Please enable JavaScript.
Coggle requires JavaScript to display documents.
Numerical Analysis - Coggle Diagram
Numerical Analysis
Error Analysis
Absolute Error
Relative Error
Percentage Error
Truncation Error
Round-off Error
Root Finding Methods
Bisection Method
Bracketing method
Guaranteed convergence
Slow but reliable
False Position Method
Linear interpolation
Faster than bisection
Newton-Raphson Method
Uses derivative
Fast convergence
Requires initial guess
Secant Method
No derivative needed
Uses two initial points
Numerical Differentiation
Forward Difference
Backward Difference
Central Difference
Approximates derivatives
Interpolation Methods
Linear Interpolation
Straight-line approximation
Newton Interpolation
Divided differences
Easy to add points
Lagrange Interpolation
Polynomial approximation
Suitable for small datasets
Numerical Integration
Trapezoidal Rule
Area using trapezoids
Simpson's 1/3 Rule
High accuracy
Uses parabolas
Simpson's 3/8 Rule
Cubic approximation
Solution of Linear Equations
Gauss Elimination
Row operations
Direct method
Gauss-Jordan Method
Reduced row-echelon form
LU Decomposition
Matrix factorization
Efficient for repeated solutions