4.7 Article

Particle tracking for time-fractional diffusion

相关参考文献

注意:仅列出部分参考文献,下载原文获取全部文献信息。
Article Mathematics, Applied

Finite difference methods and a fourier analysis for the fractional reaction-subdiffusion equation

Chang-ming Chen et al.

APPLIED MATHEMATICS AND COMPUTATION (2008)

Article Statistics & Probability

Triangular array limits for continuous time random walks

Mark M. Meerschaert et al.

STOCHASTIC PROCESSES AND THEIR APPLICATIONS (2008)

Article Environmental Sciences

Moment analysis for spatiotemporal fractional dispersion

Yong Zhang et al.

WATER RESOURCES RESEARCH (2008)

Article Computer Science, Interdisciplinary Applications

A Fourier method for the fractional diffusion equation describing sub-diffusion

Chang-Ming Chen et al.

JOURNAL OF COMPUTATIONAL PHYSICS (2007)

Article Computer Science, Interdisciplinary Applications

Numerical algorithm for the time fractional Fokker-Planck equation

Weihua Deng

JOURNAL OF COMPUTATIONAL PHYSICS (2007)

Article Mathematics, Applied

Stability and convergence of the difference methods for the space-time fractional advection-diffusion equation

F. Liu et al.

APPLIED MATHEMATICS AND COMPUTATION (2007)

Article Physics, Fluids & Plasmas

Competition between subdiffusion and levy flights: A Monte Carlo approach

Marcin Magdziarz et al.

PHYSICAL REVIEW E (2007)

Article Physics, Multidisciplinary

Monte Carlo investigation of anomalous transport in presence of a discontinuity and of an advection field

M. Marseguerra et al.

PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS (2007)

Article Physics, Multidisciplinary

Fractional diffusion with two time scales

B. Baeumer et al.

PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS (2007)

Article Mathematics, Applied

Variational solution of fractional advection dispersion equations on bounded domains in R-d

Vincent J. Ervin et al.

NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS (2007)

Article Mathematics, Applied

Numerical approximation of a time dependent, nonlinear, space-fractional diffusion equation

Vincent J. Ervin et al.

SIAM JOURNAL ON NUMERICAL ANALYSIS (2007)

Article Nuclear Science & Technology

Normal and anomalous transport across an interface: Monte Carlo and analytical approach

M. Marseguerra et al.

ANNALS OF NUCLEAR ENERGY (2006)

Review Environmental Sciences

A review and numerical assessment of the random walk particle tracking method

Peter Salamon et al.

JOURNAL OF CONTAMINANT HYDROLOGY (2006)

Article Geosciences, Multidisciplinary

Relationship between flux and resident concentrations for anomalous dispersion

Yong Zhang et al.

GEOPHYSICAL RESEARCH LETTERS (2006)

Article Mathematics, Applied

Computational aspects of FEM approximation of fractional advection dispersion equations on bounded domains in R2

JP Roop

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS (2006)

Article Physics, Fluids & Plasmas

Random walk approximation of fractional-order multiscaling anomalous diffusion

Yong Zhang et al.

PHYSICAL REVIEW E (2006)

Article Physics, Fluids & Plasmas

Diffusion equations for a Markovian jumping process

T. Srokowski et al.

PHYSICAL REVIEW E (2006)

Article Computer Science, Interdisciplinary Applications

Weighted average finite difference methods for fractional diffusion equations

S. B. Yuste

JOURNAL OF COMPUTATIONAL PHYSICS (2006)

Article Mathematics, Applied

Variational formulation for the stationary fractional advection dispersion equation

VJ Ervin et al.

NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS (2006)

Article Physics, Mathematical

On using random walks to solve the space-fractional advection-dispersion equations

Z Yong et al.

JOURNAL OF STATISTICAL PHYSICS (2006)

Article Physics, Fluids & Plasmas

Fractional Fokker-Planck dynamics:: Numerical algorithm and simulations

E Heinsalu et al.

PHYSICAL REVIEW E (2006)

Article Computer Science, Interdisciplinary Applications

A second-order accurate numerical approximation for the fractional diffusion equation

C Tadjeran et al.

JOURNAL OF COMPUTATIONAL PHYSICS (2006)

Article Mathematics, Applied

A fully discrete difference scheme for a diffusion-wave system

ZZ Sun et al.

APPLIED NUMERICAL MATHEMATICS (2006)

Article Nuclear Science & Technology

The Monte Carlo and fractional kinetics approaches to the underground anomalous subdiffusion of contaminants

M Marseguerra et al.

ANNALS OF NUCLEAR ENERGY (2006)

Article Computer Science, Interdisciplinary Applications

The accuracy and stability of an implicit solution method for the fractional diffusion equation

TAM Langlands et al.

JOURNAL OF COMPUTATIONAL PHYSICS (2005)

Article Engineering, Civil

Numerical solution of fractional advection-dispersion equation

ZQ Deng et al.

JOURNAL OF HYDRAULIC ENGINEERING (2004)

Article Mathematics, Applied

Numerical solution of the space fractional Fokker-Planck equation

F Liu et al.

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS (2004)

Article Mathematics, Applied

Least squares finite-element solution of a fractional order two-point boundary value problem

GJ Fix et al.

COMPUTERS & MATHEMATICS WITH APPLICATIONS (2004)

Article Statistics & Probability

Limit theorems for continuous-time random walks with infinite mean waiting times

MM Meerschaert et al.

JOURNAL OF APPLIED PROBABILITY (2004)

Review Physics, Multidisciplinary

The restaurant at the end of the random walk: recent developments in the description of anomalous transport by fractional dynamics

R Metzler et al.

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL (2004)

Article Engineering, Mechanical

Discrete and continuous random walk models for space-time fractional diffusion

R Gorenflo et al.

NONLINEAR DYNAMICS (2004)

Article Physics, Multidisciplinary

Non-uniqueness of the first passage time density of Levy random processes

IM Sokolov et al.

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL (2004)

Article Mathematics, Applied

Finite difference approximations for fractional advection-dispersion flow equations

MM Meerschaert et al.

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS (2004)

Article Physics, Mathematical

Levy flights in a steep potential well

AV Chechkin et al.

JOURNAL OF STATISTICAL PHYSICS (2004)

Article Computer Science, Interdisciplinary Applications

Numerical methods for the solution of partial differential equations of fractional order

VE Lynch et al.

JOURNAL OF COMPUTATIONAL PHYSICS (2003)

Article Environmental Sciences

Fractal mobile/immobile solute transport

R Schumer et al.

WATER RESOURCES RESEARCH (2003)

Article Environmental Sciences

Dispersion of groundwater age in an alluvial aquifer system

GS Weissmann et al.

WATER RESOURCES RESEARCH (2002)

Article Engineering, Mechanical

Time fractional diffusion: A discrete random walk approach

R Gorenflo et al.

NONLINEAR DYNAMICS (2002)

Article Physics, Fluids & Plasmas

Stochastic solution of space-time fractional diffusion equations

MM Meerschaert et al.

PHYSICAL REVIEW E (2002)

Article Physics, Fluids & Plasmas

Operator Levy motion and multiscaling anomalous diffusion

MM Meerschaert et al.

PHYSICAL REVIEW E (2001)

Review Physics, Multidisciplinary

The random walk's guide to anomalous diffusion: a fractional dynamics approach

R Metzler et al.

PHYSICS REPORTS-REVIEW SECTION OF PHYSICS LETTERS (2000)