Tosio Kato
Tosio Kato publishes mostly in Mathematical Physics, Applied Mathematics and Computational Theory and Mathematics, on topics such as Spectral Theory in Mathematical Physics, Matrix Theory and Algorithms and Advanced Mathematical Modeling in Engineering.
- World rank
- #18,563 of 7,710,434 ranked researchers
- Rank in United States
- #6,690 of 1,627,098
- Works
- 192
- Citations
- 51k
- Citations per work
- 267.6
What does Tosio Kato research?
Tosio Kato's work is mostly in Mathematics (53%), Computer Science (16%), Physics and Astronomy (11%).
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 Sciences15580.5%
- Mathematics10252.9%
- Computer Science3116.4%
- Physics and Astronomy2211.2%
- Everything else3719.5%
- 1Mathematical Physics24% of their works
- 2Applied Mathematics20% of their works
- 3Computational Theory and Mathematics16% of their works
- 4Numerical Analysis9% of their works
- 5Statistical and Nonlinear Physics7% of their works
- 6Atomic and Molecular Physics, and Optics4% of their works
Research topics
Which keywords describe Tosio Kato's research?
The keywords of their largest research topics: Differential Operators, Spectral Theory, Numerical Methods, Matrix Computations, Numerical Linear Algebra, Heterogeneous, Multiscale Methods and Composition Operators.
- Quantum Chaos
- Inverse Problems
- Global Well-Posedness
- Convection-Diffusion Problems
- Composition Operators
- Heterogeneous
- Matrix Computations
- Spectral Theory
- Differential Operators
- Numerical Methods
- Numerical Linear Algebra
- Multiscale Methods
- Weighted Spaces
- Singular Perturbation
- Nonlinear Schrödinger Equation
- Lagrangian Coherent Structures
- Regularization Methods
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 17 words, with their numbers
- Differential Operators521 topic
- Spectral Theory521 topic
- Numerical Methods382 topics
- Matrix Computations371 topic
- Numerical Linear Algebra371 topic
- Heterogeneous331 topic
- Multiscale Methods331 topic
- Composition Operators241 topic
- Weighted Spaces241 topic
- Convection-Diffusion Problems221 topic
- Singular Perturbation221 topic
- Global Well-Posedness191 topic
- Nonlinear Schrödinger Equation191 topic
- Inverse Problems161 topic
- Lagrangian Coherent Structures161 topic
- Quantum Chaos161 topic
- Regularization Methods161 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?
OpenAlex counts 192 works and 51,382 citations for Tosio Kato, an h-index of 67, ranking #18,563 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.
Papers, co-authors, who cited this work and researchers on the nearest topics have tabs of their own, above. Is this your page? Claim it with your ORCID iD, or request a correction or removal.
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