L. P. Castro

1.5k total citations
103 papers, 862 citations indexed

About

L. P. Castro is a scholar working on Applied Mathematics, Mathematical Physics and Computational Theory and Mathematics. According to data from OpenAlex, L. P. Castro has authored 103 papers receiving a total of 862 indexed citations (citations by other indexed papers that have themselves been cited), including 74 papers in Applied Mathematics, 59 papers in Mathematical Physics and 24 papers in Computational Theory and Mathematics. Recurrent topics in L. P. Castro's work include Mathematical Analysis and Transform Methods (36 papers), Numerical methods in inverse problems (35 papers) and Algebraic and Geometric Analysis (25 papers). L. P. Castro is often cited by papers focused on Mathematical Analysis and Transform Methods (36 papers), Numerical methods in inverse problems (35 papers) and Algebraic and Geometric Analysis (25 papers). L. P. Castro collaborates with scholars based in Portugal, Vietnam and Georgia. L. P. Castro's co-authors include Frank‐Olme Speck, Nguyen Minh Tuan, António Ramos, Saburou Saitoh, F. S. Teixeira, Alexandre Almeida, Pham Ky Anh, Sergei Rogosin, Roland Duduchava and Alexei Yu. Karlovich and has published in prestigious journals such as SHILAP Revista de lepidopterología, Journal of Mathematical Analysis and Applications and Journal of Differential Equations.

In The Last Decade

L. P. Castro

95 papers receiving 791 citations

Peers — A (Enhanced Table)

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

Name h Career Trend Papers Cites
L. P. Castro Portugal 16 638 298 157 138 126 103 862
Semyon Yakubovich Portugal 15 734 1.2× 285 1.0× 39 0.2× 180 1.3× 34 0.3× 101 952
Carlo Garoni Italy 17 266 0.4× 71 0.2× 541 3.4× 65 0.5× 123 1.0× 52 841
Kenneth L. Bowers United States 13 118 0.2× 121 0.4× 154 1.0× 238 1.7× 163 1.3× 25 685
J. Szabados Hungary 14 503 0.8× 68 0.2× 93 0.6× 65 0.5× 51 0.4× 91 743
Paolo Novati Italy 15 151 0.2× 168 0.6× 293 1.9× 229 1.7× 48 0.4× 48 730
Huaian Diao China 15 184 0.3× 242 0.8× 390 2.5× 20 0.1× 91 0.7× 68 674
Radjesvarane Alexandre France 18 1.1k 1.7× 825 2.8× 129 0.8× 41 0.3× 48 0.4× 52 1.3k
Tongsong Jiang China 16 461 0.7× 59 0.2× 490 3.1× 16 0.1× 74 0.6× 59 742
Quôc Thông Lê Gia Australia 14 108 0.2× 102 0.3× 126 0.8× 47 0.3× 171 1.4× 55 537
Rolf Joachim Nessel Germany 5 519 0.8× 189 0.6× 83 0.5× 17 0.1× 26 0.2× 10 825

Countries citing papers authored by L. P. Castro

Since Specialization
Citations

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

Fields of papers citing papers by L. P. Castro

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of L. P. Castro

This figure shows the co-authorship network connecting the top 25 collaborators of L. P. Castro. A scholar is included among the top collaborators of L. P. Castro 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. P. Castro. L. P. Castro 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.
2.
Castro, L. P., et al.. (2025). Multidimensional quadratic-phase Fourier transform and its uncertainty principles. DergiPark (Istanbul University). 8(1). 15–34. 1 indexed citations
3.
Castro, L. P., Nguyen Minh Tuan, & Vu Kim Tuan. (2025). Polyconvolutions and their applications to Fredholm and Barbashin-type integral equations. Quaestiones Mathematicae. 49(3). 335–369.
4.
5.
Castro, L. P., et al.. (2023). On the Existence and Stability of Solutions for a Class of Fractional Riemann–Liouville Initial Value Problems. Mathematics. 11(2). 297–297. 4 indexed citations
6.
Castro, L. P., et al.. (2022). On the solution and Ulam-Hyers-Rassias stability of a Caputo fractional boundary value problem. Mathematical Biosciences & Engineering. 19(11). 10809–10825. 8 indexed citations
7.
Castro, L. P., et al.. (2016). On the kernels of Wiener-Hopf-Hankel operators on variable exponent Lebesgue spaces. Portuguese National Funding Agency for Science, Research and Technology (RCAAP Project by FCT). 7(2). 377–388.
8.
Castro, L. P., et al.. (2014). Solvability of singular integral equations with rotations and degenerate kernels in the vanishing coefficient case. Analysis and Applications. 13(1). 1–21. 3 indexed citations
9.
Almeida, Alexandre, L. P. Castro, & Frank‐Olme Speck. (2013). Advances in harmonic analysis and operator theory : the Stefan Samko anniversary volume. CERN Document Server (European Organization for Nuclear Research). 5 indexed citations
10.
Castro, L. P., Hiromichi Itou, & Saburou Saitoh. (2012). Numerical solutions of linear singular integral equations by means of tikhonov regularization and reproducing kernels. Houston journal of mathematics. 38(4). 1261–1276. 3 indexed citations
11.
Castro, L. P., et al.. (2011). Defect numbers of singular integral operators with Carleman shift and almost periodic coefficients. Journal of Mathematical Analysis and Applications. 387(1). 66–76. 1 indexed citations
12.
Castro, L. P., et al.. (2009). Invertibility of Matrix Wiener–Hopf plus Hankel Operators with Symbols Producing a Positive Numerical Range. Zeitschrift für Analysis und ihre Anwendungen. 28(1). 119–127. 9 indexed citations
13.
Castro, L. P., et al.. (2007). The impedance boundary-value problem of diffraction by a strip. Journal of Mathematical Analysis and Applications. 337(2). 1031–1040. 17 indexed citations
14.
Castro, L. P., et al.. (2007). Wave diffraction by a 45 degree wedge sector with Dirichlet and Neumann boundary conditions. Mathematical and Computer Modelling. 48(1-2). 114–121. 5 indexed citations
15.
Castro, L. P., et al.. (2006). A Duduchava–Saginashvili's type theory for Wiener–Hopf plus Hankel operators. Journal of Mathematical Analysis and Applications. 331(1). 329–341. 10 indexed citations
16.
Castro, L. P. & David Natroshvili. (2006). The Potential Method for the Reactance Wave Diffraction Problem in a Scale of Spaces. Georgian Mathematical Journal. 13(2). 251–260. 5 indexed citations
17.
Castro, L. P. & Bo Zhang. (2005). Invertibility of Convolution Operators in Problems of Wave Diffraction by a Strip with Reactance and Dirichlet Conditions. Zeitschrift für Analysis und ihre Anwendungen. 24(3). 545–560. 3 indexed citations
18.
Castro, L. P., Roland Duduchava, & Frank‐Olme Speck. (2005). Finite Interval Convolution Operators with Transmission Property. Integral Equations and Operator Theory. 52(2). 165–179. 5 indexed citations
19.
Castro, L. P.. (2002). Strongly elliptic operators for a plane wave diffraction problem in Bessel potential spaces.. Journal of Inequalities in Pure & Applied Mathematics. 3(2). 2 indexed citations
20.
Castro, L. P. & Frank‐Olme Speck. (1998). Regularity Properties and Generalized Inverses of Delta-Related Operators. Zeitschrift für Analysis und ihre Anwendungen. 17(3). 577–598. 23 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

Breakdown of academic impact, for papers by Semyon Yakubovich Breakdown of academic impact, for papers by Carlo Garoni Breakdown of academic impact, for papers by Kenneth L. Bowers Breakdown of academic impact, for papers by J. Szabados Breakdown of academic impact, for papers by Paolo Novati Breakdown of academic impact, for papers by Huaian Diao Breakdown of academic impact, for papers by Radjesvarane Alexandre Breakdown of academic impact, for papers by Tongsong Jiang Breakdown of academic impact, for papers by Quôc Thông Lê Gia Breakdown of academic impact, for papers by Rolf Joachim Nessel
Rankless by CCL
2026