Science Explorer Interactive view Map
Research facility · Berlin · Germany

Weierstrass Institute for Applied Analysis and Stochastics

In research, Weierstrass Institute for Applied Analysis and Stochastics stands highest in Physical Sciences (#5,162 of 12,888 worldwide) and Engineering (#5,842 of 6,636 worldwide), 2022–2025. Relative to its size it is most specialised in Mathematics — Mathematics is 17.3× its share of world research.

World rank, 2022–2025
#9,548
of 28,054 · #4,545 all time
Rank in Germany
#378
of 1,178
Research works
2.6k
▼ 34% vs 2013–17
Citations
45k
17.7 per fractional work
Top-10% rate
9.3%
record average 16.5%
Open access
40%
world 28%

What is Weierstrass Institute for Applied Analysis and Stochastics 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 #5,162 of 12,888 8.7%217 #2714
EngineeringField #5,842 of 6,636 6.6%69 #3751

Each strip is that field’s whole ranked pool, with the notch where Weierstrass Institute for Applied Analysis and Stochastics 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 Weierstrass Institute for Applied Analysis and Stochastics specialise in?

Where its research is concentrated relative to its size: Mathematics takes 17.3× the share of its output that it takes of world research.

  1. MathematicsField · 51.2 works17×
← less than its size predictsmore →

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: 0.11× its world share, 1 worksAgricultural and Bio…Biochemistry, Genetics and Molecular Biology: 0.28× its world share, 4 worksBiochemistry, Geneti…Neuroscience: 0.44× its world share, 2 worksNeuroscienceChemical Engineering: 1.31× its world share, 1 worksChemical EngineeringChemistry: 1.06× its world share, 4 worksChemistryComputer Science: 1.85× its world share, 36 worksComputer ScienceEarth and Planetary Sciences: 0.58× its world share, 2 worksEarth and Planetary …Engineering: 1.82× its world share, 69 worksEngineeringEnvironmental Science: 0.20× its world share, 2 worksEnvironmental ScienceMaterials Science: 1.39× its world share, 12 worksMaterials ScienceMathematics: 17.32× its world share, 51 worksMathematicsPhysics and Astronomy: 6.95× its world share, 39 worksPhysics and AstronomyDentistry: 0.18× its world share, 0 worksDentistryHealth Professions: 0.03× its world share, 0 worksHealth ProfessionsMedicine: 0.22× its world share, 10 worksMedicineArts and Humanities: 0.03× its world share, 0 worksArts and HumanitiesDecision Sciences: 3.06× its world share, 7 worksDecision SciencesEconomics, Econometrics and Finance: 1.41× its world share, 8 worksEconomics, Econometr…Psychology: 0.01× its world share, 0 worksPsychologySocial Sciences: 0.04× its world share, 1 worksSocial Sciencesworld share
more than its size predictsabout as predictedless

Rings at 0.5×, and 2×. Widest outward: Mathematics, 17.3×. Every wedge is a field page.

Who are the top researchers at Weierstrass Institute for Applied Analysis and Stochastics?

Ranked on the composite score, Klaus Gärtner, Alexander Mielke and Mindaugas Radziunas lead among researchers whose main affiliation is Weierstrass Institute for Applied Analysis and Stochastics.

  1. 1 Klaus Gärtner Germany · #196,630 worldwide 226 citations · 24 works
  2. 2 Alexander Mielke Germany · #219,813 worldwide 324 citations · 62 works
  3. 3 Mindaugas Radziunas Germany · #248,096 worldwide 137 citations · 54 works
  4. 4 Volker John Germany · #303,266 worldwide 323 citations · 60 works
  5. 5 Peter Mathé Germany · #309,358 worldwide 103 citations · 23 works
  6. 6 Grigori N. Milstein Germany · #320,939 worldwide 90 citations · 26 works
  7. 7 Andreas Rathsfeld Germany · #348,481 worldwide 76 citations · 25 works
  8. 8 Sergei V. Pereverzev Germany · #364,040 worldwide 78 citations · 21 works
  9. 9 A. G. Vladimirov Germany · #384,971 worldwide 217 citations · 65 works
  10. 10 Johannes Elschner Germany · #390,550 worldwide 85 citations · 29 works
All ranked researchers at Weierstrass Institute for Applied Analysis and Stochastics

Which keywords describe research at Weierstrass Institute for Applied Analysis and Stochastics?

By fractional works in 2022–2025, weighted toward what it does more of than the world: Porous Media, Finite Element, Heterogeneous, Multiscale Methods, Monte Carlo Simulation, Adaptive Mesh Refinement, High-Order Schemes and Inverse Problems.

▲ 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. Porous Media14▲ 42×4 topics
  2. Finite Element14▲ 124×2 topics
  3. Heterogeneous13▲ 131×1 topic
  4. Multiscale Methods13▲ 131×1 topic
  5. Monte Carlo Simulation11▲ 22×5 topics
  6. Adaptive Mesh Refinement11▲ 69×2 topics
  7. High-Order Schemes11▲ 69×2 topics
  8. Inverse Problems10▲ 39×4 topics
  9. Fluid-Structure Interaction9▲ 23×4 topics
  10. Convex Optimization9▲ 43×5 topics
  11. Global Existence8▲ 100×2 topics
  12. Discontinuous Galerkin Methods8▲ 134×1 topic
  13. Finite Element Methods8▲ 134×1 topic
  14. Crystal Growth7▲ 11×6 topics
  15. Numerical Methods7▲ 34×3 topics
  16. Nonlinear Equations7▲ 21×4 topics
  17. Nanostructures7▲ 6.6×8 topics
  18. Nonlinear Dynamics6▲ 12×6 topics
  19. Interacting Particle Systems6▲ 200×1 topic
  20. Scaling Limits6▲ 200×1 topic
  21. Feedback Control6▲ 15×2 topics
  22. Semiconductor Lasers6▲ 35×2 topics
  23. Pattern Formation6▲ 59×2 topics
  24. Approximation Algorithms6▲ 33×5 topics
  25. Nonlinear Optics6▲ 21×3 topics
  26. Optical Interconnects6▲ 60×1 topic
  27. Vertical-Cavity Surface-Emitting Lasers (VCSELs)6▲ 60×1 topic
  28. Boundary Value Problems6▲ 44×2 topics
  29. Sensitivity Analysis6▲ 23×3 topics
  30. Radial Basis Functions6▲ 31×2 topics
  31. Fractional Laplacian5▲ 101×1 topic
  32. Nonlinear Systems5▲ 10×3 topics
  33. Semiconductor5▲ 6.3×5 topics
  34. Sobolev Spaces5▲ 101×1 topic
  35. Network Dynamics5▲ 21×3 topics
  36. Synchronization5▲ 18×4 topics
  37. Partial Differential Equations5▲ 39×2 topics
  38. Stability5▲ 9.1×3 topics
  39. Viscoelasticity5▲ 32×4 topics
  40. Composite Materials5▲ 9.8×4 topics

Which research topics does Weierstrass Institute for Applied Analysis and Stochastics publish most on?

By volume in 2022–2025: Advanced Mathematical Modeling in Engineering, Advanced Numerical Methods in Computational Mathematics, Stochastic processes and statistical mechanics and Semiconductor Lasers and Optical Devices.

  1. 1 Advanced Mathematical Modeling in Engineering Computational Theory and Mathematics 13 works
  2. 2 Advanced Numerical Methods in Computational Mathematics Computational Mechanics 8 works
  3. 3 Stochastic processes and statistical mechanics Mathematical Physics 6 works
  4. 4 Semiconductor Lasers and Optical Devices Electrical and Electronic Engineering 6 works
  5. 5 Nonlinear Partial Differential Equations Applied Mathematics 5 works
  6. 6 Navier-Stokes equation solutions Applied Mathematics 5 works
  7. 7 Stochastic processes and financial applications Finance 4 works
  8. 8 Advanced Fiber Laser Technologies Atomic and Molecular Physics, and Optics 4 works
  9. 9 Model Reduction and Neural Networks Statistical and Nonlinear Physics 4 works
  10. 10 Composite Material Mechanics Mechanics of Materials 4 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 available40.3%not open59.7%

World: 28% of research is openly available.

with international co-authors30.2%domestic only69.8%

World: 19% is written across borders.

How has Weierstrass Institute for Applied Analysis and Stochastics's research output changed?

Output in 2018–2022 was 34% 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.

Other research institutions in Berlin

All research institutions in Berlin

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.