Renato Spigler

5.6k total citations · 1 hit paper
135 papers, 3.8k citations indexed

About

Renato Spigler is a scholar working on Numerical Analysis, Computational Theory and Mathematics and Applied Mathematics. According to data from OpenAlex, Renato Spigler has authored 135 papers receiving a total of 3.8k indexed citations (citations by other indexed papers that have themselves been cited), including 41 papers in Numerical Analysis, 33 papers in Computational Theory and Mathematics and 30 papers in Applied Mathematics. Recurrent topics in Renato Spigler's work include Differential Equations and Numerical Methods (23 papers), Numerical methods for differential equations (18 papers) and Advanced Mathematical Modeling in Engineering (18 papers). Renato Spigler is often cited by papers focused on Differential Equations and Numerical Methods (23 papers), Numerical methods for differential equations (18 papers) and Advanced Mathematical Modeling in Engineering (18 papers). Renato Spigler collaborates with scholars based in Italy, Spain and United States. Renato Spigler's co-authors include Juan A. Acebrón, L. L. Bonilla, C. J. Pérez Vicente, Félix Ritort, Danilo Costarellı, Marco Vianello, John C. Neu, Mikhail M. Lavrentiev, Silvia Palpacelli and Sauro Succi and has published in prestigious journals such as Physical Review Letters, SHILAP Revista de lepidopterología and Reviews of Modern Physics.

In The Last Decade

Renato Spigler

126 papers receiving 3.5k 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.

The Kuramoto model: A simple paradigm for synchronization phenomena

2005 2.3k citations Renato Spigler et al. profile →

Peers

Renato Spigler

CNC

SNP

CN

BE

AI

S. Yoshizawa Japan

Frank C. Hoppensteadt United States

Martin Golubitsky United States

Floris Takens Netherlands

Peter Ashwin United Kingdom

Thomas Erneux Belgium

David G. Schaeffer United States

William C. Troy United States

L. L. Bonilla Spain

Bernd Krauskopf United Kingdom

S. Yoshizawa Japan

Renato Spigler

1.4k ×0.6

CNC

1.7k ×1.4

SNP

1.0k ×1.3

CN

286 ×0.4

BE

621 ×1.7

AI

Citations per year, relative to Renato Spigler Renato Spigler (= 1×) peers S. Yoshizawa

Countries citing papers authored by Renato Spigler

Since Specialization

Citations

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

Fields of papers citing papers by Renato Spigler

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of Renato Spigler

This figure shows the co-authorship network connecting the top 25 collaborators of Renato Spigler. A scholar is included among the top collaborators of Renato Spigler 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 Renato Spigler. Renato Spigler 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

1.

Spigler, Renato. (2025). A Brief Survey on the Riemann Hypothesis and Some Attempts to Prove It. Symmetry. 17(2). 225–225.

2.

Spigler, Renato. (2018). Asymptotic-numerical approximations for highly oscillatory second-order differential equations by the phase function method. Journal of Mathematical Analysis and Applications. 463(1). 318–344. 4 indexed citations

3.

Spigler, Renato, et al.. (2013). Numerical solution of two-dimensional fractional diffusion equations by a high-order ADI method. Iris (Roma Tre University). 3(2). 3 indexed citations

4.

Costarellı, Danilo, et al.. (2013). Asymptotic-numerical solution of nonlinear systems of one-dimensional balance laws. Journal of Computational Physics. 245. 347–363. 1 indexed citations

5.

Costarellı, Danilo & Renato Spigler. (2013). Multivariate neural network operators with sigmoidal activation functions. Neural Networks. 48. 72–77. 65 indexed citations

6.

Spigler, Renato, et al.. (2012). Random perturbations effects on the stability of Tension Leg Platforms in offshore engineering and of other large structures. Applied Mathematical Modelling. 37(5). 2881–2899. 2 indexed citations

7.

Orlovsky, Dmitry, Sergey Piskarev, & Renato Spigler. (2010). On approximation of inverse problems for abstract hyperbolic equations. Taiwanese Journal of Mathematics. 14. 1145–1167. 5 indexed citations

8.

Spigler, Renato, et al.. (2010). Applied and industrial mathematics in Italy III : selected contributions from the 9th SIMAI Conference, Rome, Italy, 15-19 September 2008. WORLD SCIENTIFIC eBooks. 2 indexed citations

9.

Palpacelli, Silvia, Sauro Succi, & Renato Spigler. (2007). Ground-state computation of Bose-Einstein condensates by an imaginary-time quantum lattice Boltzmann scheme. Physical Review E. 76(3). 36712–36712. 36 indexed citations

10.

Spigler, Renato, et al.. (2006). Supremum principles for the higher-order derivatives of solutions to the Dirichlet problem for parabolic equations without compatibility conditions between the data. Journal of Differential Equations. 230(1). 86–127.

11.

Primicerio, Mario, et al.. (2005). Applied and industrial mathematics in Italy : proceedings of the 7th Conference : Venice, Italy 20-24 September 2004. WORLD SCIENTIFIC eBooks. 1 indexed citations

12.

Spigler, Renato. (2003). Divulgare la matematica attraverso le sue applicazioni. Bollettino Della Unione Matematica Italiana. 6(3). 521–530. 32 indexed citations

13.

Lavrentiev, Mikhail M., et al.. (2002). Existence and uniqueness of classical solutions to certain nonlinear integro-differential Fokker-Planck type equations.. SHILAP Revista de lepidopterología. 2002. 5 indexed citations

14.

Spigler, Renato & Marco Vianello. (2000). A variant of the complex Liouville-Green approximation theorem. Archivum Mathematicum. 36(3). 213–218. 1 indexed citations

15.

Spigler, Renato & Stephanos Venakides. (1997). Recent Advances in Partial Differential Equations, Venice 1996. 7 indexed citations

16.

Spigler, Renato & Michelangelo Vianello. (1993). Cesaro′s Theorems for Complex Sequences. Journal of Mathematical Analysis and Applications. 180(2). 317–324. 6 indexed citations

17.

Spigler, Renato & Marco Vianello. (1993). Finite moments perturbations of 𝑦”=0 in Banach algebras. Proceedings of the American Mathematical Society. 119(1). 97–103. 4 indexed citations

18.

Spigler, Renato & Marco Vianello. (1992). Improved estimates for the derivatives of the O-symbols in view of numerical applications. Journal of Mathematical Analysis and Applications. 164(2). 480–488. 1 indexed citations

19.

Spigler, Renato. (1982). An application of group theory to matrices and to ordinary differential equations. Linear Algebra and its Applications. 44. 143–151. 2 indexed citations

20.

DiBenedetto, Emmanuele & Renato Spigler. (1981). An Algorithm for the One-Phase Stefan Problem.. Rendiconti del Seminario Matematico della Università di Padova. 69. 109–134. 1 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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