Скачать или смотреть Math | B.Sc.T.Y. | Numerical Analysis | Newton-Gregory. | Lect.14 | Dr. S. S. Bellale | DSCL

#B. Sc. #M. Sc. #SET #NET #CSIR #UPSE #12th #11th #IIT-JAM #IIT-JEE #Mathematics #SidhshwarBellale #SRTMU #DayanandCollegeLatur #BAMU #SPPU #MU #SU #AMU #DU #BHU #KU # B.Sc. Introduction,
Differences,
Factorial Notation,
The Operator E,
Properties of E and ∆,
The Operators D and ▼,
Interpolation, Extrapolation,
Interpolation with Equal Intervals,
Newton- Gregory Formula for Forward and Backward Interpolation,
Equidistant Terms with one or more Missing Terms.
Interpolation for Unequal Intervals of the arguments,
Divided Differences with Unequal Intervals,
Divided Differences, when Two or More Arguments are Same,
Properties of Divided Differences (Theorems 1, 2 only).Properties of Divided Differences (Theorems 3, 4 only),

Newton’s, Formula for Unequal Intervals,

Lagrange’s Formula for Unequal Intervals,

Central Differences (∆, ▼, , μ, ),

Interpolation Formulae: Gauss,

Bessel and Stirling’s
Introduction,
Approximate Expressions for the Derivative of a Function,
Unsymmetrical Expressions for Third Order Derivatives
Numerical Quadrature:
Introduction,
General Quadrature Formula,
Trapezoidal,
Simpson’s One-third and Three-eight Rules.
Weddle’s Rule.
Numerical Solution of O.D.E.: Introduction,
Equation of First order,
Euler’s Method,
Euler’s Modified Method,
Picard’s method,
Talyor’s Series Method