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.

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

- Fractional calculus and turbulence, ARO Fluid Dynamics Program Review, Research Triangle Park, North Carolina, August 2018 (with B. Baeumer, Maths & Stats, University of Otago, New Zealand; D. Benson, Geological Engineering, Colorado School of Mines; J. Kelly, Statistics and Probability, Michigan State University; M. Kovács, Chalmers U. Technology, Sweden; T. Luks, Mathematics, Uni. Paderborn, Germany; M.S. Phanikumar, Civil & Envir. Eng., Michigan State U; F. Sabzikar, Department of Statistics, Iowa State University; M. Samiee, Comput. Math. Sci. Eng., Michigan State U; H.-P. Scheffler, Math, Universität Siegen, Germany; R. Schumer, Hydrology, Desert Research Institute, Reno, Nevada; A. Sikorskii, Statistics and Probability, Michigan State U; C. Tadjeran, happily retired; S. W. Wheatcraft, Geological Sciences, U. Nevada, Reno; M. Zayernouri, Comput. Math. Sci. Eng., Michigan State U; A. Zeleke, Lyman Briggs College, Michigan State U; and Y. Zhang, Department of Geological Sciences, U. Alabama).

- 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).
- Inverse subordinators and time fractional equations, Handbook of Fractional Calculus with Applications, to appear (with Erkan Nane, Department of Mathematics and Statistics, Auburn University: and P. Vellaisamy, Department of Mathematics, Indian Institute of Technology Bombay).
- Continuous time random walks and space-time fractional differential equations, Handbook of Fractional Calculus with Applications, to appear (with Hans-Peter Scheffler, Fachbereich Mathematik, University of Siegen, Germany).
- Space-time fractional Dirichlet problems, Mathematische Nachrichten, to appear (with Boris Baeumer, Department of Mathematics and Statistics, University of Otago, Dunedin, New Zealand; and Tomasz Luks, Institut für Mathematik, Universität Paderborn, Germany).
- A Unified Spectral Method for FPDEs with Two-sided Derivatives; Part II: Stability and Error Analysis, Journal of Computational Physics, to appear (with Mohsen Zayernouri and Mehdi Samiee, Department of Computational Mathematics, Science and Engineering, Michigan State University).
- Relaxation
patterns and semi-Markov dynamics, Stochastic Processes and their Applications,
to appear (with Bruno Toaldo, Department of
Statistical Sciences, Sapienza - University of Rome).

- Particle
tracking, Handbook of Fractional
Calculus
with
Applications, to appear (with
Yong Zhang, Department of Geological Sciences, University of Alabama).

- 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).

- 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).
- Petrov-Galerkin Method for Fully Distributed-Order Fractional Partial Differential Equations (with Mohsen Zayernouri, Mehdi Samiee, and Ehsan Kharazmi, Department of Computational Mathematics, Science and Engineering, Michigan State University).
- Semi-fractional diffusion equations (with Svenja Lage and Peter Kern, Mathematical Institute, Heinrich-Heine-University Düsseldorf, Germany).
- Space-Time Duality and Fractional Hyperdiffusion (with James F. Kelly, Department of Statistics and Probability, Michigan State University).