Mark M. Meerschaert

22.5k total citations · 10 hit papers
203 papers, 16.2k citations indexed

About

Mark M. Meerschaert is a scholar working on Modeling and Simulation, Finance and Mathematical Physics. According to data from OpenAlex, Mark M. Meerschaert has authored 203 papers receiving a total of 16.2k indexed citations (citations by other indexed papers that have themselves been cited), including 109 papers in Modeling and Simulation, 48 papers in Finance and 45 papers in Mathematical Physics. Recurrent topics in Mark M. Meerschaert's work include Fractional Differential Equations Solutions (109 papers), Nonlinear Differential Equations Analysis (35 papers) and Financial Risk and Volatility Modeling (32 papers). Mark M. Meerschaert is often cited by papers focused on Fractional Differential Equations Solutions (109 papers), Nonlinear Differential Equations Analysis (35 papers) and Financial Risk and Volatility Modeling (32 papers). Mark M. Meerschaert collaborates with scholars based in United States, New Zealand and Germany. Mark M. Meerschaert's co-authors include David A. Benson, Charles Tadjeran, Hans‐Peter Scheffler, Stephen W. Wheatcraft, Boris Baeumer, R. Schumer, Alla Sikorskii, Erkan Nane, Farzad Sabzikar and Yong Zhang and has published in prestigious journals such as Journal of Geophysical Research Atmospheres, Journal of the American Statistical Association and Water Resources Research.

In The Last Decade

Mark M. Meerschaert

202 papers receiving 15.4k citations

Hit Papers

Finite difference approximations for fractional advection... 1993 2026 2004 2015 2004 2000 2005 2000 1993 250 500 750 1000
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.

  1. Finite difference approximations for fractional advection–dispersion flow equations
    2004 1.2k citations Mark M. Meerschaert et al. Journal of Computational and Applied Mathematics profile →
  2. Application of a fractional advection‐dispersion equation
    2000 999 citations David A. Benson, Mark M. Meerschaert et al. profile →
  3. Finite difference approximations for two-sided space-fractional partial differential equations
    2005 751 citations Mark M. Meerschaert et al. profile →
  4. The fractional‐order governing equation of Lévy Motion
    2000 620 citations David A. Benson, Mark M. Meerschaert et al. profile →
  5. Mathematical Modeling
    1993 592 citations Mark M. Meerschaert profile →
  6. A second-order accurate numerical approximation for the fractional diffusion equation
    2005 486 citations Mark M. Meerschaert, Hans‐Peter Scheffler et al. profile →
  7. Stochastic Models for Fractional Calculus
    2011 389 citations Mark M. Meerschaert, Alla Sikorskii profile →
  8. Tempered fractional calculus
    2014 280 citations Farzad Sabzikar, Mark M. Meerschaert et al. profile →
  9. Numerical methods for solving the multi-term time-fractional wave-diffusion equation
    2012 272 citations Mark M. Meerschaert et al. profile →
  10. What is the fractional Laplacian? A comparative review with new results
    2019 255 citations Mark M. Meerschaert et al. profile →

Peers

Mark M. Meerschaert
Francesco Mainardi Italy
Vo Anh Australia
David A. Benson United States
Chi‐Wang Shu United States
Shijun Liao China
Michèle Caputo Italy
Steven A. Orszag United States
Bashir Ahmad Saudi Arabia
M. Yousuff Hussaini United States
Max Gunzburger United States
Francesco Mainardi Italy
Mark M. Meerschaert
Citations per year, relative to Mark M. Meerschaert Mark M. Meerschaert (= 1×) peers Francesco Mainardi

Countries citing papers authored by Mark M. Meerschaert

Since Specialization
Citations

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

Fields of papers citing papers by Mark M. Meerschaert

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Mark M. Meerschaert. 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 Mark M. Meerschaert. The network helps show where Mark M. Meerschaert may publish in the future.

Co-authorship network of co-authors of Mark M. Meerschaert

This figure shows the co-authorship network connecting the top 25 collaborators of Mark M. Meerschaert. A scholar is included among the top collaborators of Mark M. Meerschaert 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 Mark M. Meerschaert. Mark M. Meerschaert 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.
Zayernouri, Mohsen, et al.. (2020). An integrated sensitivity‐uncertainty quantification framework for stochastic phase‐field modeling of material damage. International Journal for Numerical Methods in Engineering. 122(5). 1352–1377. 11 indexed citations
2.
Meerschaert, Mark M. & Alla Sikorskii. (2019). Stochastic Models for Fractional Calculus. 35 indexed citations
3.
Rawashdeh, Mahmoud S., James F. Kelly, Mark M. Meerschaert, & Hans‐Peter Scheffler. (2016). Applications of inverse tempered stable subordinators. Computers & Mathematics with Applications. 73(6). 892–905. 38 indexed citations
4.
Meerschaert, Mark M. & Farzad Sabzikar. (2014). Stochastic integration for tempered fractional Brownian motion. Stochastic Processes and their Applications. 124(7). 2363–2387. 36 indexed citations
5.
Leonenko, Nikolai, Mark M. Meerschaert, & Alla Sikorskii. (2013). Correlation structure of fractional Pearson diffusions. Computers & Mathematics with Applications. 66(5). 737–745. 33 indexed citations
6.
Lim, Chae Young, et al.. (2013). Parameter estimation for operator scaling random fields. Journal of Multivariate Analysis. 123. 172–183. 6 indexed citations
7.
Meerschaert, Mark M., et al.. (2012). Tauberian theorems for matrix regular variation. Transactions of the American Mathematical Society. 365(4). 2207–2221. 1 indexed citations
8.
Anderson, Paul L., Mark M. Meerschaert, & Kai Zhang. (2012). Forecasting with prediction intervals for periodic autoregressive moving average models. Journal of Time Series Analysis. 34(2). 187–193. 32 indexed citations
9.
Nane, Erkan, Mark M. Meerschaert, & P. Vellaisamy. (2010). Tempered fractional Cauchy problems on bounded domains. arXiv (Cornell University). 1 indexed citations
10.
Baeumer, Boris, et al.. (2010). Stochastic models for relativistic diffusion. Physical Review E. 82(1). 11132–11132. 11 indexed citations
11.
Baeumer, Boris, Mark M. Meerschaert, & Erkan Nane. (2009). Space–Time Duality for Fractional Diffusion. Journal of Applied Probability. 46(4). 1100–1115. 30 indexed citations
12.
Baeumer, Boris, Mark M. Meerschaert, & Erkan Nane. (2009). Space–Time Duality for Fractional Diffusion. Journal of Applied Probability. 46(4). 1100–1115. 3 indexed citations
13.
Baeumer, Boris & Mark M. Meerschaert. (2009). Tempered stable Lévy motion and transient super-diffusion. Journal of Computational and Applied Mathematics. 233(10). 2438–2448. 195 indexed citations
14.
Guo, Hongwen, Chae Young Lim, & Mark M. Meerschaert. (2008). Local Whittle estimator for anisotropic random fields. Journal of Multivariate Analysis. 100(5). 993–1028. 22 indexed citations
15.
Kozubowski, Tomasz J., Mark M. Meerschaert, & Krzysztof Podgórski. (2006). Fractional Laplace motion. Advances in Applied Probability. 38(2). 451–464. 44 indexed citations
16.
Kozubowski, Tomasz J., Mark M. Meerschaert, & Krzysztof Podgórski. (2006). Fractional Laplace motion. Advances in Applied Probability. 38(2). 451–464. 14 indexed citations
17.
Anderson, Paul L. & Mark M. Meerschaert. (2005). Parameter Estimation for Periodically Stationary Time Series. SSRN Electronic Journal. 1 indexed citations
18.
Meerschaert, Mark M., et al.. (2004). Identification of PARMA Models and Their Application to the Modeling of River flows. AGUSM. 2004. 8 indexed citations
19.
Baeumer, Boris, David A. Benson, & Mark M. Meerschaert. (2002). Advection and dispersion in time and space. RePEc: Research Papers in Economics. 2002. 1 indexed citations
20.
Aban, Inmaculada & Mark M. Meerschaert. (2001). SHIFTED HILL'S ESTIMATOR FOR HEAVY TAILS. Communications in Statistics - Simulation and Computation. 30(4). 949–962. 14 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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