Applications of Numerical Techniques with CApplications of Numerical Techniques With C discusses the salient features of computers, C language, Interpolation, Integration, Roots of an Equation, Solution of Simultaneous Equations, Eigenvalues and Eigenvectors of a Matrix, Solution of Differential Equations, Random Numbers and Statistical Parameters. Flow-chart is written for each technique. Each technique is explained with the help of simple exercises using simple language, and computer programs for dealing with complicated situations. |
Contents
Computers 110 | 1 |
Interpolation 5686 | 56 |
Integration 87106 | 87 |
Roots of an Equation 107131 | 107 |
Solution of Simultaneous Equations 132156 | 132 |
Eigenvalues and Eigenvectors of a Matrix 157 195 | 157 |
Solution of Differential Equation 196 220 | 196 |
Random Numbers 221 | 221 |
Statistical Parameters 229255 | 229 |
256 | |
Common terms and phrases
aa[i accu arithmetic mean bisectional method calculate the value characteristic equation computer program cubic splines curly braces data whose values differential equation do-while eigen1 eigenfunctions eigenvalues eigenvalues and eigenvectors eigenvector endend Euler method execution f(xi false position method find the value float func flow-chart and computer Flow-chart for calculation following exercise following integral following matrix forward differences fourth equations frequencies func(x function Gauss quadrature method goto twenty Hence include<math.h include<stdio.h independent equations integer interpolation formula interval isum limit[i loop median operators output polynomial equation pow(x power method Print printf quadratic equation random numbers real roots Runge-Kutta method second equation set of equations Simpson rule Solution solving statement stdio.h Stop Figure sum1 sumx Taylor series Taylor series method third equation trapezoidal rule value2 variable Write a computer Write a program x₁ xmax xmin Yi+1