Course Description:

This video Lectures is on Numerical Analysis and Computer Programming by P.B.Sunil Kumar, Department of Physics, IIT Madras. -

Programing Basics. Introduction to Pointers, Pointers And Arrays, External Functions and Argument Passing, Representation of Numbers, Numerical Error, Error Propagation and Stability, Polynomial Interpolation, Error In Interpolation Polynomial, Polynomial Interpolation, Cubic Spline Interpolation, Data Fitting : Linear Fit, Data Fitting : Non Linear Fit, Matrix Elimation and Solution, Solution To Linear Equations, Matrix Elimination, Eigen Values of A Matrix, Eigen Values And Eigen Vectors, Solving NonLinear Equations, Solving NonLinear Equations Newton Rapson Method, Methods For Solving NonLinear Equations, System of NonLinear Equations, Numerical Derivations, High order Derivatives From Difference Formula, Numerical Integration - Basic Rules, Comparison of Different Basic Rules, Gaussian Rules, Comparison of Gaussian Rules, Solving Ordinary Differential Equations, Adaptive step size Runge Kutta scheme, Partial Differential Equations, Explicit and Implicit Methods, The Crank - Nicholson Scheme For Two Spatial, Fourier Transforms, Fast Fourier Transforms.

This video Lectures is on Numerical Analysis and Computer Programming by P.B.Sunil Kumar, Department of Physics, IIT Madras. -

Programing Basics. Introduction to Pointers, Pointers And Arrays, External Functions and Argument Passing, Representation of Numbers, Numerical Error, Error Propagation and Stability, Polynomial Interpolation, Error In Interpolation Polynomial, Polynomial Interpolation, Cubic Spline Interpolation, Data Fitting : Linear Fit, Data Fitting : Non Linear Fit, Matrix Elimation and Solution, Solution To Linear Equations, Matrix Elimination, Eigen Values of A Matrix, Eigen Values And Eigen Vectors, Solving NonLinear Equations, Solving NonLinear Equations Newton Rapson Method, Methods For Solving NonLinear Equations, System of NonLinear Equations, Numerical Derivations, High order Derivatives From Difference Formula, Numerical Integration - Basic Rules, Comparison of Different Basic Rules, Gaussian Rules, Comparison of Gaussian Rules, Solving Ordinary Differential Equations, Adaptive step size Runge Kutta scheme, Partial Differential Equations, Explicit and Implicit Methods, The Crank - Nicholson Scheme For Two Spatial, Fourier Transforms, Fast Fourier Transforms.

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