L.M. Abia
Impact in
- Numerical Analysis top 2%
- Numerical methods for differential equations
- Differential Equations and Numerical Methods
- Modeling and Simulation top 2%
- Fractional Differential Equations Solutions
- Mathematical Biology Tumor Growth
Papers in
-
- Mathematical and Theoretical Epidemiology and Ecology Models 15
-
- Differential Equations and Numerical Methods 9
- Numerical methods for differential equations 5
- Co-authors
- J.C. López-Marcos (22 shared papers)J. M. Sanz‐Serna (6 shared papers)O. Angulo (16 shared papers)Julia Martínez‐Rodríguez (3 shared papers)M.A. López-Marcos (13 shared papers)I. Christie (1 shared paper)
- Journals
- Applied Numerical Mathematics (4 papers)Journal of Computational and Applied Mathematics (3 papers)Mathematical Methods in the Applied Sciences (2 papers)Mathematical and Computer Modelling (2 papers)SIAM Journal on Numerical Analysis (2 papers)
- Partner nations
- SpainUnited States
In The Last Decade
L.M. Abia
23 papers receiving 437 citations
Peers
Comparison fields: 5 of 63
- Numerical Analysis 241
- Modeling and Simulation 112
- Mathematical Physics 74
- Computational Theory and Mathematics 110
- Applied Mathematics 69
Countries citing papers authored by L.M. Abia
This map shows the geographic impact of L.M. Abia'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 L.M. Abia with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites L.M. Abia more than expected).
Fields of papers citing papers by L.M. Abia
This network shows the impact of papers produced by L.M. Abia. 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 L.M. Abia. The network helps show where L.M. Abia may publish in the future.
Co-authors
The 6 scholars most cited alongside L.M. Abia, 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 28 papers — load more, or switch the sort, to bring in the rest.
| # | Work | ||
|---|---|---|---|
| 1 | 1991 | 82 | |
| 2 | 2005 | 63 | |
| 3 | 1998 | 51 | |
| 4 | 2004 | 40 | |
| 5 | 1993 | 37 | |
| 6 | 1996 | 31 | |
| 7 | 1995 | 28 | |
| 8 | 2001 | 27 | |
| 9 | 2009 | 22 | |
| 10 | 1999 | 22 | |
| 11 | 1997 | 15 | |
| 12 | 2010 | 10 | |
| 13 | 1984 | 10 | |
| 14 | 2017 | 9 | |
| 15 | 2013 | 9 | |
| 16 | 2010 | 9 | |
| 17 | 1990 | 6 | |
| 18 | 2020 | 5 | |
| 19 | 2022 | 4 | |
| 20 | 1989 | 3 |
About L.M. Abia
L.M. Abia is a scholar working on Public Health, Environmental and Occupational Health, Numerical Analysis, Modeling and Simulation, Mathematical Physics and Statistical and Nonlinear Physics, having authored 28 papers that have together received 486 indexed citations. Recurring topics across this work include Mathematical and Theoretical Epidemiology and Ecology Models (15 papers), Differential Equations and Numerical Methods (9 papers), Stochastic processes and statistical mechanics (8 papers), Fractional Differential Equations Solutions (6 papers), Advanced Mathematical Modeling in Engineering (5 papers), Mathematical Biology Tumor Growth (5 papers), Numerical methods for differential equations (5 papers) and Advanced Thermodynamics and Statistical Mechanics (4 papers). The work is most often cited by research in Numerical Analysis (241 citations), Modeling and Simulation (112 citations), Mathematical Physics (74 citations), Computational Theory and Mathematics (110 citations) and Applied Mathematics (69 citations). L.M. Abia has collaborated with scholars based in Spain and United States. Frequent co-authors include J.C. López-Marcos, J. M. Sanz‐Serna, O. Angulo, Julia Martínez‐Rodríguez, M.A. López-Marcos and I. Christie. Their work appears in journals such as Applied Numerical Mathematics, Journal of Computational and Applied Mathematics, Mathematical Methods in the Applied Sciences, Mathematical and Computer Modelling and SIAM Journal on Numerical Analysis.
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.