Numerical Methods and Programing

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2 STUDENTS

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

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