Advanced Numerical Analysis Techniques
Advanced Numerical Analysis Techniques is a research topic within Computational Mechanics. Science Explorer counts 42k research works in it since 1950. 14.0% of them reached the world's top 10% most cited for their field and year.
This cluster of papers focuses on the application of isogeometric analysis in computational engineering, particularly in the areas of structural analysis, fluid-structure interaction, shape optimization, and boundary element methods. The use of NURBS, finite elements, CAD, mesh refinement, T-splines, and their implementation in CNC machining are central to the research.
- NURBS
- Finite Elements
- CAD
- Mesh Refinement
- T-splines
- Structural Analysis
- Fluid-structure Interaction
- Shape Optimization
- Boundary Element Method
- CNC Machining
- Research works
- 42k fractional, since 1950
- In the world top 10%
- 5.9k per year above
- Top-10% rate
- 14.0% share of its works in the world top 10%
- Growth, 2013–17 → 2018–22
- -7% the tick is no change
Which countries lead Advanced Numerical Analysis Techniques research?
By volume, China and the United States publish the most (1.5k and 599 works in 2022–2025).
By volume, 2022–2025
- 1 China 1.5k works
- 2 United States 599 works
- 3 Germany 361 works
- 4 France 222 works
- 5 India 215 works
- 6 Italy 172 works
- 7 Japan 167 works
- 8 Türkiye 161 works
- 9 Russia 159 works
- 10 United Kingdom 115 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.
Shares of the rows listed above, not of the whole node.
Which institutions lead Advanced Numerical Analysis Techniques research?
By volume in 2022–2025, Dalian University of Technology publishes the most Advanced Numerical Analysis Techniques research, followed by Shanghai Jiao Tong University and Zhejiang University.
By volume, 2022–2025
- 1 Dalian University of Technology China 52 works
- 2 Shanghai Jiao Tong University China 38 works
- 3 Zhejiang University China 37 works
- 4 Tsinghua University China 32 works
- 5 Huazhong University of Science and Technology China 30 works
- 6 Beihang University China 28 works
- 7 University of Science and Technology of China China 28 works
- 8 Technical University of Munich Germany 27 works
- 9 Harbin Institute of Technology China 26 works
- 10 Centre National de la Recherche Scientifique France 25 works
Who are the leading researchers in Advanced Numerical Analysis Techniques?
The most-cited researchers publishing on Advanced Numerical Analysis Techniques include Xiaogang Wang, Stanley Osher and Leonidas Guibas.
- 1 Xiaogang Wang 13k citations
- 2 Stanley Osher 8k citations
- 3 Leonidas Guibas 6.3k citations
- 4 Lei Zhang 5.3k citations
- 5 Takeo Kanade 4.8k citations
Ranked by citations received across their whole record, among researchers with at least three works on this topic.
Where is Advanced Numerical Analysis Techniques research done?
The largest centres of Advanced Numerical Analysis Techniques research in 2022–2025 are Beijing (China), Shanghai (China), Xi'an (China) and Wuhan (China).
Where is the best place to study Advanced Numerical Analysis Techniques?
Among universities, judged by research, Dalian University of Technology, École Polytechnique Fédérale de Lausanne and Huazhong University of Science and Technology 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.
One dot per university in the table below. The upper left is the interesting corner: small places doing unusually strong work.
| # | University | Score | Top 10% | Specialisation | Works | Growth |
|---|---|---|---|---|---|---|
| 1 | Dalian University of Technology China | 63.0 | 17.8% | 11.1× | 52 | -0.6% |
| 2 | École Polytechnique Fédérale de Lausanne Switzerland | 60.4 | 32.5% | 7.1× | 15 | +7.0% |
| 3 | Huazhong University of Science and Technology China | 51.9 | 34.8% | 3.8× | 30 | -21.8% |
| 4 | Carnegie Mellon University United States | 50.4 | 29.0% | 6.2× | 13 | +33.2% |
| 5 | Graz University of Technology Austria | 47.8 | 14.2% | 9.0× | 9 | +78.3% |
| 6 | Technical University of Munich Germany | 47.0 | 11.8% | 6.9× | 27 | +0.3% |
| 7 | Tsinghua University China | 46.8 | 27.4% | 3.2× | 32 | -10.6% |
| 8 | Indian Institute of Technology Madras India | 46.3 | 32.3% | 5.6× | 12 | -15.6% |
| 9 | Waseda University Japan | 45.3 | 33.7% | 4.8× | 8 | +46.9% |
| 10 | Technische Universität Berlin Germany | 44.5 | 9.7% | 9.3× | 16 | -12.9% |
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 Advanced Numerical Analysis Techniques research growing?
Output in 2018–2022 was 7% lower than in 2013–2017, peaking in 2011.
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.