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List of numerical analysis topics : ウィキペディア英語版
List of numerical analysis topics
This is a list of numerical analysis topics.
==General==

*Iterative method
*Rate of convergence — the speed at which a convergent sequence approaches its limit
*
*Order of accuracy — rate at which numerical solution of differential equation converges to exact solution
*Series acceleration — methods to accelerate the speed of convergence of a series
*
*Aitken's delta-squared process — most useful for linearly converging sequences
*
*Minimum polynomial extrapolation — for vector sequences
*
*Richardson extrapolation
*
*Shanks transformation — similar to Aitken's delta-squared process, but applied to the partial sums
*
*Van Wijngaarden transformation — for accelerating the convergence of an alternating series
*Abramowitz and Stegun — book containing formulas and tables of many special functions
*
*Digital Library of Mathematical Functions — successor of book by Abramowitz and Stegun
*Curse of dimensionality
*Local convergence and global convergence — whether you need a good initial guess to get convergence
*Superconvergence
*Discretization
*Difference quotient
*Complexity:
*
*Computational complexity of mathematical operations
*
*Smoothed analysis — measuring the expected performance of algorithms under slight random perturbations of worst-case inputs
*Symbolic-numeric computation — combination of symbolic and numeric methods
*Cultural and historical aspects:
*
*History of numerical solution of differential equations using computers
*
*Hundred-dollar, Hundred-digit Challenge problems — list of ten problems proposed by Nick Trefethen in 2002
*
*International Workshops on Lattice QCD and Numerical Analysis
*
*Timeline of numerical analysis after 1945
*General classes of methods:
*
*Collocation method — discretizes a continuous equation by requiring it only to hold at certain points
*
*Level set method
*
*
*Level set (data structures) — data structures for representing level sets
*
*Sinc numerical methods — methods based on the sinc function, sinc(''x'') = sin(''x'') / ''x''
*
*ABS methods

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