Category:Numerical analysis

A

• Approximation theory‎ (3 C, 34 P)
• Numerical artifacts‎ (1 C, 8 P)

C

• Computer arithmetic algorithms‎ (3 C, 21 P)

F

• FFT algorithms‎ (18 P)
• Finite differences‎ (33 P)
• First order methods‎ (2 C, 9 P)

I

• Numerical integration (quadrature)‎ (27 P)
• Interpolation‎ (3 C, 58 P)
• Iterative methods‎ (3 C, 14 P)

M

• Mathematical optimization‎ (14 C, 127 P)
• Mesh generation‎ (3 C, 16 P)
• Monte Carlo methods‎ (7 C, 66 P)

N

• Numerical analysis journals‎ (1 C, 7 P)
• Numerical analysts‎ (1 C, 147 P)
• Numerical differential equations‎ (4 C, 164 P)
• Numerical linear algebra‎ (7 C, 123 P)
• Numerical software‎ (8 C, 119 P)

P

• Polynomials‎ (10 C, 219 P)

R

• Regression analysis‎ (10 C, 95 P)
• Root-finding algorithms‎ (1 C, 37 P)

S

• Series acceleration methods‎ (8 P)
• Structural analysis‎ (1 C, 102 P)

W

• Wavelets‎ (3 C, 52 P)

• Numerical analysis

*

• List of numerical analysis topics

0–9

• 2Sum

A

• Abramowitz and Stegun
• Adaptive step size
• Adjoint state method
• Affine arithmetic
• The Algebraic Eigenvalue Problem
• All-serial CORDIC
• Anderson acceleration
• Applied element method
• Approximation
• Approximation error
• Approximation theory
• Artificial precision

B

• Basis function
• Bernstein polynomial
• Bernstein's constant
• Bi-directional delay line
• Bidomain model
• Blossom (functional)
• Boole's rule
• Boundary knot method
• Boundary particle method
• Branching CORDIC
• Bueno-Orovio–Cherry–Fenton model
• Butcher group

C

• Calderón projector
• Catastrophic cancellation
• Cell-based models
• Chebyshev nodes
• Clenshaw algorithm
• Closest point method
• Comparison of linear algebra libraries
• Compensated CORDIC
• Composite methods for structural dynamics
• Computational statistics
• Computer-assisted proof
• Condition number
• Continuous wavelet
• Coopmans approximation
• Coordinate Rotation Digital Computer
• CORDIC
• Curse of dimensionality

D

• DCORDIC
• De Boor's algorithm
• De Casteljau's algorithm
• Difference quotient
• Differential CORDIC
• Differential-algebraic system of equations
• Digital Library of Mathematical Functions
• Discrete calculus
• Discrete Fourier transform
• Discrete wavelet transform
• Discretization
• Discretization error
• Dormand–Prince method
• Dynamic relaxation

E

• Equioscillation theorem
• Error analysis (mathematics)
• Estrin's scheme
• Explicit algebraic stress model
• Exponential integrator

F

• Factor combining
• False precision
• Fast multipole method
• FEE method
• Finite difference
• Finite Legendre transform
• Finite volume method
• Fixed-point computation
• Forward problem of electrocardiology

G

• Gal's accurate tables
• Galerkin method
• Generalized Gauss–Newton method
• Generalized-strain mesh-free formulation
• GetFEM++
• Gradient discretisation method
• Guard digit

H

• Peter Henrici Prize
• Hermes Project
• Horner's method
• Hundred-dollar, Hundred-digit Challenge problems
• Hybrid CORDIC

I

• Identifiability analysis
• Integrable algorithm
• Interval arithmetic
• Interval contractor
• Interval propagation
• INTLAB
• Isotonic regression
• Iterative method
• Iterative rational Krylov algorithm

J

• Jenkins–Traub algorithm

K

• Kahan summation algorithm
• Kantorovich theorem
• Karlsruhe Accurate Arithmetic
• Kempner series
• Kulisch arithmetic

L

• Lady Windermere's Fan (mathematics)
• Lanczos approximation
• Least-squares spectral analysis
• Lee's L
• Level set (data structures)
• Levinson recursion
• Lie group integrator
• Linear algebra
• Linear approximation
• Linear multistep method
• List of finite element software packages
• Local convergence
• Local linearization method
• Low-discrepancy sequence

M

• Material point method
• Matrix analysis
• Merged CORDIC
• Mesh generation
• Meshfree methods
• Method of fundamental solutions
• Method of dominant balance
• Miller's recurrence algorithm
• Minimax approximation algorithm
• Minimum polynomial extrapolation
• Model order reduction
• Modulus of smoothness
• Monte Carlo method
• Movable cellular automaton
• Multi-time-step integration
• Multigrid method
• Multilevel fast multipole method
• Multilevel Monte Carlo method
• Multiphysics simulation

N

• Natural element method
• Newton fractal
• Newton–Krylov method
• Nine-point stencil
• NIST Handbook of Mathematical Functions
• Nonstandard finite difference scheme
• Numeric precision in Microsoft Excel
• Numerical continuation
• Numerical differentiation
• Numerical error
• Numerical integration
• Numerical method
• Numerical methods in fluid mechanics
• Numerical model of the Solar System
• Numerical smoothing and differentiation
• Numerical stability
• Nyström method

O

• List of operator splitting topics
• Order of accuracy
• Order of approximation
• Overlap–add method
• Overlap–save method

P

• Padé approximant
• Padé table
• Pairwise summation
• Parareal
• Partial differential algebraic equation
• Particle method
• Peano kernel theorem
• Piecewise linear continuation
• Pipelined CORDIC
• Predictor–corrector method
• Principles of grid generation
• Probability box
• Propagation of uncertainty
• Proper generalized decomposition
• Pseudo-multiplication
• Pseudo-spectral method
• Bellman pseudospectral method
• Chebyshev pseudospectral method
• Flat pseudospectral method
• Legendre pseudospectral method
• Pseudospectral knotting method
• Ross–Fahroo lemma
• Ross–Fahroo pseudospectral method
• Ross' π lemma
• Pythagorean addition

Q

• Quantification of margins and uncertainties

R

• Radial basis function
• Radial basis function interpolation
• Rate of convergence
• Redundant CORDIC
• Regge calculus
• Regularized meshless method
• Relative change
• Remez algorithm
• Mauricio Resende
• Residual (numerical analysis)
• Riemann solver
• Rounding Errors in Algebraic Processes
• Round-off error
• Runge–Kutta methods
• Runge–Kutta–Fehlberg method

S

• Scale co-occurrence matrix
• Scarborough criterion
• Semi-infinite programming
• Series acceleration
• Sigma approximation