List of numerical analysis topics

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This is a list of numerical analysis topics, by Wikipedia page.


[edit] General

[edit] Error

Error analysis

[edit] Elementary and special functions

[edit] Numerical linear algebra

Numerical linear algebra — study of numerical algorithms for linear algebra problems

[edit] Basic concepts

[edit] Solving systems of linear equations

[edit] Eigenvalue algorithms

Eigenvalue algorithm — a numerical algorithm for locating the eigenvalues of a matrix

[edit] Other concepts and algorithms

[edit] Interpolation

[edit] Polynomial interpolation

Polynomial interpolation — interpolation by polynomials

[edit] Spline interpolation

Spline interpolation — interpolation by piecewise polynomials

[edit] Trigonometric interpolation

Trigonometric interpolation — interpolation by trigonometric polynomials

[edit] Other interpolants

[edit] Approximation theory

Approximation theory

[edit] Miscellaneous

[edit] Finding roots of nonlinear equations

See #Numerical linear algebra for linear equations

Root-finding algorithm — algorithms for solving the equation f(x) = 0

[edit] Optimization

Optimization (mathematics) — algorithm for finding maxima or minima of a given function

[edit] Basic concepts

[edit] Linear programming

Linear programming (also treats integer programming) — objective function and constraints are linear

[edit] Nonlinear programming

Nonlinear programming — the most general optimization problem in the usual framework

[edit] Uncertainty and randomness

[edit] Theoretical aspects

[edit] Applications

[edit] Miscellaneous

[edit] Numerical quadrature (integration)

Numerical integration — the numerical evaluation of an integral

[edit] Numerical ordinary differential equations

Numerical ordinary differential equations — the numerical solution of ordinary differential equations (ODEs)

[edit] Numerical partial differential equations

Numerical partial differential equations — the numerical solution of partial differential equations (PDEs)

[edit] Finite difference methods

Finite difference method — based on approximating differential operators with difference operators

[edit] Finite element methods

Finite element method — based on a discretization of the space of solutions

[edit] Other methods

[edit] Techniques for improving these methods

[edit] Miscellaneous

[edit] Monte Carlo method

[edit] Applications

[edit] Software

For software, see the list of numerical analysis software.

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