Louis Nirenberg
Louis Nirenberg publishes mostly in Applied Mathematics, Computational Theory and Mathematics and Numerical Analysis, on topics such as Advanced Mathematical Modeling in Engineering, Nonlinear Partial Differential Equations and Differential Equations and Numerical Methods.
- World rank
- #8,845 of 7,710,434 ranked researchers
- Rank in United States
- #3,042 of 1,627,098
- Works
- 213
- Citations
- 34k
- Citations per work
- 160.0
What does Louis Nirenberg research?
Louis Nirenberg's work is mostly in Mathematics (61%), Computer Science (17%), Engineering (6%).
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 Sciences17983.9%
- Mathematics13060.9%
- Computer Science3616.9%
- Engineering136.1%
- Everything else3416.1%
- 1Applied Mathematics31% of their works
- 2Computational Theory and Mathematics17% of their works
- 3Numerical Analysis13% of their works
- 4Mathematical Physics10% of their works
- 5Geometry and Topology7% of their works
- 6Computational Mechanics6% of their works
Research topics
- Advanced Mathematical Modeling in Engineering
- Nonlinear Partial Differential Equations
- Differential Equations and Numerical Methods
- Differential Equations and Boundary Problems
- Numerical methods for differential equations
- Physics and Engineering Research Articles
- Advanced Harmonic Analysis Research
- Nonlinear Differential Equations Analysis
Which keywords describe Louis Nirenberg's research?
The keywords of their largest research topics: Heterogeneous, Multiscale Methods, Boundary Value Problems, Fractional Laplacian, Sobolev Spaces, Numerical Methods, Singular Perturbation and Nonlocal.
- Fractional Differential Equations
- Calderón–Zygmund Theory
- Fluid Dynamics
- Differential Equations
- Nonlocal
- Numerical Methods
- Fractional Laplacian
- Multiscale Methods
- Heterogeneous
- Boundary Value Problems
- Sobolev Spaces
- Singular Perturbation
- Partial Differential Equations
- Numerical Integration
- Renewable Energy
- Fourier Multiplier Theorems
- Semilinear Differential Equations
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. The words come from the keyword list OpenAlex gives each topic, not from the text of the papers, so a word can appear that none of the papers uses.
All 17 words, with their numbers
- Heterogeneous741 topic
- Multiscale Methods741 topic
- Boundary Value Problems492 topics
- Fractional Laplacian491 topic
- Sobolev Spaces491 topic
- Numerical Methods361 topic
- Singular Perturbation361 topic
- Nonlocal341 topic
- Partial Differential Equations341 topic
- Differential Equations281 topic
- Numerical Integration281 topic
- Fluid Dynamics181 topic
- Renewable Energy181 topic
- Calderón–Zygmund Theory171 topic
- Fourier Multiplier Theorems171 topic
- Fractional Differential Equations151 topic
- Semilinear Differential Equations151 topic
Where does Louis Nirenberg work?
Louis Nirenberg's main affiliation in the publication record is Courant Institute of Mathematical Sciences, United States.
How many publications and citations does Louis Nirenberg have?
OpenAlex counts 213 works and 34,084 citations for Louis Nirenberg, an h-index of 69, ranking #8,845 of 7,710,434 researchers worldwide on the quality score.
Ranked on field-normalised citation 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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