Iterative Methods for Nonlinear Equations
Iterative Methods for Nonlinear Equations is a research topic within Numerical Analysis. Science Explorer counts 17k research works in it since 1950. 13.4% of them reached the world's top 10% most cited for their field and year.
This cluster of papers focuses on the convergence analysis and improvement of iterative methods, particularly Newton's method, for solving nonlinear equations. It explores higher-order methods, quadrature formulas, local convergence in Banach spaces, and derivative-free approaches to handle multiple roots.
- Newton's Method
- Iterative Methods
- Convergence Analysis
- Nonlinear Equations
- Higher-Order Methods
- Quadrature Formulas
- Local Convergence
- Multiple Roots
- Derivative-Free Methods
- Banach Spaces
- Research works
- 17k fractional, since 1950
- In the world top 10%
- 2.3k per year above
- Top-10% rate
- 13.4% share of its works in the world top 10%
- Growth, 2013–17 → 2018–22
- +23% the tick is no change
Which countries lead Iterative Methods for Nonlinear Equations research?
By volume, India and China publish the most (371 and 329 works in 2022–2025).
By volume, 2022–2025
- 1 India 371 works
- 2 China 329 works
- 3 United States 155 works
- 4 Türkiye 125 works
- 5 Iran 124 works
- 6 Iraq 122 works
- 7 Saudi Arabia 117 works
- 8 Pakistan 83 works
- 9 Russia 75 works
- 10 Nigeria 62 works
How concentrated that is
The same countries as shares of everything the list above accounts for. A node where two countries do two thirds of the work and one spread evenly across twelve read alike as a ranking and not at all alike here.
Shares of the rows listed above, not of the whole node.
Which institutions lead Iterative Methods for Nonlinear Equations research?
By volume in 2022–2025, University of Mosul publishes the most Iterative Methods for Nonlinear Equations research, followed by Cameron University and Universitat Politècnica de València.
By volume, 2022–2025
- 1 University of MosulIraq 23 works
- 2 Cameron UniversityUnited States 20 works
- 3 Universitat Politècnica de ValènciaSpain 15 works
- 4 National Institute of Technology KarnatakaIndia 14 works
- 5 King Saud UniversitySaudi Arabia 13 works
- 6 King Abdulaziz UniversitySaudi Arabia 13 works
- 7 Zarqa UniversityJordan 12 works
- 8 University of BaghdadIraq 11 works
- 9 Bohai UniversityChina 10 works
- 10 Thi Qar UniversityIraq 10 works
Who are the leading researchers in Iterative Methods for Nonlinear Equations?
The most-cited researchers publishing on Iterative Methods for Nonlinear Equations include D.D. Ganji.
- 1 D.D. Ganji Iran 2.3k citations
Ranked by citations received across their whole record, among researchers with at least three works on this topic.
Where is Iterative Methods for Nonlinear Equations research done?
The largest centres of Iterative Methods for Nonlinear Equations research in 2022–2025 are Riyadh (Saudi Arabia), Tehran (Iran), Baghdad (Iraq) and Moscow (Russia). Among places with at least 20 works in it, it is an unusually large share of all research in Lawton and Mosul.
Largest cities, 2022–2025
Where it is the local speciality
- LawtonUS · 20.4 works1066×
- MosulIQ · 23.6 works22×
Location quotient: how much more of its research is in Iterative Methods for Nonlinear Equations than the world average.
Where is the best place to study Iterative Methods for Nonlinear Equations?
Among universities, judged by research, Al-Balqa Applied University, Abdul Wali Khan University Mardan and China Medical University score highest, combining excellence, specialisation, size, growth and international reach. Research strength is one signal when choosing where to study; it does not measure teaching.
One dot per university in the table below. The upper left is the interesting corner: small places doing unusually strong work.
| # | University | Score | Top 10% | Specialisation | Works | Growth |
|---|---|---|---|---|---|---|
| 1 | Al-Balqa Applied UniversityJordan | 71.3 | 41.1% | 32.1× | 8 | +99.9% |
| 2 | Abdul Wali Khan University MardanPakistan | 71.1 | 32.5% | 39.2× | 9 | +114.7% |
| 3 | China Medical UniversityTaiwan | 68.8 | 37.2% | 27.6× | 10 | — |
| 4 | Cameron UniversityUnited States | 68.6 | 9.8% | 1562.1× | 20 | +154.8% |
| 5 | Universitat Politècnica de ValènciaSpain | 67.9 | 27.9% | 17.1× | 15 | +48.2% |
| 6 | Zarqa UniversityJordan | 65.8 | 24.7% | 57.8× | 12 | — |
| 7 | National Institute of Technology KarnatakaIndia | 63.0 | 19.3% | 30.0× | 14 | +138.4% |
| 8 | King Abdulaziz UniversitySaudi Arabia | 57.0 | 20.1% | 9.3× | 12 | +14.6% |
| 9 | Bohai UniversityChina | 55.2 | 29.4% | 41.1× | 10 | +14.6% |
| 10 | National Institute of Technology ManipurIndia | 52.9 | 27.5% | 113.4× | 9 | — |
Universities only. Score blends excellence (30%), specialisation (25%), size (20%), growth (15%) and international reach (10%), 2015–2022; growth compares 2010–14 with 2015–19.
Is Iterative Methods for Nonlinear Equations research growing?
Output in 2018–2022 was 23% higher than in 2013–2017, peaking in 2021. The fastest-growing topics are Iterative Methods for Nonlinear Equations.
The same series as a ribbon — one cell per year, darker for more. The line above answers how much; this answers when.
Which topics inside it are moving
Growth and decline on one axis around a shared zero. Two lists side by side hide the thing that matters: whether the growth dwarfs the decline, or the other way round.