Zobrazeno 1 - 10
of 2 231
pro vyhledávání: '"P. Gander"'
Precision cardiology based on cardiac digital twins requires accurate simulations of cardiac arrhythmias. However, detailed models, such as the monodomain model, are computationally costly and have limited applicability in practice. Thus, it desirabl
Externí odkaz:
http://arxiv.org/abs/2410.22583
The Parareal algorithm was invented in 2001 in order to parallelize the solution of evolution problems in the time direction. It is based on parallel fine time propagators called F and sequential coarse time propagators called G, which alternatingly
Externí odkaz:
http://arxiv.org/abs/2409.02673
Autor:
Gander, Martin Jakob, Lu, Liu-Di
We present here the classical Schwarz method with a time domain decomposition applied to unconstrained parabolic optimal control problems. Unlike Dirichlet-Neumann and Neumann-Neumann algorithms, we find different properties based on the forward-back
Externí odkaz:
http://arxiv.org/abs/2408.12512
Autor:
Gander, Martin Jakob, Lu, Liu-Di
We present new Neumann-Neumann algorithms based on a time domain decomposition applied to unconstrained parabolic optimal control problems. After a spatial semi-discretization, the Lagrange multiplier approach provides a coupled forward-backward opti
Externí odkaz:
http://arxiv.org/abs/2401.15522
Autor:
Walter Gander
Publikováno v:
Informatics in Education, Vol 23, Iss 4, Pp 783-790 (2024)
In this paper, we show the impact of Pascal on numerical software. Using recursion, a new and elegant algorithm for quadrature could be developed.
Externí odkaz:
https://doaj.org/article/8de60648f8db467283d95e2102305dfc
Autor:
Gander, Martin Jakob, Lu, Liu-Di
We present new Dirichlet-Neumann and Neumann-Dirichlet algorithms with a time domain decomposition applied to unconstrained parabolic optimal control problems. After a spatial semi-discretization, we use the Lagrange multiplier approach to derive a c
Externí odkaz:
http://arxiv.org/abs/2308.12907
Autor:
Gander, Martin Jakob, Lu, Liu-Di
We present the Dirichlet-Neumann (DN) and Neumann-Neumann (NN) methods applied to the optimal control problems arising from elliptic partial differential equations (PDEs) under the $H^{-1}$ regularization. We use the Lagrange multiplier approach to d
Externí odkaz:
http://arxiv.org/abs/2308.12764
When considered as a standalone iterative solver for elliptic boundary value problems, the Dirichlet-Neumann (DN) method is known to converge geometrically for domain decompositions into strips, even for a large number of subdomains. However, wheneve
Externí odkaz:
http://arxiv.org/abs/2307.09204
Autor:
T. Markiewicz, E. Bong, L. Keller, J. Smith, O. Aberle, C. Accettura, A. Bertarelli, E. Berthome, N. Biancacci, M. Butcher, F. Carra, P. Gander, P. Gradassi, M. Guinchard, L. Lacny, A. Lafuente, J. Lendaro, M. Pasquali, S. Redaelli, G. Valentino
Publikováno v:
Physical Review Accelerators and Beams, Vol 22, Iss 12, p 123002 (2019)
A rotatable-jaw collimator design was conceived as a solution to recover from catastrophic beam impacts which would damage a collimator at the Large Hadron Collider (LHC) or its High-Luminosity upgrade (HL-LHC). One such rotatable collimator prototyp
Externí odkaz:
https://doaj.org/article/1c683eef6ff5430297751f41f9c22aed
Autor:
Gander, Martin J., Palitta, Davide
Time-parallel time integration has received a lot of attention in the high performance computing community over the past two decades. Indeed, it has been shown that parallel-in-time techniques have the potential to remedy one of the main computationa
Externí odkaz:
http://arxiv.org/abs/2304.12597