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Numerical Analysis
Lecture 4.3: Derive Gauss elimination method. Problems of Gauss-Jordan elimination method.
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Lecture 4.3: Derive Gauss elimination method. Problems of Gauss-Jordan elimination method.
Numerical Analysis
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Part A: Interpolation
Lecture 1.1: Operators, differences table, various methods of interpolation
Lecture 1.2: Derive Newton formula for forward interpolation with equal intervals.
Derive Newton formula
Lecture 1.2.A: Problems of Newton forward formula for equal intervals.
Newton formula for forward interpolation
Newton formula for forward interpolation
Lecture 1.3: Derive Newton formula for backward interpolation with equal intervals.
Lecture 1.3.A: Problems of Newton backward formula for equal intervals
Lecture 1.4: Derive Newton’s divided difference formula with unequal interval.
Lecture 1.4.A: Problems of Newton’s divided difference formula for unequal intervals
Part B: Numerical Integration
Lecture 2.1: Different types of error
Different types of error
Different types of error
Lecture 2.2: Derive Trapezoidal rule, Simpson’s one-third rule, Simpson’s three-eight rule, Weddle’s rule
Lecture 2.2.A: Problems of Trapezoidal rule, Simpson’s one-third rule, Simpson’s three-eight rule, Weddle’s rule
Problems of Trapezoidal rule, Simpson’s one-third rule, Simpson’s three-eight rule, Weddle’s rule
Problems of Trapezoidal rule,
Part C: Numerical Solution of Ordinary Differential Equations
Lecture 3.1: Derive Picard’s method
Picard’s method
Picard’s method
Lecture 3.1.A: Problems of Picard’s method
Problems of Picard’s method
Lecture 3.2: Derive Euler’s method. Problems of Euler’s method
Lecture 3.3: Derive Modified Euler’s method
Lecture 3.3.A: Problems of Modified Euler’s method
Lecture 3.4: Derive Runge-Kutta method. Problems of Runge-Kutta method
Problems of Runge-Kutta method
Runge-Kutta method
Part D: Solution of Algebraic, Linear Algebraic and Transcendental Equations
Lecture 4.1: Derive Newton-Raphson method. Problems of Newton-Raphson method
Problems of Newton-Raphson method
Newton-Raphson method
Lecture 4.2: Derive Cramer's Rule, Problems of Cramer's Rule
Lecture 4.3: Derive Gauss elimination method. Problems of Gauss-Jordan elimination method.
Lecture 4.4: Derive Method of factorization
Lecture 4.4.A: Problems Method of factorization
Lecture 4.5: Derive Jacobi Iteration method. Problems Jacobi Iteration method
Lecture 4.6: Derive Gauss-Seidel Iteration method. Problems Jacobi Iteration method
Part E: Matrix Inversion
Lecture 5.1: Derive Gauss elimination method and Gauss-Jordan elimination method. Problems of Gauss elimination method and Gauss-Jordan elimination method
Lecture 5.2: Derive Crout’s method. Problems of Crout’s method
Lecture 5.3: Define eigenvalue, eigenvector. Problems of eigenvalue, eigenvector
Part F: Curve Fitting
Lecture 6.1: Derive Method of least squares
Problems of Method of least squares
Problems of Method of least squares
Problems of Method of least squares
Problems of Method of least squares
Problems of Method of least squares
Lecture 6.1.A: Problems of Method of least squares
Problems of Method of least squares
Lecture 4.3: Derive Gauss elimination method. Problems of Gauss-Jordan elimination method.
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