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Probabilistic and Robust Engineering Design

Probabilistic and Robust Engineering Design is a research topic within Statistics, Probability and Uncertainty. Science Explorer counts 47k research works in it since 1950. 22.6% of them reached the world's top 10% most cited for their field and year.

This cluster of papers focuses on uncertainty quantification and sensitivity analysis in complex mathematical and computational models. It explores methods such as polynomial chaos, Monte Carlo simulation, and sparse grids to assess and manage uncertainties in various engineering and scientific applications. The research also delves into topics like global sensitivity indices, reliability analysis, stochastic differential equations, and probabilistic design optimization.

  • Uncertainty Quantification
  • Sensitivity Analysis
  • Polynomial Chaos
  • Monte Carlo Simulation
  • Reliability Analysis
  • Stochastic Differential Equations
  • Global Sensitivity Indices
  • Sparse Grids
  • Latin Hypercube Sampling
  • Probabilistic Design Optimization
Research works
47k
fractional, since 1950
In the world top 10%
11k
per year above
Top-10% rate
22.6%
share of its works in the world top 10%
Growth, 2013–17 → 2018–22
+16%
the tick is no change

Which countries lead Probabilistic and Robust Engineering Design research?

By volume, China and the United States publish the most (2.1k and 1.3k works in 2022–2025).

By volume, 2022–2025

  1. 1 China 2.1k works
  2. 2 United States 1.3k works
  3. 3 Germany 439 works
  4. 4 India 391 works
  5. 5 France 309 works
  6. 6 United Kingdom 291 works
  7. 7 Italy 248 works
  8. 8 Iran 175 works
  9. 9 Japan 155 works
  10. 10 Saudi Arabia 154 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: 37.5%United States: 22.9%Germany: 8.0%India: 7.2%6 others listed: 24.4%38%largest
China2,050 · 37.5%United States1,252 · 22.9%Germany439 · 8.0%India391 · 7.2%6 others listed1,332 · 24.4%

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

Which institutions lead Probabilistic and Robust Engineering Design research?

By volume in 2022–2025, Northwestern Polytechnical University publishes the most Probabilistic and Robust Engineering Design research, followed by Beihang University and Dalian University of Technology.

By volume, 2022–2025

  1. 1 Northwestern Polytechnical University China 132 works
  2. 2 Beihang University China 82 works
  3. 3 Dalian University of Technology China 55 works
  4. 4 Tongji University China 54 works
  5. 5 Nanjing University of Aeronautics and Astronautics China 41 works
  6. 6 Xi'an Jiaotong University China 40 works
  7. 7 Technical University of Munich Germany 38 works
  8. 8 Georgia Institute of Technology United States 38 works
  9. 9 Zhejiang University China 34 works
  10. 10 Shanghai Jiao Tong University China 33 works

Who are the leading researchers in Probabilistic and Robust Engineering Design?

The most-cited researchers publishing on Probabilistic and Robust Engineering Design include Kalyanmoy Deb and George Em Karniadakis.

  1. 1 Kalyanmoy Deb 6.7k citations
  2. 2 George Em Karniadakis 6.3k citations

Ranked by citations received across their whole record, among researchers with at least three works on this topic.

Where is Probabilistic and Robust Engineering Design research done?

The largest centres of Probabilistic and Robust Engineering Design research in 2022–2025 are Beijing (China), Xi'an (China), Shanghai (China) and Nanjing (China).

Largest cities, 2022–2025

  1. 1 Beijing China 346 works
  2. 2 Xi'an China 238 works
  3. 3 Shanghai China 168 works
  4. 4 Nanjing China 133 works
  5. 5 Changsha China 96 works
  6. 6 Paris France 88 works
  7. 7 Wuhan China 76 works
  8. 8 Chengdu China 76 works
  9. 9 Dalian China 69 works
  10. 10 Tehran Iran 66 works
See Probabilistic and Robust Engineering Design on the map

Where is the best place to study Probabilistic and Robust Engineering Design?

Among universities, judged by research, Leibniz University Hannover, Northwestern Polytechnical University and Beihang 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%60%mean 40.02%fractional works in this node (log) →share in the world top 10% →Leibniz University Hannover: 27, 36.2%Northwestern Polytechnical University: 132, 35.2%Beihang University: 82, 34.6%Hebei University of Technology: 18, 52.1%Imam Mohammad ibn Saud Islamic University: 11, 47.1%Hunan University: 31, 42.9%TU Dortmund University: 18, 44.4%Princess Nourah bint Abdulrahman University: 17, 29.4%Tongji University: 54, 44.9%Dalian University of Technology: 55, 33.4%Hebei University of …Leibniz University H…Northwestern Polytec…Beihang 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
1Leibniz University Hannover Germany 72.436.2%13.0×27 +215.8%
2Northwestern Polytechnical University China 71.735.2%15.8×132 +32.9%
3Beihang University China 68.534.6%10.2×82 +45.8%
4Hebei University of Technology China 66.552.1%6.1×18 +320.4%
5Imam Mohammad ibn Saud Islamic University Saudi Arabia 63.447.1%8.1×11
6Hunan University China 62.242.9%6.0×31 +139.7%
7TU Dortmund University Germany 62.244.4%9.3×18 +46.5%
8Princess Nourah bint Abdulrahman University Saudi Arabia 61.329.4%9.2×17
9Tongji University China 60.444.9%5.8×54 +34.0%
10Dalian University of Technology China 59.733.4%7.9×55 +48.9%

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 Probabilistic and Robust Engineering Design research growing?

Output in 2018–2022 was 16% higher than in 2013–2017, peaking in 2023. The fastest-growing topics are Probabilistic and Robust Engineering Design.

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.