Mark M. Meerschaert

East Lansing MI 48823

Mark M. Meerschaert
is a University Distinguished Professor in the Department of
Statistics and Probability at Michigan
State University. Meerschaert
has
professional experience in the areas of probability, statistics,
statistical physics, mathematical modeling, operations research,
partial differential equations, and applications. He started his
professional career in 1979 as a systems
analyst at Vector Research, Inc. of

Click here for a short video clip about my research, originally shown at the Michigan State University Distinguished Professor ceremony on 2 Novermber 2017.

Click here for information on the ICERM Workshop: Fractional PDEs: Theory,
Algorithms, and Applications, to be held in Providence RI on 18 -
22 June 2018.

RECENT PAPERS AND TALKS in PDF format: Click below to
download. Click here for a free PDF
viewer.

- 2017 Research Highlights, MURI Annual Review Meeting, Santa Fe NM, 11 December 2017.
- 2016 Research Highlights, MURI Annual Review Meeting, Columbia University, 05 December 2016.
- Backward Fractional Diffusion Equation, Minisymposium MS133: Fractional Partial Differential Equations: Modeling, Simulation, Application, and Analysis, 2016 SIAM Annual Meeting, Boston, 15 July 2016 (with Yong Zhang, Department of Geological Sciences, University of Alabama; and Roseanna M. Neupauer, Department of Civil, Environmental, and Architectural Engineering, University of Colorado).
- Climate data: Long range dependent or nonstationary? Dependence, Stability, and Extremes Workshop, The Fields Institute, Toronto, Ontario, Canada, 6 May 2016 (with Paul L. Anderson, Department of Mathematics and Computer Science, Albion College; Metin Eroglu, Department of Statistics and Probability, Michigan State University; Joshua French, Deparment of Mathematical and Statistical Sciences, University of Colorado, Denver; Piotr Kokoszka, Department of Statistics, Colorado State University; and Stilian Stoev, Department of Statistics, University of Michigan).

- Anomalous Diffusion with Ballistic Scaling: A New Fractional Derivative, Journal of Computational and Applied Mathematics, to appear in the Special Issue on Modern fractional dynamic systems and applications (with James F. Kelly, Department of Statistics and Probability, Michigan State University; and Cheng-Gang Li, Department of Mathematics, Southwest Jiaotong University, Chengdu, China).
- A unified spectral method for FPDEs with two-sided derivatives; part I: A fast solver, Journal of Computational Physics, to appear (with Mohsen Zayernouri and Mehdi Samiee, Department of Computational Mathematics, Science and Engineering, Michigan State University).
- The fractional advection-dispersion equation for contaminant transport, Handbook of Fractional Calculus with Applications, to appear (with James F. Kelly, Department of Statistics and Probability, Michigan State University).
- Relaxation
patterns and semi-Markov dynamics (with Bruno Toaldo, Department of
Statistical Sciences, Sapienza - University of Rome).

- Space-time
fractional Dirichlet problems (with Boris Baeumer, Department of
Mathematics and Statistics, University of Otago, Dunedin, New Zealand;
and Tomasz Luks, Institut für Mathematik, Universität
Paderborn, Warburger Strasse 100, D-33098 Paderborn, Germany).

- A Unified Spectral Method for FPDEs with Two-sided Derivatives: Stability and Error Analysis (with Mohsen Zayernouri and Mehdi Samiee, Department of Computational Mathematics, Science and Engineering, Michigan State University).
- Lagrangian approximation of vector fractional differential equations (with Yong Zhang, Department of Geological Sciences, University of Alabama).
- Inverse
subordinators and time fractional equations (with Erkan Nane,
Department of Mathematics and Statistics, Auburn University: and P.
Vellaisamy, Department of Mathematics, Indian Institute of Technology
Bombay).

- What Is the Fractional Laplacian? (with Anna Lischke, Guofei Pang, Mamikon Gulian, Fangying Song, Xiaoning Zheng, Zhiping Mao, Mark Ainsworth, and George Em Karniadakis, Division of Applied Mathematics, Brown University; Christian Glusa, Center for Computing Research, Sandia National Laboratory; and Wei Cai, Department of Mathematics, Southern Methodist University, Dallas, TX).
- Continuous time random walks and space-time fractional differential equations (with Hans-Peter Scheffler, Fachbereich Mathematik, University of Siegen, Germany).
- Parameter estimation for ARTFIMA time series, (with A. Ian McLeod, Department of Statistical and Actuarial Sciences, University of Western Ontario; and Farzad Sabzikar, Department of Statistics, Iowa State University).
- Boundary
conditions for two-sided fractional diffusion (with James F. Kelly, Department of
Statistics and Probability, Michigan State University; and Harish
Sankaranarayanan, Department of Statistics and Probability, Michigan
State University).