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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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