An algorithm for estimating the optimal regularization parameter by the L-curve

Autor: G. Rodriguez, D. Theis

Publikováno v: Rendiconti di Matematica e delle Sue Applicazioni, Vol 25, Iss 1, Pp 69-84 (2005)

In this paper we introduce a new algorithm to estimate the optimal regularization parameter in truncated singular value decomposition (TSVD) regularization methods for the numerical solution of severely ill-posed linear systems. The algorithm couples

Externí odkaz: https://doaj.org/article/3e9e964c3eb9478f96fe09c5674331d9

Efficient Parallel Solvers for the FireStar3D Wildfire Numerical Simulation Model

Autor: Oleg Bessonov, Sofiane Meradji

Publikováno v: Lecture Notes in Computer Science ISBN: 9783030256357
PaCT
Malyshkin V. (eds) Parallel Computing Technologies. PaCT 2019. Lecture Notes in Computer Science, vol 11657. Springer, Cham
Malyshkin V. (eds) Parallel Computing Technologies. PaCT 2019. Lecture Notes in Computer Science, vol 11657. Springer, Cham, pp.140-150, 2019, 978-3-030-25635-7. ⟨10.1007/978-3-030-25636-4_11⟩

International audience; This paper presents efficient parallel methods for solvingill-conditioned linear systems arising in fluid dynamics problems. Thefirst method is based on the Modified LU decomposition, applied as apreconditioner to the Conjugat

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::d7ed51e4725263e54b4176005a4313d9
https://doi.org/10.1007/978-3-030-25636-4_11

On An Operational Matrix Method Based On Generalized Bernoulli Polynomials Of Level M

Autor: Quintana, Yamilet, Ramirez Quiroga, William David, Urieles Guerrero, Alejandro

Publikováno v: REDICUC-Repositorio CUC
Corporación Universidad de la Costa
instacron:Corporación Universidad de la Costa

An operational matrix method based on generalized Bernoulli polynomials of level m is introduced and analyzed in order to obtain numerical solutions of initial value problems. The most innovative component of our method comes, essentially, from the i

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=od______3056::702897939175d7ef2a950c69630bdebe
https://repositorio.cuc.edu.co/

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A rational Arnoldi approach for ill-conditioned linear systems

Autor: Brezinski, Claude, Novati, Paolo, Redivo, Zaglia, Michela

For the solution of full-rank ill-posed linear systems a new approach based on the Arnoldi algorithm is presented. Working with regularized systems, the method theoretically reconstructs the true solution by means of the computation of a suitable fun

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::9ff26bb51f25b5d83f1c96f30a4c6183
http://arxiv.org/abs/1009.5516