Numerical analysis is that branch of applied mathematics which studies the methods and algorithms to find (approximate) numerical solutions to various mathematical problems, using a finite sequence of arithmetic and logical operations. Most solutions of numerical problems build on the theory of linear algebra.

Subcategories

There are 5 subcategories to this category.

I

• Interpolation

N

• Numerical linear algebra

O

• Optimization

R

• Root-finding algorithms

S

• Sampling techniques

Articles in category "Numerical analysis"

There are 101 articles in this category.

List of numerical analysis topics A Approximation Approximation error Approximation theory B B-spline Bernstein polynomial Boundary element method Bézier curve Bézier spline C CORDIC Cardinal spline Catmull-Rom spline Cesàro mean Chebyshev nodes Chebyshev polynomials Clenshaw algorithm Condition number Constructions of low-discrepancy sequences Continuous wavelet Cubic Hermite spline Curse of dimensionality D De Boor algorithm De Casteljau's algorithm Discrete Fourier transform Discrete Laplace operator Discrete wavelet transform Discretization error Divided differences F Finite difference Finite element analysis Finite element method Finite volume method Fourier transform

G Gaussian elimination Gaussian quadrature Gibbs sampling Givens rotation Gramian matrix H Hermite spline Hilbert matrix Horner scheme I Illustration of a low-discrepancy sequence Illustration of the shooting method Importance sampling Inverse distance weighting Irrational base discrete weighted transform Iterative method K Kochanek-Bartels spline L LAPACK LU decomposition Legendre polynomials Level set method Linear approximation Loss of significance Low-discrepancy sequence M Markov chain Monte Carlo Matrix norm Midpoint method Mimetic Minimum degree algorithm Monte Carlo method Multigrid Multigrid method N N-th root algorithm Netlib Newmark-beta method Newton-Cotes formulas

N cont. Numerical analysis Numerical differentiation Numerical integration Numerical ordinary differential equations Numerical partial differential equations Numerical stability O Orders of approximation P Polynomial Q Quasi-Monte Carlo method R Rejection sampling Richardson extrapolation Romberg's method Round-off error Runge-Kutta methods S Shooting method Sigma approximation Significant figures Simpson's rule Sparse matrix Spectral method Spline (mathematics) Strassen algorithm Superconvergence Symbolic Cholesky decomposition T Termination Trapezium rule Triangular matrix Trigonometric polynomial Truncated power function Truncation V Vandermonde matrix Verlet integration W Wavelet Wilkinson's polynomial