General
- Iterative method
- Rate of convergence — the speed at which a convergent sequence approaches its limit
- 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 aspects:
- International Workshops on Lattice QCD and Numerical Analysis
- Hundred-dollar, Hundred-digit Challenge problems — list of ten problems proposed by Nick Trefethen in 2002
- 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
Read more about this topic: List Of Numerical Analysis Topics
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