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Newton's Interpolation Formulae
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Notes on Mathematics -
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Transform of the Unit-Impulse
Contents
Numerical Applications
Subsections
Newton's Interpolation Formulae
Introduction
Difference Operator
Forward Difference Operator
Backward Difference Operator
Central Difference Operator
Shift Operator
Averaging Operator
Relations between Difference operators
Newton's Interpolation Formulae
Lagrange's Interpolation Formula
Introduction
Divided Differences
Lagrange's Interpolation formula
Gauss's and Stirling's Formulas
Numerical Differentiation and Integration
Introduction
Numerical Differentiation
Numerical Integration
A General Quadrature Formula
Trapezoidal Rule
Simpson's Rule
Numerical Methods
Introduction
Euler's Method
Error Estimates and Convergence
Runge-Kutta Method
Algorithm: Runge-Kutta Method of Order
Runge-Kutta Method of Order
Predictor-Corrector Methods
Algorithm for Predictor-Corrector Method
Appendix
System of Linear Equations
Determinant
Properties of Determinant
Dimension of
Proof of Rank-Nullity Theorem
Condition for Exactness
A K Lal 2007-09-12
