Parallel-in-time multigrid for space–time finite element approximations of two-dimensional space-fractional diffusion equations

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

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Natural Sciences, Mathematics, Physics +16

Variational formulation for the stationary fractional advection dispersion equation

Vincent J. Ervin, John Paul Roop · Numerical Methods for Partial Differential Equations · 2005 · 790 citations

Computing, Computational Engineering, Mathematics +16

Analysis of the Parareal Time‐Parallel Time‐Integration Method

Martin J. Gander, Stefan Vandewalle · SIAM Journal on Scientific Computing · 2007 · 423 citations · Full text

Computing, Aerospace Engineering, Computer Science +16

A compact finite difference scheme for the fractional sub-diffusion equations

Guang‐hua Gao, Zhi‐zhong Sun · Journal of Computational Physics · 2010 · 403 citations

Natural Sciences, Mathematics, Physics +14

A Fourth-order Compact ADI scheme for Two-Dimensional Nonlinear Space Fractional Schrödinger Equation

Xuan Zhao, Zhi‐zhong Sun, Zhaopeng Hao · SIAM Journal on Scientific Computing · 2014 · 274 citations

Natural Sciences, Physics, Computational Fluid Dynamics +15