Introduction to Pointers – Programing Basics – Pointers And Arrays – 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 Fit – Matrix Elimination 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 – 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-1 Details 59:29 Polynomial Interpolation-2 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 Details 54:59 Data Fitting : Linear Fit I Details 57:6 Data Fitting : Non Linear Fit II 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 I 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 Details 58:37 Solving ordinary differential equations I 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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