Edit Profile (opens in new tab) Meerschaert, Mark Marvin Co-Author Distance Author ID: meerschaert.mark-m Published as: Meerschaert, Mark M.; Meerschaert, M. M.; Meerschaert, Mark more...less Homepage: https://www.stt.msu.edu/~mcubed/ External Links: MGP · Wikidata · Google Scholar · dblp · GND · IdRef Documents Indexed: 143 Publications since 1986, including 7 Books and 3 Additional arXiv Preprints 2 Contributions as Editor Biographic References: 1 Publication Co-Authors: 96 Co-Authors with 131 Joint Publications 2,991 Co-Co-Authors all top 5 Co-Authors 14 single-authored 40 Scheffler, Hans-Peter 16 Bäumer, Boris 10 Nane, Erkan 7 Anderson, Paul L. 7 Becker-Kern, Peter 7 Kovács, Mihály 7 Sikorskii, Alla 7 Xiao, Yimin 6 Sabzikar, Farzad 5 Straka, Peter 5 Tadjeran, Charles 5 Vellaisamy, Palaniappan 4 Kelly, James F. 4 Kozubowski, Tomasz J. 4 Samiee, Mehdi 4 Zayernouri, Mohsen 3 Aban, Inmaculada B. 3 Benson, David A. 3 Jurlewicz, Agnieszka 3 Leonenko, Nikolai N. 3 Lischke, Anna 3 Liu, Fawang 3 Sankaranarayanan, Harish 3 Schilling, René Leander 2 Ainsworth, Mark 2 Bolster, Diogo T. 2 Didier, Gustavo 2 Glusa, Christian 2 Gulian, Mamikon 2 Karniadakis, George Em 2 Kharazmi, Ehsan 2 Li, Chenggang 2 Lim, Chae Young 2 Mao, Zhiping 2 McGough, Robert 2 Mortensen, Jeff W. 2 Pang, Guofei 2 Panorska, Anna K. 2 Pipiras, Vladas 2 Song, Fangying 2 Stoev, Stilian A. 2 Veeh, Jerry Alan 2 Zheng, Xiaoning 1 Alrawashdeh, Mahmoud S. 1 Beirlant, Jan 1 Biermé, Hermine 1 Cai, Wei 1 Chakrabarti, Arijit 1 Chen, Jinghua 1 Chen, Wen 1 Chen, Zhen-Qing 1 Cherry, W. Peter 1 Cohen, Serge 1 Defterli, Ozlem 1 D’Elia, Marta 1 Du, Qiang 1 Fraga Alves, M. Isabel 1 Gomes, Ivette M. 1 Gunzburger, Max D. 1 Guo, Hongwen 1 Kavalieris, Laimonis 1 Kiryakova, Virginia S. 1 Kumar, Arun 1 Kurita, Satoko 1 Lage, Svenja 1 Lehoucq, Richard B. 1 Li, Miao 1 Liu, Qingxia 1 Liu, Quansheng 1 Luks, Tomasz 1 Magin, Richard Lloyd 1 Mandrekar, Vidyadhar S. 1 McGough, R. J. 1 McLeod, Angus Ian 1 Phanikumar, Mantha S. 1 Piskarëv, S. I. 1 Podgórski, Krzysztof 1 Podlubny, Igor 1 Rosiński, Jan 1 Roy, Parthanil 1 Shao, Qin 1 Stanislavsky, Aleksander A. 1 Tesfaye, Yonas Gebeyehu 1 Toaldo, Bruno 1 Vecchia, Aldo V. 1 Wang, Wensheng 1 Weron, Karina 1 West, Bruce J. 1 Wu, Dongsheng 1 Ye, Allen Q. 1 Yong, Zhang 1 Zhang, Kai 1 Zhang, Yong 1 Zhou, Yong 1 Zhou, Yuzhen 1 Zhuang, Pinghui all top 5 Serials 12 Statistics & Probability Letters 11 Stochastic Processes and their Applications 11 Fractional Calculus & Applied Analysis 8 Journal of Computational Physics 7 Journal of Multivariate Analysis 7 Journal of Theoretical Probability 6 Computers & Mathematics with Applications 6 The Annals of Probability 6 Journal of Time Series Analysis 5 Journal of Mathematical Analysis and Applications 5 Journal of Computational and Applied Mathematics 4 Journal of Statistical Planning and Inference 4 Proceedings of the American Mathematical Society 4 Transactions of the American Mathematical Society 3 Journal of Applied Probability 3 Publicationes Mathematicae Debrecen 2 Journal of Statistical Physics 2 Journal of Applied Analysis 2 De Gruyter Studies in Mathematics 1 Advances in Applied Probability 1 Physica A 1 Studia Mathematica 1 Bulletin of Mathematical Biology 1 Chaos, Solitons and Fractals 1 The Annals of Statistics 1 Journal of the American Statistical Association 1 Journal of Functional Analysis 1 Mathematische Nachrichten 1 Monatshefte für Mathematik 1 Naval Research Logistics 1 Publications de l’Institut Mathématique. Nouvelle Série 1 Applied Numerical Mathematics 1 Communications in Statistics. Simulation and Computation 1 Communications in Statistics. Theory and Methods 1 Electronic Journal of Probability 1 Bernoulli 1 Journal of Vibration and Control 1 Nonlinear Dynamics 1 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 1 Extremes 1 Physical Review E. Third Series 1 Mathematical Modelling of Natural Phenomena 1 Communications in Applied and Industrial Mathematics 1 Electronic Journal of Mathematical Analysis and Applications EJMAA 1 Wiley Series in Probability and Mathematical Statistics 1 Communications on Applied Mathematics and Computation all top 5 Fields 93 Probability theory and stochastic processes (60-XX) 41 Partial differential equations (35-XX) 38 Real functions (26-XX) 26 Numerical analysis (65-XX) 23 Statistics (62-XX) 16 Statistical mechanics, structure of matter (82-XX) 6 General and overarching topics; collections (00-XX) 4 Measure and integration (28-XX) 4 Operator theory (47-XX) 4 Systems theory; control (93-XX) 3 Ordinary differential equations (34-XX) 2 Special functions (33-XX) 2 Integral equations (45-XX) 2 Fluid mechanics (76-XX) 2 Geophysics (86-XX) 2 Operations research, mathematical programming (90-XX) 2 Biology and other natural sciences (92-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Topological groups, Lie groups (22-XX) 1 Sequences, series, summability (40-XX) 1 Integral transforms, operational calculus (44-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Mechanics of deformable solids (74-XX) 1 Information and communication theory, circuits (94-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 135 Publications have been cited 5,986 times in 3,282 Documents Cited by ▼ Year ▼ Finite difference approximations for fractional advection-dispersion flow equations. Zbl 1126.76346 Meerschaert, Mark M.; Tadjeran, Charles 767 2004 Finite difference approximations for two-sided space-fractional partial differential equations. Zbl 1086.65087 Meerschaert, Mark M.; Tadjeran, Charles 484 2006 A second-order accurate numerical approximation for the fractional diffusion equation. Zbl 1089.65089 Tadjeran, Charles; Meerschaert, Mark M.; Scheffler, Hans-Peter 315 2006 Stochastic models for fractional calculus. Zbl 1247.60003 Meerschaert, Mark M.; Sikorskii, Alla 299 2012 Finite difference methods for two-dimensional fractional dispersion equation. Zbl 1085.65080 Meerschaert, Mark M.; Scheffler, Hans-Peter; Tadjeran, Charles 217 2006 Numerical methods for solving the multi-term time-fractional wave-diffusion equation. Zbl 1312.65138 Liu, Fawang; Meerschaert, Mark; McGough, Robert; Zhuang, Pinghui; Liu, Qingxia 213 2013 Limit theorems for continuous-time random walks with infinite mean waiting times. Zbl 1065.60042 Meerschaert, Mark M.; Scheffler, Hans-Peter 206 2004 A second-order accurate numerical method for the two-dimensional fractional diffusion equation. Zbl 1113.65124 Tadjeran, Charles; Meerschaert, Mark M. 196 2007 Limit distributions for sums of independent random vectors. Heavy tails in theory and practice. Zbl 0990.60003 Meerschaert, Mark M.; Scheffler, Hans-Peter 180 2001 What is the fractional Laplacian? A comparative review with new results. Zbl 1453.35179 Lischke, Anna; Pang, Guofei; Gulian, Mamikon; Song, Fangying; Glusa, Christian; Zheng, Xiaoning; Mao, Zhiping; Cai, Wei; Meerschaert, Mark M.; Ainsworth, Mark; Karniadakis, George Em 139 2020 Tempered fractional calculus. Zbl 1349.26017 Sabzikar, Farzad; Meerschaert, Mark M.; Chen, Jinghua 121 2015 The fractional Poisson process and the inverse stable subordinator. Zbl 1245.60084 Meerschaert, Mark M.; Nane, Erkan; Vellaisamy, P. 118 2011 Fractional Cauchy problems on bounded domains. Zbl 1247.60078 Meerschaert, Mark M.; Nane, Erkan; Vellaisamy, P. 114 2009 A novel numerical method for the time variable fractional order mobile-immobile advection-dispersion model. Zbl 1350.65092 Zhang, H.; Liu, F.; Phanikumar, Mantha S.; Meerschaert, Mark M. 110 2013 Stochastic solutions for fractional Cauchy problems. Zbl 1057.35102 Baeumer, Boris; Meerschaert, Mark M. 107 2001 Stochastic solution of space-time fractional diffusion equations. Zbl 1244.60080 Meerschaert, Mark M.; Benson, David A.; Scheffler, Hans-Peter; Baeumer, Boris 106 2002 Triangular array limits for continuous time random walks. Zbl 1153.60023 Meerschaert, Mark M.; Scheffler, Hans-Peter 105 2008 Tempered stable Lévy motion and transient super-diffusion. Zbl 1423.60079 Baeumer, Boris; Meerschaert, Mark M. 104 2010 Distributed-order fractional diffusions on bounded domains. Zbl 1222.35204 Meerschaert, Mark M.; Nane, Erkan; Vellaisamy, P. 87 2011 Inverse stable subordinators. Zbl 1274.60153 Meerschaert, M. M.; Straka, P. 82 2013 Stochastic models for fractional calculus. 2nd revised and extended edition. Zbl 1490.60004 Meerschaert, Mark M.; Sikorskii, Alla 80 2019 Operator scaling stable random fields. Zbl 1111.60033 Biermé, Hermine; Meerschaert, Mark M.; Scheffler, Hans-Peter 77 2007 Numerical solutions for fractional reaction-diffusion equations. Zbl 1142.65422 Baeumer, Boris; Kovács, Mihály; Meerschaert, Mark M. 77 2008 Space-time fractional diffusion on bounded domains. Zbl 1251.35177 Chen, Zhen-Qing; Meerschaert, Mark M.; Nane, Erkan 70 2012 Limit theorems for coupled continuous time random walks. Zbl 1054.60052 Becker-Kern, Peter; Meerschaert, Mark M.; Scheffler, Hans-Peter 64 2004 Stochastic model for ultraslow diffusion. Zbl 1100.60024 Meerschaert, Mark M.; Scheffler, Hans-Peter 62 2006 Brownian subordinators and fractional Cauchy problems. Zbl 1186.60079 Baeumer, Boris; Meerschaert, Mark M.; Nane, Erkan 62 2009 Fractional Pearson diffusions. Zbl 1297.60057 Leonenko, Nikolai N.; Meerschaert, Mark M.; Sikorskii, Alla 61 2013 Fractional diffusion on bounded domains. Zbl 1488.35557 Defterli, Ozlem; D’Elia, Marta; Du, Qiang; Gunzburger, Max; Lehoucq, Rich; Meerschaert, Mark M. 59 2015 Parameter estimation for the truncated Pareto distribution. Zbl 1118.62312 Aban, Inmaculada B.; Meerschaert, Mark M.; Panorska, Anna K. 50 2006 Fractional reproduction-dispersal equations and heavy tail dispersal kernels. Zbl 1296.92195 Baeumer, Boris; Kovács, Mihály; Meerschaert, Mark M. 48 2007 Tempered fractional Brownian motion. Zbl 1287.60050 Meerschaert, Mark M.; Sabzikar, Farzad 44 2013 On using random walks to solve the space-fractional advection-dispersion equations. Zbl 1092.82038 Yong, Zhang; Benson, David A.; Meerschaert, Mark M.; Scheffler, Hans-Peter 43 2006 Semi-Markov approach to continuous time random walk limit processes. Zbl 1305.60089 Meerschaert, Mark M.; Straka, Peter 36 2014 Correlation structure of time-changed Lévy processes. Zbl 1329.60118 Leonenko, Nikolai N.; Meerschaert, Mark M.; Schilling, René L.; Sikorskii, Alla 36 2014 Limit theorem for continuous-time random walks with two time scales. Zbl 1050.60038 Becker-Kern, Peter; Meerschaert, Mark M.; Scheffler, Hans-Peter 34 2004 Inhomogeneous fractional diffusion equations. Zbl 1202.86005 Baeumer, Boris; Kurita, Satoko; Meerschaert, Mark M. 33 2005 Stochastic integration for tempered fractional Brownian motion. Zbl 1329.60166 Meerschaert, Mark M.; Sabzikar, Farzad 33 2014 Fernique-type inequalities and moduli of continuity for anisotropic Gaussian random fields. Zbl 1322.60069 Meerschaert, Mark M.; Wang, Wensheng; Xiao, Yimin 33 2013 Particle tracking for fractional diffusion with two time scales. Zbl 1189.65240 Meerschaert, Mark M.; Zhang, Yong; Baeumer, Boris 32 2010 Boundary conditions for fractional diffusion. Zbl 1386.35424 Baeumer, Boris; Kovács, Mihály; Meerschaert, Mark M.; Sankaranarayanan, Harish 31 2018 Correlation structure of fractional Pearson diffusions. Zbl 1381.60112 Leonenko, Nikolai N.; Meerschaert, Mark M.; Sikorskii, Alla 30 2013 Correlated continuous time random walks. Zbl 1179.60024 Meerschaert, Mark M.; Nane, Erkan; Xiao, Yimin 28 2009 Fractional governing equations for coupled random walks. Zbl 1268.60057 Jurlewicz, A.; Kern, P.; Meerschaert, M. M.; Scheffler, H.-P. 26 2012 Space-time fractional derivative operators. Zbl 1070.47043 Baeumer, Boris; Meerschaert, Mark M.; Mortensen, Jeff 25 2005 Applications of inverse tempered stable subordinators. Zbl 1409.60058 Alrawashdeh, Mahmoud S.; Kelly, James F.; Meerschaert, Mark M.; Scheffler, Hans-Peter 23 2017 Fractional Laplace motion. Zbl 1100.60017 Kozubowski, T. J.; Meerschaert, M. M.; Podgórski, K. 22 2006 Boundary conditions for two-sided fractional diffusion. Zbl 1416.35296 Kelly, James F.; Sankaranarayanan, Harish; Meerschaert, Mark M. 22 2019 Vector Grünwald formula for fractional derivatives. Zbl 1084.65024 Meerschaert, Mark M.; Mortensen, Jeff; Scheffler, Hans-Peter 21 2004 Local Whittle estimator for anisotropic random fields. Zbl 1167.62465 Guo, Hongwen; Lim, Chae Young; Meerschaert, Mark M. 21 2009 Relaxation patterns and semi-Markov dynamics. Zbl 1422.60154 Meerschaert, Mark M.; Toaldo, Bruno 21 2019 Stochastic solutions for fractional wave equations. Zbl 1345.35134 Meerschaert, Mark M.; Schilling, René L.; Sikorskii, Alla 20 2015 Tempered stable laws as random walk limits. Zbl 1225.60028 Chakrabarty, Arijit; Meerschaert, Mark M. 19 2011 Fractional calculus, anomalous diffusion, and probability. Zbl 1297.35276 Meerschaert, Mark M. 19 2012 Reflected spectrally negative stable processes and their governing equations. Zbl 1378.60075 Baeumer, Boris; Kovács, Mihály; Meerschaert, Mark M.; Schilling, René L.; Straka, Peter 19 2016 Space–time duality for fractional diffusion. Zbl 1196.60087 Baeumer, Boris; Meerschaert, Mark M.; Nane, Erkan 18 2009 Anisotropic fractional diffusion tensor imaging. Zbl 1366.92070 Meerschaert, Mark M.; Magin, Richard L.; Ye, Allen Q. 18 2016 Large deviations for local time fractional Brownian motion and applications. Zbl 1147.60025 Meerschaert, Mark M.; Nane, Erkan; Xiao, Yimin 17 2008 A simple robust estimation method for the thickness of heavy tails. Zbl 0931.62022 Meerschaert, Mark M.; Scheffler, Hans-Peter 16 1998 Parameter estimation for periodically stationary time series. Zbl 1090.62090 Anderson, Paul L.; Meerschaert, Mark M. 16 2005 Local times of multifractional Brownian sheets. Zbl 1186.60036 Meerschaert, Mark; Wu, Dongsheng; Xiao, Yimin 16 2008 Dimension results for sample paths of operator stable Lévy processes. Zbl 1074.60079 Meerschaert, Mark M.; Xiao, Yimin 16 2005 Transient anomalous sub-diffusion on bounded domains. Zbl 1266.60087 Meerschaert, Mark M.; Nane, Erkan; Vellaisamy, P. 16 2013 Fractal dimension results for continuous time random walks. Zbl 1401.60080 Meerschaert, Mark M.; Nane, Erkan; Xiao, Yimin 16 2013 Regular variation in \({\mathbb{R}}^ k\). Zbl 0648.26006 Meerschaert, Mark M. 15 1988 Periodic moving averages of random variables with regularly varying tails. Zbl 0900.62488 Anderson, Paul L.; Meerschaert, Mark M. 15 1997 Space-time fractional Dirichlet problems. Zbl 1476.35294 Baeumer, Boris; Luks, Tomasz; Meerschaert, Mark M. 15 2018 Reprint of: boundary conditions for fractional diffusion. Zbl 06867170 Baeumer, Boris; Kovács, Mihály; Meerschaert, Mark M.; Sankaranarayanan, Harish 14 2018 Semistable Lévy motion. Zbl 1032.60043 Meerschaert, Mark M.; Scheffler, Hans-Peter 13 2002 A unified spectral method for FPDEs with two-sided derivatives. I: A fast solver. Zbl 1451.65160 Samiee, Mehdi; Zayernouri, Mohsen; Meerschaert, Mark M. 13 2019 Fractional normal inverse Gaussian diffusion. Zbl 1210.60040 Kumar, A.; Meerschaert, Mark M.; Vellaisamy, P. 11 2011 Tempered fractional stable motion. Zbl 1348.60061 Meerschaert, Mark M.; Sabzikar, Farzad 11 2016 The fundamental solutions for multi-term modified power law wave equations in a finite domain. Zbl 1432.35005 Jiang, H.; Liu, F.; Meerschaert, M. M.; McGough, R. J.; Liu, Q. 11 2013 A unified Petrov-Galerkin spectral method and fast solver for distributed-order partial differential equations. Zbl 1476.65272 Samiee, Mehdi; Kharazmi, Ehsan; Meerschaert, Mark M.; Zayernouri, Mohsen 10 2021 A unified spectral method for FPDEs with two-sided derivatives. II: Stability, and error analysis. Zbl 1451.65161 Samiee, Mehdi; Zayernouri, Mohsen; Meerschaert, Mark M. 10 2019 Hausdorff dimension of operator stable sample paths. Zbl 1038.60034 Becker-Kern, Peter; Meerschaert, Mark M.; Scheffler, Hans-Peter 9 2003 Generalized least-squares estimators for the thickness of heavy tails. Zbl 1032.62044 Aban, Inmaculada B.; Meerschaert, Mark M. 9 2004 Spectral decomposition for generalized domains of attraction. Zbl 0732.60025 Meerschaert, Mark M. 9 1991 Exponents of operator self-similar random fields. Zbl 1357.60055 Didier, Gustavo; Meerschaert, Mark M.; Pipiras, Vladas 9 2017 Innovations algorithm for periodically stationary time series. Zbl 0995.62082 Anderson, P. L.; Meerschaert, M. M.; Vecchia, A. V. 9 1999 Cluster continuous time random walks. Zbl 1242.60045 Jurlewicz, Agnieszka; Meerschaert, Mark M.; Scheffler, Hans-Peter 8 2011 Domain and range symmetries of operator fractional Brownian fields. Zbl 1386.60145 Didier, Gustavo; Meerschaert, Mark M.; Pipiras, Vladas 8 2018 Parameter estimation for exponentially tempered power law distributions. Zbl 1271.62109 Meerschaert, Mark M.; Roy, Parthanil; Shao, Qin 7 2012 Moment estimator for random vectors with heavy tails. Zbl 0951.62017 Meerschaert, Mark M.; Scheffler, Hans-Peter 7 1999 Moments of random vectors which belong to some domain of normal attraction. Zbl 0706.60019 Meerschaert, Mark M. 7 1990 Fractional wave equations with attenuation. Zbl 1328.35284 Straka, Peter; Meerschaert, Mark; McGough, Robert; Zhou, Yuzhen 7 2013 Ultrafast subordinators and their hitting times. Zbl 1246.60071 Kovács, Mihály; Meerschaert, Mark M. 6 2006 Extremal limit theorems for observations separated by random power law waiting times. Zbl 1160.60321 Meerschaert, Mark M.; Stoev, Stilian A. 6 2009 Regular variation and domains of attraction in \({\mathbb{R}}^ k\). Zbl 0587.60016 Meerschaert, Mark M. 6 1986 Norming operators for generalized domains of attraction. Zbl 0807.60032 Meerschaert, Mark M. 6 1994 Clustered continuous-time random walks: diffusion and relaxation consequences. Zbl 1364.60059 Weron, Karina; Stanislavsky, Aleksander; Jurlewicz, Agnieszka; Meerschaert, Mark M.; Scheffler, Hans-Peter 6 2012 Mathematical modeling. 4th ed. Zbl 1270.93001 Meerschaert, Mark M. 6 2013 Moving averages of random vectors with regularly varying tails. Zbl 0957.62080 Meerschaert, Mark M.; Scheffler, Hans-Peter 5 2000 Sample moments and symmetric statistics. Zbl 0816.60003 Mandrekar, V.; Meerschaert, M. M. 5 1994 The operator \(\nu\)-stable laws. Zbl 1059.60019 Kozubowski, T. J.; Meerschaert, M. M.; Scheffler, H.-P. 5 2003 Regular variation and generalized domains of attraction in \(\mathbb{R}^ k\). Zbl 0796.60023 Meerschaert, Mark M. 5 1993 The structure of the exponents and symmetries of an operator stable measure. Zbl 0839.60018 Meerschaert, Mark M.; Veeh, Jerry Alan 5 1993 Shifted Hill’s estimator for heavy tails. Zbl 1008.62599 Aban, Inmaculada B.; Meerschaert, Mark M. 5 2001 Fractional dynamics at multiple times. Zbl 1263.82040 Meerschaert, Mark M.; Straka, Peter 5 2012 Parameter estimation for ARTFIMA time series. Zbl 1421.62130 Sabzikar, Farzad; McLeod, A. Ian; Meerschaert, Mark M. 5 2019 A unified Petrov-Galerkin spectral method and fast solver for distributed-order partial differential equations. Zbl 1476.65272 Samiee, Mehdi; Kharazmi, Ehsan; Meerschaert, Mark M.; Zayernouri, Mohsen 10 2021 What is the fractional Laplacian? A comparative review with new results. Zbl 1453.35179 Lischke, Anna; Pang, Guofei; Gulian, Mamikon; Song, Fangying; Glusa, Christian; Zheng, Xiaoning; Mao, Zhiping; Cai, Wei; Meerschaert, Mark M.; Ainsworth, Mark; Karniadakis, George Em 139 2020 Stochastic models for fractional calculus. 2nd revised and extended edition. Zbl 1490.60004 Meerschaert, Mark M.; Sikorskii, Alla 80 2019 Boundary conditions for two-sided fractional diffusion. Zbl 1416.35296 Kelly, James F.; Sankaranarayanan, Harish; Meerschaert, Mark M. 22 2019 Relaxation patterns and semi-Markov dynamics. Zbl 1422.60154 Meerschaert, Mark M.; Toaldo, Bruno 21 2019 A unified spectral method for FPDEs with two-sided derivatives. I: A fast solver. Zbl 1451.65160 Samiee, Mehdi; Zayernouri, Mohsen; Meerschaert, Mark M. 13 2019 A unified spectral method for FPDEs with two-sided derivatives. II: Stability, and error analysis. Zbl 1451.65161 Samiee, Mehdi; Zayernouri, Mohsen; Meerschaert, Mark M. 10 2019 Parameter estimation for ARTFIMA time series. Zbl 1421.62130 Sabzikar, Farzad; McLeod, A. Ian; Meerschaert, Mark M. 5 2019 Semi-fractional diffusion equations. Zbl 1423.35400 Kern, Peter; Lage, Svenja; Meerschaert, Mark M. 3 2019 Mass-conserving tempered fractional diffusion in a bounded interval. Zbl 1439.65132 Lischke, Anna; Kelly, James F.; Meerschaert, Mark M. 2 2019 The fractional d’Alembert’s formulas. Zbl 1433.45008 Li, Cheng-Gang; Li, Miao; Piskarev, Sergey; Meerschaert, Mark M. 1 2019 Boundary conditions for fractional diffusion. Zbl 1386.35424 Baeumer, Boris; Kovács, Mihály; Meerschaert, Mark M.; Sankaranarayanan, Harish 31 2018 Space-time fractional Dirichlet problems. Zbl 1476.35294 Baeumer, Boris; Luks, Tomasz; Meerschaert, Mark M. 15 2018 Reprint of: boundary conditions for fractional diffusion. Zbl 06867170 Baeumer, Boris; Kovács, Mihály; Meerschaert, Mark M.; Sankaranarayanan, Harish 14 2018 Domain and range symmetries of operator fractional Brownian fields. Zbl 1386.60145 Didier, Gustavo; Meerschaert, Mark M.; Pipiras, Vladas 8 2018 Asymptotic behavior of semistable Lévy exponents and applications to fractal path properties. Zbl 1387.60030 Kern, Peter; Meerschaert, Mark M.; Xiao, Yimin 4 2018 Anomalous diffusion with ballistic scaling: a new fractional derivative. Zbl 06867150 Kelly, James F.; Li, Cheng-Gang; Meerschaert, Mark M. 3 2018 Applications of inverse tempered stable subordinators. Zbl 1409.60058 Alrawashdeh, Mahmoud S.; Kelly, James F.; Meerschaert, Mark M.; Scheffler, Hans-Peter 23 2017 Exponents of operator self-similar random fields. Zbl 1357.60055 Didier, Gustavo; Meerschaert, Mark M.; Pipiras, Vladas 9 2017 Future directions in fractional calculus research and applications. Zbl 1376.00055 1 2017 Reflected spectrally negative stable processes and their governing equations. Zbl 1378.60075 Baeumer, Boris; Kovács, Mihály; Meerschaert, Mark M.; Schilling, René L.; Straka, Peter 19 2016 Anisotropic fractional diffusion tensor imaging. Zbl 1366.92070 Meerschaert, Mark M.; Magin, Richard L.; Ye, Allen Q. 18 2016 Tempered fractional stable motion. Zbl 1348.60061 Meerschaert, Mark M.; Sabzikar, Farzad 11 2016 Tempered fractional calculus. Zbl 1349.26017 Sabzikar, Farzad; Meerschaert, Mark M.; Chen, Jinghua 121 2015 Fractional diffusion on bounded domains. Zbl 1488.35557 Defterli, Ozlem; D’Elia, Marta; Du, Qiang; Gunzburger, Max; Lehoucq, Rich; Meerschaert, Mark M. 59 2015 Stochastic solutions for fractional wave equations. Zbl 1345.35134 Meerschaert, Mark M.; Schilling, René L.; Sikorskii, Alla 20 2015 Semi-Markov approach to continuous time random walk limit processes. Zbl 1305.60089 Meerschaert, Mark M.; Straka, Peter 36 2014 Correlation structure of time-changed Lévy processes. Zbl 1329.60118 Leonenko, Nikolai N.; Meerschaert, Mark M.; Schilling, René L.; Sikorskii, Alla 36 2014 Stochastic integration for tempered fractional Brownian motion. Zbl 1329.60166 Meerschaert, Mark M.; Sabzikar, Farzad 33 2014 Parameter estimation for operator scaling random fields. Zbl 1278.62157 Lim, C. Y.; Meerschaert, M. M.; Scheffler, H.-P. 3 2014 Numerical methods for solving the multi-term time-fractional wave-diffusion equation. Zbl 1312.65138 Liu, Fawang; Meerschaert, Mark; McGough, Robert; Zhuang, Pinghui; Liu, Qingxia 213 2013 A novel numerical method for the time variable fractional order mobile-immobile advection-dispersion model. Zbl 1350.65092 Zhang, H.; Liu, F.; Phanikumar, Mantha S.; Meerschaert, Mark M. 110 2013 Inverse stable subordinators. Zbl 1274.60153 Meerschaert, M. M.; Straka, P. 82 2013 Fractional Pearson diffusions. Zbl 1297.60057 Leonenko, Nikolai N.; Meerschaert, Mark M.; Sikorskii, Alla 61 2013 Tempered fractional Brownian motion. Zbl 1287.60050 Meerschaert, Mark M.; Sabzikar, Farzad 44 2013 Fernique-type inequalities and moduli of continuity for anisotropic Gaussian random fields. Zbl 1322.60069 Meerschaert, Mark M.; Wang, Wensheng; Xiao, Yimin 33 2013 Correlation structure of fractional Pearson diffusions. Zbl 1381.60112 Leonenko, Nikolai N.; Meerschaert, Mark M.; Sikorskii, Alla 30 2013 Transient anomalous sub-diffusion on bounded domains. Zbl 1266.60087 Meerschaert, Mark M.; Nane, Erkan; Vellaisamy, P. 16 2013 Fractal dimension results for continuous time random walks. Zbl 1401.60080 Meerschaert, Mark M.; Nane, Erkan; Xiao, Yimin 16 2013 The fundamental solutions for multi-term modified power law wave equations in a finite domain. Zbl 1432.35005 Jiang, H.; Liu, F.; Meerschaert, M. M.; McGough, R. J.; Liu, Q. 11 2013 Fractional wave equations with attenuation. Zbl 1328.35284 Straka, Peter; Meerschaert, Mark; McGough, Robert; Zhou, Yuzhen 7 2013 Mathematical modeling. 4th ed. Zbl 1270.93001 Meerschaert, Mark M. 6 2013 Forecasting with prediction intervals for periodic autoregressive moving average models. Zbl 1274.62635 Anderson, Paul L.; Meerschaert, Mark M.; Zhang, Kai 4 2013 Mixing-driven equilibrium reactions in multidimensional fractional advection-dispersion systems. Zbl 1395.82222 Bolster, Diogo; Benson, David A.; Meerschaert, Mark M.; Baeumer, Boris 4 2013 Extreme value theory with operator norming. Zbl 1286.60047 Meerschaert, Mark M.; Scheffler, Hans-Peter; Stoev, Stilian A. 2 2013 Tauberian theorems for matrix regular variation. Zbl 1277.40006 Meerschaert, M. M.; Scheffler, H.-P. 1 2013 Editorial: FCAA related meetings and news (FCAA-volume 16-1-2013). Zbl 1315.00104 1 2013 Stochastic models for fractional calculus. Zbl 1247.60003 Meerschaert, Mark M.; Sikorskii, Alla 299 2012 Space-time fractional diffusion on bounded domains. Zbl 1251.35177 Chen, Zhen-Qing; Meerschaert, Mark M.; Nane, Erkan 70 2012 Fractional governing equations for coupled random walks. Zbl 1268.60057 Jurlewicz, A.; Kern, P.; Meerschaert, M. M.; Scheffler, H.-P. 26 2012 Fractional calculus, anomalous diffusion, and probability. Zbl 1297.35276 Meerschaert, Mark M. 19 2012 Parameter estimation for exponentially tempered power law distributions. Zbl 1271.62109 Meerschaert, Mark M.; Roy, Parthanil; Shao, Qin 7 2012 Clustered continuous-time random walks: diffusion and relaxation consequences. Zbl 1364.60059 Weron, Karina; Stanislavsky, Aleksander; Jurlewicz, Agnieszka; Meerschaert, Mark M.; Scheffler, Hans-Peter 6 2012 Fractional dynamics at multiple times. Zbl 1263.82040 Meerschaert, Mark M.; Straka, Peter 5 2012 Product rule for vector fractional derivatives. Zbl 1276.26011 Bolster, Diogo; Meerschaert, Mark M.; Sikorskii, Alla 3 2012 Limit theorems for coupled continuous time random walks. Zbl 1244.60048 Kern, Peter; Meerschaert, Mark M.; Scheffler, Hans-Peter 1 2012 The fractional Poisson process and the inverse stable subordinator. Zbl 1245.60084 Meerschaert, Mark M.; Nane, Erkan; Vellaisamy, P. 118 2011 Distributed-order fractional diffusions on bounded domains. Zbl 1222.35204 Meerschaert, Mark M.; Nane, Erkan; Vellaisamy, P. 87 2011 Tempered stable laws as random walk limits. Zbl 1225.60028 Chakrabarty, Arijit; Meerschaert, Mark M. 19 2011 Fractional normal inverse Gaussian diffusion. Zbl 1210.60040 Kumar, A.; Meerschaert, Mark M.; Vellaisamy, P. 11 2011 Cluster continuous time random walks. Zbl 1242.60045 Jurlewicz, Agnieszka; Meerschaert, Mark M.; Scheffler, Hans-Peter 8 2011 Asymptotic results for Fourier-PARMA time series. Zbl 1290.62089 Tesfaye, Yonas Gebeyehu; Anderson, Paul L.; Meerschaert, Mark M. 2 2011 Tempered stable Lévy motion and transient super-diffusion. Zbl 1423.60079 Baeumer, Boris; Meerschaert, Mark M. 104 2010 Particle tracking for fractional diffusion with two time scales. Zbl 1189.65240 Meerschaert, Mark M.; Zhang, Yong; Baeumer, Boris 32 2010 Modeling and simulation with operator scaling. Zbl 1222.60033 Cohen, Serge; Meerschaert, Mark M.; Rosiński, Jan 3 2010 Erratum to “Triangular array limits for continuous time random walks” [Stochastic process. Appl. 118 (9) (2008) 1606-1633]. Zbl 1229.60058 Meerschaert, Mark M.; Scheffler, Hans-Peter 1 2010 Fractional Cauchy problems on bounded domains. Zbl 1247.60078 Meerschaert, Mark M.; Nane, Erkan; Vellaisamy, P. 114 2009 Brownian subordinators and fractional Cauchy problems. Zbl 1186.60079 Baeumer, Boris; Meerschaert, Mark M.; Nane, Erkan 62 2009 Correlated continuous time random walks. Zbl 1179.60024 Meerschaert, Mark M.; Nane, Erkan; Xiao, Yimin 28 2009 Local Whittle estimator for anisotropic random fields. Zbl 1167.62465 Guo, Hongwen; Lim, Chae Young; Meerschaert, Mark M. 21 2009 Space–time duality for fractional diffusion. Zbl 1196.60087 Baeumer, Boris; Meerschaert, Mark M.; Nane, Erkan 18 2009 Extremal limit theorems for observations separated by random power law waiting times. Zbl 1160.60321 Meerschaert, Mark M.; Stoev, Stilian A. 6 2009 A bivariate infinitely divisible distribution with exponential and Mittag-Leffler marginals. Zbl 1170.60308 Kozubowski, Tomasz J.; Meerschaert, Mark M. 1 2009 Triangular array limits for continuous time random walks. Zbl 1153.60023 Meerschaert, Mark M.; Scheffler, Hans-Peter 105 2008 Numerical solutions for fractional reaction-diffusion equations. Zbl 1142.65422 Baeumer, Boris; Kovács, Mihály; Meerschaert, Mark M. 77 2008 Large deviations for local time fractional Brownian motion and applications. Zbl 1147.60025 Meerschaert, Mark M.; Nane, Erkan; Xiao, Yimin 17 2008 Local times of multifractional Brownian sheets. Zbl 1186.60036 Meerschaert, Mark; Wu, Dongsheng; Xiao, Yimin 16 2008 Innovations algorithm asymptotics for periodically stationary time series with heavy tails. Zbl 1133.62070 Anderson, Paul L.; Kavalieris, Laimonis; Meerschaert, Mark M. 3 2008 Subordinated multiparameter groups of linear operators: properties via the transference principle. Zbl 1173.47024 Baeumer, Boris; Kovács, Mihály; Meerschaert, Mark M. 2 2008 A second-order accurate numerical method for the two-dimensional fractional diffusion equation. Zbl 1113.65124 Tadjeran, Charles; Meerschaert, Mark M. 196 2007 Operator scaling stable random fields. Zbl 1111.60033 Biermé, Hermine; Meerschaert, Mark M.; Scheffler, Hans-Peter 77 2007 Fractional reproduction-dispersal equations and heavy tail dispersal kernels. Zbl 1296.92195 Baeumer, Boris; Kovács, Mihály; Meerschaert, Mark M. 48 2007 Mathematical modeling. 3rd ed. Zbl 1123.93002 Meerschaert, Mark M. 1 2007 Finite difference approximations for two-sided space-fractional partial differential equations. Zbl 1086.65087 Meerschaert, Mark M.; Tadjeran, Charles 484 2006 A second-order accurate numerical approximation for the fractional diffusion equation. Zbl 1089.65089 Tadjeran, Charles; Meerschaert, Mark M.; Scheffler, Hans-Peter 315 2006 Finite difference methods for two-dimensional fractional dispersion equation. Zbl 1085.65080 Meerschaert, Mark M.; Scheffler, Hans-Peter; Tadjeran, Charles 217 2006 Stochastic model for ultraslow diffusion. Zbl 1100.60024 Meerschaert, Mark M.; Scheffler, Hans-Peter 62 2006 Parameter estimation for the truncated Pareto distribution. Zbl 1118.62312 Aban, Inmaculada B.; Meerschaert, Mark M.; Panorska, Anna K. 50 2006 On using random walks to solve the space-fractional advection-dispersion equations. Zbl 1092.82038 Yong, Zhang; Benson, David A.; Meerschaert, Mark M.; Scheffler, Hans-Peter 43 2006 Fractional Laplace motion. Zbl 1100.60017 Kozubowski, T. J.; Meerschaert, M. M.; Podgórski, K. 22 2006 Ultrafast subordinators and their hitting times. Zbl 1246.60071 Kovács, Mihály; Meerschaert, Mark M. 6 2006 Inhomogeneous fractional diffusion equations. Zbl 1202.86005 Baeumer, Boris; Kurita, Satoko; Meerschaert, Mark M. 33 2005 Space-time fractional derivative operators. Zbl 1070.47043 Baeumer, Boris; Meerschaert, Mark M.; Mortensen, Jeff 25 2005 Parameter estimation for periodically stationary time series. Zbl 1090.62090 Anderson, Paul L.; Meerschaert, Mark M. 16 2005 Dimension results for sample paths of operator stable Lévy processes. Zbl 1074.60079 Meerschaert, Mark M.; Xiao, Yimin 16 2005 Operator geometric stable laws. Zbl 1069.60017 Kozubowski, Tomasz J.; Meerschaert, Mark M.; Panorska, Anna K.; Scheffler, Hans-Peter 3 2005 Limit theorems for continuous time random walks with slowly varying waiting times. Zbl 1065.60030 Meerschaert, Mark M.; Scheffler, Hans-Peter 3 2005 Finite difference approximations for fractional advection-dispersion flow equations. Zbl 1126.76346 Meerschaert, Mark M.; Tadjeran, Charles 767 2004 Limit theorems for continuous-time random walks with infinite mean waiting times. Zbl 1065.60042 Meerschaert, Mark M.; Scheffler, Hans-Peter 206 2004 Limit theorems for coupled continuous time random walks. Zbl 1054.60052 Becker-Kern, Peter; Meerschaert, Mark M.; Scheffler, Hans-Peter 64 2004 ...and 35 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 3,644 Authors 121 Liu, Fawang 101 Meerschaert, Mark Marvin 94 Wang, Hong 71 Turner, Ian William 50 Anh, Vo V. 50 Deng, Weihua 45 Zheng, Xiangcheng 39 Xiao, Yimin 38 Nane, Erkan 35 Leonenko, Nikolai N. 34 Scheffler, Hans-Peter 33 Sun, Zhizhong 30 Băleanu, Dumitru I. 30 Li, Hong 30 Liu, Yang 29 Karniadakis, George Em 29 Sun, Haiwei 25 Dehghan Takht Fooladi, Mehdi 25 Sun, Hongguang 24 D’Elia, Marta 23 Beghin, Luisa 22 Burrage, Kevin 22 Chen, Wen 22 Feng, Libo 22 Kumar, Arun 21 Li, Changpin 20 Ding, Hengfei 20 D’Ovidio, Mirko 20 Fu, Hongfei 20 Lei, Siulong 19 Atangana, Abdon 19 Becker-Kern, Peter 19 Polito, Federico 19 Xu, Da 18 Orsingher, Enzo 18 Vellaisamy, Palaniappan 18 Wyłomańska, Agnieszka 17 Hao, Zhaopeng 17 Jiang, Xiaoyun 17 Sabzikar, Farzad 17 Vong, Seakweng 17 Zaky, Mahmoud A. 17 Zhuang, Pinghui 16 Abbaszadeh, Mostafa 16 Bäumer, Boris 16 Du, Qiang 16 Magdziarz, Marcin 16 Ordokhani, Yadollah 16 Tang, Yifa 15 Didier, Gustavo 15 Kolokoltsov, Vassili N. 15 Owolabi, Kolade Matthew 15 Zhang, Guofeng 14 Chen, Minghua 14 Gajda, Janusz 14 Gu, Xian-Ming 14 Hendy, Ahmed S. 14 Huang, Chengming 14 Liu, Huan 14 Wang, Zhibo 14 Zayernouri, Mohsen 14 Zeng, Fanhai 13 Ascione, Giacomo 13 Bhrawy, Ali Hassan 13 Gao, Guanghua 13 Gunzburger, Max D. 13 Jia, Jinhong 13 Khader, Mohamed M. 13 Nguyen Huy Tuan 13 Pirozzi, Enrica 13 Sweilam, Nasser Hassan 13 Wang, Wensheng 12 Heydari, Mohammad Hossein 12 Kataria, Kuldeep Kumar 12 Qiu, Wenlin 12 Surgailis, Donatas 12 Wu, Yujiang 12 Yin, Baoli 12 Zhang, Yong 12 Zhang, Zhongqiang 12 Zhao, Yanmin 12 Zheng, Liancun 12 Zhou, Zhi 11 Avazzadeh, Zakieh 11 Chechkin, Aleksei V. 11 Chen, Yangquan 11 Du, Ning 11 Khaliq, Abdul Q. M. 11 Machado, José António Tenreiro 11 Mohebbi, Akbar 11 Ng, Michael Kwok-Po 11 Razzaghi, Mohsen 11 She, Zihang 11 Toaldo, Bruno 11 Yang, Qianqian 11 Zhao, Yongliang 10 Cheng, Aijie 10 Gorenflo, Rudolf 10 Huang, Jianfei 10 Kobayashi, Kei ...and 3,544 more Authors all top 5 Cited in 426 Serials 165 Computers & Mathematics with Applications 129 Journal of Computational Physics 127 Fractional Calculus & Applied Analysis 114 Applied Mathematics and Computation 97 Journal of Computational and Applied Mathematics 92 Journal of Scientific Computing 91 Applied Numerical Mathematics 81 Numerical Algorithms 78 Statistics & Probability Letters 72 Stochastic Processes and their Applications 59 Communications in Nonlinear Science and Numerical Simulation 59 Advances in Difference Equations 58 International Journal of Computer Mathematics 50 Chaos, Solitons and Fractals 49 Numerical Methods for Partial Differential Equations 44 Computational and Applied Mathematics 43 Journal of Mathematical Analysis and Applications 41 Physica A 39 Journal of Theoretical Probability 39 Applied Mathematical Modelling 38 Mathematical Methods in the Applied Sciences 37 Applied Mathematics Letters 34 Mathematics and Computers in Simulation 32 Journal of Statistical Physics 32 SIAM Journal on Scientific Computing 31 Journal of Physics A: Mathematical and Theoretical 30 Abstract and Applied Analysis 26 Computer Methods in Applied Mechanics and Engineering 25 Journal of Applied Mathematics and Computing 22 Stochastic Analysis and Applications 21 Communications in Statistics. 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