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University · Bilbao · Spain

Basque Center for Applied Mathematics

In research, Basque Center for Applied Mathematics stands highest in Physical Sciences (#4,665 of 10,670 worldwide), Engineering (#3,464 of 5,901 worldwide) and Mathematics (#652 of 1,051 worldwide), 2022-now. Relative to its size it is most specialised in Applied Mathematics and Mathematics (Applied Mathematics is 26.9× its share of world research).

bcamath.orgROR OpenAlex
World rank, 2022-now
#9,829
of 22,385 · #7,898 all time
Rank in Spain
#193
of 426
Research works
830
▲ 18% vs 2018-21
Citations
12k
14.5 per fractional work
Top-10% rate
11.0%
all institutions 10.0%
vs its own fields
0.99×
1.00× is exactly expected
Open access
72%
world 40%
International
56%
world 18%
Basque Center for Applied Mathematics

What is Basque Center for Applied Mathematics known for in research?

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

FieldWorld rankWhere that sitsTop-10% rateWorksAll time
Physical SciencesDomain #4,665 of 10,670 11.1%210 #4125
EngineeringField #3,464 of 5,901 11.9%61 #3074
MathematicsField #652 of 1,051 13.8%60 #1011

Each strip is that field's whole ranked pool, with the notch where Basque Center for 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 average mark, because the average differs by field (from about 6% in Dentistry to 21% in Economics).

Which of those standings moved

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

  1. Physical Sciences#4,125 #4,665
  2. Engineering#3,074 #3,464
  3. Mathematics#1,011 #652
all time2022-now, better2022-now, worse

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

Which fields of science does Basque Center for Applied Mathematics work in?

In 2022-now, 79% of research at Basque Center for Applied Mathematics is in Physical Sciences, 9% in Health Sciences. Its largest fields are Engineering (23%), Mathematics (22%), Computer Science (18%). It does 2.0× the world's share of Physical Sciences.

Physical Sciences: 229 fractional works · 78.6% of its workEngineering: 66 fractional works · 22.7% of its workComputational Mechanics: 14 fractional works · 4.8% of its workElectrical and Electronic Engineering: 10 fractional works · 3.4% of its workOcean Engineering: 7 fractional works · 2.3% of its workBiomedical Engineering: 7 fractional works · 2.3% of its workCivil and Structural Engineering: 5 fractional works · 1.9% of its workAerospace Engineering: 5 fractional works · 1.7% of its workMechanical Engineering: 5 fractional works · 1.6% of its workIndustrial and Manufacturing Engineering: 4 fractional works · 1.4% of its workControl and Systems Engineering: 4 fractional works · 1.3% of its workMechanics of Materials: 3 fractional works · 0.9% of its workAutomotive Engineering: 2 fractional works · 0.6% of its workBuilding and Construction: 1 fractional works · 0.2% of its workSmaller subfields together: 1 fractional works · 0.2% of its workMathematics: 64 fractional works · 22.1% of its workApplied Mathematics: 23 fractional works · 7.7% of its workMathematical Physics: 15 fractional works · 5.2% of its workGeometry and Topology: 10 fractional works · 3.4% of its workModeling and Simulation: 5 fractional works · 1.8% of its workNumerical Analysis: 5 fractional works · 1.6% of its workStatistics and Probability: 3 fractional works · 1.1% of its workAlgebra and Number Theory: 2 fractional works · 0.7% of its workDiscrete Mathematics and Combinatorics: 1 fractional works · 0.5% of its workComputer Science: 51 fractional works · 17.6% of its workArtificial Intelligence: 27 fractional works · 9.2% of its workComputational Theory and Mathematics: 13 fractional works · 4.5% of its workComputer Networks and Communications: 4 fractional works · 1.3% of its workComputer Vision and Pattern Recognition: 2 fractional works · 0.8% of its workSignal Processing: 2 fractional works · 0.6% of its workInformation Systems: 1 fractional works · 0.4% of its workComputer Graphics and Computer-Aided Design: 1 fractional works · 0.4% of its workSmaller subfields together: 1 fractional works · 0.3% of its workPhysics and Astronomy: 22 fractional works · 7.7% of its workStatistical and Nonlinear Physics: 11 fractional works · 3.8% of its workAtomic and Molecular Physics, and Optics: 7 fractional works · 2.3% of its workCondensed Matter Physics: 3 fractional works · 1.0% of its workAstronomy and Astrophysics: 1 fractional works · 0.4% of its workNuclear and High Energy Physics: 1 fractional works · 0.2% of its workSmaller subfields together: 0 fractional works · 0.1% of its workMaterials Science: 9 fractional works · 2.9% of its workMaterials Chemistry: 6 fractional works · 2.1% of its workElectronic, Optical and Magnetic Materials: 1 fractional works · 0.4% of its workPolymers and Plastics: 1 fractional works · 0.2% of its workSmaller subfields together: 1 fractional works · 0.2% of its workEnvironmental Science: 6 fractional works · 2.2% of its workGlobal and Planetary Change: 3 fractional works · 1.1% of its workEcology: 1 fractional works · 0.3% of its workNature and Landscape Conservation: 1 fractional works · 0.3% of its workEnvironmental Engineering: 1 fractional works · 0.2% of its workSmaller subfields together: 1 fractional works · 0.3% of its workEarth and Planetary Sciences: 5 fractional works · 1.8% of its workGeophysics: 3 fractional works · 0.9% of its workOceanography: 2 fractional works · 0.6% of its workAtmospheric Science: 1 fractional works · 0.3% of its workSmaller subfields together: 0 fractional works · 0.1% of its workChemical Engineering: 2 fractional works · 0.6% of its workFluid Flow and Transfer Processes: 2 fractional works · 0.6% of its workChemistry: 2 fractional works · 0.6% of its workOrganic Chemistry: 1 fractional works · 0.2% of its workSmaller subfields together: 1 fractional works · 0.4% of its workEnergy: 1 fractional works · 0.2% of its workRenewable Energy, Sustainability and the Environment: 1 fractional works · 0.2% of its workHealth Sciences: 25 fractional works · 8.7% of its workMedicine: 24 fractional works · 8.2% of its workPublic Health, Environmental and Occupational Health: 5 fractional works · 1.7% of its workPhysiology: 3 fractional works · 1.1% of its workInfectious Diseases: 3 fractional works · 1.0% of its workEpidemiology: 3 fractional works · 0.9% of its workPulmonary and Respiratory Medicine: 2 fractional works · 0.6% of its workSurgery: 1 fractional works · 0.5% of its workNeurology: 1 fractional works · 0.5% of its workCardiology and Cardiovascular Medicine: 1 fractional works · 0.3% of its workRadiology, Nuclear Medicine and Imaging: 1 fractional works · 0.3% of its workOncology: 1 fractional works · 0.2% of its workSmaller subfields together: 4 fractional works · 1.3% of its workHealth Professions: 1 fractional works · 0.5% of its workLife Sciences: 21 fractional works · 7.3% of its workBiochemistry, Genetics and Molecular Biology: 10 fractional works · 3.5% of its workMolecular Biology: 7 fractional works · 2.6% of its workGenetics: 1 fractional works · 0.4% of its workBiophysics: 1 fractional works · 0.3% of its workSmaller subfields together: 1 fractional works · 0.3% of its workNeuroscience: 9 fractional works · 3.0% of its workCognitive Neuroscience: 4 fractional works · 1.5% of its workCellular and Molecular Neuroscience: 3 fractional works · 1.0% of its workNeurology: 1 fractional works · 0.3% of its workSmaller subfields together: 1 fractional works · 0.3% of its workAgricultural and Biological Sciences: 2 fractional works · 0.6% of its workPlant Science: 1 fractional works · 0.2% of its workSmaller subfields together: 1 fractional works · 0.3% of its workImmunology and Microbiology: 1 fractional works · 0.2% of its workSocial Sciences: 15 fractional works · 5.3% of its workDecision Sciences: 5 fractional works · 1.7% of its workManagement Science and Operations Research: 3 fractional works · 0.9% of its workStatistics, Probability and Uncertainty: 2 fractional works · 0.6% of its workSmaller subfields together: 0 fractional works · 0.1% of its workSocial Sciences: 4 fractional works · 1.4% of its workSafety Research: 1 fractional works · 0.4% of its workSociology and Political Science: 1 fractional works · 0.3% of its workEducation: 1 fractional works · 0.2% of its workSmaller subfields together: 1 fractional works · 0.5% of its workEconomics, Econometrics and Finance: 2 fractional works · 0.8% of its workEconomics and Econometrics: 1 fractional works · 0.5% of its workFinance: 1 fractional works · 0.3% of its workPsychology: 2 fractional works · 0.8% of its workExperimental and Cognitive Psychology: 1 fractional works · 0.5% of its workSmaller subfields together: 1 fractional works · 0.3% of its workBusiness, Management and Accounting: 2 fractional works · 0.6% of its workOrganizational Behavior and Human Resource Management: 1 fractional works · 0.2% of its workStrategy and Management: 1 fractional works · 0.2% of its workSmaller subfields together: 1 fractional works · 0.2% of its workArts and Humanities: 0 fractional works · 0.1% of its workALL ITS WORKBasque Center forApplied…291fractional works, 2022-now
Life Sciences7%Physical Sciences79%Health Sciences9%Social Sciences5%

Each ring splits the one inside it: the four domains of science, their fields, their subfields. Size is fractional works in 2022-now. Every slice is a page; the interactive view zooms down to single topics and colours each by how much more of it this institution does than the world.

Its 4 domains and 23 fields, with their numbers
    1. Engineering6622.7%
    2. Mathematics6422.1%
    3. Computer Science5117.6%
    4. Physics and Astronomy227.7%
    5. Materials Science92.9%
    6. Environmental Science62.2%
    7. Earth and Planetary Sciences51.8%
    8. Chemical Engineering20.6%
    9. Chemistry20.6%
    10. Energy10.2%
    1. Medicine248.2%
    2. Health Professions10.5%
    3. Dentistry00.0%
    1. Biochemistry, Genetics and Molecular Biology103.5%
    2. Neuroscience93.0%
    3. Agricultural and Biological Sciences20.6%
    4. Immunology and Microbiology10.2%
    1. Decision Sciences51.7%
    2. Social Sciences41.4%
    3. Economics, Econometrics and Finance20.8%
    4. Psychology20.8%
    5. Business, Management and Accounting20.6%
    6. Arts and Humanities00.1%
All of science, and how each field's share has moved since 1950: the Science domain explorer

What does Basque Center for Applied Mathematics specialise in?

Where its research is concentrated relative to its size: Applied Mathematics takes 26.9× the share of its output that it takes of world research.

  1. Applied MathematicsSubfield · 22.6 works27×
  2. MathematicsField · 64.4 works19×
← 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: 0.66× its world share, 10 worksBiochemistry, Geneti…Immunology and Microbiology: 0.24× its world share, 1 worksImmunology and Micro…Neuroscience: 1.85× its world share, 9 worksNeuroscienceChemical Engineering: 1.85× its world share, 2 worksChemical EngineeringChemistry: 0.40× its world share, 2 worksChemistryComputer Science: 2.26× its world share, 51 worksComputer ScienceEarth and Planetary Sciences: 1.18× its world share, 5 worksEarth and Planetary …Energy: 0.25× its world share, 1 worksEnergyEngineering: 1.51× its world share, 66 worksEngineeringEnvironmental Science: 0.44× its world share, 6 worksEnvironmental ScienceMaterials Science: 0.84× its world share, 8 worksMaterials ScienceMathematics: 18.80× its world share, 64 worksMathematicsPhysics and Astronomy: 3.47× its world share, 22 worksPhysics and AstronomyDentistry: 0.04× its world share, 0 worksDentistryHealth Professions: 0.18× its world share, 1 worksHealth ProfessionsMedicine: 0.43× its world share, 24 worksMedicineArts and Humanities: 0.02× its world share, 0 worksArts and HumanitiesBusiness, Management and Accounting: 0.20× its world share, 2 worksBusiness, Management…Decision Sciences: 1.72× its world share, 5 worksDecision SciencesEconomics, Econometrics and Finance: 0.37× its world share, 2 worksEconomics, Econometr…Psychology: 0.26× its world share, 2 worksPsychologySocial Sciences: 0.11× its world share, 4 worksSocial Sciences1×world share
more than its size predictsabout as predictedless

Rings at 0.5×, 1× and 2×. Widest outward: Mathematics, 18.8×. Every wedge is a field page.

All 23 fields, with their numbers
  1. Mathematics18.80×64 works
  2. Physics and Astronomy3.47×22 works
  3. Computer Science2.26×51 works
  4. Neuroscience1.85×9 works
  5. Chemical Engineering1.85×2 works
  6. Decision Sciences1.72×5 works
  7. Engineering1.51×66 works
  8. Earth and Planetary Sciences1.18×5 works
  9. Materials Science0.84×8 works
  10. Biochemistry, Genetics and Molecular Biology0.66×10 works
  11. Environmental Science0.44×6 works
  12. Medicine0.43×24 works
  13. Chemistry0.40×2 works
  14. Economics, Econometrics and Finance0.37×2 works
  15. Psychology0.26×2 works
  16. Energy0.25×1 works
  17. Immunology and Microbiology0.24×1 works
  18. Business, Management and Accounting0.20×2 works
  19. Health Professions0.18×1 works
  20. Agricultural and Biological Sciences0.12×2 works
  21. Social Sciences0.11×4 works
  22. Dentistry0.04×0 works
  23. Arts and Humanities0.02×0 works

Who are the top researchers at Basque Center for Applied Mathematics?

Ranked on the quality score, Zoe Nieraeth, Kangwei Li and Michael Bartoň lead among researchers whose main affiliation is Basque Center for Applied Mathematics.

  1. 1 Zoe Nieraeth Spain · #740,865 worldwide 163 citations · 26 works
  2. 2 Kangwei Li Spain · #796,533 worldwide 786 citations · 99 works
  3. 3 Michael Bartoň Spain · #856,729 worldwide 2k citations · 111 works
  4. 4 Bruno V. Guerrero Spain · #938,556 worldwide 312 citations · 23 works
  5. 5 Tijana Radivojević Spain · #979,356 worldwide 1.2k citations · 37 works
  6. 6 Santiago Mazuelas Spain · #989,306 worldwide 2.7k citations · 107 works
  7. 7 Florencio Balboa Usabiaga Spain · #996,354 worldwide 991 citations · 62 works
  8. 8 Vanessa Steindorf Spain · #1,040,498 worldwide 303 citations · 29 works
  9. 9 Carlos Uriarte Spain · #1,160,090 worldwide 99 citations · 16 works
  10. 10 Gianni Pagnini Spain · #1,175,436 worldwide 3.9k citations · 172 works
All ranked researchers at Basque Center for Applied Mathematics

What are the most cited papers from Basque Center for Applied Mathematics?

The most cited paper from Basque Center for Applied Mathematics is "Automatic Red-Channel underwater image restoration" (Adrián Galdrán, David Pardo, Artzai Picón et al., 2014), with 1,002 citations. Next come "Common principles and best practices for engineering microbiomes" (661) and "Data fusion and machine learning for industrial prognosis: Trends and perspectives towards Industry 4.0" (638).

Most cited papers
#PaperReleasedCitations
1 Automatic Red-Channel underwater image restoration Adrián Galdrán, David Pardo, Artzai Picón et al. · Journal of Visual Communication and Image Representation Open access 21 Nov 2014 1,002
2 Common principles and best practices for engineering microbiomes Christopher E. Lawson, William R. Harcombe, Roland Hatzenpichler et al. · Nature Reviews Microbiology ReviewOpen access 23 Sep 2019 661
3 Data fusion and machine learning for industrial prognosis: Trends and perspectives towards Industry 4.0 Alberto Diez-Olivan, Javier Del Ser, Diego Galar et al. · Information Fusion 15 Oct 2018 638
4 Bio-inspired computation: Where we stand and what's next Javier Del Ser, Eneko Osaba, Daniel Molina et al. · Swarm and Evolutionary Computation Open access 29 Apr 2019 595
5 Deep Learning for Multigrade Brain Tumor Classification in Smart Healthcare Systems: A Prospective Survey Khan Muhammad, Salman Khan, Javier Del Ser et al. · IEEE Transactions on Neural Networks and Learning Systems 30 Jun 2020 405
All 60 most cited papers, with filters and sorting

Which keywords describe research at Basque Center for Applied Mathematics?

By fractional works in 2022-now, weighted toward what it does more of than the world: Deep Learning, Machine Learning, Fluid-Structure Interaction, Nonlinear Equations, Inverse Problems, Infectious Diseases, Calderón–Zygmund Theory and Fourier Multiplier Theorems.

▲ 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-now 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. Deep Learning19▲ 1.85×35 topics
  2. Machine Learning18▲ 1.89×39 topics
  3. Neural Networks10▲ 2.2×16 topics
  4. Fluid-Structure Interaction9▲ 20×5 topics
  5. Nonlinear Equations7▲ 19×5 topics
  6. Inverse Problems7▲ 20×4 topics
  7. Infectious Diseases6▲ 6.8×4 topics
  8. Calderón–Zygmund Theory6▲ 204×1 topic
  9. Fourier Multiplier Theorems6▲ 204×1 topic
  10. Evolutionary Algorithms6▲ 18×4 topics
  11. Boundary Value Problems5▲ 36×3 topics
  12. Quantum Information5▲ 16×3 topics
  13. Entanglement5▲ 12×4 topics
  14. Nonlinear Dynamics5▲ 7.7×5 topics
  15. Symplectic Geometry5▲ 46×2 topics
  16. Tropical Geometry5▲ 51×2 topics
  17. Global Existence5▲ 49×2 topics
  18. Nonlinear Schrödinger Equation4▲ 28×2 topics
  19. Particle Swarm Optimization4▲ 12×3 topics
  20. Adaptive Mesh Refinement4▲ 23×2 topics
  21. High-Order Schemes4▲ 23×2 topics
  22. Solitons4▲ 33×2 topics
  23. Fluid Dynamics4▲ 9.9×5 topics
  24. Porous Media4▲ 11×5 topics
  25. Metaheuristics4▲ 17×3 topics
  26. Compressible Flows4▲ 120×1 topic
  27. Navier-Stokes Equations4▲ 120×1 topic
  28. Partial Differential Equations4▲ 22×2 topics
  29. Stochastic Differential Equations4▲ 20×2 topics
  30. transmission dynamics4▲ 19×1 topic
  31. Global Well-Posedness4▲ 61×1 topic
  32. Numerical Integration4▲ 43×2 topics
  33. Scattering4▲ 61×1 topic
  34. Quantum Simulation3▲ 15×2 topics
  35. Spatial Patterns3▲ 13×2 topics
  36. Structural Analysis3▲ 13×4 topics
  37. Finite Element3▲ 26×2 topics
  38. Fractional Laplacian3▲ 51×1 topic
  39. Phase Transitions3▲ 19×3 topics
  40. Sobolev Spaces3▲ 51×1 topic

Which research topics does Basque Center for Applied Mathematics publish most on?

By volume in 2022-now: Advanced Harmonic Analysis Research, Navier-Stokes equation solutions, COVID-19 epidemiological studies and Advanced Mathematical Physics Problems.

Advanced Harmonic Analys…6Advanced Harmonic Analysis Research: 6 fractional worksNavier-Stokes equation s…4Navier-Stokes equation solutions: 4 fractional worksCOVID-19 epidemiological studies: 4 fractional worksAdvanced Mathematical Physics Problems: 4 fractional worksNonlinear Partial Differential Equations: 3 fractional worksAlgebraic Geometry and Number Theory: 3 fractional worksAdvanced Numerical Analysis Techniques: 3 fractional worksGeometric Analysis and C…3Geometric Analysis and Curvature Flows: 3 fractional worksAdvanced Mathematical Modeling in Engineering: 3 fractional worksModel Reduction and Neural Networks: 3 fractional works
Applied MathematicsModeling and SimulationMathematical PhysicsGeometry and Topology3 others

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

  1. 1 Advanced Harmonic Analysis Research Applied Mathematics 6 works
  2. 2 Navier-Stokes equation solutions Applied Mathematics 4 works
  3. 3 COVID-19 epidemiological studies Modeling and Simulation 4 works
  4. 4 Advanced Mathematical Physics Problems Mathematical Physics 4 works
  5. 5 Nonlinear Partial Differential Equations Applied Mathematics 3 works
  6. 6 Algebraic Geometry and Number Theory Geometry and Topology 3 works
  7. 7 Advanced Numerical Analysis Techniques Computational Mechanics 3 works
  8. 8 Geometric Analysis and Curvature Flows Applied Mathematics 3 works
  9. 9 Advanced Mathematical Modeling in Engineering Computational Theory and Mathematics 3 works
  10. 10 Model Reduction and Neural Networks Statistical and Nonlinear Physics 3 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 available72.1%not open27.9%

World: 40% of research is openly available.

with international co-authors55.6%domestic only44.4%

World: 18% is written across borders.

How has Basque Center for Applied Mathematics's research output changed?

Output in 2022-2025 was 18% higher than in 2018-2021.

still counting1990200020102020
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 Basque Center for Applied Mathematics as a percentage of every work published that year, 0.0010% in 2024.

still counting0.00050%0.0010%0.0015%Basque Center for Applied Mathematics0.0012% in 20251990200020102020

Fractional works of Basque Center for Applied Mathematics 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, against all institutions in the same year.

still counting10%20%30%Basque Center for Applied Mathematics15.2% in 2025all institutions10.0% in 20252020

Of each year's output, the share that reached the world's 10% most cited for its field and year. Peak 20.8% in 2018.

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