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ORCIDMark M. Meerschaert
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Journal Articles
- 2020
[j21]Anna Lischke, Guofei Pang
, Mamikon A. Gulian, Fangying Song, Christian 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)- 2019
- [j20]James F. Kelly, Harish Sankaranarayanan, Mark M. Meerschaert:
Boundary conditions for two-sided fractional diffusion. J. Comput. Phys. 376: 1089-1107 (2019) - [j19]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: 225-243 (2019) - [j18]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: 244-261 (2019) - 2018
- [j17]Boris Baeumer, Mihály Kovács, Mark M. Meerschaert, Harish Sankaranarayanan:
Boundary conditions for fractional diffusion. J. Comput. Appl. Math. 336: 408-424 (2018) - [j16]James F. Kelly, Cheng-Gang Li, Mark M. Meerschaert:
Anomalous diffusion with ballistic scaling: A new fractional derivative. J. Comput. Appl. Math. 339: 161-178 (2018) - [j15]Boris Baeumer, Mihály Kovács, Mark M. Meerschaert, Harish Sankaranarayanan:
Reprint of: Boundary conditions for fractional diffusion. J. Comput. Appl. Math. 339: 414-430 (2018) - 2017
- [j14]Mahmoud S. Alrawashdeh, James F. Kelly, Mark M. Meerschaert, Hans-Peter Scheffler:
Applications of inverse tempered stable subordinators. Comput. Math. Appl. 73(6): 892-905 (2017) - 2015
- [j13]Farzad Sabzikar, Mark M. Meerschaert, Jinghua Chen:
Tempered fractional calculus. J. Comput. Phys. 293: 14-28 (2015) - 2014
- [j12]C. Y. Lim, Mark M. Meerschaert, Hans-Peter Scheffler:
Parameter estimation for operator scaling random fields. J. Multivar. Anal. 123: 172-183 (2014) - 2013
- [j11]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): 693-701 (2013) - [j10]Nikolai N. Leonenko, Mark M. Meerschaert, Alla Sikorskii:
Correlation structure of fractional Pearson diffusions. Comput. Math. Appl. 66(5): 737-745 (2013) - [j9]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): 432-441 (2013) - 2012
- [j8]A. Jurlewicz, P. Kern, Mark M. Meerschaert, Hans-Peter Scheffler:
Fractional governing equations for coupled random walks. Comput. Math. Appl. 64(10): 3021-3036 (2012) - 2010
- [j7]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): 298-305 (2010) - [j6]Mark M. Meerschaert, Yong Zhang, Boris Baeumer:
Particle tracking for fractional diffusion with two time scales. Comput. Math. Appl. 59(3): 1078-1086 (2010) - [j5]Boris Baeumer, Mark M. Meerschaert:
Tempered stable Lévy motion and transient super-diffusion. J. Comput. Appl. Math. 233(10): 2438-2448 (2010) - 2009
- [j4]Hongwen Guo, Chae Young Lim, Mark M. Meerschaert:
Local Whittle estimator for anisotropic random fields. J. Multivar. Anal. 100(5): 993-1028 (2009) - 2008
- [j3]Boris Baeumer, Mihály Kovács, Mark M. Meerschaert:
Numerical solutions for fractional reaction-diffusion equations. Comput. Math. Appl. 55(10): 2212-2226 (2008) - 2007
- [j2]Charles Tadjeran, Mark M. Meerschaert:
A second-order accurate numerical method for the two-dimensional fractional diffusion equation. J. Comput. Phys. 220(2): 813-823 (2007) - 2006
- [j1]Charles Tadjeran, Mark M. Meerschaert, Hans-Peter Scheffler:
A second-order accurate numerical approximation for the fractional diffusion equation. J. Comput. Phys. 213(1): 205-213 (2006)
Informal and Other Publications
- 2017
- [i2]Mehdi Samiee, Mohsen Zayernouri, Mark M. Meerschaert:
A Unified Spectral Method for FPDEs with Two-sided Derivatives; Stability, and Error Analysis. CoRR abs/1710.08337 (2017) - [i1]Mehdi Samiee, Mohsen Zayernouri, Mark M. Meerschaert:
A Unified Spectral Method for FPDEs with Two-sided Derivatives; A Fast Solver. CoRR abs/1710.08338 (2017)
Coauthor Index
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