J.L. Gracia

2.2k total citations · 1 hit paper
62 papers, 1.7k citations indexed

About

J.L. Gracia is a scholar working on Numerical Analysis, Computational Theory and Mathematics and Applied Mathematics. According to data from OpenAlex, J.L. Gracia has authored 62 papers receiving a total of 1.7k indexed citations (citations by other indexed papers that have themselves been cited), including 53 papers in Numerical Analysis, 29 papers in Computational Theory and Mathematics and 19 papers in Applied Mathematics. Recurrent topics in J.L. Gracia's work include Differential Equations and Numerical Methods (51 papers), Advanced Mathematical Modeling in Engineering (26 papers) and Material Science and Thermodynamics (15 papers). J.L. Gracia is often cited by papers focused on Differential Equations and Numerical Methods (51 papers), Advanced Mathematical Modeling in Engineering (26 papers) and Material Science and Thermodynamics (15 papers). J.L. Gracia collaborates with scholars based in Spain, Ireland and China. J.L. Gracia's co-authors include Eugene O’Riordan, Martin Stynes, C. Clavero, F.J. Lisbona, J.C. Jorge, Francisco J. Gaspar, Francisco J. Gaspar, G. I. Shishkin, Carmen Rodrigo and Pilar García‐Navarro and has published in prestigious journals such as Journal of Computational Physics, Computer Methods in Applied Mechanics and Engineering and Mathematics of Computation.

In The Last Decade

J.L. Gracia

57 papers receiving 1.6k citations

Hit Papers

align trajectories

What are hit papers?

Hit papers significantly outperform the citation benchmark for their cohort. A paper qualifies if it has ≥500 total citations, achieves ≥1.5× the top-1% citation threshold for papers in the same subfield and year (this is the minimum needed to enter the top 1%, not the average within it), or reaches the top citation threshold in at least one of its specific research topics.

Error Analysis of a Finite Difference Method on Graded Meshes for a Time-Fractional Diffusion Equation

2017 686 citations Martin Stynes, Eugene O’Riordan et al. profile →

Peers

J.L. Gracia

CTM

Mohan K. Kadalbajoo India

Kassem Mustapha Saudi Arabia

Allaberen Ashyralyev Türkiye

Eisa Al-Said Saudi Arabia

Srinivasan Natesan India

Natalia Kopteva Ireland

Ghasem Barid Loghmani Iran

Eugene O’Riordan Ireland

Yingzhen Lin China

Da Xu China

Mohan K. Kadalbajoo India

J.L. Gracia

2.4k ×1.6

522 ×0.6

740 ×1.7

CTM

459 ×1.3

504 ×1.7

Citations per year, relative to J.L. Gracia J.L. Gracia (= 1×) peers Mohan K. Kadalbajoo

Countries citing papers authored by J.L. Gracia

Since Specialization

Citations

This map shows the geographic impact of J.L. Gracia'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 J.L. Gracia with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites J.L. Gracia more than expected).

Fields of papers citing papers by J.L. Gracia

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by J.L. Gracia. 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 J.L. Gracia. The network helps show where J.L. Gracia may publish in the future.

Co-authorship network of co-authors of J.L. Gracia

This figure shows the co-authorship network connecting the top 25 collaborators of J.L. Gracia. A scholar is included among the top collaborators of J.L. Gracia 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 J.L. Gracia. J.L. Gracia is excluded from the visualization to improve readability, since they are connected to all nodes in the network.

All Works

Sort: Min cites: Since: Top N: Style:

20 of 20 papers shown

Gracia, J.L., et al.. (2024). Combination of intrusive POD-based reduced-order models and augmented Riemann solvers applied to unsteady 2D shallow water equations. Computer Methods in Applied Mechanics and Engineering. 436. 117702–117702. 2 indexed citations

Gracia, J.L., et al.. (2023). Development of Pod-Based Reduced Order Models Applied to Shallow Water Equations Using Augmented Riemann Solvers. SSRN Electronic Journal.

Gracia, J.L. & Eugene O’Riordan. (2021). Numerical approximations to a singularly perturbed convection-diffusion problem with a discontinuous initial condition. Zaguan (University of Zaragoza Repository). 6 indexed citations

Gracia, J.L. & Eugene O’Riordan. (2017). A singularly perturbed convection–diffusion problem with a moving pulse. Journal of Computational and Applied Mathematics. 321. 371–388. 2 indexed citations

Clavero, C., et al.. (2015). An efficient numerical scheme for 1D parabolic singularly perturbed problems with an interior and boundary layers. Journal of Computational and Applied Mathematics. 318. 634–645. 22 indexed citations

Gracia, J.L. & Martin Stynes. (2014). Central difference approximation of convection in Caputo fractional derivative two-point boundary value problems. Journal of Computational and Applied Mathematics. 273. 103–115. 32 indexed citations

Clavero, C. & J.L. Gracia. (2014). Uniformly convergent additive finite difference schemes for singularly perturbed parabolic reaction–diffusion systems. Computers & Mathematics with Applications. 67(3). 655–670. 17 indexed citations

Gracia, J.L. & Eugene O’Riordan. (2014). Numerical approximation of solution derivatives in the case of singularly perturbed time dependent reaction–diffusion problems. Journal of Computational and Applied Mathematics. 273. 13–24. 13 indexed citations

Clavero, C. & J.L. Gracia. (2012). A higher order uniformly convergent method with Richardson extrapolation in time for singularly perturbed reaction–diffusion parabolic problems. Journal of Computational and Applied Mathematics. 252. 75–85. 19 indexed citations

10.

Gracia, J.L. & Eugene O’Riordan. (2012). A singularly perturbed parabolic problem with a layer in the initial condition. Applied Mathematics and Computation. 219(2). 498–510. 7 indexed citations

11.

Clavero, C., J.L. Gracia, & Martin Stynes. (2011). A simpler analysis of a hybrid numerical method for time-dependent convection–diffusion problems. Journal of Computational and Applied Mathematics. 235(17). 5240–5248. 24 indexed citations

12.

Clavero, C., J.L. Gracia, & F.J. Lisbona. (2010). An almost third order finite difference scheme for singularly perturbed reaction–diffusion systems. Journal of Computational and Applied Mathematics. 234(8). 2501–2515. 21 indexed citations

13.

Clavero, C. & J.L. Gracia. (2010). On the uniform convergence of a finite difference scheme for time dependent singularly perturbed reaction-diffusion problems. Applied Mathematics and Computation. 216(5). 1478–1488. 33 indexed citations

14.

Gaspar, Francisco J., J.L. Gracia, F.J. Lisbona, & Carmen Rodrigo. (2009). Efficient geometric multigrid implementation for triangular grids. Journal of Computational and Applied Mathematics. 234(4). 1027–1035. 5 indexed citations

15.

Clavero, C., et al.. (2008). An almost second order uniformly convergent method for parabolic singularly perturbed reaction-diffusion systems. 1–22. 1 indexed citations

16.

Clavero, C. & J.L. Gracia. (2006). Time dependent singularly perturbed coupled reaction-diffusion systems: a high accurate uniformly convergent method. 1. 1 indexed citations

17.

Gracia, J.L., C. Clavero, & Eugene O’Riordan. (2006). The defect-correction technique applied to singularly perturbed elliptic problems of convection- diffusion type. Dialnet (Universidad de la Rioja). 411–418. 6 indexed citations

18.

Gracia, J.L. & C. Clavero. (2005). A compact finite difference scheme for 2D reaction–diffusion singularly perturbed problems. Journal of Computational and Applied Mathematics. 192(1). 152–167. 11 indexed citations

19.

Gracia, J.L., et al.. (2003). High Order Uniformly Convergent Fractional Step RK Methods and HODIE Finite Difference Schemes for 2D Evolutionary Convection-Diffusion Problems. Journal of Computational Methods in Sciences and Engineering. 3(3). 403–413. 3 indexed citations

20.

Clavero, C. & J.L. Gracia. (2003). HODIE finite difference schemes on generalized Shishkin meshes. Journal of Computational and Applied Mathematics. 164-165. 195–206. 10 indexed citations

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.

Explore authors with similar magnitude of impact