Numerical Analysis
Interactive Numerical Analysis
Interactive visualizations and step-by-step solvers for numerical methods.
Section 1: Foundations
Math Preliminaries
IVT, EVT, Rolle's/MVT, Taylor's Theorem
Error Analysis
Floating-point, errors, convergence rates
Section 2: Equations & Systems
Nonlinear Equations
Bisection, Fixed-Point, Newton, Secant
Linear Systems
Gauss, LU, Jacobi, Gauss-Seidel
Section 3: Interpolation & Calculus
Interpolation
Lagrange, Newton Divided Differences, Splines
Differentiation & Integration
Difference formulas, Trapezoidal, Simpson's
Section 4: ODEs & Eigenvalues
ODEs
Euler, Heun, Runge-Kutta (RK4)
Eigenvalues
Power, Inverse Power, QR Algorithm
Practice Problems
Compare Methods