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.
| Field | World rank | Where that sits | Top-10% rate | Works | All 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.
- MathematicsField · 51.2 works17×
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.
Rings at 0.5×, 1× and 2×. Widest outward: Mathematics, 17.3×. Every wedge is a field page.
- Mathematics 17.3×
- Physics and Astronomy 7.0×
- Decision Sciences 3.1×
- Computer Science 1.9×
- Engineering 1.8×
- Economics, Econometrics and Finance 1.4×
- Materials Science 1.4×
- Chemical Engineering 1.3×
- Chemistry 1.1×
- Earth and Planetary Sciences 0.6×
- Neuroscience 0.4×
- Biochemistry, Genetics and Molecular Biology 0.3×
- Medicine 0.2×
- Environmental Science 0.2×
- Dentistry 0.2×
- Agricultural and Biological Sciences 0.1×
- Social Sciences 0.0×
- Health Professions 0.0×
- Arts and Humanities 0.0×
- Psychology 0.0×
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 Klaus Gärtner Germany · #196,630 worldwide 226 citations · 24 works
- 2 Alexander Mielke Germany · #219,813 worldwide 324 citations · 62 works
- 3 Mindaugas Radziunas Germany · #248,096 worldwide 137 citations · 54 works
- 4 Volker John Germany · #303,266 worldwide 323 citations · 60 works
- 5 Peter Mathé Germany · #309,358 worldwide 103 citations · 23 works
- 6 Grigori N. Milstein Germany · #320,939 worldwide 90 citations · 26 works
- 7 Andreas Rathsfeld Germany · #348,481 worldwide 76 citations · 25 works
- 8 Sergei V. Pereverzev Germany · #364,040 worldwide 78 citations · 21 works
- 9 A. G. Vladimirov Germany · #384,971 worldwide 217 citations · 65 works
- 10 Johannes Elschner Germany · #390,550 worldwide 85 citations · 29 works
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.
- Composite Materials
- Stability
- Synchronization
- Sobolev Spaces
- Nonlinear Systems
- Radial Basis Functions
- Boundary Value Problems
- Optical Interconnects
- Approximation Algorithms
- Semiconductor Lasers
- Scaling Limits
- Nonlinear Dynamics
- Nonlinear Equations
- Crystal Growth
- Discontinuous Galerkin Methods
- Convex Optimization
- Inverse Problems
- Adaptive Mesh Refinement
- Multiscale Methods
- Finite Element
- Porous Media
- Heterogeneous
- Monte Carlo Simulation
- High-Order Schemes
- Fluid-Structure Interaction
- Global Existence
- Finite Element Methods
- Numerical Methods
- Nanostructures
- Interacting Particle Systems
- Feedback Control
- Pattern Formation
- Nonlinear Optics
- Vertical-Cavity Surface-Emitting Lasers (VCSELs)
- Sensitivity Analysis
- Fractional Laplacian
- Semiconductor
- Network Dynamics
- Partial Differential Equations
- Viscoelasticity
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
- Porous Media14▲ 42×4 topics
- Finite Element14▲ 124×2 topics
- Heterogeneous13▲ 131×1 topic
- Multiscale Methods13▲ 131×1 topic
- Monte Carlo Simulation11▲ 22×5 topics
- Adaptive Mesh Refinement11▲ 69×2 topics
- High-Order Schemes11▲ 69×2 topics
- Inverse Problems10▲ 39×4 topics
- Fluid-Structure Interaction9▲ 23×4 topics
- Convex Optimization9▲ 43×5 topics
- Global Existence8▲ 100×2 topics
- Discontinuous Galerkin Methods8▲ 134×1 topic
- Finite Element Methods8▲ 134×1 topic
- Crystal Growth7▲ 11×6 topics
- Numerical Methods7▲ 34×3 topics
- Nonlinear Equations7▲ 21×4 topics
- Nanostructures7▲ 6.6×8 topics
- Nonlinear Dynamics6▲ 12×6 topics
- Interacting Particle Systems6▲ 200×1 topic
- Scaling Limits6▲ 200×1 topic
- Feedback Control6▲ 15×2 topics
- Semiconductor Lasers6▲ 35×2 topics
- Pattern Formation6▲ 59×2 topics
- Approximation Algorithms6▲ 33×5 topics
- Nonlinear Optics6▲ 21×3 topics
- Optical Interconnects6▲ 60×1 topic
- Vertical-Cavity Surface-Emitting Lasers (VCSELs)6▲ 60×1 topic
- Boundary Value Problems6▲ 44×2 topics
- Sensitivity Analysis6▲ 23×3 topics
- Radial Basis Functions6▲ 31×2 topics
- Fractional Laplacian5▲ 101×1 topic
- Nonlinear Systems5▲ 10×3 topics
- Semiconductor5▲ 6.3×5 topics
- Sobolev Spaces5▲ 101×1 topic
- Network Dynamics5▲ 21×3 topics
- Synchronization5▲ 18×4 topics
- Partial Differential Equations5▲ 39×2 topics
- Stability5▲ 9.1×3 topics
- Viscoelasticity5▲ 32×4 topics
- 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.
Area is fractional works; colour is the subfield each topic belongs to.
- 1 Advanced Mathematical Modeling in Engineering Computational Theory and Mathematics 13 works
- 2 Advanced Numerical Methods in Computational Mathematics Computational Mechanics 8 works
- 3 Stochastic processes and statistical mechanics Mathematical Physics 6 works
- 4 Semiconductor Lasers and Optical Devices Electrical and Electronic Engineering 6 works
- 5 Nonlinear Partial Differential Equations Applied Mathematics 5 works
- 6 Navier-Stokes equation solutions Applied Mathematics 5 works
- 7 Stochastic processes and financial applications Finance 4 works
- 8 Advanced Fiber Laser Technologies Atomic and Molecular Physics, and Optics 4 works
- 9 Model Reduction and Neural Networks Statistical and Nonlinear Physics 4 works
- 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.
World: 28% of research is openly available.
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.
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
- Freie Universität Berlin
- Technische Universität Berlin
- Humboldt-Universität zu Berlin
- Charité - Universitätsmedizin Berlin
- Fritz Haber Institute of the Max Planck Society
- Federal Institute For Materials Research and Testing
- Fraunhofer Institute for Telecommunications, Heinrich Hertz Institute
- Robert Koch Institute
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.