This document provides an overview of computer based numerical techniques (CBNST). It discusses applications of CBNST in fields like signal processing, system monitoring, astrological data analysis, system identification, and quality control. Some key topics covered include solving algebraic equations, interpolation, numerical differentiation and integration, and statistical computation. Specific numerical methods discussed include bisection, Newton-Raphson, regular falsi, and Muller's method. Applications highlighted include using regular falsi for pollution prediction and interpolation for approximating spring load and deflection graphs. Numerical integration is also introduced as the approximate computation of integrals.

1. A PRESENTATION ON
C.B.N.S.T.

2. COMPUTER BASED NUMERICALS
TECHNIQUES:
 It is use to optimize performance and minimize errors in problem

3. APPLICATIONS:
 In Signal Processing that treats signals as stochastic process,dealing with
their statistical properties.
 In regular monitoring to attempt to detect changes in the environment.
 To analysis and understand the astrological data.
 In system Identification to build mathematical models of dynamical system
for data measurement and for optimal design of experiment.
 In operational research of applied mathematics and formal science.
 In quality control system for inspection, testing, analysis to ensure that
quality of product is as per requirements.

4. TOPICS OF CBNST:
 SOLUTION OF ALGEBRIC EQUTIONS
 INTERPOLATION
 NUMERICAL DIFFERENTIATION AND INTEGRATION
 STATISTICAL COMPUTATION

5. SOLUTION OF ALGEBRIC
EQUTIONS
 BISECTION METHOD
 NEWTON RAPHSON METHOD
 REGULAR FALSI METHOD
 MULLER METHOD
 ITERATIVER METHOD

6. APPLICATION OF REGULAR FALSI
 It can be used in the prediction of trace quantities of atmospheric
pollutants produced by combustion reactions such as those found in
industrial point sources.

7. INTERPOLATION
 In the mathematical field of numerical analysis, interpolation is a method
of constructing new data points within the range of a discrete set of known
data points.
 Interpolation is the approximation of a complicated function by a simple
function.

9. APPLICATION:
 A spring is an elastic object used to store mechanical enrgy.In case of
mechanical spring there is a spring load and deflection graph.The
deflection is in mm and load is in N. The deflection is plotted on
axes.Often we have to find the values between the two sets of values .
Hence interpolation is the technique used to find the unknown values.

10. NUMERICAL INTEGRATION
 In numerical integration is the approximate computation of an integral
using numerical techniques.The numerical computation of an integral is
sometimes called quadrature.
 The basic problem in numerical intrgration is to compute an
approximation solution to a definite integral to a given degree of accuracy.