Mark M. Meerschaert

Publication Activity (10 Years)

Years Active: 2006-2020
Publications (10 Years): 11

Top Topics

Boundary Conditions

Counter Intuitive

Diffusion Process

Top Venues

J. Comput. Phys.

Comput. Math. Appl.

J. Comput. Appl. Math.

Publications

Anna Lischke, Guofei Pang, Mamikon A. Gulian, Fangying Song, Christian A. Glusa, Xiaoning Zheng, Zhiping Mao, Wei Cai, Mark M. Meerschaert, Mark Ainsworth, George Em Karniadakis
What is the fractional Laplacian? A comparative review with new results. J. Comput. Phys. 404 (2020)
Mehdi Samiee, Mohsen Zayernouri, Mark M. Meerschaert
A unified spectral method for FPDEs with two-sided derivatives; part I: A fast solver. J. Comput. Phys. 385 (2019)
Mehdi Samiee, Mohsen Zayernouri, Mark M. Meerschaert
A unified spectral method for FPDEs with two-sided derivatives; Part II: Stability, and error analysis. J. Comput. Phys. 385 (2019)
James F. Kelly, Harish Sankaranarayanan, Mark M. Meerschaert
Boundary conditions for two-sided fractional diffusion. J. Comput. Phys. 376 (2019)
Boris Baeumer, Mihály Kovács, Mark M. Meerschaert, Harish Sankaranarayanan
Boundary conditions for fractional diffusion. J. Comput. Appl. Math. 336 (2018)
Boris Baeumer, Mihály Kovács, Mark M. Meerschaert, Harish Sankaranarayanan
Reprint of: Boundary conditions for fractional diffusion. J. Comput. Appl. Math. 339 (2018)
James F. Kelly, Cheng-Gang Li, Mark M. Meerschaert
Anomalous diffusion with ballistic scaling: A new fractional derivative. J. Comput. Appl. Math. 339 (2018)
Mehdi Samiee, Mohsen Zayernouri, Mark M. Meerschaert
A Unified Spectral Method for FPDEs with Two-sided Derivatives; Stability, and Error Analysis. CoRR (2017)
Mehdi Samiee, Mohsen Zayernouri, Mark M. Meerschaert
A Unified Spectral Method for FPDEs with Two-sided Derivatives; A Fast Solver. CoRR (2017)
Mahmoud S. Alrawashdeh, James F. Kelly, Mark M. Meerschaert, Hans-Peter Scheffler
Applications of inverse tempered stable subordinators. Comput. Math. Appl. 73 (6) (2017)
Farzad Sabzikar, Mark M. Meerschaert, Jinghua Chen
Tempered fractional calculus. J. Comput. Phys. 293 (2015)
C. Y. Lim, Mark M. Meerschaert, Hans-Peter Scheffler
Parameter estimation for operator scaling random fields. J. Multivar. Anal. 123 (2014)
Hongmei Zhang, Fawang Liu, Mantha S. Phanikumar, Mark M. Meerschaert
A novel numerical method for the time variable fractional order mobile-immobile advection-dispersion model. Comput. Math. Appl. 66 (5) (2013)
Nikolai N. Leonenko, Mark M. Meerschaert, Alla Sikorskii
Correlation structure of fractional Pearson diffusions. Comput. Math. Appl. 66 (5) (2013)
Johnson J. GadElkarim, Richard L. Magin, Mark M. Meerschaert, Silvia Capuani, Marco Palombo, Anand R. Kumar, Alex D. Leow
Fractional Order Generalization of Anomalous Diffusion as a Multidimensional Extension of the Transmission Line Equation. IEEE J. Emerg. Sel. Topics Circuits Syst. 3 (3) (2013)
A. Jurlewicz, P. Kern, Mark M. Meerschaert, Hans-Peter Scheffler
Fractional governing equations for coupled random walks. Comput. Math. Appl. 64 (10) (2012)
Boris Baeumer, Mark M. Meerschaert
Tempered stable Lévy motion and transient super-diffusion. J. Comput. Appl. Math. 233 (10) (2010)
Mark M. Meerschaert, Yong Zhang, Boris Baeumer
Particle tracking for fractional diffusion with two time scales. Comput. Math. Appl. 59 (3) (2010)
Victor R. Vásquez, Wallace B. Whiting, Mark M. Meerschaert
Confidence interval estimation under the presence of non-Gaussian random errors: Applications to uncertainty analysis of chemical processes and simulation. Comput. Chem. Eng. 34 (3) (2010)
Hongwen Guo, Chae Young Lim, Mark M. Meerschaert
Local Whittle estimator for anisotropic random fields. J. Multivar. Anal. 100 (5) (2009)
Boris Baeumer, Mihály Kovács, Mark M. Meerschaert
Numerical solutions for fractional reaction-diffusion equations. Comput. Math. Appl. 55 (10) (2008)
Charles Tadjeran, Mark M. Meerschaert
A second-order accurate numerical method for the two-dimensional fractional diffusion equation. J. Comput. Phys. 220 (2) (2007)
Charles Tadjeran, Mark M. Meerschaert, Hans-Peter Scheffler
A second-order accurate numerical approximation for the fractional diffusion equation. J. Comput. Phys. 213 (1) (2006)