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Mathematics

D-Index
77
Citations
25374
World Ranking
181
National Ranking
107

Overview

Mark M. Meerschaert was affiliated with Michigan State University in the United States. The research work conducted by Meerschaert spanned several areas related to applied mathematics, statistical modeling, and engineering analysis.

Their recent publications included the following papers:

  • A Unified Petrov-Galerkin Spectral Method and Fast Solver for Distributed-Order Partial Differential Equations, 2020, Communications on Applied Mathematics and Computation
  • An integrated sensitivity-uncertainty quantification framework for stochastic phase-field modeling of material damage, 2020, International Journal for Numerical Methods in Engineering
  • Parsimonious time series modeling for high frequency climate data, 2020, Journal of Time Series Analysis
  • Exponents of operator self-similar random fields, 2020, UNC Libraries

The frequent co-authors collaborating with Meerschaert were:

  • Mohsen Zayernouri
  • Mehdi Samiee
  • Ehsan Kharazmi
  • Eduardo A. Barros de Moraes
  • Paul L. Anderson

Research was published in a variety of venues including:

  • Communications on Applied Mathematics and Computation
  • International Journal for Numerical Methods in Engineering
  • Journal of Time Series Analysis
  • UNC Libraries

The scientific work engaged with fields such as:

  • Statistics, Probability and Uncertainty
  • Modeling and Simulation
  • Numerical Analysis
  • Environmental Engineering
  • Mechanics of Materials

Key topics pertaining to the work included:

  • Probabilistic and Robust Engineering Design
  • Fractional Differential Equations Solutions
  • Differential Equations and Numerical Methods
  • Wind and Air Flow Studies
  • Fatigue and fracture mechanics
  • Financial Risk and Volatility Modeling
  • Complex Systems and Time Series Analysis

Best Publications

  • Finite difference approximations for fractional advection-dispersion flow equations

    Mark M. Meerschaert;Charles Tadjeran

  • Application of a fractional advection-dispersion equation

    David A. Benson;Stephen W. Wheatcraft;Mark M. Meerschaert

  • Finite difference approximations for two-sided space-fractional partial differential equations

    Mark M. Meerschaert;Charles Tadjeran

  • The fractional‐order governing equation of Lévy Motion

    David A. Benson;Stephen W. Wheatcraft;Mark M. Meerschaert

  • Stochastic Models for Fractional Calculus

    Mark M. Meerschaert;Alla Sikorskii

  • A second-order accurate numerical approximation for the fractional diffusion equation

    Charles Tadjeran;Mark M. Meerschaert;Hans-Peter Scheffler

  • Fractal mobile/immobile solute transport

    Rina Schumer;David A. Benson;Mark M. Meerschaert;Boris Baeumer

  • Fractional Dispersion, Lévy Motion, and the MADE Tracer Tests

    David A. Benson;Rina Schumer;Mark M. Meerschaert;Stephen W. Wheatcraft

  • Limit theorems for continuous-time random walks with infinite mean waiting times

    Mark M. Meerschaert;Hans-Peter Scheffler

  • Limit Distributions for Sums of Independent Random Vectors: Heavy Tails in Theory and Practice

    Hans-Peter Scheffler;Mark M. Meerschaert

  • Finite difference methods for two-dimensional fractional dispersion equation

    Mark M. Meerschaert;Hans-Peter Scheffler;Charles Tadjeran

  • Eulerian derivation of the fractional advection-dispersion equation.

    Rina Schumer;David A. Benson;Mark M. Meerschaert;Stephen W. Wheatcraft

  • Stochastic solution of space-time fractional diffusion equations.

    Mark M. Meerschaert;David A. Benson;Hans-Peter Scheffler;Boris Baeumer

  • What is the fractional Laplacian? A comparative review with new results

    Anna Lischke;Guofei Pang;Mamikon A. Gulian;Fangying Song

  • A second-order accurate numerical method for the two-dimensional fractional diffusion equation

    Charles Tadjeran;Mark M. Meerschaert

  • Parameter Estimation for the Truncated Pareto Distribution

    Inmaculada B Aban;Mark M Meerschaert;Anna K Panorska

  • Tempered fractional calculus

    Farzad Sabzikar;Mark M. Meerschaert;Jinghua Chen

  • Tempered anomalous diffusion in heterogeneous systems

    Mark M. Meerschaert;Yong Zhang;Boris Baeumer

  • Multidimensional advection and fractional dispersion.

    Mark M. Meerschaert;David A. Benson;Boris Bäumer

  • Fractional advection‐dispersion equations for modeling transport at the Earth surface

    Rina Schumer;Mark M. Meerschaert;Boris Baeumer

  • Regular variation in

    Mark M. Meerschaert

Frequent Co-Authors

Boris Baeumer
Boris Baeumer University of Otago
Yimin Xiao
Yimin Xiao Michigan State University
Fawang Liu
Fawang Liu Queensland University of Technology
David W. Hyndman
David W. Hyndman The University of Texas at Dallas
Nikolai N. Leonenko
Nikolai N. Leonenko Cardiff University
Diogo Bolster
Diogo Bolster University of Notre Dame
James J. Butler
James J. Butler University of Kansas
Aaron I. Packman
Aaron I. Packman Northwestern University
George Em Karniadakis
George Em Karniadakis Brown University

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Best Scientists Citing Mark M. Meerschaert