Numerical Analysis and Computer Programming

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1 STUDENTS

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

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