This is a list of mathematics-based methods.

• Adams' method (differential equations)
• Akra–Bazzi method (asymptotic analysis)
• Bisection method (root finding)
• Brent's method (root finding)
• Condorcet method (voting systems)
• Coombs' method (voting systems)
• Copeland's method (voting systems)
• Crank–Nicolson method (numerical analysis)
• D'Hondt method (voting systems)
• D21 – Janeček method (voting system)
• Discrete element method (numerical analysis)
• Domain decomposition method (numerical analysis)
• Epidemiological methods
• Euler's forward method
• Explicit and implicit methods (numerical analysis)
• Finite difference method (numerical analysis)
• Finite element method (numerical analysis)
• Finite volume method (numerical analysis)
• Highest averages method (voting systems)
• Method of exhaustion
• Method of infinite descent (number theory)
• Information bottleneck method
• Inverse chain rule method (calculus)
• Inverse transform sampling method (probability)
• Iterative method (numerical analysis)
• Jacobi method (linear algebra)
• Largest remainder method (voting systems)
• Level-set method
• Linear combination of atomic orbitals molecular orbital method (molecular orbitals)
• Method of characteristics
• Least squares method (optimization, statistics)
• Maximum likelihood method (statistics)
• Method of complements (arithmetic)
• Method of moving frames (differential geometry)
• Method of successive substitution (number theory)
• Monte Carlo method (computational physics, simulation)
• Newton's method (numerical analysis)
• Pemdas method (order of operation)
• Perturbation methods (functional analysis, quantum theory)
• Probabilistic method (combinatorics)
• Romberg's method (numerical analysis)
• Runge–Kutta method (numerical analysis)
• Sainte-Laguë method (voting systems)
• Schulze method (voting systems)
• Sequential Monte Carlo method
• Simplex method
• Spectral method (numerical analysis)
• Variational methods (mathematical analysis, differential equations)
• Welch's method

See also

• Automatic basis function construction
• List of graphical methods
• Scientific method