数值分析

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

数学领域的一种研究方法

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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Vinony's link graph records 1,401 inbound references to 数值分析, and connects out to division algorithm, algorithm and optics.

It is catalogued under topics including Computational science, Mathematical physics and Numerical analysis.

Vinony links it to 95 Wikipedia language editions.

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

Instance of: branch of mathematics
Part of: applied mathematics
Has part: mathematical optimization

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Stack Exchange tag: mathoverflow.net/tags/na.numerical-analysis
Commons category: Numerical analysis
topic's main category: Category:Numerical analysis
described by source: Armenian Soviet Encyclopedia
on focus list of Wikimedia project: Wikipedia:Vital articles/Level/4
ACM Classification Code (2012): 10003715

Sources (7)

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Article · 中文

数值分析（英語：Numerical analysis），是指在数学分析问题中，对使用数值近似算法的研究。巴比伦泥板YBC 7289是关于数值分析的最早数学作品之一，它给出了在六十进制下的一个数值逼近，是一個邊長為1的正方形的對角線，在西元前1800年巴比倫人也已在巴比倫泥板上計算勾股數，即直角三角形的三邊長比。数值分析延續了實務上數學計算的傳統。巴比倫人利用巴比伦泥板計算的近似值，而不是精確值。在許多實務的問題中，精確值往往無法求得，或是無法用有理數表示（如）。数值分析的目的不在求出正確的答案，而是在其誤差在一合理範圍的條件下找到近似解。在所有工程及科學的領域中都會用到数值分析。像天體力學研究中會用到常微分方程，最優化會用在资产组合管理中，數值線性代數是資料分析中重要的一部份，而隨機微分方程及馬可夫鏈是在醫藥或生物學中生物細胞模擬的基礎。在電腦發明之前，数值分析主要是依靠大型的函數表及人工的內插法，但在二十世紀中被電腦的計算所取代。不過電腦的內插演算法仍然是数值分析軟體中重要的一部份。

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