Edit Profile (opens in new tab) Anh, Vo V. Compute Distance To: Compute Author ID: anh.vo-v Published as: Anh, V. V.; Anh, V.; Anh, Vo; Anh, Vo V. Homepage: http://staff.qut.edu.au/staff/anhv/ External Links: MGP · ORCID · Google Scholar · Math-Net.Ru · dblp Documents Indexed: 227 Publications since 1976 1 Contribution as Editor Co-Authors: 89 Co-Authors with 211 Joint Publications 1,982 Co-Co-Authors all top 5 Co-Authors 8 single-authored 86 Liu, Fawang 58 Turner, Ian William 31 Leonenko, Nikolai N. 26 Ruiz-Medina, María Dolores 21 Angulo, José Miguel 15 Yu, Zuguo 14 Zhuang, Pinghui 11 Grecksch, Wilfried 11 Shen, Shujun 10 Chen, Changming 8 Chen, Jinghua 7 Inoue, Akihiko 7 Sakhno, Lyudmyla Mykhaĭlivna 6 Gao, Jiti 6 Mcvinish, Ross S. 6 Tieng, Quang Minh 5 Burrage, Kevin 5 Heyde, Christopher Charles 5 Kloeden, Peter Eris 5 Liu, Qingxia 5 Lunney, K. E. 5 Olenko, Andriy Yakovych 5 Shieh, Narn-Rueih 4 Ilić, Miloš 4 Kleptsyna, Marina L. 4 Spencer, Nancy M. 4 Zhang, Hongmei 4 Zheng, Minling 3 Chen, Ruige 3 Feng, Libo 3 Frías, María P. 3 Lau, Kasing 3 Liu, Jinlong 3 Su, Ninghu 3 Vaskovych, Volodymyr 3 Yong, Jiongmin 2 Bajracharya, K. 2 Chen, Shanzhen 2 Espejo, Rosa M. 2 Hu, Xiuling 2 Huang, Dawen 2 Jiang, Xiaoyun 2 Lai, Junjiang 2 Li, Jing 2 Lu, Shujuan 2 Nakano, Yumiharu 2 Nguyen, C. N. 2 Wolff, Rodney Carl 2 Xu, Tao 2 Yu, Qiang 2 Zhang, Jinghua 1 Ahlip, Rehez 1 An, Xingyu 1 Arunakumaren, N. 1 Barry, D. A. 1 Chelliah, Thivvianesan 1 Chen, Shiping 1 Chu, Kahou 1 Deng, Ji-Qing 1 Fan, Wenping 1 Gras, F. 1 Gu, Yuantong 1 Han, Guosheng 1 Huang, Yenkun 1 Huxley, W. J. 1 Jiang, Shan 1 Jin, Zhengmeng 1 Kasahara, Yuji 1 Knopova, Victoria Pavlovna 1 Li, Baogen 1 Li, Changpin 1 Lin, Ran 1 Lin, Yong 1 Lin, Zeng 1 Liu, Quansheng 1 Long, Shunchao 1 Ma, Yuanlin 1 Mei, Liquan 1 Melnikova, Olga O. 1 Ming, Chunying 1 Peng, Zhen-Ling 1 Pesee, C. 1 Roth, Christian J. 1 Sander, Graham C. 1 Sharapov, Michail M. 1 Sikorskii, Alla 1 Song, Jiqian 1 Tang, Yifa 1 Taufer, Emanuele 1 Tsui, Hung Tat 1 Wang, Desheng 1 Wang, Fang 1 Wei, Xiaoli 1 Yang, Jianyi 1 Zeng, Fanhai 1 Zhang, Huan 1 Zhang, Mengchen 1 Zhang, Minling 1 Zhang, Ruijie 1 Zhang, Yadong ...and 8 more Co-Authors all top 5 Serials 19 Stochastic Analysis and Applications 16 Applied Mathematics and Computation 9 Bulletin of the Australian Mathematical Society 9 Computers & Mathematics with Applications 9 Numerical Algorithms 7 Journal of Statistical Planning and Inference 7 Applied Mathematical Modelling 7 The ANZIAM Journal 6 Journal of Computational and Applied Mathematics 6 Statistics & Probability Letters 5 IMA Journal of Applied Mathematics 5 Journal of Mathematical Analysis and Applications 5 Journal of Applied Mathematics and Stochastic Analysis 5 Fractional Calculus & Applied Analysis 5 Journal of Applied Mathematics and Computing 4 Journal of Computational Physics 4 The Australian Journal of Statistics 4 Journal of the Australian Mathematical Society. Series A 4 Journal of Theoretical Biology 3 Advances in Applied Probability 3 Journal of Statistical Physics 3 Revue Roumaine de Mathématiques Pures et Appliquées 3 SIAM Journal on Numerical Analysis 3 Applied Numerical Mathematics 3 Stochastic Processes and their Applications 3 Theory of Probability and Mathematical Statistics 3 Random Operators and Stochastic Equations 3 Mathematical Communications 3 Journal of Statistical Mechanics: Theory and Experiment 2 Physica A 2 Problems of Information Transmission 2 Chaos, Solitons and Fractals 2 Journal of Applied Probability 2 Journal of Multivariate Analysis 2 Journal of Time Series Analysis 2 Signal Processing 2 SIAM Journal on Scientific Computing 2 Monte Carlo Methods and Applications 2 Bernoulli 2 Teoriya Ĭmovirnosteĭ ta Matematychna Statystyka 2 Australian & New Zealand Journal of Statistics 2 Chaos 1 Journal of the Australian Mathematical Society, Series B 1 Nonlinearity 1 Physics Letters. A 1 Scandinavian Journal of Statistics 1 Mathematics of Computation 1 Applied Mathematics and Optimization 1 Czechoslovak Mathematical Journal 1 Hokkaido Mathematical Journal 1 International Journal for Numerical Methods in Engineering 1 Journal of Optimization Theory and Applications 1 Mathematics and Computers in Simulation 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Pacific Journal of Mathematics 1 Zeitschrift für Analysis und ihre Anwendungen 1 Acta Applicandae Mathematicae 1 Statistics 1 Probability Theory and Related Fields 1 Journal of Complexity 1 Computational Mechanics 1 Numerical Methods for Partial Differential Equations 1 Mathematical and Computer Modelling 1 Journal of Scientific Computing 1 Communications in Statistics. Theory and Methods 1 Journal of Physics A: Mathematical and General 1 Systems Analysis, Modelling Simulation 1 Fractals 1 Finance and Stochastics 1 Infinite Dimensional Analysis, Quantum Probability and Related Topics 1 The Korean Journal of Computational & Applied Mathematics 1 Stochastic Environmental Research and Risk Assessment 1 International Journal of Pure and Applied Mathematics 1 International Journal of Numerical Analysis and Modeling 1 Journal of Algorithms & Computational Technology 1 Philosophical Transactions of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences all top 5 Fields 93 Probability theory and stochastic processes (60-XX) 72 Numerical analysis (65-XX) 67 Partial differential equations (35-XX) 47 Statistics (62-XX) 30 Real functions (26-XX) 22 Fluid mechanics (76-XX) 13 Biology and other natural sciences (92-XX) 12 Functions of a complex variable (30-XX) 12 Integral equations (45-XX) 12 Systems theory; control (93-XX) 10 Measure and integration (28-XX) 10 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 8 Statistical mechanics, structure of matter (82-XX) 7 Functional analysis (46-XX) 5 Operator theory (47-XX) 4 Combinatorics (05-XX) 4 Geophysics (86-XX) 3 Special functions (33-XX) 3 Dynamical systems and ergodic theory (37-XX) 3 Harmonic analysis on Euclidean spaces (42-XX) 2 Ordinary differential equations (34-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 2 Computer science (68-XX) 2 Classical thermodynamics, heat transfer (80-XX) 1 General and overarching topics; collections (00-XX) 1 Integral transforms, operational calculus (44-XX) 1 Mechanics of deformable solids (74-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 193 Publications have been cited 5,061 times in 2,408 Documents Cited by ▼ Year ▼ Numerical solution of the space fractional Fokker-Planck equation. Zbl 1036.82019Liu, Fawang; Anh, V.; Turner, I. 359 2004 Stability and convergence of the difference methods for the space-time fractional advection-diffusion equation. Zbl 1193.76093Liu, Fawang; Zhuang, P.; Anh, V.; Turner, I.; Burrage, K. 257 2007 Numerical methods for the variable-order fractional advection-diffusion equation with a nonlinear source term. Zbl 1204.26013Zhuang, P.; Liu, Fawang; Anh, V.; Turner, I. 250 2009 New solution and analytical techniques of the implicit numerical method for the anomalous subdiffusion equation. Zbl 1173.26006Zhuang, P.; Liu, Fawang; Anh, V.; Turner, I. 208 2008 A Fourier method for the fractional diffusion equation describing sub-diffusion. Zbl 1165.65053Chen, Chang-Ming; Liu, Fawang; Turner, I.; Anh, V. 181 2007 A Crank-Nicolson ADI spectral method for a two-dimensional Riesz space fractional nonlinear reaction-diffusion equation. Zbl 1382.65349Zeng, Fanhai; Liu, Fawang; Li, Changpin; Burrage, Kevin; Turner, Ian; Anh, V. 175 2014 Stability and convergence of a new explicit finite-difference approximation for the variable-order nonlinear fractional diffusion equation. Zbl 1171.65101Lin, R.; Liu, Fawang; Anh, V.; Turner, I. 137 2009 Numerical schemes with high spatial accuracy for a variable-order anomalous subdiffusion equation. Zbl 1217.26011Chen, Chang-Ming; Liu, F.; Anh, V.; Turner, I. 136 2010 Finite difference approximations for the fractional Fokker-Planck equation. Zbl 1167.65419Chen, S.; Liu, Fawang; Zhuang, P.; Anh, V. 124 2009 Time fractional advection-dispersion equation. Zbl 1068.26006Liu, Fawang; Anh, V. V.; Turner, I.; Zhuang, P. 111 2003 Galerkin finite element approximation of symmetric space-fractional partial differential equations. Zbl 1206.65234Zhang, H.; Liu, F.; Anh, V. 100 2010 A novel high order space-time spectral method for the time fractional Fokker-Planck equation. Zbl 1320.82052Zheng, Minling; Liu, Fawang; Turner, Ian; Anh, Vo 97 2015 Numerical approximation of a fractional-in-space diffusion equation. I. Zbl 1126.26009Ilic, M.; Liu, Fawang; Turner, I.; Anh, V. 97 2005 Spectral analysis of fractional kinetic equations with random data. Zbl 1034.82044Anh, V. V.; Leonenko, N. N. 95 2001 Analytical solution for the time-fractional telegraph equation by the method of separating variables. Zbl 1138.35373Chen, J.; Liu, Fawang; Anh, V. 85 2008 Numerical approximation of a fractional-in space diffusion equation. II. With nonhomogeneous boundary conditions. Zbl 1132.35507Ilic, M.; Liu, F.; Turner, I.; Anh, V. 84 2006 A new fractional finite volume method for solving the fractional diffusion equation. Zbl 1429.65213Liu, F.; Zhuang, P.; Turner, I.; Burrage, K.; Anh, V. 80 2014 Numerical techniques for the variable-order time fractional diffusion equation. Zbl 1280.65089Shen, S.; Liu, Fawang; Chen, J.; Turner, I.; Anh, V. 76 2012 Approximation of the Lévy-Feller advection-dispersion process by random walk and finite difference method. Zbl 1112.65006Liu, Q.; Liu, Fawang; Turner, I.; Anh, V. 70 2007 Finite element approximation for a modified anomalous subdiffusion equation. Zbl 1221.65257Liu, Q.; Liu, Fawang; Turner, I.; Anh, V. 69 2011 Numerical approximations and solution techniques for the space-time Riesz-Caputo fractional advection-diffusion equation. Zbl 1214.65046Shen, Shujun; Liu, Fawang; Anh, Vo 68 2011 The fundamental solution and numerical solution of the Riesz fractional advection-dispersion equation. Zbl 1179.37073Shen, S.; Liu, Fawang; Anh, V.; Turner, I. 66 2008 A semi-alternating direction method for a 2-D fractional Fitzhugh-Nagumo monodomain model on an approximate irregular domain. Zbl 1349.65316Liu, Fawang; Zhuang, P.; Turner, I.; Anh, V.; Burrage, K. 66 2015 Possible long-range dependence in fractional random fields. Zbl 1039.62090Anh, V. V.; Angulo, J. M.; Ruiz-Medina, M. D. 59 1999 Compact difference scheme for distributed-order time-fractional diffusion-wave equation on bounded domains. Zbl 1349.65353Ye, H.; Liu, Fawang; Anh, V. 57 2015 Numerical methods for solving a two-dimensional variable-order anomalous subdiffusion equation. Zbl 1241.65077Chen, Chang-Ming; Liu, Fawang; Anh, V.; Turner, I. 54 2012 Numerical schemes and multivariate extrapolation of a two-dimensional anomalous sub-diffusion equation. Zbl 1191.65116Chen, Chang-Ming; Liu, Fawang; Turner, Ian; Anh, Vo 54 2010 A parabolic stochastic differential equation with fractional Brownian motion input. Zbl 0937.60064Grecksch, W.; Anh, V. V. 47 1999 The analytical solution and numerical solution of the fractional diffusion-wave equation with damping. Zbl 1290.35306Chen, J.; Liu, Fawang; Anh, V.; Shen, S.; Liu, Q.; Liao, C. 43 2012 Fractional diffusion and fractional heat equation. Zbl 0986.60077Angulo, J. M.; Ruiz-Medina, M. D.; Anh, V. V.; Grecksch, W. 43 2000 A RBF meshless approach for modeling a fractal mobile/immobile transport model. Zbl 1354.65204Liu, Q.; Liu, F.; Turner, I.; Anh, V.; Gu, Y. T. 43 2014 Numerical analysis for the time distributed-order and Riesz space fractional diffusions on bounded domains. Zbl 1337.65120Ye, H.; Liu, Fawang; Anh, V.; Turner, I. 42 2015 Maximum principle and numerical method for the multi-term time-space Riesz-Caputo fractional differential equations. Zbl 1364.35428Ye, H.; Liu, Fawang; Anh, V.; Turner, I. 40 2014 Fractional differential equations driven by Lévy noise. Zbl 1042.60034Anh, V. V.; McVinish, R. 38 2003 Stability and convergence of an implicit numerical method for the nonlinear fractional reaction-subdiffusion process. Zbl 1187.35271Zhuang, P.; Liu, Fawang; Anh, V.; Turner, I. 37 2009 Numerical analysis of a new space-time variable fractional order advection-dispersion equation. Zbl 1334.65143Zhang, Hongmei; Liu, Fawang; Zhuang, P.; Turner, I.; Anh, V. 36 2014 Numerical simulation for solute transport in fractal porous media. Zbl 1123.76363Liu, Fawang; Anh, V.; Turner, I.; Zhuang, P. 35 2004 A high-order spectral method for the multi-term time-fractional diffusion equations. Zbl 1459.65205Zheng, M.; Liu, F.; Anh, V.; Turner, I. 35 2016 A Fourier method and an extrapolation technique for Stokes’ first problem for a heated generalized second-grade fluid with fractional derivative. Zbl 1153.76049Chen, Changming; Liu, Fawang; Anh, V. 34 2009 Dynamic models of long-memory processes driven by Lévy noise. Zbl 1016.60039Anh, V. V.; Heyde, C. C.; Leonenko, N. N. 33 2002 Fractional generalized random fields of variable order. Zbl 1069.60040Ruiz-Medina, M. D.; Anh, V. V.; Angulo, J. M. 32 2004 Numerical methods with fourth-order spatial accuracy for variable-order nonlinear Stokes first problem for a heated generalized second grade fluid. Zbl 1228.65207Chen, Chang-Ming; Liu, Fawang; Turner, I.; Anh, V. 32 2011 A fast semi-implicit difference method for a nonlinear two-sided space-fractional diffusion equation with variable diffusivity coefficients. Zbl 1339.65104Chen, S.; Liu, Fawang; Jiang, X.; Turner, I.; Anh, V. 32 2015 Analysis of a discrete non-Markovian random walk approximation for the time fractional diffusion equation. Zbl 1082.60511Liu, Fawang; Shen, S.; Anh, V.; Turner, I. 31 2005 A characteristic difference method for the variable-order fractional advection-diffusion equation. Zbl 1296.65114Shen, S.; Liu, Fawang; Anh, V.; Turner, I.; Chen, J. 30 2013 Renormalization and homogenization of fractional diffusion equations with random data. Zbl 1031.60043Anh, V. V.; Leonenko, N. N. 30 2002 Numerical simulation for the variable-order Galilei invariant advection diffusion equation with a nonlinear source term. Zbl 1227.65072Chen, Chang-Ming; Liu, Fawang; Anh, V.; Turner, I. 27 2011 Scaling laws for fractional diffusion-wave equations with singular data. Zbl 0970.35174Anh, V. V.; Leonenko, N. N. 27 2000 An implicit numerical method for the two-dimensional fractional percolation equation. Zbl 1432.65118Chen, S.; Liu, Fawang; Turner, I.; Anh, V. 27 2013 Numerical analysis of the Rayleigh-Stokes problem for a heated generalized second-grade fluid with fractional derivatives. Zbl 1153.76010Chen, Changming; Liu, Fawang; Anh, V. 26 2008 Fractional generalized random fields on bounded domains. Zbl 1043.60042Ruiz-Medina, M. D.; Angulo, J. M.; Anh, V. V. 25 2003 Galerkin finite element method and error analysis for the fractional cable equation. Zbl 1343.65125Zhuang, Pinghui; Liu, Fawang; Turner, Ian; Anh, Vo 25 2016 Numerical simulation for the 3D seepage flow with fractional derivatives in porous media. Zbl 1169.76427Liu, Q.; Liu, Fawang; Turner, I.; Anh, V. 24 2009 Convergence and superconvergence of a fully-discrete scheme for multi-term time fractional diffusion equations. Zbl 1412.65159Zhao, Yanmin; Zhang, Yadong; Liu, F.; Turner, I.; Tang, Yifa; Anh, V. 24 2017 Semiparametric regression under long-range dependent errors. Zbl 1045.62514Gao, J. T.; Anh, V. V. 23 1999 On a class of minimum contrast estimators for fractional stochastic processes and fields. Zbl 1103.62092Anh, V. V.; Leonenko, N. N.; Sakhno, L. M. 23 2004 A novel numerical approximation for the space fractional advection-dispersion equation. Zbl 1297.65098Shen, S.; Liu, Fawang; Anh, V.; Turner, I.; Chen, J. 22 2014 Rate of convergence to the Rosenblatt distribution for additive functionals of stochastic processes with long-range dependence. Zbl 0983.60009Leonenko, N. N.; Anh, V. V. 20 2001 Parameter estimation of stochastic process with long-range dependence and intermittency. Zbl 0979.62071Gao, Jiti; Anh, Vo; Heyde, Chris; Tieng, Quang 20 2001 Financial markets with memory. I: Dynamic models. Zbl 1108.91035Anh, V.; Inoue, A. 20 2005 Analytical solutions of multi-term time fractional differential equations and application to unsteady flows of generalized viscoelastic fluid. Zbl 1398.35277Ming, Chunying; Liu, Fawang; Zheng, Liancun; Turner, Ian; Anh, Vo 20 2016 Unstructured-mesh Galerkin finite element method for the two-dimensional multi-term time-space fractional Bloch-Torrey equations on irregular convex domains. Zbl 1442.65268Liu, Fawang; Feng, Libo; Anh, Vo; Li, Jing 19 2019 Solving linear and nonlinear space-time fractional reaction-diffusion equations by the Adomian decomposition method. Zbl 1159.76367Yu, Q.; Liu, Fawang; Anh, V.; Turner, I. 18 2008 The unstructured mesh finite element method for the two-dimensional multi-term time-space fractional diffusion-wave equation on an irregular convex domain. Zbl 1407.65156Fan, Wenping; Jiang, Xiaoyun; Liu, Fawang; Anh, Vo 17 2018 Numerical approximation of Lévy-Feller diffusion equation and its probability interpretation. Zbl 1125.26014Zhang, H.; Liu, Fawang; Anh, V. 17 2007 Numerical approximation for a variable-order nonlinear reaction-subdiffusion equation. Zbl 1278.65121Chen, Chang-Ming; Liu, Fawang; Turner, I.; Anh, V.; Chen, Y. 17 2013 Minimum contrast estimation of random processes based on information of second and third orders. Zbl 1107.62082Anh, V. V.; Leonenko, N. N.; Sakhno, L. M. 17 2007 A novel implicit finite difference method for the one-dimensional fractional percolation equation. Zbl 1429.65180Chen, Shi Ping; Liu, F.; Anh, V. 16 2011 Continuous-time stochastic processes with cyclical long-range dependence. Zbl 1080.60034Anh, V. V.; Knopova, V. P.; Leonenko, N. N. 16 2004 Multifractal analysis and topological properties of a new family of weighted Koch networks. Zbl 1400.28015Huang, Da-Wen; Yu, Zu-Guo; Anh, Vo 15 2017 A fast second-order accurate method for a two-sided space-fractional diffusion equation with variable coefficients. Zbl 1412.65072Feng, L. B.; Zhuang, P.; Liu, F.; Turner, I.; Anh, V.; Li, J. 15 2017 An implicit numerical method of a new time distributed-order and two-sided space-fractional advection-dispersion equation. Zbl 1343.65110Hu, Xiuling; Liu, Fawang; Turner, Ian; Anh, Vo 15 2016 The analytical solution and numerical solutions for a two-dimensional multi-term time fractional diffusion and diffusion-wave equation. Zbl 1398.65229Shen, Shujun; Liu, Fawang; Anh, Vo V. 15 2019 Stochastic fractional-order differential models with fractal boundary conditions. Zbl 0988.60052Ruíz-Medina, M. D.; Anh, V. V.; Angulo, J. M. 13 2001 Fractional-order regularization and wavelet approximation to the inverse estimation problem for random fields. Zbl 1013.62097Ruiz-Medina, M. D.; Angulo, J. M.; Anh, V. V. 13 2003 Scaling limit solution of a fractional Burgers equation. Zbl 1053.60073Ruiz-Medina, M. D.; Angulo, J. M.; Anh, V. V. 13 2001 Numerical simulation for the three-dimension fractional sub-diffusion equation. Zbl 1429.65179Chen, J.; Liu, F.; Liu, Q.; Chen, X.; Anh, V.; Turner, I.; Burrage, K. 13 2014 Statistical estimation of nonstationary Gaussian processes with long-range dependence and intermittency. Zbl 1059.60024Gao, Jiti; Anh, Vo; Heyde, Chris 13 2002 Prediction of protein structural classes by recurrence quantification analysis based on chaos game representation. Zbl 1400.92417Yang, Jian-Yi; Peng, Zhen-Ling; Yu, Zu-Guo; Zhang, Rui-Jie; Anh, Vo; Wang, Desheng 13 2009 Linear filtering with fractional Brownian motion. Zbl 0916.93076Kleptsyna, M. L.; Kloeden, P. E.; Anh, V. V. 12 1998 Fractional kinetic equations driven by Gaussian or infinitely divisible noise. Zbl 1076.60044Angulo, J. M.; Anh, V. V.; McVinish, R.; Ruiz-Medina, M. D. 12 2005 A numerical solution using an adaptively preconditioned Lanczos method for a class of linear systems related with the fractional Poisson equation. Zbl 1162.65015Ilić, M.; Turner, I. W.; Anh, V. 12 2008 Multifractality of products of geometric Ornstein-Uhlenbeck-type processes. Zbl 1181.60061Anh, V. V.; Leonenko, Nikolai N.; Shieh, Narn-Rueih 12 2008 Existence and uniqueness theorems for fBm stochastic differential equations. Zbl 0924.60042Kleptsyna, M. L.; Kloeden, P. E.; Anh, V. V. 11 1998 The fundamental and numerical solutions of the Riesz space-fractional reaction-dispersion equation. Zbl 1179.35029Chen, J.; Liu, Fawang; Turner, I.; Anh, V. 11 2008 Numerical methods and analysis for a multi-term time-space variable-order fractional advection-diffusion equations and applications. Zbl 1448.76151Chen, Ruige; Liu, Fawang; Anh, Vo 11 2019 On the rate of convergence to Rosenblatt-type distribution. Zbl 1329.60020Anh, Vo; Leonenko, Nikolai; Olenko, Andriy 10 2015 Regularity of backward stochastic Volterra integral equations in Hilbert spaces. Zbl 1223.60046Anh, Vo V.; Grecksch, Wilfried; Yong, Jiongmin 10 2011 Numerical simulation of anomalous infiltration in porous media. Zbl 1310.76121Shen, S.; Liu, Fawang; Liu, Q.; Anh, Vo V. 10 2015 Higher-order spectral densities of fractional random fields. Zbl 1019.60046Anh, V. V.; Leonenko, N. N.; Sakhno, L. M. 10 2003 Parameter estimation of random fields with long-range dependence. Zbl 0829.76070Anh, V. V.; Lunney, K. E. 10 1995 Quasi-likelihood-based higher-order spectral estimation of random fields with possible long-range dependence. Zbl 1049.62107Anh, V. V.; Leonenko, N. N.; Sakhno, L. M. 10 2004 Fractional random fields on domains with fractal boundary. Zbl 1055.60046Ruiz-Medina, M. D.; Angulo, J. M.; Anh, V. V. 10 2004 Spectral properties of Burgers and KPZ turbulence. Zbl 1101.82023Anh, V. V.; Leonenko, N. N.; Sakhno, L. M. 10 2006 Estimation of spatial ARMA models. Zbl 0776.62074Huang, D.; Anh, V. V. 9 1992 Harmonic analysis of random fractional diffusion-wave equations. Zbl 1053.60064Anh, V. V.; Leonenko, N. N. 9 2003 Stochastic models for fractal processes. Zbl 0954.62099Anh, V. V.; Heyde, C. C.; Tieng, Q. 9 1999 A numerical investigation of the time distributed-order diffusion model. Zbl 1390.65133Hu, Xiuling; Liu, Fawang; Anh, Vo; Turner, Ian 9 2013 Financial markets with memory. II: Innovation processes and expected utility maximization. Zbl 1108.91036Anh, V.; Inoue, A.; Kasahara, Y. 9 2005 Detailed analysis of a conservative difference approximation for the time fractional diffusion equation. Zbl 1111.65115Shen, S.; Liu, Fawang; Anh, V.; Turner, I. 9 2006 A novel alternating-direction implicit spectral Galerkin method for a multi-term time-space fractional diffusion equation in three dimensions. Zbl 1471.65166Wang, Ying; Liu, Fawang; Mei, Liquan; Anh, Vo V. 1 2021 A space-time finite element method for solving linear Riesz space fractional partial differential equations. Zbl 1480.65262Lai, Junjiang; Liu, Fawang; Anh, Vo V.; Liu, Qingxia 1 2021 Multifractal temporally weighted detrended cross-correlation analysis of multivariate time series. Zbl 1435.62330Jiang, Shan; Li, Bao-Gen; Yu, Zu-Guo; Wang, Fang; Anh, Vo; Zhou, Yu 2 2020 Finite difference/finite element method for two-dimensional time-space fractional Bloch-Torrey equations with variable coefficients on irregular convex domains. Zbl 07283154Xu, Tao; Liu, Fawang; Lü, Shujuan; Anh, Vo V. 1 2020 Unstructured-mesh Galerkin finite element method for the two-dimensional multi-term time-space fractional Bloch-Torrey equations on irregular convex domains. Zbl 1442.65268Liu, Fawang; Feng, Libo; Anh, Vo; Li, Jing 19 2019 The analytical solution and numerical solutions for a two-dimensional multi-term time fractional diffusion and diffusion-wave equation. Zbl 1398.65229Shen, Shujun; Liu, Fawang; Anh, Vo V. 15 2019 Numerical methods and analysis for a multi-term time-space variable-order fractional advection-diffusion equations and applications. Zbl 1448.76151Chen, Ruige; Liu, Fawang; Anh, Vo 11 2019 On rate of convergence in non-central limit theorems. Zbl 1428.62063Anh, Vo; Leonenko, Nikolai; Olenko, Andriy; Vaskovych, Volodymyr 6 2019 A fractional alternating-direction implicit method for a multi-term time-space fractional Bloch-Torrey equations in three dimensions. Zbl 1442.65154Chen, Ruige; Liu, Fawang; Anh, Vo 4 2019 Analytical and numerical solutions of a two-dimensional multi-term time-fractional Oldroyd-B model. Zbl 1418.76039Zhang, Jinghua; Liu, Fawang; Anh, Vo V. 4 2019 Fractional Stokes-Boussinesq-Langevin equation and Mittag-Leffler correlation decay. Zbl 07096673Anh, V. V.; Leonenko, N. N. 2 2019 On LSE in regression model for long-range dependent random fields on spheres. Zbl 1423.62049Anh, Vo; Olenko, Andriy; Vaskovych, Volodymyr 1 2019 Analytical and numerical solutions of a multi-term time-fractional Burgers’ fluid model. Zbl 1428.76148Zhang, Jinghua; Liu, Fawang; Lin, Zeng; Anh, Vo 1 2019 Multifractal analysis for core-periphery structure of complex networks. Zbl 1456.05155Liu, Jin-Long; Yu, Zu-Guo; Anh, Vo 1 2019 The unstructured mesh finite element method for the two-dimensional multi-term time-space fractional diffusion-wave equation on an irregular convex domain. Zbl 1407.65156Fan, Wenping; Jiang, Xiaoyun; Liu, Fawang; Anh, Vo 17 2018 A fast numerical method for two-dimensional Riesz space fractional diffusion equations on a convex bounded region. Zbl 06933818Chen, S.; Liu, F.; Turner, I.; Anh, V. 7 2018 Fast numerical simulation of a new time-space fractional option pricing model governing European call option. Zbl 1429.91346Zhang, H.; Liu, F.; Chen, S.; Anh, V.; Chen, J. 4 2018 Convergence and superconvergence of a fully-discrete scheme for multi-term time fractional diffusion equations. Zbl 1412.65159Zhao, Yanmin; Zhang, Yadong; Liu, F.; Turner, I.; Tang, Yifa; Anh, V. 24 2017 Multifractal analysis and topological properties of a new family of weighted Koch networks. Zbl 1400.28015Huang, Da-Wen; Yu, Zu-Guo; Anh, Vo 15 2017 A fast second-order accurate method for a two-sided space-fractional diffusion equation with variable coefficients. Zbl 1412.65072Feng, L. B.; Zhuang, P.; Liu, F.; Turner, I.; Anh, V.; Li, J. 15 2017 Numerical methods for the two-dimensional multi-term time-fractional diffusion equations. Zbl 1397.65150Zhao, Linlin; Liu, Fawang; Anh, Vo V. 9 2017 Non-central limit theorems and convergence rates. Zbl 1390.60183Anh, Vo; Olenko, Andriy; Vaskovych, V. 2 2017 Stochastic representation of fractional Bessel-Riesz motion. Zbl 1374.35415Anh, V. V.; Leonenko, N. N.; Sikorskii, A. 2 2017 A high-order spectral method for the multi-term time-fractional diffusion equations. Zbl 1459.65205Zheng, M.; Liu, F.; Anh, V.; Turner, I. 35 2016 Galerkin finite element method and error analysis for the fractional cable equation. Zbl 1343.65125Zhuang, Pinghui; Liu, Fawang; Turner, Ian; Anh, Vo 25 2016 Analytical solutions of multi-term time fractional differential equations and application to unsteady flows of generalized viscoelastic fluid. Zbl 1398.35277Ming, Chunying; Liu, Fawang; Zheng, Liancun; Turner, Ian; Anh, Vo 20 2016 An implicit numerical method of a new time distributed-order and two-sided space-fractional advection-dispersion equation. Zbl 1343.65110Hu, Xiuling; Liu, Fawang; Turner, Ian; Anh, Vo 15 2016 Space-time fractional stochastic equations on regular bounded open domains. Zbl 1354.60065Anh, Vo V.; Leonenko, Nikolai N.; Ruiz-Medina, María D. 8 2016 Fractional-in-time and multifractional-in-space stochastic partial differential equations. Zbl 1355.60082Anh, Vo V.; Leonenko, Nikolai N.; Ruiz-Medina, María D. 7 2016 Multifractality and Laplace spectrum of horizontal visibility graphs constructed from fractional Brownian motions. Zbl 1456.82634Yu, Zu-Guo; Zhang, Huan; Huang, Da-Wen; Lin, Yong; Anh, Vo 1 2016 A novel high order space-time spectral method for the time fractional Fokker-Planck equation. Zbl 1320.82052Zheng, Minling; Liu, Fawang; Turner, Ian; Anh, Vo 97 2015 A semi-alternating direction method for a 2-D fractional Fitzhugh-Nagumo monodomain model on an approximate irregular domain. Zbl 1349.65316Liu, Fawang; Zhuang, P.; Turner, I.; Anh, V.; Burrage, K. 66 2015 Compact difference scheme for distributed-order time-fractional diffusion-wave equation on bounded domains. Zbl 1349.65353Ye, H.; Liu, Fawang; Anh, V. 57 2015 Numerical analysis for the time distributed-order and Riesz space fractional diffusions on bounded domains. Zbl 1337.65120Ye, H.; Liu, Fawang; Anh, V.; Turner, I. 42 2015 A fast semi-implicit difference method for a nonlinear two-sided space-fractional diffusion equation with variable diffusivity coefficients. Zbl 1339.65104Chen, S.; Liu, Fawang; Jiang, X.; Turner, I.; Anh, V. 32 2015 On the rate of convergence to Rosenblatt-type distribution. Zbl 1329.60020Anh, Vo; Leonenko, Nikolai; Olenko, Andriy 10 2015 Numerical simulation of anomalous infiltration in porous media. Zbl 1310.76121Shen, S.; Liu, Fawang; Liu, Q.; Anh, Vo V. 10 2015 Determination of multifractal dimensions of complex networks by means of the sandbox algorithm. Zbl 1345.28018Liu, Jin-Long; Yu, Zu-Guo; Anh, Vo 5 2015 A Crank-Nicolson ADI spectral method for a two-dimensional Riesz space fractional nonlinear reaction-diffusion equation. Zbl 1382.65349Zeng, Fanhai; Liu, Fawang; Li, Changpin; Burrage, Kevin; Turner, Ian; Anh, V. 175 2014 A new fractional finite volume method for solving the fractional diffusion equation. Zbl 1429.65213Liu, F.; Zhuang, P.; Turner, I.; Burrage, K.; Anh, V. 80 2014 A RBF meshless approach for modeling a fractal mobile/immobile transport model. Zbl 1354.65204Liu, Q.; Liu, F.; Turner, I.; Anh, V.; Gu, Y. T. 43 2014 Maximum principle and numerical method for the multi-term time-space Riesz-Caputo fractional differential equations. Zbl 1364.35428Ye, H.; Liu, Fawang; Anh, V.; Turner, I. 40 2014 Numerical analysis of a new space-time variable fractional order advection-dispersion equation. Zbl 1334.65143Zhang, Hongmei; Liu, Fawang; Zhuang, P.; Turner, I.; Anh, V. 36 2014 A novel numerical approximation for the space fractional advection-dispersion equation. Zbl 1297.65098Shen, S.; Liu, Fawang; Anh, V.; Turner, I.; Chen, J. 22 2014 Numerical simulation for the three-dimension fractional sub-diffusion equation. Zbl 1429.65179Chen, J.; Liu, F.; Liu, Q.; Chen, X.; Anh, V.; Turner, I.; Burrage, K. 13 2014 Fractal and complex network analyses of protein molecular dynamics. Zbl 1395.92118Zhou, Yuan-Wu; Liu, Jin-Long; Yu, Zu-Guo; Zhao, Zhi-Qin; Anh, Vo 3 2014 A two-stage SVM method to predict membrane protein types by incorporating amino acid classifications and physicochemical properties into a general form of Chou’s PseAAC. Zbl 1412.92242Han, Guo-Sheng; Yu, Zu-Guo; Anh, Vo 2 2014 A characteristic difference method for the variable-order fractional advection-diffusion equation. Zbl 1296.65114Shen, S.; Liu, Fawang; Anh, V.; Turner, I.; Chen, J. 30 2013 An implicit numerical method for the two-dimensional fractional percolation equation. Zbl 1432.65118Chen, S.; Liu, Fawang; Turner, I.; Anh, V. 27 2013 Numerical approximation for a variable-order nonlinear reaction-subdiffusion equation. Zbl 1278.65121Chen, Chang-Ming; Liu, Fawang; Turner, I.; Anh, V.; Chen, Y. 17 2013 A numerical investigation of the time distributed-order diffusion model. Zbl 1390.65133Hu, Xiuling; Liu, Fawang; Anh, Vo; Turner, Ian 9 2013 Macroscaling limit theorems for filtered spatiotemporal random fields. Zbl 1327.62095Anh, V. V.; Leonenko, N. N.; Ruiz-Medina, M. D. 8 2013 Wavelet-based estimation of anisotropic spatiotemporal long-range dependence. Zbl 1301.60036Frías, M. P.; Ruiz-Medina, M. D.; Anh, V. V. 2 2013 Heterogeneous spatial dynamical regression in a Hilbert-valued context. Zbl 1429.62430Ruiz-Medina, M. D.; Anh, V. V.; Espejo, R. M.; Frías, M. P. 1 2013 Numerical techniques for the variable-order time fractional diffusion equation. Zbl 1280.65089Shen, S.; Liu, Fawang; Chen, J.; Turner, I.; Anh, V. 76 2012 Numerical methods for solving a two-dimensional variable-order anomalous subdiffusion equation. Zbl 1241.65077Chen, Chang-Ming; Liu, Fawang; Anh, V.; Turner, I. 54 2012 The analytical solution and numerical solution of the fractional diffusion-wave equation with damping. Zbl 1290.35306Chen, J.; Liu, Fawang; Anh, V.; Shen, S.; Liu, Q.; Liao, C. 43 2012 Random fields with multifractional regularity order on heterogenous fractal domains. Zbl 1280.60034Ruiz-Medina, M. D.; Anh, V. V.; Angulo, J. M. 1 2012 Finite element approximation for a modified anomalous subdiffusion equation. Zbl 1221.65257Liu, Q.; Liu, Fawang; Turner, I.; Anh, V. 69 2011 Numerical approximations and solution techniques for the space-time Riesz-Caputo fractional advection-diffusion equation. Zbl 1214.65046Shen, Shujun; Liu, Fawang; Anh, Vo 68 2011 Numerical methods with fourth-order spatial accuracy for variable-order nonlinear Stokes first problem for a heated generalized second grade fluid. Zbl 1228.65207Chen, Chang-Ming; Liu, Fawang; Turner, I.; Anh, V. 32 2011 Numerical simulation for the variable-order Galilei invariant advection diffusion equation with a nonlinear source term. Zbl 1227.65072Chen, Chang-Ming; Liu, Fawang; Anh, V.; Turner, I. 27 2011 A novel implicit finite difference method for the one-dimensional fractional percolation equation. Zbl 1429.65180Chen, Shi Ping; Liu, F.; Anh, V. 16 2011 Regularity of backward stochastic Volterra integral equations in Hilbert spaces. Zbl 1223.60046Anh, Vo V.; Grecksch, Wilfried; Yong, Jiongmin 10 2011 Multifractional Markov processes in heterogeneous domains. Zbl 1236.60041Ruiz-Medina, M. D.; Anh, V. V.; Angulo, J. M. 3 2011 Numerical schemes with high spatial accuracy for a variable-order anomalous subdiffusion equation. Zbl 1217.26011Chen, Chang-Ming; Liu, F.; Anh, V.; Turner, I. 136 2010 Galerkin finite element approximation of symmetric space-fractional partial differential equations. Zbl 1206.65234Zhang, H.; Liu, F.; Anh, V. 100 2010 Numerical schemes and multivariate extrapolation of a two-dimensional anomalous sub-diffusion equation. Zbl 1191.65116Chen, Chang-Ming; Liu, Fawang; Turner, Ian; Anh, Vo 54 2010 Analytical and numerical solutions of a one-dimensional fractional-in-space diffusion equation in a composite medium. Zbl 1193.65168Ilic, M.; Turner, I. W.; Liu, Fawang; Anh, V. 7 2010 Simulation of multifractal products of Ornstein-Uhlenbeck type processes. Zbl 1206.60048Anh, Vo V.; Leonenko, Nikolai N.; Shieh, Narn-Rueih; Taufer, Emanuele 4 2010 Numerical methods for the variable-order fractional advection-diffusion equation with a nonlinear source term. Zbl 1204.26013Zhuang, P.; Liu, Fawang; Anh, V.; Turner, I. 250 2009 Stability and convergence of a new explicit finite-difference approximation for the variable-order nonlinear fractional diffusion equation. Zbl 1171.65101Lin, R.; Liu, Fawang; Anh, V.; Turner, I. 137 2009 Finite difference approximations for the fractional Fokker-Planck equation. Zbl 1167.65419Chen, S.; Liu, Fawang; Zhuang, P.; Anh, V. 124 2009 Stability and convergence of an implicit numerical method for the nonlinear fractional reaction-subdiffusion process. Zbl 1187.35271Zhuang, P.; Liu, Fawang; Anh, V.; Turner, I. 37 2009 A Fourier method and an extrapolation technique for Stokes’ first problem for a heated generalized second-grade fluid with fractional derivative. Zbl 1153.76049Chen, Changming; Liu, Fawang; Anh, V. 34 2009 Numerical simulation for the 3D seepage flow with fractional derivatives in porous media. Zbl 1169.76427Liu, Q.; Liu, Fawang; Turner, I.; Anh, V. 24 2009 Prediction of protein structural classes by recurrence quantification analysis based on chaos game representation. Zbl 1400.92417Yang, Jian-Yi; Peng, Zhen-Ling; Yu, Zu-Guo; Zhang, Rui-Jie; Anh, Vo; Wang, Desheng 13 2009 Multifractal products of stationary diffusion processes. Zbl 1178.60038Anh, Vo V.; Leonenko, Nikolai N.; Shieh, Narn-Rueih 7 2009 \(Q\)-fractional Brownian motion in infinite dimensions with application to fractional Black-Scholes market. Zbl 1158.60364Grecksch, W.; Roth, C.; Anh, V. V. 6 2009 Multifractal scaling of products of birth-death processes. Zbl 1215.60048Anh, Vo V.; Leonenko, Nikolai N.; Shieh, Narn-Rueih 5 2009 New solution and analytical techniques of the implicit numerical method for the anomalous subdiffusion equation. Zbl 1173.26006Zhuang, P.; Liu, Fawang; Anh, V.; Turner, I. 208 2008 Analytical solution for the time-fractional telegraph equation by the method of separating variables. Zbl 1138.35373Chen, J.; Liu, Fawang; Anh, V. 85 2008 The fundamental solution and numerical solution of the Riesz fractional advection-dispersion equation. Zbl 1179.37073Shen, S.; Liu, Fawang; Anh, V.; Turner, I. 66 2008 Numerical analysis of the Rayleigh-Stokes problem for a heated generalized second-grade fluid with fractional derivatives. Zbl 1153.76010Chen, Changming; Liu, Fawang; Anh, V. 26 2008 Solving linear and nonlinear space-time fractional reaction-diffusion equations by the Adomian decomposition method. Zbl 1159.76367Yu, Q.; Liu, Fawang; Anh, V.; Turner, I. 18 2008 A numerical solution using an adaptively preconditioned Lanczos method for a class of linear systems related with the fractional Poisson equation. Zbl 1162.65015Ilić, M.; Turner, I. W.; Anh, V. 12 2008 Multifractality of products of geometric Ornstein-Uhlenbeck-type processes. Zbl 1181.60061Anh, V. V.; Leonenko, Nikolai N.; Shieh, Narn-Rueih 12 2008 The fundamental and numerical solutions of the Riesz space-fractional reaction-dispersion equation. Zbl 1179.35029Chen, J.; Liu, Fawang; Turner, I.; Anh, V. 11 2008 Fundamental solution and discrete random walk model for a time-space fractional diffusion equation of distributed order. Zbl 1157.65520Shen, S.; Liu, Fawang; Anh, V. 8 2008 Multifractality in space-time statistical models. Zbl 1231.62177Ruiz-Medina, M. D.; Angulo, J. M.; Anh, V. V. 4 2008 Log-normal, log-gamma and log-negative inverted gamma scenarios in multifractal products of stochastic processes. Zbl 1157.60033Anh, V. V.; Leonenko, N. N. 2 2008 Log-Euler’s gamma multifractal scenario for products of Ornstein-Uhlenbeck type processes. Zbl 1168.60013Anh, Vo V.; Leonenko, Nikolai N.; Shieh, Narn-Rueih 1 2008 Stability and convergence of the difference methods for the space-time fractional advection-diffusion equation. Zbl 1193.76093Liu, Fawang; Zhuang, P.; Anh, V.; Turner, I.; Burrage, K. 257 2007 A Fourier method for the fractional diffusion equation describing sub-diffusion. Zbl 1165.65053Chen, Chang-Ming; Liu, Fawang; Turner, I.; Anh, V. 181 2007 Approximation of the Lévy-Feller advection-dispersion process by random walk and finite difference method. Zbl 1112.65006Liu, Q.; Liu, Fawang; Turner, I.; Anh, V. 70 2007 Numerical approximation of Lévy-Feller diffusion equation and its probability interpretation. Zbl 1125.26014Zhang, H.; Liu, Fawang; Anh, V. 17 2007 Minimum contrast estimation of random processes based on information of second and third orders. Zbl 1107.62082Anh, V. V.; Leonenko, N. N.; Sakhno, L. M. 17 2007 Numerical treatment for the fractional Fokker-Planck equation. Zbl 1334.82048Zhuang, Pinghui; Liu, Fawang; Anh, Vo; Turner, Ian 5 2007 Prediction of fractional Brownian motion-type processes. Zbl 1117.60044Inoue, A.; Anh, V. V. 3 2007 Binary market models with memory. Zbl 1160.91355Inoue, Akihiko; Nakano, Yumiharu; Anh, Vo 3 2007 ...and 93 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 2,538 Authors 146 Liu, Fawang 113 Anh, Vo V. 80 Turner, Ian William 59 Wang, Hong 51 Leonenko, Nikolai N. 47 Ruiz-Medina, María Dolores 37 Dehghan Takht Fooladi, Mehdi 37 Sun, Zhizhong 33 Abbaszadeh, Mostafa 33 Jiang, Xiaoyun 32 Băleanu, Dumitru I. 27 Angulo, José Miguel 27 Deng, Weihua 27 Zheng, Xiangcheng 26 Li, Hong 26 Liu, Yang 24 Li, Changpin 24 Tang, Yifa 23 Burrage, Kevin 23 Xu, Da 22 Atangana, Abdon 21 Wei, LeiLei 21 Zhuang, Pinghui 20 Huang, Chengming 20 Sun, Haiwei 20 Zaky, Mahmoud A. 19 Feng, Libo 19 Heydari, Mohammad Hossien 19 Macías-Díaz, Jorge Eduardo 17 Avazzadeh, Zakieh 17 Bu, Weiping 17 Chen, Changming 17 Gao, Guanghua 16 Bhrawy, Ali Hassan 16 Cuevas, Claudio 16 Sun, Hongguang 15 Li, Meng 15 Machado, José António Tenreiro 15 Mohebbi, Akbar 15 Wang, Yuanming 14 Chen, Wen 14 Fu, Hongfei 14 Karniadakis, George Em 14 Li, Xiaoli 14 Mustapha, Kassem 14 Vong, Seakweng 14 Zeng, Fanhai 13 Abdelkawy, Mohamed A. 13 Gu, Xian-Ming 13 Hendy, Ahmed S. 13 Lu, Shujuan 13 Meerschaert, Mark Marvin 13 Sweilam, Nasser Hassan 13 Xiao, Aiguo 13 Zhang, Xindong 13 Zhao, Yanmin 13 Zhao, Yongliang 12 Ding, Hengfei 12 Huang, Jianfei 12 Nie, Yufeng 12 Olenko, Andriy Yakovych 11 Alikhanov, Anatoly A. 11 Chen, Shanzhen 11 Cheng, Aijie 11 Cui, Mingrong 11 Huang, Ting-Zhu 11 Jumarie, Guy M. 11 Khaliq, Abdul Q. 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