John Paul Roop

1.9k total citations · 1 hit paper
23 papers, 1.5k citations indexed

About

John Paul Roop is a scholar working on Numerical Analysis, Modeling and Simulation and Computational Mechanics. According to data from OpenAlex, John Paul Roop has authored 23 papers receiving a total of 1.5k indexed citations (citations by other indexed papers that have themselves been cited), including 8 papers in Numerical Analysis, 8 papers in Modeling and Simulation and 7 papers in Computational Mechanics. Recurrent topics in John Paul Roop's work include Fractional Differential Equations Solutions (8 papers), Differential Equations and Numerical Methods (8 papers) and Advanced Numerical Methods in Computational Mathematics (5 papers). John Paul Roop is often cited by papers focused on Fractional Differential Equations Solutions (8 papers), Differential Equations and Numerical Methods (8 papers) and Advanced Numerical Methods in Computational Mathematics (5 papers). John Paul Roop collaborates with scholars based in United States, Chile and United Kingdom. John Paul Roop's co-authors include Vincent J. Ervin, Norbert Heuer, Jeff Borggaard, Traian Iliescu, Guoqing Tang, George A. Dominguez, Dmitry I. Gabrilovich, Solomon Bililign, Robert A. Somer and Frank J. Rauscher and has published in prestigious journals such as Journal of Clinical Oncology, SHILAP Revista de lepidopterología and Clinical Cancer Research.

In The Last Decade

John Paul Roop

22 papers receiving 1.4k 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.

Variational formulation for the stationary fractional advection dispersion equation

2005 584 citations Vincent J. Ervin, John Paul Roop Numerical Methods for Partial Differential Equations profile →

Peers

John Paul Roop

Da Xu China

Yumin Lin China

Yingzhen Lin China

Kassem Mustapha Saudi Arabia

Anatoly A. Alikhanov Russia

Yubin Yan United Kingdom

Xiangcheng Zheng China

Mingrong Cui China

J.L. Gracia Spain

Xianjuan Li China

Da Xu China

John Paul Roop

1.6k ×1.2

1.6k ×1.4

518 ×1.0

285 ×0.7

120 ×0.9

Citations per year, relative to John Paul Roop John Paul Roop (= 1×) peers Da Xu

Countries citing papers authored by John Paul Roop

Since Specialization

Citations

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

Fields of papers citing papers by John Paul Roop

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by John Paul Roop. 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 John Paul Roop. The network helps show where John Paul Roop may publish in the future.

Co-authorship network of co-authors of John Paul Roop

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

All Works

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20 of 20 papers shown

Roop, John Paul. (2024). A randomized neural network based Petrov–Galerkin method for approximating the solution of fractional order boundary value problems. Results in Applied Mathematics. 23. 100493–100493. 3 indexed citations

Dominguez, George A., et al.. (2020). Abstract A12: Combining the immunophenotyping of MDSCs and lymphocytes with artificial intelligence (AI) to predict early-stage breast cancer. Cancer Immunology Research. 8(4_Supplement). A12–A12.

Dominguez, George A., et al.. (2020). Detecting Prostate Cancer Using Pattern Recognition Neural Networks With Flow Cytometry-Based Immunophenotyping in At-Risk Men. Biomarker Insights. 15. 2138507972–2138507972. 3 indexed citations

Dominguez, George A., et al.. (2020). Abstract B50: Using pattern recognition neural networks to detect prostate cancer: A new method to analyze flow cytometry-based immunophenotyping using machine learning. Clinical Cancer Research. 26(11_Supplement). B50–B50. 1 indexed citations

Roop, John Paul, et al.. (2019). Changing Students’ Perception of Mathematics Through Active Learning. International Journal of Education. 11(1). 29–29. 4 indexed citations

Roop, John Paul, et al.. (2017). Is Active Learning with Technology Changing Minority Students’ Attitudes Towards Mathematics?. Society for Information Technology & Teacher Education International Conference. 1938–1943. 1 indexed citations

Ervin, Vincent J., Norbert Heuer, & John Paul Roop. (2017). Regularity of the solution to 1-D fractional order diffusion equations. Mathematics of Computation. 87(313). 2273–2294. 90 indexed citations

Bililign, Solomon, et al.. (2015). A university without departments and colleges -A new structure to strengthen disciplinary and interdisciplinary education and research. International Journal for Innovation Education and Research. 3(11). 117–130. 1 indexed citations

Roop, John Paul. (2013). A Proper-Orthogonal Decomposition Variational Multiscale Approximation Method for a Generalized Oseen Problem. 2013. 1–8. 5 indexed citations

10.

Borggaard, Jeff, Traian Iliescu, & John Paul Roop. (2011). Two‐level discretization of the Navier‐Stokes equations with r‐Laplacian subgridscale viscosity. Numerical Methods for Partial Differential Equations. 28(3). 1056–1078. 20 indexed citations

11.

Roop, John Paul, et al.. (2010). A Family of Sixth-Order Compact Finite-Difference Schemes for the Three-Dimensional Poisson Equation. SHILAP Revista de lepidopterología. 2010. 1–17. 8 indexed citations

12.

Borggaard, Jeff, Traian Iliescu, & John Paul Roop. (2008). An improved penalty method for power-law Stokes problems. Journal of Computational and Applied Mathematics. 223(2). 646–658. 5 indexed citations

13.

Roop, John Paul. (2008). Numerical approximation of a one-dimensional space fractional advection–dispersion equation with boundary layer. Computers & Mathematics with Applications. 56(7). 1808–1819. 35 indexed citations

14.

Borggaard, Jeff, et al.. (2008). A Two-Level Discretization Method for the Smagorinsky Model. Multiscale Modeling and Simulation. 7(2). 599–621. 22 indexed citations

15.

Roop, John Paul. (2007). Numerical comparison of nonlinear subgridscale models via adaptive mesh refinement. Mathematical and Computer Modelling. 46(11-12). 1487–1506. 3 indexed citations

16.

Ervin, Vincent J., Norbert Heuer, & John Paul Roop. (2007). Numerical Approximation of a Time Dependent, Nonlinear, Space‐Fractional Diffusion Equation. SIAM Journal on Numerical Analysis. 45(2). 572–591. 219 indexed citations

17.

Ervin, Vincent J. & John Paul Roop. (2006). Variational solution of fractional advection dispersion equations on bounded domains in ℝ^d. Numerical Methods for Partial Differential Equations. 23(2). 256–281. 219 indexed citations

18.

Roop, John Paul. (2005). Computational aspects of FEM approximation of fractional advection dispersion equations on bounded domains in R2. Journal of Computational and Applied Mathematics. 193(1). 243–268. 212 indexed citations

19.

Ervin, Vincent J. & John Paul Roop. (2005). Variational formulation for the stationary fractional advection dispersion equation. Numerical Methods for Partial Differential Equations. 22(3). 558–576. 584 indexed citations breakdown →

20.

Roop, John Paul. (2004). Variational Solution of the Fractional Advection Dispersion Equation. TigerPrints (Clemson University). 78 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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