Krishna's - Numerical Methods
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SYLLABUS- NUMERICAL METHODS,
Unit-1
Roots of Equations: Bisections Method, False Position Method, Newton's Raphson Method, Rate of convergence of Newton's method.
Unit-2
Interpolation and Extrapolation: Finite Differences, The operator E, Newton's Forward and Backward Differences, Newton's divided differences formulae, Lagrange's Interpolation formula for unequal Intervals, Gauss's Interpolation formula, Starling formula, Bessel's formula, Laplace- Everett formula.
Unit-3
Numerical Differentiation Numerical Integration: Introduction, direct methods, maxima and minima of a tabulated function, General Quadratic formula, Trapezoidal rule, Simpson's One third rule, Simpson's three- eight rule.
Unit-4
Solution of Linear Equation: Gauss's Elimination method and Gauss's Siedel iterative method.
Unit-5
Solution of Differential Equations: Euler's method, Picard's method, Fourth-order Runge-Kutta method.
Unit-1
Roots of Equations: Bisections Method, False Position Method, Newton's Raphson Method, Rate of convergence of Newton's method.
Unit-2
Interpolation and Extrapolation: Finite Differences, The operator E, Newton's Forward and Backward Differences, Newton's divided differences formulae, Lagrange's Interpolation formula for unequal Intervals, Gauss's Interpolation formula, Starling formula, Bessel's formula, Laplace- Everett formula.
Unit-3
Numerical Differentiation Numerical Integration: Introduction, direct methods, maxima and minima of a tabulated function, General Quadratic formula, Trapezoidal rule, Simpson's One third rule, Simpson's three- eight rule.
Unit-4
Solution of Linear Equation: Gauss's Elimination method and Gauss's Siedel iterative method.
Unit-5
Solution of Differential Equations: Euler's method, Picard's method, Fourth-order Runge-Kutta method.
సంవత్సరం:
2021
భాష:
english
పేజీల సంఖ్య:
238
ISBN:
B099NP6G2F
ఫైల్:
PDF, 2.51 MB
IPFS:
,
english, 2021
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