Daniel C. Biles
Impact in
- Numerical Analysis top 5%
- Differential Equations and Numerical Methods
- Numerical methods for differential equations
- Applied Mathematics top 2%
- Nonlinear Differential Equations Analysis
- Differential Equations and Boundary Problems
Papers in
-
- Nonlinear Differential Equations Analysis 13
- Nonlinear Partial Differential Equations 2
- Differential Equations and Boundary Problems 2
-
- Numerical methods for differential equations 11
- Differential Equations and Numerical Methods 10
- Co-authors
- Ferhan M. Atıcı (3 shared papers)Paul Binding (1 shared paper)Rodrigo López Pouso (3 shared papers)José Ángel Cid (1 shared paper)M. Federson (1 shared paper)
- Journals
- Proceedings of the American Mathematical Society (3 papers)Journal of Mathematical Analysis and Applications (3 papers)Mathematical and Computer Modelling (2 papers)Transactions of the American Mathematical Society (2 papers)Differential and Integral Equations (1 paper)
- Partner nations
- United StatesSpainCanada
In The Last Decade
Daniel C. Biles
20 papers receiving 322 citations
Peers
Comparison fields: 5 of 39
- Numerical Analysis 130
- Applied Mathematics 241
- Modeling and Simulation 98
- Geometry and Topology 60
- Control and Systems Engineering 99
Countries citing papers authored by Daniel C. Biles
This map shows the geographic impact of Daniel C. Biles'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 Daniel C. Biles with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites Daniel C. Biles more than expected).
Fields of papers citing papers by Daniel C. Biles
This network shows the impact of papers produced by Daniel C. Biles. 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 Daniel C. Biles. The network helps show where Daniel C. Biles may publish in the future.
Co-authors
The 5 scholars most cited alongside Daniel C. Biles, linked wherever they have co-authored with each other. Click a name or a connecting line to browse the papers they share.
All Works
Showing the 20 most-cited of 23 papers — load more, or switch the sort, to bring in the rest.
| # | Work | ||
|---|---|---|---|
| 1 | 2006 | 199 | |
| 2 | 2004 | 30 | |
| 3 | 2002 | 25 | |
| 4 | 1995 | 16 | |
| 5 | 1997 | 16 | |
| 6 | 1993 | 10 | |
| 7 | 2008 | 10 | |
| 8 | 2000 | 8 | |
| 9 | 2009 | 8 | |
| 10 | 1993 | 6 | |
| 11 | 2011 | 6 | |
| 12 | 2014 | 4 | |
| 13 | 2005 | 3 | |
| 14 | 1998 | 3 | |
| 15 | 2012 | 2 | |
| 16 | 2007 | 2 | |
| 17 | 1997 | 1 | |
| 18 | 2008 | 1 | |
| 19 | 2014 | 1 | |
| 20 | 2020 | 1 |
About Daniel C. Biles
Daniel C. Biles is a scholar working on Applied Mathematics, Numerical Analysis, Computational Theory and Mathematics, Modeling and Simulation and Control and Systems Engineering, having authored 23 papers that have together received 352 indexed citations. Recurring topics across this work include Nonlinear Differential Equations Analysis (13 papers), Numerical methods for differential equations (11 papers), Differential Equations and Numerical Methods (10 papers), Fractional Differential Equations Solutions (4 papers), Stability and Controllability of Differential Equations (2 papers), Nonlinear Partial Differential Equations (2 papers), Optimization and Variational Analysis (2 papers) and Differential Equations and Boundary Problems (2 papers). The work is most often cited by research in Numerical Analysis (130 citations), Applied Mathematics (241 citations), Modeling and Simulation (98 citations), Geometry and Topology (60 citations) and Control and Systems Engineering (99 citations). Daniel C. Biles has collaborated with scholars based in United States, Spain and Canada. Frequent co-authors include Ferhan M. Atıcı, Paul Binding, Rodrigo López Pouso, José Ángel Cid and M. Federson. Their work appears in journals such as Proceedings of the American Mathematical Society, Journal of Mathematical Analysis and Applications, Mathematical and Computer Modelling, Transactions of the American Mathematical Society and Differential and Integral Equations.
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.