Advanced Mathematical Modeling in Engineering
Advanced Mathematical Modeling in Engineering is a research topic within Computational Theory and Mathematics. Science Explorer counts 56k research works in it since 1950. 15.0% of them reached the world's top 10% most cited for their field and year.
This cluster of papers focuses on the development and application of multiscale methods for analyzing heterogeneous systems, particularly in the context of homogenization, finite element simulations, and porous media flow. The papers cover topics such as upscaling techniques, subsurface flow simulation, coarse-grained computation, and the use of microscopic simulators to perform system-level analysis.
- Multiscale Methods
- Heterogeneous
- Homogenization
- Finite Element
- Porous Media
- Elliptic Problems
- Upscaling Techniques
- Subsurface Flow
- Coarse-Grained Computation
- Microscopic Simulators
- Research works
- 56k fractional, since 1950
- In the world top 10%
- 8.4k per year above
- Top-10% rate
- 15.0% share of its works in the world top 10%
- Growth, 2013–17 → 2018–22
- +7% the tick is no change
Which countries lead Advanced Mathematical Modeling in Engineering research?
By volume, China and the United States publish the most (1.9k and 751 works in 2022–2025).
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 Mathematical Modeling in Engineering research?
By volume in 2022–2025, Lomonosov Moscow State University publishes the most Advanced Mathematical Modeling in Engineering research, followed by Centre National de la Recherche Scientifique and Southwest University.
By volume, 2022–2025
- 1 Lomonosov Moscow State UniversityRussia 74 works
- 2 Centre National de la Recherche ScientifiqueFrance 73 works
- 3 Southwest UniversityChina 46 works
- 4 Université Sultan Moulay SlimaneMorocco 44 works
- 5 Sapienza University of RomeItaly 39 works
- 6 Politecnico di MilanoItaly 39 works
- 7 Central South UniversityChina 36 works
- 8 St Petersburg UniversityRussia 35 works
- 9 Tsinghua UniversityChina 31 works
- 10 Beijing Institute of TechnologyChina 28 works
Who are the leading researchers in Advanced Mathematical Modeling in Engineering?
The most-cited researchers publishing on Advanced Mathematical Modeling in Engineering include Stanley Osher, H. Eugene Stanley and Thomas J.R. Hughes.
- 1 Stanley Osher United States 8k citations
- 2 H. Eugene Stanley United States 5.5k citations
- 3 Thomas J.R. Hughes United States 3.7k citations
Ranked by citations received across their whole record, among researchers with at least three works on this topic.
Where is Advanced Mathematical Modeling in Engineering research done?
The largest centres of Advanced Mathematical Modeling in Engineering research in 2022–2025 are Beijing (China), Moscow (Russia), Paris (France) and Shanghai (China). Among places with at least 20 works in it, it is an unusually large share of all research in Beni Mellal.
Largest cities, 2022–2025
Where it is the local speciality
- Beni MellalMA · 43.9 works40×
Location quotient: how much more of its research is in Advanced Mathematical Modeling in Engineering than the world average.
Where is the best place to study Advanced Mathematical Modeling in Engineering?
Among universities, judged by research, Université Sultan Moulay Slimane, Imam Khomeini International University and Qassim 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.
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 | Université Sultan Moulay SlimaneMorocco | 68.1 | 32.6% | 40.2× | 44 | — |
| 2 | Imam Khomeini International UniversityIran | 61.1 | 37.8% | 30.2× | 14 | — |
| 3 | Qassim UniversitySaudi Arabia | 60.9 | 13.9% | 9.7× | 20 | +293.3% |
| 4 | Lomonosov Moscow State UniversityRussia | 58.9 | 7.8% | 10.9× | 74 | +39.9% |
| 5 | Tunis El Manar UniversityTunisia | 58.8 | 13.1% | 12.9× | 18 | +205.6% |
| 6 | Sidi Mohamed Ben Abdellah UniversityMorocco | 57.2 | 8.4% | 12.2× | 26 | +612.9% |
| 7 | University of PalermoItaly | 54.0 | 34.1% | 4.9× | 13 | +521.4% |
| 8 | Jimma UniversityEthiopia | 53.9 | 32.3% | 9.7× | 9 | — |
| 9 | Southwest UniversityChina | 52.2 | 7.9% | 10.6× | 46 | +41.8% |
| 10 | Abdelmalek Essaâdi UniversityMorocco | 51.3 | 7.3% | 10.6× | 14 | +226.4% |
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 Advanced Mathematical Modeling in Engineering research growing?
Output in 2018–2022 was 7% higher than in 2013–2017, peaking in 2024. The fastest-growing topics are Advanced Mathematical Modeling in Engineering.
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.