Zobrazeno 1 - 10
of 14
pro vyhledávání: '"Robert Artebrant"'
Autor:
Robert Artebrant
Publikováno v:
Journal of Applied Mathematics, Vol 2009 (2009)
We study Hopf bifurcation solutions to the Monodomain model equipped with FitzHugh-Nagumo cell dynamics. This reaction-diffusion system plays an important role in the field of electrocardiology as a tractable mathematical model of the electrical acti
Externí odkaz:
https://doaj.org/article/2f94fe5d2bce4180b8d37939e967b4cc
Existence of excitation waves for a collection of cardiomyocytes electrically coupled to fibroblasts
Publikováno v:
Mathematical Biosciences. 230:79-86
We consider mathematical models of a collection of cardiomyocytes (myocardial tissue) coupled to a varying number of fibroblasts. Our aim is to understand how conductivity ( δ ) and fibroblast density ( η ) affect the stability of the collection. W
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::f4b7431001451dbe13376fcd0139be4d
https://doi.org/10.1016/j.mbs.2011.01.004
https://doi.org/10.1016/j.mbs.2011.01.004
Autor:
Robert Artebrant, Manuel Torrilhon
Publikováno v:
Journal of Computational Physics. 227:3405-3427
It is of utmost interest to control the divergence of the magnetic flux in simulations of the ideal magnetohydrodynamic equations since, in general, divergence errors tend to accumulate and render the schemes unstable. This paper presents a higher-or
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::8eb4861eba5801ed2e1b66d218ae34c8
https://doi.org/10.1016/j.jcp.2007.12.003
https://doi.org/10.1016/j.jcp.2007.12.003
Autor:
Robert Artebrant, Hans Joachim Schroll
Publikováno v:
Applied Numerical Mathematics. 56:695-711
The Camassa-Holm equation is a conservation law with a non-local flux that models shallow water waves and features soliton solutions with a corner at their crests, so-called peakons. In the present paper a finite-volume method is developed to simulat
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::44cac928c6b1dcda92a3772c3bece3b8
https://doi.org/10.1016/j.apnum.2005.06.002
https://doi.org/10.1016/j.apnum.2005.06.002
Autor:
Robert Artebrant
Publikováno v:
Journal of Scientific Computing. 30:193-221
This paper presents a finite volume scheme on rectangular and triangular meshes based on a third order accurate logarithmic reconstruction. Several numerical experiments, including the Euler equations for compressible gas dynamics, illustrate the hig
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::0107177c203a09b2ffe0611ba1ddf01c
https://doi.org/10.1007/s10915-005-9063-7
https://doi.org/10.1007/s10915-005-9063-7
Autor:
Robert Artebrant, H. Joachim Schroll
Publikováno v:
SIAM Journal on Scientific Computing. 28:359-381
A third order conservative reconstruction, in the context of finite volume schemes for hyperbolic conservation laws, is constructed based on logarithmic functions. This logarithmic method reconstructs without the use of a limiter, any preprocessing o
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::342ea473386c7f588512eb88f9f7cd96
https://doi.org/10.1137/040620187
https://doi.org/10.1137/040620187
Autor:
Robert Artebrant, H. Joachim Schroll
Publikováno v:
SIAM Journal on Scientific Computing. 27:294-314
A class of high-order reconstruction methods based on logarithmic functions is presented. Inspired by Marquina's hyperbolic method, we introduce a double logarithmic ansatz of fifth order of accuracy. Low variation is guaranteed by the ansatz and (sl
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::b5f57c99632f4e3468dcb34276ab7ce8
https://doi.org/10.1137/03060240x
https://doi.org/10.1137/03060240x
Autor:
Robert Artebrant
Publikováno v:
Advances in Water Resources. 28:423-425
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::c45d7867fe87351101f763bcd4afac19
https://doi.org/10.1016/j.advwatres.2004.10.015
https://doi.org/10.1016/j.advwatres.2004.10.015
Publikováno v:
Mathematical biosciences and engineering : MBE. 7(3)
The purpose of this paper is to derive and analyze methods for examining the stability of solutions of partial differential equations modeling collections of excitable cells. In particular, we derive methods for estimating the principal eigenvalue of
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::e0e20741d706d7e16f1bccdd33d53370
https://pubmed.ncbi.nlm.nih.gov/20578783
https://pubmed.ncbi.nlm.nih.gov/20578783
Publikováno v:
Computers in biology and medicine. 41(8)
Instabilities in the electro-chemical resting state of the heart can generate ectopic waves that in turn can initiate arrhythmias. We derive methods for computing the resting state for mathematical models of the electro-chemical process underpinning
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::5ca9d3357c1747fec8c75fc78943f92f
https://pubmed.ncbi.nlm.nih.gov/21632044
https://pubmed.ncbi.nlm.nih.gov/21632044