2.7 Survey of Methods and Software 93 Interpolation and Polynomial Approximation 95 3.1 Interpolation and the Lagrange Polynomial 98 3.2 Divided Differences Ỉ12 3.3 Hermite Interpolation 123 3.4 Cubic Spline Interpolation 130 . 3.5 Parametric Curves 148 - 3.6 Survey of Methods and Software 154 Numerical Differentiation and Integration 156 4.1 Numerical Differentiation J57 4.2 Richardson s Extrapolation 168 4.3 Elements of Numerical Integration .