Core Science - Numerical Methods and Programing (English)

   Tuesday, January 28, 2025   

Starting a new Lecture Notes Series on Mechanical - Dynamics of Machines

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Mechanical - Dynamics of Machines By Lecture Notes together!

Lecture 1: Lecture 1 - Programing Basics

Lecture 2: Lecture 2 - Introduction to Pointers

Lecture 3: Lecture 3 - Pointers And Arrays

Lecture 4: Lecture 4 - External Functions and Argument Passing

Lecture 5: Lecture 5 - Representation of Numbers

Lecture 6: Lecture 6 - Numerical Error

Lecture 7: Lecture 7 - Error Propagation and Stability

Lecture 8: Lecture 8 - Polynomial Interpolation-1

Lecture 9: Lecture 9 - Polynomial Interpolation-2

Lecture 10: Lecture 10 - Error In Interpolation Polynomial

Lecture 11: Lecture 11 - Polynomial Interpolation

Lecture 12: Lecture 12 - Cubic Spline Interpolation

Lecture 13: Lecture 13 - Data Fitting : Linear Fit

Lecture 14: Lecture 14 - Data Fitting : Linear Fit

Lecture 15: Lecture 15 - Data Fitting : Non Linear Fit

Lecture 16: Lecture 16 - Matrix Elimation and Solution

Lecture 17: Lecture 17 - Solution To Linear Equations

Lecture 18: Lecture 18 - Matrix Elimination

Lecture 19: Lecture 19 - Eigen Values of A Matrix

Lecture 20: Lecture 20 - Eigen Values And Eigen Vectors

Lecture 21: Lecture 21 - Solving NonLinear Equations

Lecture 22: Lecture 22 - Solving NonLinear Equations Newton

Lecture 23: Lecture 23 - Methods For Solving NonLinear Equations

Lecture 24: Lecture 24 - System of NonLinear Equations

Lecture 25: Lecture 25 - Numerical Derivations

Lecture 26: Lecture 26 - High order Derivatives From Difference Formula

Lecture 27: Lecture 27 - Numerical Integration - Basic Rules

Lecture 28: Lecture 28 - Comparison of Different Basic Rules

Lecture 29: Lecture 29 - Gaussian Rules

Lecture 30: Lecture 30 - Comparison of Gaussian Rules

Lecture 31: Lecture 31 - Solving Ordinary Differential Equations

Lecture 32: Lecture 32-Solving ordinary differential equations

Lecture 33: Lecture 33 - Adaptive step size Runge Kutta scheme

Lecture 34: Lecture 34 - Partial Differential Equations

Lecture 35: Lecture 35 - Explicit and Implicit Methods

Lecture 36: Lecture - 36 The Crank - Nicholson Scheme For Two Spatial

Lecture 37: Lecture 37 - Fourier Transforms

Lecture 38: Lecture 38 Fast Fourier Transforms