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Modeling and Simulation Systems

Modeling and Simulation Systems is a research topic within Computational Theory and Mathematics. Science Explorer counts 6.7k research works in it since 1950. 10.0% of them reached the world's top 10% most cited for their field and year.

This cluster of papers focuses on the Modelica language and simulation environment, which enables object-oriented modeling, co-simulation, and simulation of cyber-physical systems. It covers topics such as equation-based languages, hybrid modeling, real-time systems, and mechatronic systems.

  • Modelica
  • Simulation
  • Object-Oriented Modeling
  • Co-Simulation
  • Cyber-Physical Systems
  • Equation-Based Languages
  • Hybrid Modeling
  • Open Source
  • Real-Time Systems
  • Mechatronic Systems
Research works
6.7k
fractional, since 1950
In the world top 10%
676
per year above
Top-10% rate
10.0%
share of its works in the world top 10%
Growth, 2018-21 → 2022-25
+1%
the tick is no change
Largest producer
Germany
27% of the 10 largest, 2022-now

Which countries lead Modeling and Simulation Systems research?

By volume, Germany and the United States publish the most (189 and 178 works in 2022-now).

By volume, 2022-now

  1. 1 Germany 189 works
  2. 2 United States 178 works
  3. 3 China 122 works
  4. 4 Italy 45 works
  5. 5 France 41 works
  6. 6 India 37 works
  7. 7 United Kingdom 27 works
  8. 8 Spain 25 works
  9. 9 Canada 24 works
  10. 10 Austria 20 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.

Germany: 26.7%United States: 25.2%China: 17.2%Italy: 6.4%6 others listed: 24.5%27%largest
Germany189 · 26.7%United States178 · 25.2%China122 · 17.2%Italy45 · 6.4%6 others listed173 · 24.5%

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

Which institutions lead Modeling and Simulation Systems research?

By volume in 2022-now, Helmholtz Association of German Research Centres publishes the most Modeling and Simulation Systems research, followed by RWTH Aachen University and Atenisi Institute.

Who are the leading researchers in Modeling and Simulation Systems?

The most-cited researchers publishing on Modeling and Simulation Systems include Frede Blaabjerg and A. Pfeiffer.

  1. 1 Frede Blaabjerg Denmark 203k citations
  2. 2 A. Pfeiffer Germany 143k citations

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

What are the most cited papers in Modeling and Simulation Systems?

The most cited paper in Modeling and Simulation Systems is "MuJoCo: A physics engine for model-based control" (Emanuel Todorov, Tom Erez, Yuval Tassa, 2012), with 4,629 citations. Next come "A family of embedded Runge-Kutta formulae" (3,681) and "Construction of higher order symplectic integrators" (2,327).

Most cited papers
#PaperReleasedCitations
1 MuJoCo: A physics engine for model-based control Emanuel Todorov, Tom Erez, Yuval Tassa Conference paper Oct 2012 4,629
2 A family of embedded Runge-Kutta formulae John R. Dormand, P.J. Prince · Journal of Computational and Applied Mathematics Open access Mar 1980 3,681
3 Construction of higher order symplectic integrators Haruo Yoshida · Physics Letters A Nov 1990 2,327
4 Tcl and the Tk Toolkit John K. Ousterhout 1994 1,605
5 Stabilization of constraints and integrals of motion in dynamical systems Joachim W. Baumgarte · Computer Methods in Applied Mechanics and Engineering Jun 1972 1,574
All 97 most cited papers, with filters and sorting

Where is Modeling and Simulation Systems research done?

The largest centres of Modeling and Simulation Systems research in 2022-now are Beijing (China), Aachen (Germany), Nuku'alofa (Tonga) and Stuttgart (Germany). Among places with at least 20 works in it, it is an unusually large share of all research in Aachen.

Largest cities, 2022-now

  1. 1 BeijingChina 30 works
  2. 2 AachenGermany 22 works
  3. 3 Nuku'alofaTonga 18 works
  4. 4 StuttgartGermany 17 works
  5. 5 KarlsruheGermany 15 works
  6. 6 CologneGermany 14 works
  7. 7 ShanghaiChina 13 works
  8. 8 ParisFrance 11 works
  9. 9 MilanItaly 11 works
  10. 10 BerlinGermany 10 works

Where it is the local speciality

  1. AachenDE · 21.9 works25×
← less than its size predicts1×more →

Location quotient: how much more of its research is in Modeling and Simulation Systems than the world average.

See Modeling and Simulation Systems on the map

Where is the best place to study Modeling and Simulation Systems?

Among universities, judged by research, RWTH Aachen University, Atenisi Institute and Politecnico di Milano 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%5%10%15%mean 10.075%fractional works in this field (log) →share of work in the world top 10% →RWTH Aachen UniversityPolitecnico di MilanoAtenisi InstituteUniversity of Stuttg…
above the meannear itbelow it

One dot per university in the first ten of the table below, at the default weights. The upper left is the interesting corner: small places doing unusually strong work.

Excellenceshare of its work in the world top 10%, 2022-now and all time averaged
40%
Specialisationhow much of its work is in this field, counted up to 10× the world share
10%
Sizeits output in this field, on a log scale
30%
Growthoutput growth, counted from -20% to +20%
10%
Internationalshare of its work with a co-author abroad
10%
Each slider sets a weight; the share it gets of the score is beside it.
#UniversityScoreTop 10%SpecialisationWorksGrowth
1RWTH Aachen UniversityGermany 85.813.4%29.9×20 +27.6%
2Atenisi InstituteTonga 37.68.6%64351.1×18 -
3Politecnico di MilanoItaly 35.99.7%14.8×9 +44.7%
4University of StuttgartGermany 2.98.6%31.9×10 -14.8%

Universities only. The score blends excellence (40%), size (30%), specialisation (10%), growth (10%), international reach (10%), 2022-now; growth compares 2018-21 with 2022-25 and counts up to +20%, since a jump from a small base is mostly noise.

Every institution in Modeling and Simulation Systems, country by country

Is Modeling and Simulation Systems research growing?

Output in 2022-2025 was 1% higher than in 2018-2021, peaking in 2025. The fastest-growing topics are Modeling and Simulation Systems.

still counting19801990200020102020
grewheldshrank

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

Its share of all research

Growing output can still be a shrinking share: all of science grows. This is Modeling and Simulation Systems as a percentage of every work published that year, 0.0030% in 2024.

still counting0.0050%0.010%0.015%Modeling and Simulation Systems0.0048% in 202519801990200020102020

Fractional works of Modeling and Simulation Systems over all fractional works that year. How the balance of science has shifted.

How much of it reaches the world top 10%

Year by year.

still counting5%10%15%Modeling and Simulation Systems10.1% in 2025200020102020

Of each year's works in it, the share that reached the world's 10% most cited for their field and year. A field is the world for its own topics, so there is no other line to hold it against.

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.

Discussion

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