Niall Madden

918 total citations
34 papers, 675 citations indexed

About

Niall Madden is a scholar working on Numerical Analysis, Computational Mechanics and Computational Theory and Mathematics. According to data from OpenAlex, Niall Madden has authored 34 papers receiving a total of 675 indexed citations (citations by other indexed papers that have themselves been cited), including 26 papers in Numerical Analysis, 16 papers in Computational Mechanics and 14 papers in Computational Theory and Mathematics. Recurrent topics in Niall Madden's work include Differential Equations and Numerical Methods (26 papers), Advanced Numerical Methods in Computational Mathematics (15 papers) and Advanced Mathematical Modeling in Engineering (13 papers). Niall Madden is often cited by papers focused on Differential Equations and Numerical Methods (26 papers), Advanced Numerical Methods in Computational Mathematics (15 papers) and Advanced Mathematical Modeling in Engineering (13 papers). Niall Madden collaborates with scholars based in Ireland, Germany and United States. Niall Madden's co-authors include Martin Stynes, Torsten Linß, Jochen Einbeck, John Newell, David Higgins, K McMillan, Natalia Kopteva, R. J. Hastie, Scott MacLachlan and R. Bruce Kellogg and has published in prestigious journals such as International Journal for Numerical Methods in Engineering, Journal of Sports Sciences and Applied Mathematics and Computation.

In The Last Decade

Niall Madden

30 papers receiving 631 citations

Peers — A (Enhanced Table)

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

Name h Career Trend Papers Cites
Niall Madden Ireland 14 484 314 243 96 83 34 675
Carlos Pérez Spain 32 335 0.7× 181 0.6× 22 0.1× 1 0.0× 72 0.9× 80 3.5k
Francisco J. Gaspar Spain 13 105 0.2× 204 0.6× 434 1.8× 19 0.2× 42 565
V. V. Semenov Ukraine 13 437 0.9× 568 1.8× 71 0.3× 34 0.4× 59 618
Victoria E. Howle United States 9 115 0.2× 238 0.8× 340 1.4× 10 0.1× 17 430
J. F. B. M. Kraaijevanger Netherlands 13 329 0.7× 159 0.5× 290 1.2× 166 1.7× 19 657
Franco Tomarelli Italy 13 53 0.1× 313 1.0× 86 0.4× 15 0.2× 55 518
M. Lentini Italy 7 163 0.3× 55 0.2× 138 0.6× 26 0.3× 16 322
Philipp Birken Germany 10 144 0.3× 43 0.1× 309 1.3× 20 0.2× 49 365
Konstantin Pileckas Lithuania 18 92 0.2× 497 1.6× 362 1.5× 14 0.1× 77 807
Rong Hu China 10 121 0.3× 340 1.1× 55 0.2× 11 0.1× 53 400

Countries citing papers authored by Niall Madden

Since Specialization
Citations

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

Fields of papers citing papers by Niall Madden

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Niall Madden. 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 Niall Madden. The network helps show where Niall Madden may publish in the future.

Co-authorship network of co-authors of Niall Madden

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

All Works

20 of 20 papers shown
1.
MacLachlan, Scott, et al.. (2022). A Boundary-Layer Preconditioner for Singularly Perturbed Convection Diffusion. SIAM Journal on Matrix Analysis and Applications. 43(2). 561–583.
2.
Madden, Niall & Martin Stynes. (2021). A weighted and balanced FEM for singularly perturbed reaction-diffusion problems. CALCOLO. 58(2). 12 indexed citations
3.
Mondal, Kajal Kumar, et al.. (2021). Layer-adapted meshes for solute dispersion in a steady flow through an annulus with wall absorption: Application to a catheterized artery. Korea-Australia Rheology Journal. 33(1). 11–24. 16 indexed citations
4.
Madden, Niall, et al.. (2020). Generating layer-adapted meshes using mesh partial differential equations. Numerical Mathematics Theory Methods and Applications. 14(3). 559–588. 1 indexed citations
5.
Jahandari, Hormoz, Scott MacLachlan, Ronald D. Haynes, & Niall Madden. (2020). Finite element modelling of geophysical electromagnetic data with goal-oriented hr-adaptivity. Computational Geosciences. 24(3). 1257–1283.
6.
Madden, Niall, et al.. (2020). An analysis of diagonal and incomplete Cholesky preconditioners for singularly perturbed problems on layer-adapted meshes. Journal of Applied Mathematics and Computing. 65(1-2). 245–272. 3 indexed citations
7.
MacLachlan, Scott, et al.. (2017). Boundary layer preconditioners for finite-element discretizations of singularly perturbed reaction-diffusion problems. Numerical Algorithms. 79(1). 281–310. 3 indexed citations
8.
Madden, Niall, et al.. (2016). A C 1 -conforming hp finite element method for fourth order singularly perturbed boundary value problems. Applied Numerical Mathematics. 104. 81–97. 13 indexed citations
9.
Madden, Niall, et al.. (2015). An optimal time-stepping algorithm for unsteady advection–diffusion problems. Journal of Computational and Applied Mathematics. 294. 57–77. 3 indexed citations
10.
MacLachlan, Scott & Niall Madden. (2013). Robust Solution of Singularly Perturbed Problems Using Multigrid Methods. SIAM Journal on Scientific Computing. 35(5). A2225–A2254. 13 indexed citations
11.
Madden, Michael G., et al.. (2012). Bayesian networks for mathematical models: Techniques for automatic construction and efficient inference. International Journal of Approximate Reasoning. 54(2). 323–342. 7 indexed citations
12.
Madden, Niall, et al.. (2008). A parameter-uniform Schwarz method for a coupled system of reaction–diffusion equations. Journal of Computational and Applied Mathematics. 230(2). 360–370. 21 indexed citations
13.
Madden, Niall, et al.. (2008). Layer-adapted meshes for a linear system of coupled singularly perturbed reaction-diffusion problems. IMA Journal of Numerical Analysis. 29(1). 109–125. 43 indexed citations
14.
Newell, John, et al.. (2007). Software for calculating blood lactate endurance markers. Journal of Sports Sciences. 25(12). 1403–1409. 120 indexed citations
15.
Linß, Torsten & Niall Madden. (2006). Layer‐adapted meshes for time‐dependent reaction‐diffusion problems. PAMM. 6(1). 749–750. 9 indexed citations
16.
Madden, Niall, et al.. (2003). A finite element analysis of a coupled system of singularly perturbed reaction–diffusion equations. Applied Mathematics and Computation. 148(3). 869–880. 34 indexed citations
17.
Madden, Niall. (2003). A uniformly convergent numerical method for a coupled system of two singularly perturbed linear reaction-diffusion problems. IMA Journal of Numerical Analysis. 23(4). 627–644. 106 indexed citations
18.
Linß, Torsten & Niall Madden. (2003). Uniform convergence of a finite difference scheme for a system of coupledreaction‐diffusion equations. PAMM. 3(1). 567–568. 1 indexed citations
19.
Madden, Niall, Martin Stynes, & Gareth Thomas. (1998). On the Development of Complete Flow Models for Wave-Current Interactions. Coastal dynamics. 405–414. 1 indexed citations
20.
Madden, Niall & Martin Stynes. (1996). Efficient generation of Shishkin meshes in solving convection-diffusion problems. Irish Mathematical Society Bulletin. 36. 66–66.

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.

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