> For the complete documentation index, see [llms.txt](https://mandober.gitbook.io/math-debrief/llms.txt). Markdown versions of documentation pages are available by appending `.md` to page URLs; this page is available as [Markdown](https://mandober.gitbook.io/math-debrief/100-fundamentals/110-basic-concepts/mathematical-method.md).

# List of mathematics-based methods

<https://en.wikipedia.org/wiki/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