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Numerical Analysis and Computer Programming

Numerical Analysis and Computer Programming

01 Programing Basics

02 Introduction to Pointers

03 Pointers And Arrays

04 External Functions and Argument Passing

05 Representation of Numbers

06 Numerical Error

07 Error Propagation and Stability

08 Polynomial Interpolation-1

09 Polynomial Interpolation-2

10 Error In Interpolation Polynomial

11 Polynomial Interpolation

12 Cubic Spline Interpolation

13 Data Fitting Linear Fit

14 Data Fitting Linear Fit

15 Data Fitting Non Linear Fit

16 Matrix Elimination and Solution

17 Solution To Linear Equations

18 Matrix Elimination

19 Eigen Values of A Matrix

20 Eigen Values And Eigen Vectors

21 Solving NonLinear Equations

22 Solving NonLinear Equations Newton Raphson Method

23 Methods For Solving NonLinear Equations

24 System of NonLinear Equations

25 Numerical Derivations

26 High order Derivatives From Difference Formula

27 Numerical Integration - Basic Rules

28 Comparison of Different Basic Rules

29 Gaussian Rules

30 Comparison of Gaussian Rules

31 Solving Ordinary Differential Equations

32 Solving ordinary differential equations

33 Adaptive step size Runge Kutta scheme

34 Partial Differential Equations

35 Explicit and Implicit Methods

36 The Crank - Nicholson Scheme For Two Spatial

37 Fourier Transforms

38 Fast Fourier Transforms

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