Science Explorer Interactive view Map
Company · Gales Ferry · United States

Applied Mathematics (United States)

In research, Applied Mathematics (United States) stands highest in Physical Sciences (#4,373 of 12,888 worldwide), 2022–2025. Relative to its size it is most specialised in Mathematics — Mathematics is 12.4× its share of world research.

applmath.com/Pages/default.aspxROR OpenAlex
World rank, 2022–2025
#5,942
of 28,054 · #2,526 all time
Rank in United States
#802
of 4,192
Research works
3.1k
▼ 33% vs 2013–17
Citations
95k
30.9 per fractional work
Top-10% rate
17.1%
record average 16.5%
Open access
36%
world 28%

What is Applied Mathematics (United States) 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 #4,373 of 12,888 16.5%199 #1727

Each strip is that field’s whole ranked pool, with the notch where Applied Mathematics (United States) 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).

What does Applied Mathematics (United States) specialise in?

Where its research is concentrated relative to its size: Mathematics takes 12.4× the share of its output that it takes of world research.

  1. MathematicsField · 40.1 works12×
← 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: 0.12× its world share, 2 worksAgricultural and Bio…Biochemistry, Genetics and Molecular Biology: 1.12× its world share, 16 worksBiochemistry, Geneti…Immunology and Microbiology: 0.46× its world share, 1 worksImmunology and Micro…Neuroscience: 1.49× its world share, 7 worksNeurosciencePharmacology, Toxicology and Pharmaceutics: 0.17× its world share, 0 worksPharmacology, Toxico…Chemical Engineering: 1.42× its world share, 1 worksChemical EngineeringChemistry: 0.61× its world share, 3 worksChemistryComputer Science: 2.36× its world share, 50 worksComputer ScienceEarth and Planetary Sciences: 1.50× its world share, 6 worksEarth and Planetary …Energy: 0.39× its world share, 1 worksEnergyEngineering: 1.35× its world share, 56 worksEngineeringEnvironmental Science: 0.68× its world share, 9 worksEnvironmental ScienceMaterials Science: 0.67× its world share, 6 worksMaterials ScienceMathematics: 12.39× its world share, 40 worksMathematicsPhysics and Astronomy: 4.29× its world share, 26 worksPhysics and AstronomyHealth Professions: 0.19× its world share, 1 worksHealth ProfessionsMedicine: 0.30× its world share, 16 worksMedicineArts and Humanities: 0.10× its world share, 1 worksArts and HumanitiesBusiness, Management and Accounting: 0.45× its world share, 4 worksBusiness, Management…Decision Sciences: 2.91× its world share, 8 worksDecision SciencesEconomics, Econometrics and Finance: 1.16× its world share, 7 worksEconomics, Econometr…Psychology: 0.25× its world share, 2 worksPsychologySocial Sciences: 0.30× its world share, 10 worksSocial Sciences1×world share
more than its size predictsabout as predictedless

Rings at 0.5×, 1× and 2×. Widest outward: Mathematics, 12.4×. Every wedge is a field page.

Who are the top researchers at Applied Mathematics (United States)?

Ranked on the composite score, J. W. Dold lead among researchers whose main affiliation is Applied Mathematics (United States).

  1. 1 J. W. Dold United States · #353,491 worldwide 168 citations · 17 works
All ranked researchers at Applied Mathematics (United States)

Which keywords describe research at Applied Mathematics (United States)?

By fractional works in 2022–2025, weighted toward what it does more of than the world: Machine Learning, Deep Learning, Inverse Problems, Nonlinear Systems, Partial Differential Equations, Neural Networks, Fluid Dynamics and Porous Media.

▲ 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. Machine Learning25▲ 2.8×48 topics
  2. Deep Learning22▲ 2.3×45 topics
  3. Neural Networks10▲ 2.4×25 topics
  4. Inverse Problems8▲ 27×4 topics
  5. Nonlinear Systems8▲ 13×6 topics
  6. Partial Differential Equations6▲ 41×2 topics
  7. Renewable Energy6▲ 1.52×18 topics
  8. Fluid Dynamics6▲ 15×4 topics
  9. Heat Transfer5▲ 3.9×12 topics
  10. Dynamic Mode Decomposition5▲ 49×1 topic
  11. Model Reduction5▲ 34×1 topic
  12. Porous Media5▲ 13×5 topics
  13. Data Analysis4▲ 6.0×5 topics
  14. Numerical Methods4▲ 19×4 topics
  15. Fluid-Structure Interaction4▲ 10×5 topics
  16. Finite Element4▲ 31×2 topics
  17. Heterogeneous4▲ 35×1 topic
  18. Multiscale Methods4▲ 35×1 topic
  19. Nonlinear Equations4▲ 9.9×5 topics
  20. Controllability3▲ 29×2 topics
  21. Molecular Dynamics3▲ 7.3×6 topics
  22. Boundary Value Problems3▲ 23×3 topics
  23. Feedback Control3▲ 7.1×3 topics
  24. Viscoelasticity3▲ 18×4 topics
  25. Large-Eddy Simulation3▲ 5.3×3 topics
  26. Vortex Dynamics3▲ 8.8×3 topics
  27. Bayesian Inference3▲ 10×4 topics
  28. Convex Optimization3▲ 12×5 topics
  29. Parallel Computing3▲ 8.4×4 topics
  30. Turbulent Flows3▲ 9.8×2 topics
  31. Anomalous Diffusion3▲ 17×2 topics
  32. High-Dimensional Data3▲ 6.1×3 topics
  33. Network Dynamics3▲ 9.5×3 topics
  34. Boundary Layer Transition2▲ 13×1 topic
  35. Particle Image Velocimetry2▲ 13×1 topic
  36. Clustering2▲ 9.3×4 topics
  37. Elastic Properties2▲ 11×2 topics
  38. Electrical Impedance Tomography2▲ 26×2 topics
  39. Model Selection2▲ 10×3 topics
  40. Adaptive Mesh Refinement2▲ 13×2 topics

Which research topics does Applied Mathematics (United States) publish most on?

By volume in 2022–2025: Model Reduction and Neural Networks, Advanced Mathematical Modeling in Engineering, Fluid Dynamics and Turbulent Flows and Neural Networks and Applications.

Model Reduction and Neural Networks: 5 fractional worksAdvanced Mathematical Modeling in Engineering: 4 fractional worksFluid Dynamics and Turbulent Flows: 2 fractional worksNeural Networks and Applications: 2 fractional worksNumerical methods in inverse problems: 2 fractional worksRings, Modules, and Algebras: 2 fractional worksFractional Differential …2Fractional Differential Equations Solutions: 2 fractional worksAdvanced Numerical Methods in Computational Mathematics: 2 fractional worksComposite Material Mechanics: 2 fractional worksStability and Controllab…2Stability and Controllability of Differential Equations: 2 fractional works
Statistical and Nonlinear PhysicsComputational Theory and MathematicsComputational MechanicsArtificial Intelligence5 others

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

  1. 1 Model Reduction and Neural Networks Statistical and Nonlinear Physics 5 works
  2. 2 Advanced Mathematical Modeling in Engineering Computational Theory and Mathematics 4 works
  3. 3 Fluid Dynamics and Turbulent Flows Computational Mechanics 2 works
  4. 4 Neural Networks and Applications Artificial Intelligence 2 works
  5. 5 Numerical methods in inverse problems Mathematical Physics 2 works
  6. 6 Rings, Modules, and Algebras Algebra and Number Theory 2 works
  7. 7 Fractional Differential Equations Solutions Modeling and Simulation 2 works
  8. 8 Advanced Numerical Methods in Computational Mathematics Computational Mechanics 2 works
  9. 9 Composite Material Mechanics Mechanics of Materials 2 works
  10. 10 Stability and Controllability of Differential Equations Control and Systems Engineering 2 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 available36.1%not open63.9%

World: 28% of research is openly available.

with international co-authors42.1%domestic only57.9%

World: 19% is written across borders.

How has Applied Mathematics (United States)'s research output changed?

Output in 2018–2022 was 33% lower 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.

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.