Numerical Methods for Engineers and ScientistsThe desire for numerical answers to applied problems has increased manifold with the advances made in various branches of science and engineering and rapid development of high-speed digital computers. Although numerical methods have always been useful, their role in the present day scientific computations and research is of fundamental importance. numerous distinguishing features. The contents of the book have been organized in a logical order and the topics are discussed in a systematic manner. concepts; algorithms and numerous exercises at the end of each chapter; helps students in problem solving both manually and through computer programming; an exhaustive bibliography; and an appendix containing some important and useful iterative methods for the solution of nonlinear complex equations. |
Contents
Preface | 1 |
Introduction | 21 |
Exercises | 65 |
7 | 75 |
Exercises | 111 |
Exercises | 177 |
Exercises | 219 |
6 | 231 |
Exercises | 256 |
6 | 267 |
Exercises | 299 |
Exercises | 321 |
Common terms and phrases
a₁ accuracy Algorithm approximation b₁ b₂ binary boundary conditions boundary value problems c₁ called central difference coefficients correct to four cubic spline defined derivatives diagonal difference formula difference table digits eigenvalue eigenvector error Euler-Maclaurins formula Euler's method evaluate Example finite forward difference four decimal places Fourier Fredholm integral equation Gauss-Seidal method given equation Hence integral equation interpolation formula interval inverse iterative method k₁ k₂ Lagrange's Laplace transform linear M₁ M₂ mesh points method to find Newton-Raphson method Newton's forward obtain order of convergence partial differential equation polynomial R₁ required solution root lies Runge-Kutta secant method Simpson's rule solve subintervals system of equations tabulated Taylor's series theorem trapezoidal rule tridiagonal u₁ u₂ variable w₁ x₁ Xn+1 y₁ zero ди นา