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1

Finite difference approximations for fractional advection–dispersion flow equations

Mark M. Meerschaert, Charles Tadjeran

Journal:

Journal of Computational and Applied Mathematics

Year:

2004

Language:

english

File:

PDF, 273 KB

english, 2004

2

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

Mark M. Meerschaert, Charles Tadjeran

Journal:

Applied Numerical Mathematics

Year:

2006

Language:

english

File:

PDF, 106 KB

english, 2006

3

Numerical methods for solving the multi-term time-fractional wave-diffusion equation

Fawang Liu, Mark M. Meerschaert, Robert J. McGough, Pinghui Zhuang, Qingxia Liu

Journal:

Fractional Calculus and Applied Analysis

Year:

2013

Language:

english

File:

PDF, 238 KB

english, 2013

4

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

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

Journal:

Journal of Computational Physics

Year:

2006

Language:

english

File:

PDF, 176 KB

english, 2006

5

Application of a fractional advection-dispersion equation

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

Journal:

Water Resources Research

Year:

2000

Language:

english

File:

PDF, 1.10 MB

english, 2000

6

Fractional Differential Equations

Liu, Fawang, Meerschaert, Mark M., Momani, Shaher, Leonenko, Nikolai N., Chen, Wen, Agrawal, Om P.

Journal:

International Journal of Differential Equations

Year:

2010

Language:

english

File:

PDF, 44 KB

english, 2010

7

Finite difference methods for two-dimensional fractional dispersion equation

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

Journal:

Journal of Computational Physics

Year:

2006

Language:

english

File:

PDF, 226 KB

english, 2006

8

The fractional-order governing equation of Lévy Motion

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

Journal:

Water Resources Research

Year:

2000

Language:

english

File:

PDF, 1.27 MB

english, 2000

9

Coupled continuous time random walks in finance

Mark M. Meerschaert, Enrico Scalas

Journal:

Physica A: Statistical Mechanics and its Applications

Year:

2006

Language:

english

File:

PDF, 290 KB

english, 2006

10

Fractional wave equations with attenuation

Peter Straka, Mark M. Meerschaert, Robert J. McGough, Yuzhen Zhou

Journal:

Fractional Calculus and Applied Analysis

Year:

2013

Language:

english

File:

PDF, 191 KB

english, 2013

11

Mathematical Modeling || Introduction to Probability Models

Meerschaert, Mark M.

Year:

2013

Language:

english

File:

PDF, 248 KB

english, 2013

12

Fractional Cauchy problems on bounded domains

Meerschaert, Mark M., Nane, Erkan, Vellaisamy, P.

Journal:

The Annals of Probability

Year:

2009

Language:

english

File:

PDF, 252 KB

english, 2009

13

Fourier-PARMA Models and Their Application to River Flows

Anderson, Paul L., Tesfaye, Yonas Gebeyehu, Meerschaert, Mark M.

Journal:

Journal of Hydrologic Engineering

Year:

2007

Language:

english

File:

PDF, 452 KB

english, 2007

14

FracFit: A robust parameter estimation tool for fractional calculus models

Kelly, James F., Bolster, Diogo, Meerschaert, Mark M., Drummond, Jennifer D., Packman, Aaron I.

Journal:

Water Resources Research

Year:

2017

Language:

english

File:

PDF, 1.16 MB

english, 2017

15

What Is the Fractional Laplacian? A Comparative Review with New Results

Lischke, Anna, Pang, Guofei, Gulian, Mamikon, Song, Fangying, Glusa, Christian, Zheng, Xiaoning, Mao, Zhiping, Cai, Wei, Meerschaert, Mark M., Ainsworth, Mark, Karniadakis, George Em

Journal:

Journal of Computational Physics

Year:

2019

Language:

english

File:

PDF, 8.51 MB

english, 2019

16

Correlated continuous time random walks

Mark M. Meerschaert, Erkan Nane, Yimin Xiao

Journal:

Statistics & Probability Letters

Year:

2009

Language:

english

File:

PDF, 681 KB

english, 2009

17

A bivariate infinitely divisible distribution with exponential and Mittag–Leffler marginals

Tomasz J. Kozubowski, Mark M. Meerschaert

Journal:

Statistics & Probability Letters

Year:

2009

Language:

english

File:

PDF, 438 KB

english, 2009

18

Numerical solutions for fractional reaction–diffusion equations

Boris Baeumer, Mihály Kovács, Mark M. Meerschaert

Journal:

Computers & Mathematics with Applications

Year:

2008

Language:

english

File:

PDF, 681 KB

english, 2008

19

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

Charles Tadjeran, Mark M. Meerschaert

Journal:

Journal of Computational Physics

Year:

2007

Language:

english

File:

PDF, 224 KB

english, 2007

20

Parameter Estimation for Periodically Stationary Time Series

Paul L. Anderson, Mark M. Meerschaert

Journal:

Journal of Time Series Analysis

Year:

2005

Language:

english

File:

PDF, 262 KB

english, 2005

21

Multiscaling fractional advection-dispersion equations and their solutions

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

Journal:

Water Resources Research

Year:

2003

Language:

english

File:

PDF, 453 KB

english, 2003

22

Fractal mobile/immobile solute transport

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

Journal:

Water Resources Research

Year:

2003

Language:

english

File:

PDF, 1.29 MB

english, 2003

23

A new stochastic model for fracture transmissivity assessment

Kozubowski, Tomasz J., Meerschaert, Mark M., Gustafson, Gunnar

Journal:

Water Resources Research

Year:

2008

Language:

english

File:

PDF, 2.21 MB

english, 2008

24

Modeling river flows with heavy tails

Anderson, Paul L., Meerschaert, Mark M.

Journal:

Water Resources Research

Year:

1998

Language:

english

File:

PDF, 1.11 MB

english, 1998

25

Forecasting with prediction intervals for periodic autoregressive moving average models

Paul L. Anderson, Mark M. Meerschaert, Kai Zhang

Journal:

Journal of Time Series Analysis

Year:

2012

Language:

english

File:

PDF, 384 KB

english, 2012

26

Extreme value theory with operator norming

Meerschaert, Mark M., Scheffler, Hans-Peter, Stoev, Stilian A.

Journal:

Year:

2013

Language:

english

File:

PDF, 617 KB

english, 2013

27

Mathematical Modeling || Computational Methods for Optimization

Meerschaert, Mark M.

Year:

2013

Language:

english

File:

PDF, 447 KB

english, 2013

28

Mathematical Modeling || Multivariable Optimization

Meerschaert, Mark M.

Year:

2013

Language:

english

File:

PDF, 1.62 MB

english, 2013

29

Parameter Estimation for the Truncated Pareto Distribution

Inmaculada B. Aban, Mark M. Meerschaert and Anna K. Panorska

Journal:

Journal of the American Statistical Association

Year:

2006

Language:

english

File:

PDF, 996 KB

english, 2006

30

Stochastic solutions for fractional wave equations

Meerschaert, Mark M., Schilling, René L., Sikorskii, Alla

Journal:

Nonlinear Dynamics

Year:

2015

Language:

english

File:

PDF, 235 KB

english, 2015

31

Prevention of antisocial behaviour: Evaluation of an early intervention programme

Braet, Caroline, Meerschaert, Thierry, Merlevede, Els, Bosmans, Guy, Van Leeuwen, Karla, De Mey, Wim

Journal:

European Journal of Developmental Psychology

Year:

2009

Language:

english

File:

PDF, 167 KB

english, 2009

32

Brownian subordinators and fractional Cauchy problems

Baeumer, Boris, Meerschaert, Mark M., Nane, Erkan

Journal:

Transactions of the American Mathematical Society

Year:

2009

Language:

english

File:

PDF, 290 KB

english, 2009

33

Analytical time-domain Green’s functions for power-law media

Kelly, James F., McGough, Robert J., Meerschaert, Mark M.

Journal:

The Journal of the Acoustical Society of America

Year:

2008

Language:

english

File:

PDF, 369 KB

english, 2008

34

Anisotropic fractional diffusion tensor imaging

Meerschaert, M. M., Magin, R. L., Ye, A. Q.

Journal:

Journal of Vibration and Control

Year:

2015

Language:

english

File:

PDF, 439 KB

english, 2015

35

Tauberian theorems for matrix regular variation

Meerschaert, M. M., Scheffler, H.-P.

Journal:

Transactions of the American Mathematical Society

Year:

2012

Language:

english

File:

PDF, 229 KB

english, 2012

36

Fernique-type inequalities and moduli of continuity for anisotropic Gaussian random fields

Meerschaert, Mark M., Wang, Wensheng, Xiao, Yimin

Journal:

Transactions of the American Mathematical Society

Year:

2012

Language:

english

File:

PDF, 341 KB

english, 2012

37

Pseudomoments for Generalized Domains of Attraction

Mark M. Meerschaert

Journal:

Proceedings of the American Mathematical Society

Year:

1991

Language:

english

File:

PDF, 159 KB

english, 1991

38

Reflected spectrally negative stable processes and their governing equations

Baeumer, Boris, Kovács, Mihály, Meerschaert, Mark M., Schilling, René L., Straka, Peter

Journal:

Transactions of the American Mathematical Society

Year:

2015

Language:

english

File:

PDF, 380 KB

english, 2015

39

Electromyographic Detection of Paraspinal Muscle Metastasis

LaBan, Myron M., Tamler, Martin S., Wang, Ay-Ming, Meerschaert, Joseph R.

Journal:

Year:

1992

File:

PDF, 337 KB

1992

40

Backward fractional advection dispersion model for contaminant source prediction

Zhang, Yong, Meerschaert, Mark M., Neupauer, Roseanna M.

Journal:

Water Resources Research

Year:

2016

Language:

english

File:

PDF, 572 KB

english, 2016

41

Space-Time Fractional Derivative Operators

Boris Baeumer, Mark M. Meerschaert and Jeff Mortensen

Journal:

Proceedings of the American Mathematical Society

Year:

2005

Language:

english

File:

PDF, 420 KB

english, 2005

42

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

Meerschaert, Mark M., Scheffler, Hans-Peter

Journal:

Journal of Applied Probability

Year:

2004

Language:

english

File:

PDF, 185 KB

english, 2004

43

Developments in Belgian constitutional law

Lavrysen, Luc, Theunis, Jan, Goossens, Jurgen, Cannoot, Pieter, Meerschaert, Viviane

Journal:

International Journal of Constitutional Law

Year:

2017

Language:

english

File:

PDF, 106 KB

english, 2017

44

Parameter estimation for ARTFIMA time series

Sabzikar, Farzad, McLeod, Ian, Meerschaert, Mark M.

Journal:

Journal of Statistical Planning and Inference

Year:

2018

Language:

english

File:

PDF, 701 KB

english, 2018

45

The Fractional Poisson Process and the Inverse Stable Subordinator

Meerschaert, Mark, Nane, Erkan, Vellaisamy, P.

Journal:

Electronic Journal of Probability

Year:

2011

Language:

english

File:

PDF, 260 KB

english, 2011

46

Space-time duality and high-order fractional diffusion

Kelly, James F., Meerschaert, Mark M.

Journal:

Physical Review E

Year:

2019

Language:

english

File:

PDF, 674 KB

english, 2019

47

Modeling the performance of a scanning radio communications sensor

Mark M. Meerschaert, W. Peter Cherry

Journal:

Naval Research Logistics (NRL)

Year:

1988

Language:

english

File:

PDF, 416 KB

english, 1988

48

Moment Estimator for Random Vectors with Heavy Tails

Mark M. Meerschaert, Hans-Peter Scheffler

Journal:

Journal of Multivariate Analysis

Year:

1999

Language:

english

File:

PDF, 147 KB

english, 1999

49

Limit Laws for Symmetric k-Tensors of Regularly Varying Measures

Mark M Meerschaert, Hans-Peter Scheffler

Journal:

Journal of Multivariate Analysis

Year:

2000

Language:

english

File:

PDF, 249 KB

english, 2000

50

Domains of attraction of nonnormal operator-stable laws

Mark M Meerschaert

Journal:

Journal of Multivariate Analysis

Year:

1986

Language:

english

File:

PDF, 287 KB

english, 1986