numerical analysis

Also known as numerical computation, numerical mathematics, numerical modelling, computer-assisted analysis

study of algorithms that use numerical approximation for the problems of mathematical analysis

AI overview

Numerical analysis is the study of methods and algorithms that solve mathematical problems by using approximate numbers rather than exact ones. It matters because many real-world mathematical problems are too complex to solve exactly, so these approximation techniques allow scientists, engineers, and others to get practical answers quickly.

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Research

527,918 papers

Numerical analysis of grasshopper escapement.Physical review. E · 2021Ziemkiewicz DDOI: 10.1103/PhysRevE.103.062208
Numerical Analysis of the Freezing Behavior of Saturated Cementitious Materials with Different Amounts of Chloride.Materials (Basel, Switzerland) · 2023Zadran S, Ožbolt J, Gambarelli SDOI: 10.3390/ma16196594
Experimental and Numerical Analysis of Steel-Polypropylene Hybrid Fibre Reinforced Concrete Deep Beams.Polymers · 2023Khaleel Ibrahim S, Abbas Hadi N, Movahedi Rad MDOI: 10.3390/polym15102340
Pain intensity on the first day after surgery: a prospective cohort study comparing 179 surgical procedures.Anesthesiology · 2013Gerbershagen HJ, Aduckathil S, van Wijck AJ et al.DOI: 10.1097/ALN.0b013e31828866b3
Experimental and numerical analysis of electroactive characteristics of scleral tissue.Acta biomaterialia · 2022Mehr JA, Hatami-Marbini HDOI: 10.1016/j.actbio.2022.01.017
Numerical analysis of MHD axisymmetric rotating Bodewadt rheology under viscous dissipation and ohmic heating effects.Scientific reports · 2022Awais M, Bibi M, Ali A et al.DOI: 10.1038/s41598-022-13676-2
Non-compartmental data analysis using SimBiology and MATLAB.Translational and clinical pharmacology · 2019Park JS, Kim JRDOI: 10.12793/tcp.2019.27.3.89
Numerical analysis of two-filter method for continuous measurement of airborne Rn-222.Journal of radiological protection : official journal of the Society for Radiological Protection · 2021Wang YDOI: 10.1088/1361-6498/abe275

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Wikidata facts

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Stack Exchange tag: mathoverflow.net/tags/na.numerical-analysis
Commons category: Numerical analysis
ACM Classification Code (2012): 10003715

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Article

Babylonian clay tablet YBC 7289 (c. 1800–1600 BCE) with annotations. The approximation of the square root of 2 is four sexagesimal figures, which is about six decimal figures. 1 + 24/60 + 51/60 + 10/60 = 1.41421296... Numerical analysis is the study of algorithms for the problems of continuous mathematics. These algorithms involve real or complex variables (in contrast to discrete mathematics), and typically use numerical approximation in addition to symbolic manipulation.

Numerical analysis finds application in all fields of engineering and the physical sciences, and in the 21st century also the life and social sciences like economics, medicine, business and even the arts. Current growth in computing power has enabled the use of more complex numerical analysis, providing detailed and realistic mathematical models in science and engineering. Examples of numerical analysis include: ordinary differential equations as found in celestial mechanics (predicting the motions of planets, stars and galaxies), numerical linear algebra in data analysis, and stochastic differential equations and Markov chains for simulating living cells in medicine and biology.