Numerical Methods and Algorithms
Numerical Methods and Algorithms is a research topic within Computational Theory and Mathematics. Science Explorer counts 18k research works in it since 1950. 12.4% of them reached the world's top 10% most cited for their field and year.
This cluster of papers focuses on the theory, implementation, and optimization of floating-point arithmetic for scientific computation. It covers topics such as interval analysis, high-precision computation, hardware implementation on FPGAs, numerical verification methods, decimal floating-point arithmetic, accuracy optimization, Taylor models, and handling interval uncertainty.
- Floating-Point Arithmetic
- Interval Analysis
- High-Precision Computation
- Hardware Implementation
- Numerical Verification Methods
- FPGA Acceleration
- Decimal Floating-Point
- Accuracy-Guaranteed Bit-Width Optimization
- Taylor Models
- Interval Uncertainty
- Research works
- 18k fractional, since 1950
- In the world top 10%
- 2.2k per year above
- Top-10% rate
- 12.4% share of its works in the world top 10%
- Growth, 2013–17 → 2018–22
- -13% the tick is no change
Which countries lead Numerical Methods and Algorithms research?
By volume, the United States and India publish the most (290 and 270 works in 2022–2025).
By volume, 2022–2025
- 1 United States 290 works
- 2 India 270 works
- 3 China 266 works
- 4 Germany 90 works
- 5 France 84 works
- 6 Russia 65 works
- 7 Japan 64 works
- 8 Italy 54 works
- 9 United Kingdom 48 works
- 10 Canada 37 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 Numerical Methods and Algorithms research?
By volume in 2022–2025, Indian Institute of Technology Kharagpur publishes the most Numerical Methods and Algorithms research, followed by National University of Defense Technology and Amrita Vishwa Vidyapeetham.
By volume, 2022–2025
- 1 Indian Institute of Technology KharagpurIndia 17 works
- 2 National University of Defense TechnologyChina 16 works
- 3 Amrita Vishwa VidyapeethamIndia 12 works
- 4 Tsinghua UniversityChina 9 works
- 5 Centre National de la Recherche ScientifiqueFrance 9 works
- 6 Charles UniversityCzechia 9 works
- 7 The University of Texas at El PasoUnited States 9 works
- 8 Vellore Institute of Technology UniversityIndia 8 works
- 9 University of Electronic Science and Technology of ChinaChina 8 works
- 10 SRM Institute of Science and TechnologyIndia 6 works
Who are the leading researchers in Numerical Methods and Algorithms?
The most-cited researchers publishing on Numerical Methods and Algorithms include Saul A. Teukolsky, William H. Press and Luca Benini.
- 1 Saul A. Teukolsky United States 8.4k citations
- 2 William H. Press United States 7.7k citations
- 3 Luca Benini Italy 4.6k citations
Ranked by citations received across their whole record, among researchers with at least three works on this topic.
Where is Numerical Methods and Algorithms research done?
The largest centres of Numerical Methods and Algorithms research in 2022–2025 are Beijing (China), Moscow (Russia), Bengaluru (India) and Paris (France). Among places with at least 20 works in it, it is an unusually large share of all research in Bengaluru.
Largest cities, 2022–2025
Where it is the local speciality
- BengaluruIN · 24.3 works4.1×
Location quotient: how much more of its research is in Numerical Methods and Algorithms than the world average.
Where is the best place to study Numerical Methods and Algorithms?
Among universities, judged by research, Amrita Vishwa Vidyapeetham, Charles University and National University of Defense 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 | Amrita Vishwa VidyapeethamIndia | 71.2 | 11.1% | 12.4× | 12 | +160.9% |
| 2 | Charles UniversityCzechia | 68.1 | 15.8% | 11.6× | 9 | +30.3% |
| 3 | National University of Defense TechnologyChina | 52.6 | 5.3% | 11.6× | 16 | -34.1% |
| 4 | Indian Institute of Technology KharagpurIndia | 51.3 | 0.0% | 19.6× | 17 | +23.2% |
| 5 | Tsinghua UniversityChina | 33.0 | 14.2% | 2.8× | 9 | -36.2% |
| 6 | The University of Texas at El PasoUnited States | 31.6 | 0.0% | 33.7× | 8 | +7.7% |
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 Numerical Methods and Algorithms research growing?
Output in 2018–2022 was 13% lower than in 2013–2017, peaking in 2002.
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.