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.
Elementary Differential Equations and Boundary Value Problems.
19791.4k citationsDonald H. Trahan, William E. Boyce et al.American Mathematical Monthlyprofile →
Countries citing papers authored by Donald H. Trahan
Since Specialization
Citations
This map shows the geographic impact of Donald H. Trahan'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 Donald H. Trahan with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites Donald H. Trahan more than expected).
Fields of papers citing papers by Donald H. Trahan
This network shows the impact of papers produced by Donald H. Trahan. 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 Donald H. Trahan. The network helps show where Donald H. Trahan may publish in the future.
Co-authorship network of co-authors of Donald H. Trahan
This figure shows the co-authorship network connecting the top 25 collaborators of Donald H. Trahan.
A scholar is included among the top collaborators of Donald H. Trahan 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 Donald H. Trahan. Donald H. Trahan is excluded from
the visualization to improve readability, since they are connected to all nodes in the network.
Donald H. Trahan is a scholar working on Geometry and Topology, Applied Mathematics and Statistical and Nonlinear Physics, having authored 10 papers that have together received 1.5k indexed citations. Recurring topics across this work include Experimental and Theoretical Physics Studies (2 papers), Algebraic and Geometric Analysis (2 papers) and Analytic and geometric function theory (1 paper). The work is most often cited by research in Modeling and Simulation (118 citations), Numerical Analysis (134 citations) and Statistical and Nonlinear Physics (152 citations). Donald H. Trahan has collaborated with scholars based in United States and Belgium. Frequent co-authors include R. C. DiPrima and William E. Boyce. Their work appears in journals such as American Mathematical Monthly, Mathematische Zeitschrift and Mathematics Magazine.
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.