This course is FREE thanks to
Numerical Techniques
Various instructors and tutors
Course videos
       For you to access these videos, you need to be logged in and registered in the course

Errors
True Error: Definition & Example
Relative True Error: Definition & Example
Approximate Error Definition & Example
Relative Approximate Error: Definition & Example
Round-off Error: Definition and Examples
Effect of Carrying Significant Digits
Truncation Error: Definition
Truncation Error : Example : Series
Truncation Error : Example : Integration
Truncation Error : Example : Differentiation
Floating Point Representation Background: Part 1 of 3
Floating Point Representation Background: Part 2 of 3
Floating Point Representation Background: Part 3 of 3
Floating Point Representation: Example: Part 1 of 1
Floating Point Representation: Example: Part 2 of 2
Taylor Series
Introduction to Taylor Series
Taylor Series: Example
Taylor Series: Deriving the Series for exp(x)
Taylor Series: Example: Finding sin(2.0)
Numerical Differentiation
Background of Differentiation
Interpolation
Forward Divided Difference: Part 1 of 2
Forward Divided Difference: Part 2 of 2
Backward Divided Difference: Part 1 of 2
Backward Divided Difference: Part 2 of 2
Central Divided Difference
Higher Order Derivative Divided Difference: Theory
Higher Order Derivative Divided Difference: Example
Accuracy of Divided Difference Formulas: Part 1 of 2
Accuracy of Divided Difference Formulas Part 2 of 2
Divided Difference Approach
Newton's Divided Difference Polynomial Method: Theory
Newton's Divided Difference Polynomial Method: Example
Approximations
Background of Bisection Method
Algorithm of Bisection Method
Example of Bisection Method
Advantages & Drawbacks of Bisection Method
Derivation of Newton-Raphson Method
Example for Newton-Raphson Method
Advantages & Drawbacks for Newton-Raphson Method: Part 1 of 2
Advantages & Drawbacks for Newton-Raphson Method: Part 2 of 2
Derivation from Taylor Series of Newton-Raphson Method
Supercomputers have No Divide Unit - A Newton-Raphson Method Approach
Supercomputers have No Divide Unit - Example
Finding Square Root of a Number - A Newton-Raphson Method Approach
Finding Square Root of a Number - Example
Derivation of Secant Method: Approach 1 of 2
Derivation of Secant Method: Approach 2 of 2
Algorithm of Secant Method
Example of Secant Method
False-Position Method: Part 1 of 3
False-Position Method: Part 2 of 3
False-Position Method: Part 3 of 3
Matrices
Diagonal and Identity Matrices
What is a Diagonally Dominant Matrix
Upper and Lower Triangular Matrices
Adding Two Matrices
Subtracting Two Matrices
Multiplying Two Matrices
Inverse of a Matrix
Setting up Equations in a Matrix Form
Naive-Gauss Elimination
Naive Gaussian elimination: Theory: Part 1 of 2
Naive Gaussian elimination: Theory: Part 2 of 2
Naive Gauss Elimination Method: Example: Part 1 of 2 (Forward Elimination)
Naive Gauss Elimination Method: Example: Part 2 of 2 (Back Substitution)
Pitfalls of Naive Gauss Elimination Method
Naive Gauss Elimination: Round-off Error Issues: Example: Part 1 of 3
Naive Gauss Elimination: Round-off Error Issues: Example: Part 2 of 3
Naive Gauss Elimination: Round-off Error Issues: Example: Part 3 of 3
Gaussian Elimination with Partial Pivoting
Gaussian Elimination With Partial Pivoting: Theory
Gaussian Elimination With Partial Pivoting: Example: Part 1 of 3 (Forward Elimination)
Gaussian Elimination With Partial Pivoting: Example: Part 2 of 3 (Forward Elimination)
Gaussian Elimination With Partial Pivoting: Example: Part 3 of 3 (Back Substitution)
Gaussian Elimination With Partial Pivoting: Round-off Error Issues: Example: Part 1 of 3
Gaussian Elimination With Partial Pivoting: Round-off Error Issues: Example: Part 2 of 3
Gaussian Elimination With Partial Pivoting: Round-off Error Issues: Example: Part 3 of 3
Gauss-Seidel Method
Gauss-Seidel Method of Solving Simul Linear Eqns: Theory: Part 1 of 2
Gauss-Seidel Method of Solving Simul Linear Eqns: Theory: Part 2 of 2
Gauss-Seidel Method of Solving Simul Linear Eqns: Example: Part 1 of 2
Gauss-Seidel Method of Solving Simul Linear Eqns: Example: Part 2 of 2
Gauss-Seidel Method of Solving Simul Linear Eqns: Pitfalls and Advantages: Part 1 of 2
Gauss-Seidel Method of Solving Simul Linear Eqns: Pitfalls and Advantages: Part 2 of 2
LU Decomposition
LU Decomposition: Basis
LU Decomposition Method: Example
Why LU Decomposition: Part 1
Why LU Decomposition: Part 2
Decomposing a Square Matrix: Part 1 of 2
Decomposing a Square Matrix: Part 2 of 2
Finding Inverse of a Matrix Using LU Decomposition: Background
Finding Inverse of a Matrix Using LU Decomposition: Example
Polynomial Interpolation
Polynomial Interpolation Method
Uniqueness of Polynomial Interpolant: Part 1 of 2
Uniqueness of Polynomial Interpolant: Part 2 of 2
Linear Interpolation
Quadratic Interpolation
Cubic Interpolation - Part 1 of 2
Cubic Interpolation - Part 2 of 2
Newton's Divided Difference Polynomial: Linear Interpolation: Theory
Newton's Divided Difference Polynomial: Linear Interpolation: Example
Newton's Divided Difference Polynomial: Quadratic Interpolation: Theory
Newtons Divided Difference Polynomial Interpolation: Quadratic Interpolation: Example Part 1 of 2
Newtons Divided Difference Polynomial Interpolation: Quadratic Interpolation: Example Part 2 of 2
General Order: Newton's Divided Difference Polynomial: Theory: Part 1 of 2
General Order: Newton's Divided Difference Polynomial: Theory: Part 2 of 2
General Order: Newton's Divided Difference Polynomial: Example: Part 1 of 2
General Order: Newton's Divided Difference Polynomial: Example: Part 2 of 2
Lagrangian Interpolation
Lagrangian Interpolation: Theory
Lagrangian Interpolation: Linear Interpolation: Example
Lagrangian Interpolation: Quadratic Interpolation: Example: Part 1 of 2
Lagrangian Interpolation: Quadratic Interpolation: Example: Part 2 of 2
Lagrangian Interpolation: Cubic Interpolation: Example: Part 1 of 2
Lagrangian Interpolation: Cubic Interpolation: Example: Part 2 of 2
Trapezoidal Rule
Trapezoidal Rule Derivation
Trapezoidal Rule: Example
Trapezoidal Rule Multiple Segment Rule: Motivation
Trapezoidal Rule Multiple Segment Rule: Derivation
Trapezoidal Rule Multiple Segment Rule: Example: Part 1 of 2
Trapezoidal Rule Multiple Segment Rule: Example: Part 2 of 2
Trapezoidal Rule Multiple Segment Rule: Error Derivation
Trapezoidal Rule Multiple Segment Rule: Error Example
Method of Undetermined Coefficients: Trapezoidal Rule Derivation
Simpson's 1/3 Rule
Simpson's One Third Rule Derivation
Simpsons 1/3 Rule of Integration: Example
Multiple Segment Simpson 1/3 Rule Derivation Part 1 of 2
Multiple Segment Simpson 1/3 Rule Derivation Part 2 of 2
Multiple Segment Simpson 1/3 Rule Example: Part 1 of 2
Multiple Segment Simpson 1/3 Rule Example Part 2 of 2
Euler's Methods
Euler's Method of Solving ODEs: Derivation
Euler's Method of Solving ODEs: Example
Euler's Method of Estimating Integrals: Theory
Euler's Method of Estimating Integrals: Example
Runge-Kutta 2nd Order Method
Runge-Kutta 2nd Order Method: Background
Runge-Kutta 2nd Order Method: Formulas
Runge-Kutta 2nd Order Method: Heun's Method
Runge-Kutta 2nd Order Method: Midpoint Method
Runge-Kutta 2nd Order Method: Ralston's Method Part 1 of 2
Runge-Kutta 2nd Order Method: Ralston's Method Part 2 of 2
Runge-Kutta 2nd Order Method: Derivation Part 1 of 2
Runge-Kutta 2nd Order Method: Derivation Part 2 of 2
Runge-Kutta 4th Order Method
Runge Kutta 4th Order Method: Formulas
Runge Kutta 4th Order Method: Example: Part 1 of 2
Runge Kutta 4th Order Method: Example: Part 2 of 2
Richardson Extrapolation
Richardsons Extrapolation of Trapezoidal Rule: Theory
Richardsons Extrapolation of Trapezoidal Rule: Example

©2017 - IQMates — all rights reserved | About Us | Terms of Service