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Company · Oxford · United Kingdom

Numerical Algorithms Group (United Kingdom)

In research, Numerical Algorithms Group (United Kingdom) stands highest in Physical Sciences (#6,020 of 17,446 worldwide) and Computer Science (#3,608 of 6,336 worldwide), over all time.

nag.comROR OpenAlex
World rank, all time
#19,303
of 34,923
Rank in United Kingdom
#969
of 1,844
Research works
318
▼ 58% vs 2018-21
Citations
6.9k
21.8 per fractional work
Top-10% rate
3.2%
all institutions 10.0%
vs its own fields
1.01×
1.00× is exactly expected
Open access
36%
world 40%
International
35%
world 18%
Numerical Algorithms Group (United Kingdom)

What is Numerical Algorithms Group (United Kingdom) known for in research?

The fields where it stands highest, over all time, ranked among every institution above the floor in each field.

FieldWorld rankWhere that sitsTop-10% rateWorks
Physical SciencesDomain #6,020 of 17,446 10.4%277
Computer ScienceField #3,608 of 6,336 9.4%137

Each strip is that field's whole ranked pool, with the notch where Numerical Algorithms Group (United Kingdom) 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 fields of science does Numerical Algorithms Group (United Kingdom) work in?

In all years, 87% of research at Numerical Algorithms Group (United Kingdom) is in Physical Sciences, 8% in Social Sciences. Its largest fields are Computer Science (43%), Engineering (23%), Mathematics (11%). It does 2.1× the world's share of Physical Sciences.

Physical Sciences: 277 fractional works · 87.2% of its workComputer Science: 137 fractional works · 43.1% of its workComputational Theory and Mathematics: 50 fractional works · 15.6% of its workComputer Networks and Communications: 28 fractional works · 8.9% of its workHardware and Architecture: 20 fractional works · 6.4% of its workArtificial Intelligence: 16 fractional works · 5.0% of its workComputer Graphics and Computer-Aided Design: 8 fractional works · 2.4% of its workInformation Systems: 6 fractional works · 2.0% of its workComputer Vision and Pattern Recognition: 5 fractional works · 1.5% of its workSoftware: 2 fractional works · 0.5% of its workSignal Processing: 1 fractional works · 0.5% of its workSmaller subfields together: 1 fractional works · 0.3% of its workEngineering: 74 fractional works · 23.4% of its workComputational Mechanics: 31 fractional works · 9.8% of its workElectrical and Electronic Engineering: 9 fractional works · 2.7% of its workControl and Systems Engineering: 7 fractional works · 2.2% of its workMechanical Engineering: 5 fractional works · 1.5% of its workBiomedical Engineering: 5 fractional works · 1.4% of its workMechanics of Materials: 3 fractional works · 1.1% of its workIndustrial and Manufacturing Engineering: 3 fractional works · 1.0% of its workCivil and Structural Engineering: 2 fractional works · 0.7% of its workAerospace Engineering: 2 fractional works · 0.7% of its workOcean Engineering: 2 fractional works · 0.7% of its workAutomotive Engineering: 2 fractional works · 0.6% of its workArchitecture: 2 fractional works · 0.5% of its workBuilding and Construction: 1 fractional works · 0.4% of its workSmaller subfields together: 1 fractional works · 0.2% of its workMathematics: 35 fractional works · 11.1% of its workNumerical Analysis: 18 fractional works · 5.7% of its workApplied Mathematics: 6 fractional works · 1.9% of its workStatistics and Probability: 3 fractional works · 1.0% of its workMathematical Physics: 3 fractional works · 0.9% of its workGeometry and Topology: 2 fractional works · 0.7% of its workTheoretical Computer Science: 2 fractional works · 0.6% of its workSmaller subfields together: 1 fractional works · 0.3% of its workPhysics and Astronomy: 19 fractional works · 5.8% of its workAtomic and Molecular Physics, and Optics: 9 fractional works · 2.7% of its workStatistical and Nonlinear Physics: 6 fractional works · 1.8% of its workNuclear and High Energy Physics: 2 fractional works · 0.5% of its workCondensed Matter Physics: 1 fractional works · 0.4% of its workRadiation: 1 fractional works · 0.3% of its workSmaller subfields together: 0 fractional works · 0.1% of its workMaterials Science: 5 fractional works · 1.5% of its workMaterials Chemistry: 3 fractional works · 0.8% of its workElectronic, Optical and Magnetic Materials: 1 fractional works · 0.3% of its workSmaller subfields together: 1 fractional works · 0.4% of its workEarth and Planetary Sciences: 4 fractional works · 1.1% of its workAtmospheric Science: 2 fractional works · 0.5% of its workGeophysics: 1 fractional works · 0.3% of its workOceanography: 1 fractional works · 0.2% of its workSmaller subfields together: 0 fractional works · 0.1% of its workEnvironmental Science: 3 fractional works · 0.8% of its workGlobal and Planetary Change: 1 fractional works · 0.2% of its workEnvironmental Engineering: 1 fractional works · 0.2% of its workSmaller subfields together: 1 fractional works · 0.4% of its workChemistry: 1 fractional works · 0.3% of its workChemical Engineering: 0 fractional works · 0.1% of its workSocial Sciences: 26 fractional works · 8.2% of its workDecision Sciences: 9 fractional works · 3.0% of its workManagement Science and Operations Research: 6 fractional works · 1.7% of its workInformation Systems and Management: 3 fractional works · 1.0% of its workSmaller subfields together: 1 fractional works · 0.2% of its workArts and Humanities: 5 fractional works · 1.5% of its workPhilosophy: 2 fractional works · 0.8% of its workVisual Arts and Performing Arts: 1 fractional works · 0.3% of its workLanguage and Linguistics: 1 fractional works · 0.2% of its workSmaller subfields together: 1 fractional works · 0.2% of its workSocial Sciences: 5 fractional works · 1.4% of its workSafety Research: 1 fractional works · 0.4% of its workGeography, Planning and Development: 1 fractional works · 0.3% of its workLinguistics and Language: 1 fractional works · 0.3% of its workSmaller subfields together: 1 fractional works · 0.4% of its workEconomics, Econometrics and Finance: 4 fractional works · 1.2% of its workFinance: 2 fractional works · 0.6% of its workEconomics and Econometrics: 2 fractional works · 0.5% of its workSmaller subfields together: 0 fractional works · 0.1% of its workPsychology: 2 fractional works · 0.7% of its workDevelopmental and Educational Psychology: 1 fractional works · 0.4% of its workSmaller subfields together: 1 fractional works · 0.2% of its workBusiness, Management and Accounting: 1 fractional works · 0.4% of its workManagement Information Systems: 1 fractional works · 0.4% of its workSmaller subfields together: 0 fractional works · 0.1% of its workHealth Sciences: 9 fractional works · 2.9% of its workMedicine: 5 fractional works · 1.5% of its workCardiology and Cardiovascular Medicine: 1 fractional works · 0.3% of its workSurgery: 1 fractional works · 0.2% of its workSmaller subfields together: 3 fractional works · 0.9% of its workHealth Professions: 4 fractional works · 1.4% of its workGeneral Health Professions: 4 fractional works · 1.4% of its workSmaller subfields together: 0 fractional works · 0.1% of its workDentistry: 0 fractional works · 0.1% of its workLife Sciences: 5 fractional works · 1.7% of its workNeuroscience: 3 fractional works · 0.9% of its workCognitive Neuroscience: 2 fractional works · 0.7% of its workSmaller subfields together: 1 fractional works · 0.2% of its workAgricultural and Biological Sciences: 1 fractional works · 0.4% of its workPlant Science: 1 fractional works · 0.4% of its workSmaller subfields together: 0 fractional works · 0.1% of its workBiochemistry, Genetics and Molecular Biology: 1 fractional works · 0.4% of its workMolecular Biology: 1 fractional works · 0.3% of its workSmaller subfields together: 0 fractional works · 0.0% of its workALL ITS WORKNumericalAlgorithms Group…318fractional works, all years
Life Sciences2%Physical Sciences87%Health Sciences3%Social Sciences8%

Each ring splits the one inside it: the four domains of science, their fields, their subfields. Size is fractional works in all years. 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 21 fields, with their numbers
    1. Computer Science13743.1%
    2. Engineering7423.4%
    3. Mathematics3511.1%
    4. Physics and Astronomy195.8%
    5. Materials Science51.5%
    6. Earth and Planetary Sciences41.1%
    7. Environmental Science30.8%
    8. Chemistry10.3%
    9. Chemical Engineering00.1%
    1. Decision Sciences93.0%
    2. Arts and Humanities51.5%
    3. Social Sciences51.4%
    4. Economics, Econometrics and Finance41.2%
    5. Psychology20.7%
    6. Business, Management and Accounting10.4%
    1. Medicine51.5%
    2. Health Professions41.4%
    3. Dentistry00.1%
    1. Neuroscience30.9%
    2. Agricultural and Biological Sciences10.4%
    3. Biochemistry, Genetics and Molecular Biology10.4%
All of science, and how each field's share has moved since 1950: the Science domain explorer

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.

Biochemistry, Genetics and Molecular Biology: 0.35× its world share, 0 worksBiochemistry, Geneti…Neuroscience: 0.48× its world share, 0 worksNeuroscienceComputer Science: 4.64× its world share, 3 worksComputer ScienceEarth and Planetary Sciences: 1.07× its world share, 0 worksEarth and Planetary …Engineering: 1.58× its world share, 2 worksEngineeringMathematics: 2.50× its world share, 0 worksMathematicsPhysics and Astronomy: 3.71× its world share, 1 worksPhysics and AstronomyDentistry: 4.05× its world share, 0 worksDentistryHealth Professions: 0.74× its world share, 0 worksHealth ProfessionsMedicine: 0.89× its world share, 2 worksMedicineDecision Sciences: 1.35× its world share, 0 worksDecision SciencesPsychology: 0.77× its world share, 0 worksPsychology1×world share
more than its size predictsabout as predictedless

Rings at 0.5×, 1× and 2×. Widest outward: Computer Science, 4.6×. Every wedge is a field page.

All 12 fields, with their numbers
  1. Computer Science4.64×3 works
  2. Dentistry4.05×0 works
  3. Physics and Astronomy3.71×1 works
  4. Mathematics2.50×0 works
  5. Engineering1.58×2 works
  6. Decision Sciences1.35×0 works
  7. Earth and Planetary Sciences1.07×0 works
  8. Medicine0.89×2 works
  9. Psychology0.77×0 works
  10. Health Professions0.74×0 works
  11. Neuroscience0.48×0 works
  12. Biochemistry, Genetics and Molecular Biology0.35×0 works

Who are the top researchers at Numerical Algorithms Group (United Kingdom)?

Ranked on the quality score, Sven J. Hammarling, Jeremy Du Croz and Malcolm A. Sabin lead among researchers whose main affiliation is Numerical Algorithms Group (United Kingdom).

  1. 1 Sven J. Hammarling United Kingdom · #318,216 worldwide 7.1k citations · 91 works
  2. 2 Jeremy Du Croz United Kingdom · #808,742 worldwide 4.5k citations · 27 works
  3. 3 Malcolm A. Sabin United Kingdom · #1,445,955 worldwide 4.6k citations · 199 works
  4. 4 Mawussi Zounon United Kingdom · #1,576,102 worldwide 474 citations · 39 works
  5. 5 Emmanuel Agullo United Kingdom · #2,810,367 worldwide 1.8k citations · 186 works
  6. 6 Malcolm J. Cohen United Kingdom · #2,851,492 worldwide 87 citations · 22 works
  7. 7 B. L. Shea United Kingdom · #3,720,012 worldwide 205 citations · 15 works
  8. 8 George Levy United Kingdom · #3,787,664 worldwide 234 citations · 40 works
  9. 9 Adrian Tate United Kingdom · #3,818,764 worldwide 86 citations · 15 works
  10. 10 Stojce Nakov United Kingdom · #4,014,336 worldwide 18 citations · 18 works
All ranked researchers at Numerical Algorithms Group (United Kingdom)

What are the most cited papers from Numerical Algorithms Group (United Kingdom)?

The most cited paper from Numerical Algorithms Group (United Kingdom) is "A set of level 3 basic linear algebra subprograms" (Jack J. Dongarra, Jeremy Du Croz, Sven J. Hammarling et al., 1990), with 1,843 citations. Next come "An extended set of FORTRAN basic linear algebra subprograms" (900) and "Optimum Aerodynamic Design Using the Navier-Stokes Equations" (585).

Most cited papers
#PaperReleasedCitations
1 A set of level 3 basic linear algebra subprograms Jack J. Dongarra, Jeremy Du Croz, Sven J. Hammarling et al. · ACM Transactions on Mathematical Software Open access Mar 1990 1,843
2 An extended set of FORTRAN basic linear algebra subprograms Jack J. Dongarra, Jeremy Du Croz, Sven J. Hammarling et al. · ACM Transactions on Mathematical Software Open access Mar 1988 900
3 Optimum Aerodynamic Design Using the Navier-Stokes Equations A. Jameson, L. Martinelli, Niles A. Pierce · Theoretical and Computational Fluid Dynamics 1998 585
4 Numerical recipes: The art of scientific computing Peter Frolkovič · Acta Applicandae Mathematicae Jun 1990 568
5 STIR: software for tomographic image reconstruction release 2 Kris Thielemans, Charalampos Tsoumpas, Sanida Mustafovic et al. · Physics in Medicine and Biology Open access 31 Jan 2012 477
All 59 most cited papers, with filters and sorting

Which keywords describe research at Numerical Algorithms Group (United Kingdom)?

By fractional works in all years, weighted toward what it does more of than the world: Parallel Computing, High-Performance Computing, Iterative Methods, Matrix Computations, Numerical Linear Algebra, Fluid-Structure Interaction, Distributed Systems and GPU Computing.

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

Size is fractional works in all years 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. Parallel Computing48▲ 84×4 topics
  2. High-Performance Computing33▲ 70×2 topics
  3. Iterative Methods24▲ 122×2 topics
  4. Matrix Computations22▲ 153×1 topic
  5. Numerical Linear Algebra22▲ 153×1 topic
  6. Fluid-Structure Interaction20▲ 36×5 topics
  7. Distributed Systems18▲ 24×5 topics
  8. GPU Computing18▲ 80×1 topic
  9. Performance Optimization18▲ 56×1 topic
  10. Workflow Management18▲ 58×2 topics
  11. Resource Management16▲ 29×2 topics
  12. Machine Learning15▲ 2.2×26 topics
  13. Grid Computing15▲ 71×1 topic
  14. Task Scheduling15▲ 71×1 topic
  15. Adaptive Mesh Refinement14▲ 49×2 topics
  16. High-Order Schemes14▲ 49×2 topics
  17. Boundary Element Method14▲ 63×2 topics
  18. Discontinuous Galerkin Methods10▲ 92×1 topic
  19. Finite Element Methods10▲ 92×1 topic
  20. Floating-Point Arithmetic9▲ 182×1 topic
  21. Interval Analysis9▲ 182×1 topic
  22. Structural Analysis9▲ 18×2 topics
  23. Finite Elements9▲ 73×1 topic
  24. NURBS9▲ 73×1 topic
  25. Differential Equations8▲ 77×2 topics
  26. Hamiltonian Systems8▲ 59×2 topics
  27. Numerical Integration8▲ 62×2 topics
  28. Exponential Integrators8▲ 78×1 topic
  29. Symplectic Methods8▲ 78×1 topic
  30. Convex Optimization8▲ 32×5 topics
  31. Maxwell's Equations8▲ 42×2 topics
  32. Visualization8▲ 42×2 topics
  33. Semidefinite Programming7▲ 50×2 topics
  34. Simulation7▲ 6.5×5 topics
  35. Math Search7▲ 234×1 topic
  36. Mathematical Information Retrieval7▲ 234×1 topic
  37. Global Optimization6▲ 32×2 topics
  38. Distributed Storage6▲ 47×1 topic
  39. Network Coding6▲ 23×1 topic
  40. Nonlinear Programming6▲ 70×1 topic

Which research topics does Numerical Algorithms Group (United Kingdom) publish most on?

By volume in 2022-now: Distributed and Parallel Computing Systems, Hydrocarbon exploration and reservoir analysis, Fault Detection and Control Systems and Matrix Theory and Algorithms.

Distributed and Parallel…0Distributed and Parallel Computing Systems: 0 fractional worksHydrocarbon exploration …0Hydrocarbon exploration and reservoir analysis: 0 fractional worksFault Detection and Control Systems: 0 fractional worksMatrix Theory and Algori…0Matrix Theory and Algorithms: 0 fractional worksParallel Computing and O…0Parallel Computing and Optimization Techniques: 0 fractional worksRadiomics and Machine Le…0Radiomics and Machine Learning in Medical Imaging: 0 fractional worksReservoir Engineering an…0Reservoir Engineering and Simulation Methods: 0 fractional worksRadiation Therapy and Dosimetry: 0 fractional worksDental Anxiety and Anesthesia Techniques: 0 fractional worksNumerical Methods and Al…0Numerical Methods and Algorithms: 0 fractional works
Computer Networks and CommunicationsMechanics of MaterialsControl and Systems EngineeringComputational Theory and Mathematics5 others

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

  1. 1 Distributed and Parallel Computing Systems Computer Networks and Communications 0 works
  2. 2 Hydrocarbon exploration and reservoir analysis Mechanics of Materials 0 works
  3. 3 Fault Detection and Control Systems Control and Systems Engineering 0 works
  4. 4 Matrix Theory and Algorithms Computational Theory and Mathematics 0 works
  5. 5 Parallel Computing and Optimization Techniques Hardware and Architecture 0 works
  6. 6 Radiomics and Machine Learning in Medical Imaging Radiology, Nuclear Medicine and Imaging 0 works
  7. 7 Reservoir Engineering and Simulation Methods Ocean Engineering 0 works
  8. 8 Radiation Therapy and Dosimetry Pulmonary and Respiratory Medicine 0 works
  9. 9 Dental Anxiety and Anesthesia Techniques Oral Surgery 0 works
  10. 10 Numerical Methods and Algorithms Computational Theory and Mathematics 0 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 available36.3%not open63.7%

World: 40% of research is openly available.

with international co-authors34.8%domestic only65.2%

World: 18% is written across borders.

How has Numerical Algorithms Group (United Kingdom)'s research output changed?

Output in 2022-2025 was 58% lower 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 Numerical Algorithms Group (United Kingdom) as a percentage of every work published that year, 0.000021% in 2024.

still counting0.0020%0.0040%Numerical Algorithms Group (United Kingdom)0.000025% in 202519801990200020102020

Fractional works of Numerical Algorithms Group (United Kingdom) over all fractional works that year. How the balance of science has shifted.

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