Introduction to Pointers-Programing Basics-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,non linear -Matrix Elimation and Solution-Solution To Linear Equations-Matrix Elimination – Eigen Values of A Matrix-Eigen Values And Eigen Vectors-Solving NonLinear Equations,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

### Course Curriculum

 Programing Basics Details 57:21 Introduction to Pointers Details 57:1 Pointers And Arrays Details 1:8 External Functions and Argument Passing Details 56:26 Representation of Numbers Details 56:48 Numerical Error Details 56:1 Error Propagation and Stability Details 53:3 Polynomial Interpolation I Details 59:29 Polynomial Interpolation II Details 57:8 Error In Interpolation Polynomial Details 56:56 Polynomial Interpolation Details 58:11 Cubic Spline Interpolation Details 56:26 Data Fitting : Linear Fit I Details 54:59 Data Fitting : Linear Fit II Details 57:6 Data Fitting : Non Linear Fit Details 57:48 Matrix Elimation and Solution Details 57:27 Solution To Linear Equations Details 57:51 Matrix Elimination Details 58:1 Eigen Values of A Matrix Details 58:24 Eigen Values And Eigen Vectors Details 57:48 Solving NonLinear Equations Details 55:43 Solving NonLinear Equations Newton Rapson Method Details 58:2 Methods For Solving NonLinear Equations Details 57:30 System of NonLinear Equations Details 58:48 Numerical Derivations Details 58:54 High order Derivatives From Difference Formula Details 59:50 Numerical Integration – Basic Rules Details 58:42 Comparison of Different Basic Rules Details 59:11 Gaussian Rules Details 59:6 Comparison of Gaussian Rules Details 59:14 Solving Ordinary Differential Equations I Details 58:37 Solving ordinary differential equations II Details 59:59 Adaptive step size Runge Kutta scheme Details 57:54 Partial Differential Equations Details 58:37 Explicit and Implicit Methods Details 59:1 The Crank – Nicholson Scheme For Two Spatial Details 55:50 Fourier Transforms Details 1:5 Fast Fourier Transforms Details 1:13

This course is part of NPTEL online courses, delivered by IIT Madras.

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