Numerical methods for engineers and scientists

Joe D. Hoffman0824704436, 9780824704438, 9780585419398

Presents a methodology for systematically constructing individual computer programs, emphasizing the finite difference approach for solving differential equations, and with new consideration for the finite element method. Each chapter includes FORTRAN programs for implementing algorithms, with more than 2600 mathematical expressions. Previous edition not cited.

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Table of contents :
Contents……Page 8
I. Basic Tools of Numerical Analysis……Page 13
Systems of Linear Algebraic Equations……Page 28
Eigenproblems……Page 92
Nonlinear Equations……Page 137
Polynomial Approximation and Interpolation……Page 197
Numerical Differentiation and Difference Formulas……Page 261
Numerical Integration……Page 295
II. Ordinary Differential Equations……Page 332
1-Dimensional Initial Value ODE’s……Page 343
1-Dimensional Boundary Value ODE’s……Page 442
III. Partial Differential Equations……Page 507
Elliptic PDE’s……Page 533
Parabolic PDE’s……Page 592
Hyperbolic PDE’s……Page 656
The Finite Element Method……Page 715
Answers to Selected Problems……Page 781
Index……Page 797