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Research facility · Moscow · Russia

Keldysh Institute of Applied Mathematics

In research, Keldysh Institute of Applied Mathematics stands highest in Physical Sciences (#5,194 of 12,888 worldwide), Engineering (#3,369 of 6,636 worldwide) and Computer Science (#3,285 of 4,667 worldwide), 2022–2025. Relative to its size it is most specialised in Numerical Analysis, Earth-Surface Processes and Computational Mechanics — Numerical Analysis is 38.7× its share of world research.

keldysh.ruROR OpenAlex
World rank, 2022–2025
#9,221
of 28,054 · #4,724 all time
Rank in Russia
#197
of 1,062
Research works
5.5k
▲ 134% vs 2013–17
Citations
39k
7.0 per fractional work
Top-10% rate
6.7%
record average 16.5%
Open access
38%
world 28%

What is Keldysh Institute of Applied Mathematics known for in research?

The fields where it stands highest, 2022–2025, ranked among every institution above the floor in each field.

FieldWorld rankWhere that sitsTop-10% rateWorksAll time
Physical SciencesDomain #5,194 of 12,888 6.5%992 #2829
EngineeringField #3,369 of 6,636 9.7%397 #2100
Computer ScienceField #3,285 of 4,667 2.7%127 #1015
Aerospace EngineeringSubfield #623 of 795 28.2%91 #676
MathematicsField #880 of 1,053 6.9%142 #913
Computational MechanicsSubfield #349 of 376 4.7%135 #656
Physics and AstronomyField #1,533 of 1,646 5.1%181 #2135
Earth and Planetary SciencesField #1,133 of 1,209 3.1%68 #2179
Social SciencesDomain #9,881 of 10,521 10.2%63 #14069
Astronomy and AstrophysicsSubfield #427 of 443 6.9%65 #690

Each strip is that field’s whole ranked pool, with the notch where Keldysh Institute of Applied Mathematics sits in it, in the colour of the band that rank falls in. The track under the rate is the rate itself: it carries no world mark, because the world rate differs by field (from about 6% to 21% in this record).

Which of those standings moved

The same fields on both windows: where it stood over the whole record, and where it stands in 2022–2025. The distance is the story, and it is the one thing the two rank columns above cannot show.

  1. Physical Sciences#2,829 #5,194
  2. Engineering#2,100 #3,369
  3. Computer Science#1,015 #3,285
  4. Aerospace Engineering#676 #623
  5. Mathematics#913 #880
  6. Computational Mechanics#656 #349
  7. Physics and Astronomy#2,135 #1,533
  8. Earth and Planetary Sciences#2,179 #1,133
  9. Social Sciences#14,069 #9,881
  10. Astronomy and Astrophysics#690 #427
all time2022–2025, better2022–2025, worse

A dot further right is a better standing. Fields it was not ranked in over the whole record are left out.

What does Keldysh Institute of Applied Mathematics specialise in?

Where its research is concentrated relative to its size: Numerical Analysis takes 38.7× the share of its output that it takes of world research.

  1. Numerical AnalysisSubfield · 36.4 works39×
  2. Earth-Surface ProcessesSubfield · 29.5 works23×
  3. Computational MechanicsSubfield · 135.2 works21×
  4. Applied MathematicsSubfield · 57.6 works18×
  5. Mathematical PhysicsSubfield · 26.6 works15×
  6. Statistical and Nonlinear PhysicsSubfield · 46.5 works13×
  7. Astronomy and AstrophysicsSubfield · 64.8 works11×
  8. MathematicsField · 142.1 works11×
← less than its size predicts1×more →

Location quotient, a volume reading rather than an impact one. It surfaces small, lopsided specialities.

Field profile

Location quotient across every field it publishes in: outside the ring is more than an institution of this size would be expected to publish, inside it is less.

Agricultural and Biological Sciences: 0.16× its world share, 9 worksAgricultural and Bio…Biochemistry, Genetics and Molecular Biology: 0.27× its world share, 16 worksBiochemistry, Geneti…Immunology and Microbiology: 0.10× its world share, 1 worksImmunology and Micro…Neuroscience: 0.16× its world share, 3 worksNeurosciencePharmacology, Toxicology and Pharmaceutics: 0.02× its world share, 0 worksPharmacology, Toxico…Chemical Engineering: 0.40× its world share, 2 worksChemical EngineeringChemistry: 0.52× its world share, 9 worksChemistryComputer Science: 1.49× its world share, 128 worksComputer ScienceEarth and Planetary Sciences: 3.92× its world share, 68 worksEarth and Planetary …Energy: 0.10× its world share, 1 worksEnergyEngineering: 2.41× its world share, 397 worksEngineeringEnvironmental Science: 0.58× its world share, 32 worksEnvironmental ScienceMaterials Science: 0.88× its world share, 34 worksMaterials ScienceMathematics: 10.97× its world share, 142 worksMathematicsPhysics and Astronomy: 7.38× its world share, 181 worksPhysics and AstronomyDentistry: 0.10× its world share, 0 worksDentistryHealth Professions: 0.01× its world share, 0 worksHealth ProfessionsMedicine: 0.08× its world share, 17 worksMedicineNursing: 0.02× its world share, 0 worksNursingArts and Humanities: 0.12× its world share, 4 worksArts and HumanitiesBusiness, Management and Accounting: 0.13× its world share, 5 worksBusiness, Management…Decision Sciences: 1.00× its world share, 11 worksDecision SciencesEconomics, Econometrics and Finance: 0.37× its world share, 9 worksEconomics, Econometr…Psychology: 0.03× its world share, 1 worksPsychologySocial Sciences: 0.24× its world share, 34 worksSocial Sciences1×world share
more than its size predictsabout as predictedless

Rings at 0.5×, 1× and 2×. Widest outward: Mathematics, 11.0×. Every wedge is a field page.

Who are the top researchers at Keldysh Institute of Applied Mathematics?

Ranked on the composite score, Yu. N. Orlov, V.I. Levenshtein and I. M. Sobol lead among researchers whose main affiliation is Keldysh Institute of Applied Mathematics.

  1. 1 Yu. N. Orlov Russia · #35,660 worldwide 583 citations · 37 works
  2. 2 V.I. Levenshtein Russia · #83,329 worldwide 2.3k citations · 23 works
  3. 3 I. M. Sobol Russia · #102,288 worldwide 577 citations · 22 works
  4. 4 Alexander Ivanovich Aptekarev Russia · #164,564 worldwide 192 citations · 54 works
  5. 5 M Y Ovchinnikov Russia · #252,989 worldwide 120 citations · 54 works
  6. 6 Б. Н. Четверушкин Russia · #295,987 worldwide 98 citations · 70 works
  7. 7 A. Gorobets Russia · #349,394 worldwide 170 citations · 38 works
  8. 8 D. S. Roldugin Russia · #417,344 worldwide 44 citations · 22 works
  9. 9 A. V. Bobylev Russia · #497,390 worldwide 104 citations · 27 works
  10. 10 Danil Ivanov Russia · #521,331 worldwide 35 citations · 25 works
All ranked researchers at Keldysh Institute of Applied Mathematics

Which keywords describe research at Keldysh Institute of Applied Mathematics?

By fractional works in 2022–2025, weighted toward what it does more of than the world: Adaptive Mesh Refinement, High-Order Schemes, Numerical Methods, Radial Basis Functions, Shock-Wave Interactions, Turbulence Modeling, Heat Transfer and Large-Eddy Simulation.

▲ more of its work than of the world’s◆ about the world’s share▼ less than the world’s

Size is fractional works in 2022–2025 in the topics tagged with each word; colour is the word's share of this institution's work against its share of the world's. The 40 words are chosen for being large and distinctive. Each links to the topic it comes from most.

All 40 words, with their numbers
  1. Adaptive Mesh Refinement68▲ 99×2 topics
  2. High-Order Schemes68▲ 99×2 topics
  3. Numerical Methods55▲ 60×4 topics
  4. Radial Basis Functions50▲ 64×2 topics
  5. Shock-Wave Interactions48▲ 112×1 topic
  6. Turbulence Modeling48▲ 112×1 topic
  7. Heat Transfer45▲ 8.3×14 topics
  8. Large-Eddy Simulation40▲ 19×5 topics
  9. High-Performance Computing40▲ 44×3 topics
  10. Kinetic Theory37▲ 74×2 topics
  11. Fluid-Structure Interaction36▲ 21×5 topics
  12. Numerical Modeling35▲ 30×4 topics
  13. Environmental Impact35▲ 1.86×9 topics
  14. Sediment Transport30▲ 17×4 topics
  15. Hydrodynamic Processes29▲ 245×1 topic
  16. Shallow Water Flows29▲ 245×1 topic
  17. Boltzmann Equation28▲ 123×1 topic
  18. Rarefied Flows28▲ 123×1 topic
  19. Vortex Dynamics27▲ 21×3 topics
  20. Turbulent Flows27▲ 24×3 topics
  21. Fluid Mechanics26▲ 33×2 topics
  22. Boundary Layer Transition26▲ 34×1 topic
  23. Particle Image Velocimetry26▲ 34×1 topic
  24. Porous Media24▲ 16×5 topics
  25. Convection-Diffusion Problems20▲ 69×1 topic
  26. Singular Perturbation20▲ 69×1 topic
  27. Discontinuous Galerkin Methods19▲ 77×1 topic
  28. Finite Element Methods19▲ 77×1 topic
  29. Nonlinear Equations18▲ 13×5 topics
  30. Optimal Control17▲ 22×5 topics
  31. Social Influence17▲ 7.2×3 topics
  32. Solar Wind16▲ 16×2 topics
  33. Spacecraft Formation Flying16▲ 107×1 topic
  34. Trajectory Optimization16▲ 26×1 topic
  35. Turbulence16▲ 17×4 topics
  36. Multiphase Flow15▲ 15×4 topics
  37. Orbit Determination14▲ 30×2 topics
  38. Parallel Computing14▲ 11×4 topics
  39. On-Orbit Servicing14▲ 58×1 topic
  40. Space Debris14▲ 58×1 topic

Which research topics does Keldysh Institute of Applied Mathematics publish most on?

By volume in 2022–2025: Computational Fluid Dynamics and Aerodynamics, Aquatic and Environmental Studies, Gas Dynamics and Kinetic Theory and Fluid Dynamics and Turbulent Flows.

Computational Fluid Dyna…48Computational Fluid Dynamics and Aerodynamics: 48 fractional worksAquatic and Environmental Studies: 29 fractional worksGas Dynamics and Kinetic…28Gas Dynamics and Kinetic Theory: 28 fractional worksFluid Dynamics and Turbu…26Fluid Dynamics and Turbulent Flows: 26 fractional worksDifferential Equations and Numerical Methods: 20 fractional worksAdvanced Numerical Methods in Computational Mathematics: 19 fractional worksSpacecraft Dynamics and …16Spacecraft Dynamics and Control: 16 fractional worksSpace Satellite Systems and Control: 14 fractional worksSolar and Space Plasma Dynamics: 11 fractional worksAstro and Planetary Science: 11 fractional works
Computational MechanicsEarth-Surface ProcessesApplied MathematicsNumerical Analysis2 others

Area is fractional works; colour is the subfield each topic belongs to.

  1. 1 Computational Fluid Dynamics and Aerodynamics Computational Mechanics 48 works
  2. 2 Aquatic and Environmental Studies Earth-Surface Processes 29 works
  3. 3 Gas Dynamics and Kinetic Theory Applied Mathematics 28 works
  4. 4 Fluid Dynamics and Turbulent Flows Computational Mechanics 26 works
  5. 5 Differential Equations and Numerical Methods Numerical Analysis 20 works
  6. 6 Advanced Numerical Methods in Computational Mathematics Computational Mechanics 19 works
  7. 7 Spacecraft Dynamics and Control Aerospace Engineering 16 works
  8. 8 Space Satellite Systems and Control Aerospace Engineering 14 works
  9. 9 Solar and Space Plasma Dynamics Astronomy and Astrophysics 11 works
  10. 10 Astro and Planetary Science Astronomy and Astrophysics 11 works

How open and international is its research?

Against the world’s own shares — the tick on each track. Both are shares of its output, so they sit on one scale and can be read against each other as well as against the world.

openly available38.3%not open61.7%

World: 28% of research is openly available.

with international co-authors10.6%domestic only89.4%

World: 19% is written across borders.

How has Keldysh Institute of Applied Mathematics's research output changed?

Output in 2018–2022 was 134% higher than in 2013–2017.

1990200020102020
grewheldshrank

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

Other research institutions in Moscow

All research institutions in Moscow

Research measures only: rankings here say nothing about teaching, admissions or student experience. Comparable institutions and collaboration partners are in the interactive view on the map.