A numerical method is the same as an algorithm, the steps required to solve a numerical problem. Algorithms became very important as computers were increasingly used to solve problems. It was no longer necessary to solve complex mathematical problems with a single closed form equation. See link on algorithm. According to Wikipedia: Numerical analysis is the study of algorithms for the problems of continuous mathematics (as distinguished from discrete mathematics). See link on numerical analysis. An expanded definition offered by K.E. Atkinson is: Numerical analysis is the area of mathematics and computer science that creates, analyzes, and implements algorithms for solving numerically the problems of continuous mathematics. Such problems originate generally from real-world applications of algebra, geometry and calculus, and they involve variables which vary continuously; these problems occur throughout the natural sciences,Social Sciences, engineering, medicine, and business. Numerical analysis courses typically are offered as part of Industrial engineering (Operations research), applied mathematics, computer science. Simulation, operations research and computer science are very interrelated
Annie Cuyt has written: 'Nonlinear methods in numerical analysis' -- subject(s): Numerical analysis
Numerical Analysis - an area of mathematics that uses various numerical methods to find numerical approximations to mathematical problems, while also analysing those methods to see if there is any way to reduce the numerical error involved in using them, thus resulting in more reliable numerical methods that give more accurate approximations than previously.
Rainer Kress has written: 'Numerical analysis' -- subject(s): Numerical analysis 'Mathematical Methods of Plasmaphysics'
Andrew Donald Booth has written: 'Numerical methods' -- subject(s): Numerical calculations, Numerical analysis
Short answer; there isn't any.Long/picky answer; numerical methods tend to look at, surprisingly, numerical methods on solving certain problems such as finding answers to equations (finding fixed points), calculating errors and really just doing calculations using these methods.Numerical analysis on the other hand, does all of this but also looks deeper into why error occurs from these methods and looks into ways of adjusting these methods or developing better ones that reduce the errors given so as to obtain much more accurate approximations to the solution you are trying to find for a given problem.
Louis G. Kelly has written: 'Handbook of numerical methods and applications' -- subject(s): Numerical analysis
R. L. Johnston has written: 'Numerical methods' -- subject(s): Computer programs, Numerical analysis 'Lie of the Tithe'
Mariia Pavlovna Cherkasova has written: 'Collected problems in numerical methods' -- subject(s): Numerical analysis, Problems, exercises
Irwin Remson has written: 'Numerical methods in subsurface hydrology, with an introduction to the finite element method' -- subject(s): Groundwater, Numerical analysis
K. A. Redish has written: 'An introduction to computational methods' -- subject(s): Numerical analysis
Edward R. Champion has written: 'Numerical methods for engineering applications' -- subject(s): Data processing, Engineering mathematics, Numerical analysis
Dermot A. Keane has written: 'Numerical methods in option valuation problems' -- subject(s): Options (Finance), Stochastic processes, Numerical analysis, Investments