L.M. Abia

671 total citations
25 papers, 477 citations indexed

About

L.M. Abia is a scholar working on Public Health, Environmental and Occupational Health, Numerical Analysis and Modeling and Simulation. According to data from OpenAlex, L.M. Abia has authored 25 papers receiving a total of 477 indexed citations (citations by other indexed papers that have themselves been cited), including 13 papers in Public Health, Environmental and Occupational Health, 11 papers in Numerical Analysis and 9 papers in Modeling and Simulation. Recurrent topics in L.M. Abia's work include Mathematical and Theoretical Epidemiology and Ecology Models (13 papers), Differential Equations and Numerical Methods (9 papers) and Fractional Differential Equations Solutions (6 papers). L.M. Abia is often cited by papers focused on Mathematical and Theoretical Epidemiology and Ecology Models (13 papers), Differential Equations and Numerical Methods (9 papers) and Fractional Differential Equations Solutions (6 papers). L.M. Abia collaborates with scholars based in Spain and United States. L.M. Abia's co-authors include J.C. López-Marcos, J. M. Sanz‐Serna, O. Angulo, Julia Martínez‐Rodríguez, M.A. López-Marcos and I. Christie and has published in prestigious journals such as Mathematics of Computation, International Journal for Numerical Methods in Engineering and SIAM Journal on Numerical Analysis.

In The Last Decade

L.M. Abia

23 papers receiving 427 citations

Peers — A (Enhanced Table)

Peers by citation overlap · career bar shows stage (early→late) cites · hero ref

Name	h						Papers	Cites
L.M. Abia Spain	11	241	135	131	110	109	25	477
Fasma Diele Italy	14	175 0.7×	102 0.8×	59 0.5×	146 1.3×	89 0.8×	49	487
Xin Lü China	16	171 0.7×	211 1.6×	81 0.6×	95 0.9×	198 1.8×	74	624
Xiaohua Ding China	13	284 1.2×	130 1.0×	37 0.3×	74 0.7×	237 2.2×	67	528
M.A. López-Marcos Spain	11	104 0.4×	111 0.8×	54 0.4×	25 0.2×	92 0.8×	41	370
Klemens Fellner Austria	13	41 0.2×	115 0.9×	77 0.6×	161 1.5×	322 3.0×	38	613
David L. Ragozin United States	12	192 0.8×	43 0.3×	59 0.5×	53 0.5×	145 1.3×	25	577
Emiko Ishiwata Japan	12	209 0.9×	101 0.7×	30 0.2×	77 0.7×	228 2.1×	48	414
Charles J. Holland United States	10	139 0.6×	110 0.8×	36 0.3×	288 2.6×	89 0.8×	27	618
Francisco de la Hoz Spain	11	82 0.3×	21 0.2×	74 0.6×	28 0.3×	48 0.4×	31	349
Mariana Hărăguş France	12	52 0.2×	120 0.9×	48 0.4×	51 0.5×	41 0.4×	26	603

Countries citing papers authored by L.M. Abia

Since Specialization

Citations

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

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

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-authorship network of co-authors of L.M. Abia

This figure shows the co-authorship network connecting the top 25 collaborators of L.M. Abia. A scholar is included among the top collaborators of L.M. Abia based on the total number of citations received by their joint publications. Widths of edges represent the number of papers authors have co-authored together. Node borders signify the number of papers an author published with L.M. Abia. L.M. Abia is excluded from the visualization to improve readability, since they are connected to all nodes in the network.

All Works

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20 of 20 papers shown

Abia, L.M., O. Angulo, J.C. López-Marcos, & M.A. López-Marcos. (2022). Numerical integration of an age-structured population model with infinite life span. Applied Mathematics and Computation. 434. 127401–127401. 2 indexed citations

Abia, L.M., O. Angulo, J.C. López-Marcos, & M.A. López-Marcos. (2021). Computational Study on the Dynamics of a Consumer-Resource Model: The Influence of the Growth Law in the Resource. Mathematics. 9(21). 2746–2746.

Abia, L.M., O. Angulo, J.C. López-Marcos, & M.A. López-Marcos. (2020). Numerical approximation of finite life‐span age‐structured population models. Mathematical Methods in the Applied Sciences. 45(6). 3272–3283. 4 indexed citations

Abia, L.M., O. Angulo, J.C. López-Marcos, & M.A. López-Marcos. (2020). The Convergence Analysis of a Numerical Method for a Structured Consumer-Resource Model with Delay in the Resource Evolution Rate. Mathematics. 8(9). 1440–1440. 1 indexed citations

Abia, L.M., O. Angulo, J.C. López-Marcos, & M.A. López-Marcos. (2018). A numerical study on the estimation of the stable size distribution for a cell population balance model. Mathematical Methods in the Applied Sciences. 41(8). 2894–2905. 1 indexed citations

Abia, L.M., O. Angulo, J.C. López-Marcos, & M.A. López-Marcos. (2018). Numerical analysis of a cell dwarfism model. Journal of Computational and Applied Mathematics. 349. 82–92.

Abia, L.M., O. Angulo, J.C. López-Marcos, & M.A. López-Marcos. (2017). Approximating the survival probability in finite life-span population models. Journal of Computational and Applied Mathematics. 330. 783–793. 7 indexed citations

Abia, L.M., O. Angulo, J.C. López-Marcos, & M.A. López-Marcos. (2013). Numerical integration of a hierarchically size-structured population model with contest competition. Journal of Computational and Applied Mathematics. 258. 116–134. 9 indexed citations

Abia, L.M., O. Angulo, J.C. López-Marcos, & M.A. López-Marcos. (2010). Numerical study on the proliferation cells fraction of a tumour cord model. Mathematical and Computer Modelling. 52(7-8). 992–998. 9 indexed citations

10.

Abia, L.M., O. Angulo, J.C. López-Marcos, & M.A. López-Marcos. (2010). Long-Time Simulation of a Size-Structured Population Model with a Dynamical Resource. Mathematical Modelling of Natural Phenomena. 5(6). 1–21. 10 indexed citations

11.

Abia, L.M., O. Angulo, J.C. López-Marcos, & M.A. López-Marcos. (2009). Numerical schemes for a size-structured cell population model with equal fission. Mathematical and Computer Modelling. 50(5-6). 653–664. 21 indexed citations

12.

Abia, L.M., J.C. López-Marcos, & Julia Martínez‐Rodríguez. (2001). The Euler method in the numerical integration of reaction–diffusion problems with blow-up. Applied Numerical Mathematics. 38(3). 287–313. 27 indexed citations

13.

Abia, L.M. & J.C. López-Marcos. (1999). On the numerical integration of non-local terms for age-structured population models. Mathematical Biosciences. 157(1-2). 147–167. 22 indexed citations

14.

Abia, L.M., J.C. López-Marcos, & Julia Martínez‐Rodríguez. (1998). On the blow-up time convergence of semidiscretizations of reaction-diffusion equations. Applied Numerical Mathematics. 26(4). 399–414. 51 indexed citations

15.

Abia, L.M. & J.C. López-Marcos. (1995). Runge-Kutta methods for age-structured population models. Applied Numerical Mathematics. 17(1). 1–17. 27 indexed citations

16.

Abia, L.M. & J. M. Sanz‐Serna. (1993). Partitioned Runge-Kutta methods for separable Hamiltonian problems. Mathematics of Computation. 60(202). 617–634. 37 indexed citations

17.

Abia, L.M. & J. M. Sanz‐Serna. (1990). The spectral accuracy of a fully-discrete scheme for a nonlinear third order equation. Computing. 44(3). 187–196. 6 indexed citations

18.

Abia, L.M., I. Christie, & J. M. Sanz‐Serna. (1989). Stability of schemes for the numerical treatment of an equation modelling fluidized beds. ESAIM Mathematical Modelling and Numerical Analysis. 23(2). 191–204. 3 indexed citations

19.

Sanz‐Serna, J. M. & L.M. Abia. (1984). Interpolation of the Coefficients in Nonlinear Elliptic Galerkin Procedures. SIAM Journal on Numerical Analysis. 21(1). 77–83. 10 indexed citations

20.

Abia, L.M. & J. M. Sanz‐Serna. (1984). On the use of the product approximation technique in nonlinear galerkin methods. International Journal for Numerical Methods in Engineering. 20(4). 778–779. 1 indexed citations

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