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Tosio Kato

Tosio Kato publishes mostly in Mathematical Physics, Computational Theory and Mathematics and Applied Mathematics, on topics such as Spectral Theory in Mathematical Physics, Matrix Theory and Algorithms and Advanced Mathematical Modeling in Engineering.

World rank
#10,266
of 1,633,909 ranked researchers
Rank in United States
#4,948
of 358,040
Works
48
Citations
1.5k
Citations per work
31.6

What does Tosio Kato research?

Mathematical Physics: 27.5%Computational Theory and Mathematics: 17.6%Applied Mathematics: 17.6%Numerical Analysis: 7.8%other fields: 29.5%28%top field
Mathematical Physics27.5%Computational Theory and Mathematics17.6%Applied Mathematics17.6%Numerical Analysis7.8%other fields29.5%

Shares of their own output, by the field each of their topics belongs to. The grey slice is everything not listed.

  1. 1Mathematical Physics28% of their works
  2. 2Computational Theory and Mathematics18% of their works
  3. 3Applied Mathematics18% of their works
  4. 4Numerical Analysis8% of their works
  5. 5Computational Mechanics6% of their works
  6. 6Control and Systems Engineering6% of their works

Research topics

Which keywords describe Tosio Kato's research?

The keywords of their largest research topics: Differential Operators, Spectral Theory, Matrix Computations, Numerical Linear Algebra, Heterogeneous, Multiscale Methods, Composition Operators and Compressible 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
  1. Differential Operators81 topic
  2. Spectral Theory81 topic
  3. Matrix Computations51 topic
  4. Numerical Linear Algebra51 topic
  5. Heterogeneous41 topic
  6. Multiscale Methods41 topic
  7. Composition Operators31 topic
  8. Compressible Flows31 topic
  9. Inverse Problems31 topic
  10. Navier-Stokes Equations31 topic
  11. Regularization Methods31 topic
  12. Weighted Spaces31 topic
  13. Global Well-Posedness21 topic
  14. Nonlinear Schrödinger Equation21 topic
  15. Turbulent Flows21 topic
  16. Vortex Dynamics21 topic

Where does Tosio Kato work?

Tosio Kato's main affiliation in the publication record is University of California, Berkeley, United States.

How many publications and citations does Tosio Kato have?

Science Explorer counts 48 works and 1,518 citations for Tosio Kato, ranking #10,266 of 1,633,909 researchers worldwide on the composite 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.

Papers, co-authors, who cited this work and researchers on the nearest topics are in the interactive view on the map. Is this your page? Request a correction or removal.