264 citations · 3.4k across the 103 of their papers we have counts for
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Diffusion toward non-overlapping partially reactive spherical traps: fresh insights onto classic problems
Denis S. Grebenkov
Several classic problems for particles diffusing outside an arbitrary configuration of non-overlapping partially reactive spherical traps in three dimensions are revisited. For thi…
Diffusion NMR in periodic media: efficient computation and spectral properties
Nicolas Moutal, Antoine Moutal, Denis S. Grebenkov
The Bloch-Torrey equation governs the evolution of the transverse magnetization in diffusion magnetic resonance imaging, where two mechanisms are at play: diffusion of spins (Lapla…
Diffusion across semi-permeable barriers: spectral properties, efficient computation, and applications
Nicolas Moutal, Denis Grebenkov
We present an efficient method to compute the eigenvalues and eigenmodes of the diffusion operator on one-dimensional heterogeneous structures with multiple semi-…
Semi-analytical computation of Laplacian Green functions in three-dimensional domains with disconnected spherical boundaries
D. S. Grebenkov, Sergey D. Traytak
We apply the generalized method of separation of variables (GMSV) to solve boundary value problems for the Laplace operator in three-dimensional domains with disconnected spherical…
Exit time distribution in spherically symmetric two-dimensional domains
J. -F. Rupprecht, O. Bénichou, D. S. Grebenkov +1
The distribution of exit times is computed for a Brownian particle in spherically symmetric two- dimensional domains (disks, angular sectors, annuli) and in rectangles that contain…
Efficient Monte Carlo methods for simulating diffusion-reaction processes in complex systems
Denis Grebenkov
We briefly review the principles, mathematical bases, numerical shortcuts and applications of fast random walk (FRW) algorithms. This Monte Carlo technique allows one to simulate i…