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Subfield · Mathematics

Computational Mathematics research

Computational Mathematics is a subfield of Mathematics. Science Explorer counts 7.4k research works in it since 1951. 17.8% of them reached the world's top 10% most cited for their field and year.

In short: area of mathematics.

Research works
7.4k
fractional, since 1951
In the world top 10%
1.3k
per year above
Top-10% rate
17.8%
share of its works in the world top 10%
Topics
1
Growth, 2013–17 → 2018–22
+53%
the tick is no change

Which countries lead Computational Mathematics research?

On research quality in 2022–2025, China and the United States rank highest in Computational Mathematics. By volume, China and the United States publish the most (718 and 374 works in 2022–2025).

By research quality, 2022–2025

  1. 1 China · #2 all time 16.6% top 10% · 718 works
  2. 2 United States · #1 all time 16.1% top 10% · 374 works

The track on each row is that row’s top-10% rate. The ranking itself is the composite score, which the rate is only one part of.

Of 2 countries ranked in Computational Mathematics. Composite of field-normalised excellence (50%), output (30%) and citations (20%); the bracket is the all-time rank.

All countries ranked in Computational Mathematics

By volume, 2022–2025

  1. 1 China 718 works
  2. 2 United States 374 works
  3. 3 Germany 79 works
  4. 4 Japan 74 works
  5. 5 France 69 works
  6. 6 India 60 works
  7. 7 Italy 58 works
  8. 8 United Kingdom 54 works
  9. 9 Canada 42 works
  10. 10 Russia 34 works

How concentrated that is

The same countries as shares of everything the list above accounts for. A node where two countries do two thirds of the work and one spread evenly across twelve read alike as a ranking and not at all alike here.

China: 46.0%United States: 23.9%Germany: 5.0%Japan: 4.7%6 others listed: 20.3%46%largest
China718 · 46.0%United States374 · 23.9%Germany79 · 5.0%Japan74 · 4.7%6 others listed318 · 20.3%

Shares of the rows listed above, not of the whole node.

Which institutions lead Computational Mathematics research?

By volume in 2022–2025, University of Electronic Science and Technology of China publishes the most Computational Mathematics research, followed by Southwest University and Fudan University.

By volume, 2022–2025

  1. 1 University of Electronic Science and Technology of China China 21 works
  2. 2 Southwest University China 18 works
  3. 3 Fudan University China 15 works
  4. 4 Shanghai University China 15 works
  5. 5 Xi'an Jiaotong University China 14 works
  6. 6 KU Leuven Belgium 13 works
  7. 7 University of Trento Italy 12 works
  8. 8 National University of Defense Technology China 11 works
  9. 9 Tsinghua University China 11 works
  10. 10 Guangxi University China 10 works

Who are the leading researchers in Computational Mathematics?

Among the most productive authors in Computational Mathematics, M. Hashem Pesaran, Simon Baron‐Cohen and Richard E. Petty rank highest on the composite score.

  1. 1 M. Hashem Pesaran United States · #64 worldwide 9.1k citations · 161 works
  2. 2 Simon Baron‐Cohen United Kingdom · #719 worldwide 3.8k citations · 212 works
  3. 3 Richard E. Petty United States · #851 worldwide 4.2k citations · 116 works
  4. 4 Chunhua Shen Australia · #859 worldwide 5.9k citations · 217 works
  5. 5 Max Welling Netherlands · #893 worldwide 3.4k citations · 135 works
  6. 6 Thomas Brox Germany · #1,178 worldwide 3.3k citations · 106 works
  7. 7 Susan Dumais United States · #1,245 worldwide 4.8k citations · 85 works
  8. 8 Geoffrey E. Hinton Canada · #1,487 worldwide 22k citations · 79 works
  9. 9 Jan Kautz United Kingdom · #1,558 worldwide 3.2k citations · 138 works
  10. 10 George Karypis United States · #1,667 worldwide 2.7k citations · 152 works

Re-ranked on the composite score from the 2,349 highest-output authors in Computational Mathematics. Identities come from OpenAlex author disambiguation, which occasionally merges or splits people.

Top 100 Computational Mathematics researchers

Where is Computational Mathematics research done?

The largest centres of Computational Mathematics research in 2022–2025 are Beijing (China), Shanghai (China), Xi'an (China) and Guangzhou (China).

Largest cities, 2022–2025

  1. 1 Beijing China 94 works
  2. 2 Shanghai China 64 works
  3. 3 Xi'an China 42 works
  4. 4 Guangzhou China 40 works
  5. 5 Chengdu China 40 works
  6. 6 Chongqing China 36 works
  7. 7 Tokyo Japan 30 works
  8. 8 Changsha China 29 works
  9. 9 Nanjing China 24 works
  10. 10 Hangzhou China 24 works
See Computational Mathematics on the map

Computational Mathematics research by country

The best places for Computational Mathematics research inside each country, with that country's researchers and world standing.

Where is the best place to study Computational Mathematics?

Among universities, judged by research, University of Electronic Science and Technology of China, Southwest University and Fudan University score highest, combining excellence, specialisation, size, growth and international reach. Research strength is one signal when choosing where to study; it does not measure teaching.

0%20%40%mean 24.06%fractional works in this node (log) →share in the world top 10% →University of Electronic Science and Technology of China: 21, 27.8%Southwest University: 18, 30.8%Fudan University: 15, 33.0%Shanghai University: 15, 13.1%Hunan University: 10, 23.6%University of Hong Kong: 10, 26.9%Guangdong University of Technology: 8, 19.1%Xi'an Jiaotong University: 14, 21.2%National University of Defense Technology: 11, 15.8%Tsinghua University: 11, 29.3%Fudan UniversitySouthwest UniversityUniversity of Electr…Shanghai University
above the meannear itbelow it

One dot per university in the table below. The upper left is the interesting corner: small places doing unusually strong work.

#UniversityScoreTop 10%SpecialisationWorksGrowth
1University of Electronic Science and Technology of China China 87.127.8%10.1×21 +290.5%
2Southwest University China 77.230.8%17.9×18
3Fudan University China 77.233.0%7.3×15 +286.9%
4Shanghai University China 65.513.1%10.8×15 +831.8%
5Hunan University China 60.223.6%7.6×10 +418.3%
6University of Hong Kong Hong Kong 59.126.9%6.4×10
7Guangdong University of Technology China 53.319.1%8.1×8 +283.3%
8Xi'an Jiaotong University China 49.721.2%4.7×14 +93.0%
9National University of Defense Technology China 48.515.8%7.6×11 +127.0%
10Tsinghua University China 48.129.3%3.0×11 +114.4%

Universities only. Score blends excellence (30%), specialisation (25%), size (20%), growth (15%) and international reach (10%), 2015–2022; growth compares 2010–14 with 2015–19.

Is Computational Mathematics research growing?

Output in 2018–2022 was 53% higher than in 2013–2017, peaking in 2025. The fastest-growing topics are Tensor decomposition and applications.

19801990200020102020
grewheldshrank

The same series as a ribbon — one cell per year, darker for more. The line above answers how much; this answers when.

Which topics inside it are moving

Growth and decline on one axis around a shared zero. Two lists side by side hide the thing that matters: whether the growth dwarfs the decline, or the other way round.

What does Computational Mathematics include?