Alexander Polkovnikov
Alexander Polkovnikov publishes mostly in Applied Mathematics, Mathematical Physics and Computational Theory and Mathematics, on topics such as Advanced Mathematical Modeling in Engineering, Differential Equations and Boundary Problems and Numerical methods in inverse problems.
- World rank
- #6,196,932 of 7,710,434 ranked researchers
- Rank in Russia
- #68,566 of 179,717
- Works
- 15
- Citations
- 15
- Citations per work
- 1.0
What does Alexander Polkovnikov research?
Alexander Polkovnikov's work is mostly in Mathematics (69%), Computer Science (24%), Engineering (4%).
Their six largest subfields, inside their fields and domains; the grey slice is everything else they publish. The interactive view splits every one of their works down to single topics.
The fields and subfields, with their numbers
- Physical Sciences1597.7%
- Mathematics1068.9%
- Computer Science424.4%
- Engineering14.4%
- 1Applied Mathematics36% of their works
- 2Mathematical Physics33% of their works
- 3Computational Theory and Mathematics22% of their works
- 4Artificial Intelligence2% of their works
- 5Mechanics of Materials2% of their works
- 6Computational Mechanics2% of their works
Research topics
- Advanced Mathematical Modeling in Engineering
- Differential Equations and Boundary Problems
- Numerical methods in inverse problems
- Nonlinear Partial Differential Equations
- Advanced Mathematical Physics Problems
- Spectral Theory in Mathematical Physics
- Stochastic Gradient Optimization Techniques
- Fluid Dynamics and Turbulent Flows
Which keywords describe Alexander Polkovnikov's research?
The keywords of their largest research topics: Heterogeneous, Multiscale Methods, Inverse Problems, Nonlocal, Partial Differential Equations, Regularization Methods, Fractional Laplacian and Sobolev Spaces.
- Vortex Dynamics
- Stochastic Gradient Descent
- Spectral Theory
- Nonlinear Schrödinger Equation
- Sobolev Spaces
- Regularization Methods
- Nonlocal
- Multiscale Methods
- Heterogeneous
- Inverse Problems
- Partial Differential Equations
- Fractional Laplacian
- Global Well-Posedness
- Differential Operators
- Random Projections
- Turbulent Flows
Size is their works in the topics tagged with each word, from their 8 largest topics. Each links to the topic it comes from most.
All 16 words, with their numbers
- Heterogeneous101 topic
- Multiscale Methods101 topic
- Inverse Problems71 topic
- Nonlocal71 topic
- Partial Differential Equations71 topic
- Regularization Methods71 topic
- Fractional Laplacian51 topic
- Sobolev Spaces51 topic
- Global Well-Posedness41 topic
- Nonlinear Schrödinger Equation41 topic
- Differential Operators31 topic
- Spectral Theory31 topic
- Random Projections11 topic
- Stochastic Gradient Descent11 topic
- Turbulent Flows11 topic
- Vortex Dynamics11 topic
Where does Alexander Polkovnikov work?
Alexander Polkovnikov's main affiliation in the publication record is Siberian Federal University, Russia.
How many publications and citations does Alexander Polkovnikov have?
OpenAlex counts 15 works and 15 citations for Alexander Polkovnikov, an h-index of 2, ranking #6,196,932 of 7,710,434 researchers worldwide on the quality score.
Ranked on field-normalised excellence (50%), output (30%) and citations (20%). Counts come from OpenAlex author records, which occasionally merge different people who share a name or split one person into several.
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