Zobrazeno 1 - 10
of 54
pro vyhledávání: '"Sabine Le Borne"'
Autor:
Sabine Le Borne, Willi Leinen
Radial basis function finite difference (RBF-FD) discretization has recently emerged as an alternative to classical finite difference or finite element discretization of (systems) of partial differential equations. In this paper, we focus on the cons
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::aa83a7bd58f1ed6c8df90b8ec58d31e5
https://doi.org/10.21203/rs.3.rs-2888756/v1
https://doi.org/10.21203/rs.3.rs-2888756/v1
Publikováno v:
Numerical Algorithms.
The simulation of fluid dynamic problems often involves solving large-scale saddle-point systems. Their numerical solution with iterative solvers requires efficient preconditioners. Low-rank updates can adapt standard preconditioners to accelerate th
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::4d79bde562db3775112b0d874a48a26d
https://doi.org/10.1007/s11075-023-01548-3
https://doi.org/10.1007/s11075-023-01548-3
Autor:
Sabine Le Borne
Publikováno v:
Numerical Linear Algebra with Applications.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::83d655bbcb8f7511b9d718a146b41e13
https://doi.org/10.1002/nla.2497
https://doi.org/10.1002/nla.2497
The simulation of fluid dynamic problems often involves solving large-scale saddle-point systems.Their numerical solution with iterative solvers requires efficient preconditioners. Low-rank updates canadapt standard preconditioners to accelerate thei
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::1829b7e6ccd83a260cd03fa26bf9e107
https://doi.org/10.21203/rs.3.rs-2492974/v1
https://doi.org/10.21203/rs.3.rs-2492974/v1
Autor:
Sabine Le Borne, Robin Ahrens
Publikováno v:
Applied Numerical Mathematics. 153:473-491
We consider the numerical solution of the multivariate aggregation population balance equation on a uniform tensor grid. This class of equations is numerically challenging to solve - the computational complexity of “straightforward” algorithms gr
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::93d3a2d7520d23465d75381625a51c5c
https://doi.org/10.1016/j.apnum.2020.03.002
https://doi.org/10.1016/j.apnum.2020.03.002
Autor:
Sabine Le Borne, Michael Wende
Publikováno v:
Numerical Algorithms. 85:1175-1193
Scattered data interpolation can be used to approximate a multivariate function by a linear combination of positive definite radial basis functions (RBFs). In practice, the approximation error stagnates (due to numerical instability) even if the func
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::f06f3c2295f7225b0fd4980cf6b53c65
https://doi.org/10.1007/s11075-019-00860-1
https://doi.org/10.1007/s11075-019-00860-1
Autor:
Vasyl Skorych, Stefan Heinrich, Ernst-Ulrich Hartge, Robin Ahrens, Sabine Le Borne, Maksym Dosta
Publikováno v:
Advanced Powder Technology 3 (30): 555-564 (2019-03)
The growth of particles due to agglomeration is often mathematically described by population balance equations. The numerical evaluation of these equations and applying new methods to their solution is an area of increasing interest. In this contribu
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::366b22f4197eeca4363e870be77ca7cd
https://doi.org/10.1016/j.apt.2018.12.007
https://doi.org/10.1016/j.apt.2018.12.007
Autor:
Michael Wende, Sabine Le Borne
Publikováno v:
Computers & Mathematics with Applications. 77:1178-1196
Scattered data interpolation using conditionally positive definite radial basis functions (RBFs) requires the solution of a symmetric saddle-point system. Based on an approximation of the system matrix as a hierarchical matrix, we solve the system it
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::7bf6ed3595cc23d28e2144983e550742
https://doi.org/10.1016/j.camwa.2018.10.042
https://doi.org/10.1016/j.camwa.2018.10.042
Autor:
Sabine Le Borne
Publikováno v:
SIAM Journal on Matrix Analysis and Applications. 40:517-541
Radial basis function (RBF) interpolation is a powerful, meshfree tool for function approximation but its direct implementation might suffer from severe ill-conditioning as the shape parameter decr...
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::3f500873ba5a40a12d6e7da3bdad5ac8
https://doi.org/10.1137/18m119207x
https://doi.org/10.1137/18m119207x
Autor:
Michael Wende, Sabine Le Borne
Publikováno v:
SIAM Journal on Scientific Computing. 41:A1706-A1732
Scattered data interpolation using conditionally positive definite radial basis functions typically leads to large, dense, and indefinite systems of saddle-point type. Due to ill-conditioning, the ...
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::5fd9b6e41d0c1290c40102dade7f2fb9
https://doi.org/10.1137/18m119063x
https://doi.org/10.1137/18m119063x