Donato Trigiante

2.4k total citations
81 papers, 1.6k citations indexed

About

Donato Trigiante is a scholar working on Numerical Analysis, Computational Theory and Mathematics and Computational Mechanics. According to data from OpenAlex, Donato Trigiante has authored 81 papers receiving a total of 1.6k indexed citations (citations by other indexed papers that have themselves been cited), including 61 papers in Numerical Analysis, 36 papers in Computational Theory and Mathematics and 34 papers in Computational Mechanics. Recurrent topics in Donato Trigiante's work include Numerical methods for differential equations (52 papers), Advanced Numerical Methods in Computational Mathematics (31 papers) and Matrix Theory and Algorithms (30 papers). Donato Trigiante is often cited by papers focused on Numerical methods for differential equations (52 papers), Advanced Numerical Methods in Computational Mathematics (31 papers) and Matrix Theory and Algorithms (30 papers). Donato Trigiante collaborates with scholars based in Italy, United States and Netherlands. Donato Trigiante's co-authors include Luigi Brugnano, Felice Iavernaro, Francesca Mazzia, Lidia Aceto, L. Lopez, Alessandra Sestini, Pierluigi Amodio, George Psihoyios, Ch. Tsitouras and Theodore E. Simos and has published in prestigious journals such as Mathematics of Computation, Computer Physics Communications and SIAM Journal on Numerical Analysis.

In The Last Decade

Donato Trigiante

76 papers receiving 1.5k citations

Peers — A (Enhanced Table)

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

Name h Career Trend Papers Cites
Donato Trigiante Italy 24 1.3k 669 565 461 216 81 1.6k
Felice Iavernaro Italy 24 1.2k 0.9× 504 0.8× 456 0.8× 440 1.0× 304 1.4× 88 1.4k
Georgios Akrivis Greece 23 1.0k 0.8× 946 1.4× 348 0.6× 289 0.6× 223 1.0× 64 1.7k
Xinyuan Wu China 27 2.1k 1.6× 685 1.0× 595 1.1× 998 2.2× 333 1.5× 154 2.5k
Z. Jackiewicz United States 28 2.4k 1.8× 1.1k 1.7× 999 1.8× 577 1.3× 225 1.0× 173 2.7k
Beatrice Paternoster Italy 23 1.2k 0.9× 295 0.4× 427 0.8× 289 0.6× 260 1.2× 112 1.5k
Heping Ma China 19 632 0.5× 592 0.9× 254 0.4× 160 0.3× 183 0.8× 69 1.2k
Z. Kalogiratou Greece 22 1.7k 1.3× 672 1.0× 491 0.9× 1.1k 2.4× 213 1.0× 62 1.8k
L. Rández Spain 21 1000 0.7× 528 0.8× 385 0.7× 345 0.7× 185 0.9× 69 1.2k
J.I. Montijano Spain 18 909 0.7× 467 0.7× 391 0.7× 313 0.7× 178 0.8× 93 1.2k
Olavi Nevanlinna Finland 19 997 0.7× 585 0.9× 805 1.4× 265 0.6× 101 0.5× 77 1.5k

Countries citing papers authored by Donato Trigiante

Since Specialization
Citations

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

Fields of papers citing papers by Donato Trigiante

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of Donato Trigiante

This figure shows the co-authorship network connecting the top 25 collaborators of Donato Trigiante. A scholar is included among the top collaborators of Donato Trigiante 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 Donato Trigiante. Donato Trigiante 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.
Mazzia, Francesca & Donato Trigiante. (2010). Efficient strategies for solving nonlinear problems in BVPs codes. Nonlinear studies. 17(4). 309–326. 1 indexed citations
2.
Brugnano, Luigi, Felice Iavernaro, & Donato Trigiante. (2009). Analisys of Hamiltonian Boundary Value Methods (HBVMs) for the numerical solution of polynomial Hamiltonian dynamical systems. arXiv (Cornell University). 12 indexed citations
3.
Iavernaro, Felice & Donato Trigiante. (2009). Continued fractions without fractions: Lagrange theorem and Pell equations. Nonlinear Analysis. 71(12). e2136–e2151.
4.
Iavernaro, Felice & Donato Trigiante. (2007). Discrete mathematics, discrete physics and numerical methods. ˜Le œMatematiche. 62(2). 219–234. 1 indexed citations
5.
Aceto, Lidia & Donato Trigiante. (2006). The stability problem for linear multistep methods: Old and new results. Journal of Computational and Applied Mathematics. 210(1-2). 2–12. 6 indexed citations
6.
Iavernaro, Felice & Donato Trigiante. (2006). State-dependent symplecticity and area preserving numerical methods. Journal of Computational and Applied Mathematics. 205(2). 814–825. 3 indexed citations
7.
Cash, J. R., et al.. (2005). The role of conditioning in mesh selection algorithms for first order systems of linear two point boundary value problems. Journal of Computational and Applied Mathematics. 185(2). 212–224. 9 indexed citations
8.
Trigiante, Donato. (2000). Recent trends in numerical analysis. Nova Science Publishers, Inc. eBooks. 63 indexed citations
9.
Brugnano, Luigi & Donato Trigiante. (2000). Block implicit methods for Odes. Florence Research (University of Florence). 81–105. 26 indexed citations
10.
Aceto, Lidia & Donato Trigiante. (1999). Symmetric schemes, time reversal symmetry and conservative methods for Hamiltonian systems. Journal of Computational and Applied Mathematics. 107(2). 257–274. 4 indexed citations
11.
Brugnano, Luigi & Donato Trigiante. (1998). Boundary value methods: The third way between linear multistep and Runge-Kutta methods. Computers & Mathematics with Applications. 36(10-12). 269–284. 41 indexed citations
12.
Brugnano, Luigi & Donato Trigiante. (1998). Solving differential problems by multistep initial and boundary value methods. Florence Research (University of Florence). 258 indexed citations
13.
Brugnano, Luigi & Donato Trigiante. (1996). Convergence and stability of boundary value methods for ordinary differential equations. Journal of Computational and Applied Mathematics. 66(1-2). 97–109. 64 indexed citations
14.
Mazzia, Francesca & Donato Trigiante. (1994). The role of difference equations in numerical analysis. Computers & Mathematics with Applications. 28(1-3). 209–217. 4 indexed citations
15.
Brugnano, Luigi, Francesca Mazzia, & Donato Trigiante. (1993). Parallel implementation of BVM methods. Applied Numerical Mathematics. 11(1-3). 115–124. 16 indexed citations
16.
Mazzia, Francesca & Donato Trigiante. (1993). Numerical solution of singular perturbation problems. CALCOLO. 30(4). 355–369. 3 indexed citations
17.
Brugnano, Luigi & Donato Trigiante. (1992). Tridiagonal matrices: Invertibility and conditioning. Linear Algebra and its Applications. 166. 131–150. 22 indexed citations
18.
Lopez, L. & Donato Trigiante. (1989). A projection method for the numerical solution of linear systems in separable stiff differential equations. International Journal of Computer Mathematics. 30(3-4). 191–206. 2 indexed citations
19.
Trigiante, Donato, et al.. (1985). A globally convergent method for simultaneously finding polynomial roots. Mathematics of Computation. 44(169). 135–149. 22 indexed citations
20.
Lopez, L. & Donato Trigiante. (1985). A finite difference scheme for a stiff problem arising in the numerical solution of a population dynamic model with spatial diffusion. Nonlinear Analysis. 9(1). 1–12. 16 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.

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