Programming Numerical Methods in Python

سرفصل های دوره

A Practical Approach to Understand the Numerical Methods

1 - Introduction

1 - 1-Introduction.pdf

1 - Introduction

2 - Roots of HighDegree Equations

2 - 2-roots-of-high-degree-equations.pdf

2 - Introduction and Simple Iterations Method

3 - Simple Iterations Method Code I for Loop

4 - Simple Iterations Method Code II while Loop

5 - Convergence vs Divergence

6 - NewtonRaphson Method

7 - Bisection Method Algorithm

8 - Bisection Method Code

9 - False Position Regula Falsi Mehtod

9 - Regula-Falsi-Method.pdf

10 - Secant Method

10 - secant-method.pdf

11 - UserDefined Functions RunTime Input

12 - Root Finding in SciPy Summary

3 - Interpolation and Curve Fitting

13 - 3-interpolation-and-curve-fitting.pdf

13 - Introduction and Linear Interpolation Method

14 - Lagranges Method Algorithm

15 - Lagranges Method Code

16 - Newtons Method Algorithm

17 - Newtons Method Code

18 - Linear Regression Algorithm

19 - Linear Regression Code I for Loop

20 - Linear Regression Code II NumPy Arrays

21 - Polynomial Fit Algorithm

22 - Polynomial Fit Code

23 - Interpolation Functions of SciPy

24 - Curve Fitting Functions of SciPy Summary

4 - Numerical Differentiation

25 - 4-numerical-differentiation.pdf

25 - Introduction and Finite Differences Method

26 - Finite Differences Method Code I

27 - Finite Differences Method Code II

28 - Plotting Derivative Curves

29 - Numerical Differentiation Function in SciPy Summary

5 - Numerical Integration

30 - 5-numerical-integration.pdf

30 - Introduction Trapezoidal Rule Algorithm

31 - Trapezoidal Rule Code

32 - Simpsons 13 Rule Algorithm

33 - Simpsons 13 Rule Code

34 - Simpsons 38 Rule Algorithm

35 - Simpsons 38 Rule Code

36 - Double Integration Algorithm

37 - Double Integration Code

38 - Quadrature in SciPy Summary

6 - Systems of Linear Equations

39 - 6-systems-of-linear-equations.pdf

39 - Introduction Gauss Elimination Method Algorithm

39 - gauss-elimination-example.pdf

40 - Gauss Elimination Method Code I Elimination

41 - Gauss Elimination Method Code II BackSubstitution

42 - Gauss Elimination Method Code III Modifications

43 - Jacobis Method Algorithm

44 - Jacobis Method Code

45 - GaussSeidels Method

45 - pnmp-6-05.zip

46 - Diagonal Dominance

47 - Linear System Solution in NumPy and SciPy Summary

48 - GaussJordan Method Procedure

48 - Gauss-Jordan-Method.pdf

49 - GaussJordan Method Algorithm Code

49 - pnmp-6-07.zip

7 - Ordinary Differential Equations

50 - 7-ordinary-differential-equations.pdf

50 - Introduction Eulers Method

51 - Second Order RungeKuttas Method

52 - Fourth Order RungeKuttas Method

53 - Fourth Order RungeKuttas Method Plot Numerical and Exact Solutions

54 - HigherOrder ODEs Algorithm

55 - HigherOrder ODEs Code

56 - HigherOrder ODEs Plotting Solutions

57 - ODE Solution in SciPy Summary

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تولید کننده: Udemy