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