Paul Castillo
Impact in
- Numerical Analysis top 1%
- Differential Equations and Numerical Methods
- Numerical methods for differential equations
- Computational Mechanics top 1%
- Advanced Numerical Methods in Computational Mathematics
- Computational Fluid Dynamics and Aerodynamics
Papers in
-
- Differential Equations and Numerical Methods 10
- Numerical methods for differential equations 9
- Co-authors
- Bernardo CockburnDominik SchötzauIlaria PerugiaChristoph SchwabD. WhiteMiguel Vélez-ReyesRobert N. RiebenJulio M. Duarte‐Carvajalino
- Journals
- Journal of Scientific Computing (5 papers)International Journal for Numerical Methods in Engineering (2 papers)Communications in Nonlinear Science and Numerical Simulation (2 papers)Applied Mathematics and Computation (2 papers)ACM Transactions on Mathematical Software (1 paper)
- Partner nations
- Puerto RicoUnited StatesItaly
In The Last Decade
Paul Castillo
39 papers receiving 1.1k citations
Peers
Comparison fields: 5 of 56
- Numerical Analysis 501
- Computational Mechanics 915
- Computational Theory and Mathematics 331
- Modeling and Simulation 79
- Mechanics of Materials 263
Countries citing papers authored by Paul Castillo
This map shows the geographic impact of Paul Castillo's research. It shows the number of citations coming from papers published by authors working in each country. You can also color the map by specialization and compare the number of citations received by Paul Castillo with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites Paul Castillo more than expected).
Fields of papers citing papers by Paul Castillo
This network shows the impact of papers produced by Paul Castillo. Nodes represent research fields, and links connect fields that are likely to share authors. Colored nodes show fields that tend to cite the papers produced by Paul Castillo. The network helps show where Paul Castillo may publish in the future.
Co-authorship network
The 17 scholars most cited alongside Paul Castillo, linked wherever they have co-authored with each other. Click a name or a connecting line to browse the papers they share.
All Works
| # | Work | ||
|---|---|---|---|
| 1 | 2021 | 5 | |
| 2 | 2021 | 4 | |
| 3 | 2021 | 12 | |
| 4 | 2019 | 21 | |
| 5 | 2019 | 4 | |
| 6 | 2015 | 1 | |
| 7 | An acceleration technique for the Gauss-Seidel method applied to symmetric linear systems | 2014 | 2 |
| 8 | An extension of the I + Smax preconditioner for the Gauss-Seidel method | 2013 | 1 |
| 9 | 2011 | 10 | |
| 10 | 2007 | 45 | |
| 11 | 2007 | 1 | |
| 12 | 2005 | 43 | |
| 13 | 2004 | 20 | |
| 14 | 2003 | 47 | |
| 15 | 2002 | 97 | |
| 16 | 2001 | 16 | |
| 17 | 2001 | 204 | |
| 18 | 2000 | 69 | |
| 19 | 1998 | 13 | |
| 20 | Tensor Sum Approximation Preconditioners. | 1997 | 1 |
About Paul Castillo
Paul Castillo is a scholar working on Numerical Analysis, Computational Mathematics, Computational Mechanics, Computational Theory and Mathematics and Modeling and Simulation, having authored 39 papers that have together received 1.2k indexed citations. Recurring topics across this work include Advanced Numerical Methods in Computational Mathematics (26 papers), Advanced Mathematical Modeling in Engineering (13 papers), Electromagnetic Simulation and Numerical Methods (12 papers), Differential Equations and Numerical Methods (10 papers), Numerical methods for differential equations (9 papers), Numerical methods in engineering (7 papers), Electromagnetic Scattering and Analysis (5 papers) and Image and Signal Denoising Methods (4 papers). The work is most often cited by research in Numerical Analysis (501 citations), Computational Mechanics (915 citations), Computational Theory and Mathematics (331 citations), Modeling and Simulation (79 citations) and Mechanics of Materials (263 citations). Paul Castillo has collaborated with scholars based in Puerto Rico, United States and Italy. Frequent co-authors include Bernardo Cockburn, Dominik Schötzau, Ilaria Perugia, Christoph Schwab, D. White, Miguel Vélez-Reyes, Robert N. Rieben, Julio M. Duarte‐Carvajalino, Vadym Aizinger and Clint Dawson. Their work appears in journals such as Journal of Scientific Computing, International Journal for Numerical Methods in Engineering, Communications in Nonlinear Science and Numerical Simulation, Applied Mathematics and Computation and ACM Transactions on Mathematical Software.
Rankless uses publication and citation data sourced from OpenAlex, an open and comprehensive bibliographic database. While OpenAlex provides broad and valuable coverage of the global research landscape, it—like all bibliographic datasets—has inherent limitations. These include incomplete records, variations in author disambiguation, differences in journal indexing, and delays in data updates. As a result, some metrics and network relationships displayed in Rankless may not fully capture the entirety of a scholar's output or impact.