Zobrazeno 1 - 10
of 48
pro vyhledávání: '"Boris Baeumer"'
Publikováno v:
Fractional Calculus and Applied Analysis. 25:299-319
Publikováno v:
Systematic Biology. 70:145-161
We describe a new and computationally efficient Bayesian methodology for inferring species trees and demographics from unlinked binary markers. Likelihood calculations are carried out using diffusion models of allele frequency dynamics combined with
Publikováno v:
Journal of Computational and Applied Mathematics. 339:414-430
This paper derives physically meaningful boundary conditions for fractional diffusion equations, using a mass balance approach. Numerical solutions are presented, and theoretical properties are reviewed, including well-posedness and steady state solu
Publikováno v:
Mathematische Nachrichten. 291:2516-2535
This paper establishes explicit solutions for fractional diffusion problems on bounded domains. It also gives stochastic solutions, in terms of Markov processes time‐changed by an inverse stable subordinator whose index equals the order of the frac
Publikováno v:
Journal of Differential Equations. 264:1377-1410
We identify the stochastic processes associated with one-sided fractional partial differential equations on a bounded domain with various boundary conditions. This is essential for modelling using spatial fractional derivatives. We show well-posednes
Publikováno v:
Water Resources Research. 53:3491-3504
Hillslope subsurface stormflow exhibits complex patterns when natural soils with multiscale heterogeneity impart a spatiotemporally nonlocal memory on flow dynamics. To efficiently quantify such nonlocal flow responses, this technical note proposes a
Autor:
Boris Baeumer, Peter Straka
Publikováno v:
Proceedings of the American Mathematical Society. 145:399-412
It is proved that the distributions of scaling limits of Continuous Time Random Walks (CTRWs) solve integro-differential equations akin to Fokker-Planck Equations for diffusion processes. In contrast to previous such results, it is not assumed that t
Publikováno v:
Water Resources Research. 51:6311-6337
This study develops an explicit two-step Lagrangian scheme based on the renewal-reward process to capture transient anomalous diffusion with mixed retention and early arrivals in multidimensional media. The resulting 3-D anomalous transport simulator
Publikováno v:
Transactions of the American Mathematical Society. 368:227-248
This paper explicitly computes the transition densities of a spectrally negative stable process with index greater than one, reflected at its infimum. First we derive the forward equation using the theory of sun-dual semigroups. The resulting forward
This paper derives physically meaningful boundary conditions for fractional diffusion equations, using a mass balance approach. Numerical solutions are presented, and theoretical properties are reviewed, including well-posedness and steady state solu
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::8ff219cc2f32631e3315e755e52927d3
http://arxiv.org/abs/1706.07991
http://arxiv.org/abs/1706.07991