TY - BOOK AU - Chapra,Steven C. AU - Canale,Raymond P. TI - Numerical methods for engineers SN - 9780073401065 (hard copy : alk. paper) AV - TA345 .C47 2010 U1 - 620.0015 21 PY - 2010/// CY - Boston PB - McGraw-Hill Higher Education KW - Engineering mathematics KW - Data processing KW - Numerical calculations KW - Microcomputers KW - Programming N1 - Includes bibliographical references (p. 952-954) and index; part 1 Modeling, Computers, and Error Analysis -- 1 Mathematical Modeling and Engineering Problem Solving -- 2 Programming and Software -- 3 Approximations and Round-Off Errors -- 4 Truncation Errors and the Taylor Series -- Part 2 Roots of Equations -- 5 Bracketing Methods -- 6 Open Methods -- 7 Roots of Polynomials -- 8 Case Studies: Roots of Equations -- Part 3 Linear Algebraic Equations -- 9 Gauss Elimination -- 10 LU Decomposition and Matrix Inversion -- 11 Special Matrices and Gauss-Seidel -- 12 Case Studies: Linear Algebraic Equations -- Part 4 Optimization -- 13 One-Dimensional Unconstrained Optimization -- 14 Multidimensional Unconstrained Optimization -- 15 Constrained Optimization -- 16 Case Studies: Optimization -- Part 5 Curve Fitting -- 17 Least-Squares Regression -- 18 Interpolation -- 19 Fourier Approximation -- 20 Case Studies: Curve Fitting -- Part 6 Numerical Differentiation and Integration -- 21 Newton-Cotes Integration Formulas -- 22 Integration of Equations -- 23 Numerical Differentiation -- 24 Case Studies: Numerical Integration and Differentiation -- Part 7 Ordinary Differential Equations -- 25 Runge-Kutta Methods -- 26 Stiffness and Multistep Methods -- 27 Boundary-Value and Eigenvalue Problems -- 28 Case Studies: Ordinary Differential Equations -- Part 8 Partial Differential Equations -- 29 Finite Difference: Elliptic Equations -- 30 Finite Difference: Parabolic Equations -- 31 Finite-Element Method -- 32 Case Studies: Partial Differential Equations -- Appendix A The Fourier Series -- Appendix B Getting Started with Matlab -- Bibliography -- Index UR - http://repository.fue.edu.eg/xmlui/handle/123456789/1620 ER -