A second-order accurate numerical approximation for the fractional diffusion equation. - Charles Tadjeran; Mark M. Meerschaert; Hans-Peter Scheffler (J. Comput. Phys., 2006)

A second-order accurate numerical method for the two-dimensional fractional diffusion equation. - Charles Tadjeran; Mark M. Meerschaert (J. Comput. Phys., 2007)

Numerical solutions for fractional reaction-diffusion equations. - Boris Baeumer; Mihály Kovács; Mark M. Meerschaert (Comput. Math. Appl., 2008)

Local Whittle estimator for anisotropic random fields. - Hongwen Guo; Chae Young Lim; Mark M. Meerschaert (J. Multivar. Anal., 2009)

Confidence interval estimation under the presence of non-Gaussian random errors: Applications to uncertainty analysis of chemical processes and simulation. - Victor R. Vásquez; Wallace B. Whiting; Mark M. Meerschaert (Comput. Chem. Eng., 2010)

Particle tracking for fractional diffusion with two time scales. - Mark M. Meerschaert; Yong Zhang; Boris Baeumer (Comput. Math. Appl., 2010)

Tempered stable Lévy motion and transient super-diffusion. - Boris Baeumer; Mark M. Meerschaert (J. Comput. Appl. Math., 2010)

Fractional governing equations for coupled random walks. - A. Jurlewicz; P. Kern; Mark M. Meerschaert; Hans-Peter Scheffler (Comput. Math. Appl., 2012)

Correlation structure of fractional Pearson diffusions. - Nikolai N. Leonenko; Mark M. Meerschaert; Alla Sikorskii (Comput. Math. Appl., 2013)

A novel numerical method for the time variable fractional order mobile-immobile advection-dispersion model. - Hongmei Zhang 004; Fawang Liu; Mantha S. Phanikumar; Mark M. Meerschaert (Comput. Math. Appl., 2013)

Fractional Order Generalization of Anomalous Diffusion as a Multidimensional Extension of the Transmission Line Equation. - Johnson J. GadElkarim; Richard L. Magin; Mark M. Meerschaert; Silvia Capuani; Marco Palombo; Anand R. Kumar; Alex D. Leow (IEEE J. Emerg. Sel. Topics Circuits Syst., 2013)

Parameter estimation for operator scaling random fields. - C. Y. Lim; Mark M. Meerschaert; Hans-Peter Scheffler (J. Multivar. Anal., 2014)

Tempered fractional calculus. - Farzad Sabzikar; Mark M. Meerschaert; Jinghua Chen (J. Comput. Phys., 2015)

Applications of inverse tempered stable subordinators. - Mahmoud S. Alrawashdeh; James F. Kelly; Mark M. Meerschaert; Hans-Peter Scheffler (Comput. Math. Appl., 2017)

A Unified Spectral Method for FPDEs with Two-sided Derivatives; Stability, and Error Analysis. - Mehdi Samiee; Mohsen Zayernouri; Mark M. Meerschaert (CoRR, 2017)

A Unified Spectral Method for FPDEs with Two-sided Derivatives; A Fast Solver. - Mehdi Samiee; Mohsen Zayernouri; Mark M. Meerschaert (CoRR, 2017)

Boundary conditions for fractional diffusion. - Boris Baeumer; Mihály Kovács; Mark M. Meerschaert; Harish Sankaranarayanan (J. Comput. Appl. Math., 2018)

Reprint of: Boundary conditions for fractional diffusion. - Boris Baeumer; Mihály Kovács; Mark M. Meerschaert; Harish Sankaranarayanan (J. Comput. Appl. Math., 2018)

Anomalous diffusion with ballistic scaling: A new fractional derivative. - James F. Kelly; Cheng-Gang Li; Mark M. Meerschaert (J. Comput. Appl. Math., 2018)

Boundary conditions for two-sided fractional diffusion. - James F. Kelly; Harish Sankaranarayanan; Mark M. Meerschaert (J. Comput. Phys., 2019)

A unified spectral method for FPDEs with two-sided derivatives; part I: A fast solver. - Mehdi Samiee; Mohsen Zayernouri; Mark M. Meerschaert (J. Comput. Phys., 2019)

A unified spectral method for FPDEs with two-sided derivatives; Part II: Stability, and error analysis. - Mehdi Samiee; Mohsen Zayernouri; Mark M. Meerschaert (J. Comput. Phys., 2019)

What is the fractional Laplacian? A comparative review with new results. - Anna Lischke; Guofei Pang; Mamikon A. Gulian; Fangying Song; Christian Glusa; Xiaoning Zheng; Zhiping Mao; Wei Cai 003; Mark M. Meerschaert; Mark Ainsworth; George Em Karniadakis (J. Comput. Phys., 2020)