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Paper VI-Computer Oriented Numerical Methods

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Topic outline

  • Approximation and Errors Part-I

  • Approximation and Errors Part-II

  • Bisection Method

  • Computer Codes and Number System

  • Difference Operators

  • Gauss Jordan Method

  • Numerical Methods

  • Numerical Methods Introduction

  • Representation of Number and Arithmetic

  • Secant Method

  • EXAMPLES OF LANGRENGES INTERPOLATION FORMULA

  • EXAMPLES OF NEWTONS DIVIDED DIFFERENCE

  • NEWTONS DIVIDED DIFFERENCE OF UNEQUAL INTERVALS

  • COMPOSITE TRAPEZOIDAL RULE

  • TRAPEZOIDAL RULE

  • BOOLE'S RULE

  • SIMPSON'S 1_3 RULE

  • Simpsons 3_8 Rule

  • TRAPEZOIDAL AND SIMPSON'S 3_8 RULE

  • ORDINARY DIFFERENTIAL EQUATIONS

  • TAYLOR SERIES METHOD

  • SOLUTION OF SIMULTANEOUS-LINEAR-EQUAT

  • ROOTS OF NONLINEAR EQUATIONS AND ITERATIVE METHO

  • RELATION BETWEEN DEFFERENCE OPERATOR-PART 2

  • RELATION BETWEEN DEFFERENCE OPERATOR-PART 1

  • PICARDS METHOD

  • PICARDS METHOD EXAMPLES

  • NEWTONS DIVIDED DIFFERENCE OF UNEQUAL INTERVALS

  • NEWTON-RAPHSON-METHOD

  • NEWTON FORWARD INTERPOLATION

  • NEWTON FORWARD INTERPOLATION EXAMPLES

  • NEWTON BACKWARD INTERPOLATION FORMULA

  • LU-FACTORIZATION-METHOD

  • Lagranges interpolation

  • ILL CONDITIONED EQUATIONS AND THEIR REFINEMENT

  • GAUSS JORDEN METHOD

  • FALSE-POSITION -METHOD

  • EXAMPLES OF NEWTONS DIVIDED DIFFERENCE

  • EXAMPLES OF NEWTON BACKWARD INTERPOLATION FORMULA

  • EXAMPLE OF OPEN END METHODS AND BRACKETING METHODS

  • EXAMPLE OF GAUSS ELIMINATION METHOD AND PIVOTING

  • DIFFERENT OPERATORS

  • BISECTION METHOD

  • Paper VI-Computer Oriented Numerical Methods
  • Approximation and Errors Part-I
  • Approximation and Errors Part-II
  • Bisection Method
  • Computer Codes and Number System
  • Difference Operators
  • Gauss Jordan Method
  • Numerical Methods
  • Numerical Methods Introduction
  • Representation of Number and Arithmetic
  • Secant Method
  • EXAMPLES OF LANGRENGES INTERPOLATION FORMULA
  • EXAMPLES OF NEWTONS DIVIDED DIFFERENCE
  • NEWTONS DIVIDED DIFFERENCE OF UNEQUAL INTERVALS
  • COMPOSITE TRAPEZOIDAL RULE
  • TRAPEZOIDAL RULE
  • BOOLE'S RULE
  • SIMPSON'S 1_3 RULE
  • Simpsons 3_8 Rule
  • TRAPEZOIDAL AND SIMPSON'S 3_8 RULE
  • ORDINARY DIFFERENTIAL EQUATIONS
  • TAYLOR SERIES METHOD
  • SOLUTION OF SIMULTANEOUS-LINEAR-EQUAT
  • ROOTS OF NONLINEAR EQUATIONS AND ITERATIVE METHO
  • RELATION BETWEEN DEFFERENCE OPERATOR-PART 2
  • RELATION BETWEEN DEFFERENCE OPERATOR-PART 1
  • PICARDS METHOD
  • PICARDS METHOD EXAMPLES
  • NEWTONS DIVIDED DIFFERENCE OF UNEQUAL INTERVALS
  • NEWTON-RAPHSON-METHOD
  • NEWTON FORWARD INTERPOLATION
  • NEWTON FORWARD INTERPOLATION EXAMPLES
  • NEWTON BACKWARD INTERPOLATION FORMULA
  • LU-FACTORIZATION-METHOD
  • Lagranges interpolation
  • ILL CONDITIONED EQUATIONS AND THEIR REFINEMENT
  • GAUSS JORDEN METHOD
  • FALSE-POSITION -METHOD
  • EXAMPLES OF NEWTONS DIVIDED DIFFERENCE
  • EXAMPLES OF NEWTON BACKWARD INTERPOLATION FORMULA
  • EXAMPLE OF OPEN END METHODS AND BRACKETING METHODS
  • EXAMPLE OF GAUSS ELIMINATION METHOD AND PIVOTING
  • DIFFERENT OPERATORS
  • BISECTION METHOD
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