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Gauss's quadrature formula, computing integrals from functions with singularities, computing multiple integrals by the Monte Carlo method, solving ODE numerically, least-squares method, QR algorithm, Jacobi eigenvalue algorithm, solving boundary value problems
Matrices multiplication, Newton's / Lagrange's interpolation, Gauss's / Seidel's methods for solving a system of linear differential equations, numerical differentiation, spline interpolation, Fourier transform