Numerical Methods Mastery

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Error Analysis

4 lessons

Types of Error 18m Measuring Error 15m Floating Point 18m Module 1 Practice 18m

Root Finding

5 lessons

Bisection Method 20m Newton-Raphson Method 22m Secant Method 18m Fixed Point Iteration 18m Module 2 Practice 18m

Interpolation

5 lessons

Polynomial Interpolation 20m Lagrange Interpolation 22m Newton's Divided Differences 20m Spline Interpolation 18m Module 3 Practice 18m

Numerical Integration

4 lessons

Trapezoidal Rule 20m Simpson's Rule 20m Gaussian Quadrature 18m Module 4 Practice 18m

ODEs: Initial Value Problems

5 lessons

Euler's Method 20m Runge-Kutta Methods 25m Stability 18m Systems of ODEs 18m Module 5 Practice 18m

Linear Systems

5 lessons

Gaussian Elimination 22m LU Decomposition 20m Iterative Methods 22m Conditioning 18m Module 6 Practice 18m

Numerical Methods Mastery/Error Analysis/Types of Error

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Types of Error

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Numerical Errors

Why computers aren't perfect

Error Types

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