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- 1.0571877 - ÚGN 2024 RIV CZ eng C - Conference Paper (international conference)
Béreš, Michal
Reduced basis solver for stochastic Galerkin formulation of Darcy flow with uncertain material parameters.
Programs and Algorithms of Numerical Mathematics 21 : Proceedings of Seminar. Praha: Institute of Mathematics CAS Prague, 2023 - (Chleboun, J.; Kůs, P.; Papež, J.; Rozložník, M.; Segeth, K.; Šístek, J.), s. 15-24. ISBN 978-80-85823-73-8.
[Programs and Algorithms of Numerical Mathematics /21./. Jablonec nad Nisou (CZ), 19.06.2022-24.06.2022]
R&D Projects: GA TA ČR(CZ) TK02010118
Institutional support: RVO:68145535
Keywords : stochastic Galerkin method * reduced basis method * Monte Carlo method * deflated conjugate gradient method
OECD category: Applied mathematics
https://dml.cz/bitstream/handle/10338.dmlcz/703184/PANM_21-2022-1_5.pdf
Permanent Link: https://hdl.handle.net/11104/0342775File Download Size Commentary Version Access UGN_0571877.pdf 0 1.2 MB Other require - 2.0505754 - ÚI 2020 RIV US eng J - Journal Article
Gergelits, Tomáš - Mardal, K.-A. - Nielsen, B. F. - Strakoš, Z.
Laplacian Preconditioning of Elliptic PDEs: Localization of the Eigenvalues of the Discretized Operator.
SIAM Journal on Numerical Analysis. Roč. 57, č. 3 (2019), s. 1369-1394. ISSN 0036-1429. E-ISSN 1095-7170
Grant - others:GA ČR(CZ) GC17-04150J
Institutional support: RVO:67985807
Keywords : second order elliptic PDEs * eigenvalues of the discretized preconditioned problem * preconditioning by the inverse Laplacian * nodal values of the coefficient function * Hall's theorem * convergence of the conjugate gradient method
OECD category: Pure mathematics
Impact factor: 2.712, year: 2019
Method of publishing: Limited access
http://dx.doi.org/10.1137/18M1212458
Permanent Link: http://hdl.handle.net/11104/0297150File Download Size Commentary Version Access 0505754-afin.pdf 12 2.8 MB Publisher’s postprint require - 3.0501181 - ÚI 2020 RIV CZ eng K - Conference Paper (Czech conference)
Gergelits, Tomáš - Mardal, K.-A. - Nielsen, B. F. - Strakoš, Z.
Laplacian preconditioning of elliptic PDEs: Localization of the eigenvalues of the discretized operator.
SNA '19 - Seminar on numerical analysis. Ostrava: Institute of Geonics of the CAS, 2019 - (Blaheta, R.; Starý, J.; Sysalová, D.), s. 51-53. ISBN 978-80-86407-73-9.
[SNA´19 - Seminar on numerical analysis. Ostrava (CZ), 21.01.2019-25.01.2019]
Grant - others:GA ČR(CZ) GC17-04150J
Institutional support: RVO:67985807
Keywords : second order elliptic PDEs * preconditioning by the inverse Laplacian * eigenvalues of the discretized preconditioned problem * nodal values of the coefficient function * Hall’s theorem * convergence of the conjugate gradient method
OECD category: Pure mathematics
Permanent Link: http://hdl.handle.net/11104/0293164File Download Size Commentary Version Access 0501181a-onl.pdf 4 696.8 KB volně online Publisher’s postprint open-access - 4.0482261 - ÚI 2018 NL eng J - Journal Article
Gergelits, Tomáš - Strakoš, Zdeněk
Composite convergence bounds based on Chebyshev polynomials and finite precision conjugate gradient computations.
Numerical Algorithms. Roč. 65, č. 4 (2014), s. 759-782. ISSN 1017-1398. E-ISSN 1572-9265
Keywords : linear-systems * superlinear convergence * differential-equations * lanczos-algorithm * error estimation * recurrences * quadrature * accuracy * behavior * matrix * Conjugate gradient method * Stieltjes moment problem * Chebyshev * semi-iterative method * Composite polynomial * convergence bounds * Finite precision computations * Clusters of eigenvalues
Impact factor: 1.417, year: 2014
Permanent Link: http://hdl.handle.net/11104/0277643 - 5.0473670 - ÚI 2018 RIV NL eng J - Journal Article
Kopal, Jiří - Rozložník, Miroslav - Tůma, Miroslav
An Adaptive Multilevel Factorized Sparse Approximate Inverse Preconditioning.
Advances in Engineering Software. Roč. 113, November (2017), s. 19-24. ISSN 0965-9978. E-ISSN 1873-5339
R&D Projects: GA ČR GA13-06684S
Grant - others:GA MŠk(CZ) LL1202
Institutional support: RVO:67985807
Keywords : approximate inverse * Gram–Schmidt orthogonalization * incomplete factorization * multilevel methods * preconditioned conjugate gradient method
OECD category: Applied mathematics
Impact factor: 3.198, year: 2017
Permanent Link: http://hdl.handle.net/11104/0270800 - 6.0438752 - ÚI 2015 RIV NL eng J - Journal Article
Kopal, J. - Rozložník, Miroslav - Tůma, Miroslav
Approximate Inverse Preconditioners with Adaptive Dropping.
Advances in Engineering Software. Roč. 84, June (2015), s. 13-20. ISSN 0965-9978. E-ISSN 1873-5339
R&D Projects: GA ČR(CZ) GAP108/11/0853; GA ČR GA13-06684S
Institutional support: RVO:67985807
Keywords : approximate inverse * Gram-Schmidt orthogonalization * incomplete decomposition * preconditioned conjugate gradient method * algebraic preconditioning * pivoting
Subject RIV: BA - General Mathematics
Impact factor: 1.673, year: 2015
Permanent Link: http://hdl.handle.net/11104/0242122 - 7.0438751 - ÚGN 2015 RIV NL eng J - Journal Article
Axelsson, Owe - Karátson, J.
Reaching the superlinear convergence phase of the CG method.
Journal of Computational and Applied Mathematics. Roč. 260, č. 260 (2014), s. 244-257. ISSN 0377-0427. E-ISSN 1879-1778
R&D Projects: GA MŠMT ED1.1.00/02.0070
Institutional support: RVO:68145535
Keywords : superlinear convergence * conjugate gradient method * eigenvalues
Subject RIV: BA - General Mathematics
Impact factor: 1.266, year: 2014
http://www.sciencedirect.com/science/article/pii/S0377042713005451
Permanent Link: http://hdl.handle.net/11104/0242127File Download Size Commentary Version Access UGN_0438751.pdf 0 796.5 KB Author’s postprint open-access - 8.0430877 - ÚGN 2015 RIV DE eng C - Conference Paper (international conference)
Blaheta, Radim - Jakl, Ondřej - Starý, Jiří
Iterative solution of singular systems with applications.
Parallel Processing and Applied Mathematics. Berlin, Heidelberg: Springer-Verlag, 2014 - (Wyrzykowski, R.; Dongarra, J.; Karczewski, K.; Waśniewski, J.), s. 114-123. Lecture Notes in Computer Science, 8384, Part 1. ISBN 978-3-642-55223-6. ISSN 0302-9743.
[Parallel Processing and Applied Mathematics - International Conference PPAM 2013 /10./. Warsaw (PL), 08.09.2013-11.09.2013]
R&D Projects: GA MŠMT ED1.1.00/02.0070
Institutional support: RVO:68145535
Keywords : singular system * symmetric positive semidefinite problem * stabilized preconditioned conjugate gradient method * GEM software
Subject RIV: BA - General Mathematics
Permanent Link: http://hdl.handle.net/11104/0235543File Download Size Commentary Version Access UGN_0430877.pdf 0 263.8 KB Author´s preprint open-access - 9.0427366 - ÚI 2015 RIV US eng J - Journal Article
Lukšan, Ladislav - Vlček, Jan
Efficient Tridiagonal Preconditioner for the Matrix-Free Truncated Newton Method.
Applied Mathematics and Computation. Roč. 235, 25 May (2014), s. 394-407. ISSN 0096-3003. E-ISSN 1873-5649
R&D Projects: GA ČR GA13-06684S
Institutional support: RVO:67985807
Keywords : unconstrained optimization * large scale optimization * matrix-free truncated Newton method * preconditioned conjugate gradient method * preconditioners obtained by the directional differentiation * numerical algorithms
Subject RIV: BA - General Mathematics
Impact factor: 1.551, year: 2014
Permanent Link: http://hdl.handle.net/11104/0232910 - 10.0405612 - UIVT-O 330994 RIV SE eng J - Journal Article
Strakoš, Zdeněk - Tichý, Petr
Error Estimation in Preconditioned Conjugate Gradients.
[Odhady chyb v přepodmíněné metodě konjugovaných gradientů.]
Bit. Roč. 45, - (2005), s. 789-817. ISSN 0006-3835. E-ISSN 1572-9125
R&D Projects: GA AV ČR 1ET400300415; GA AV ČR KJB1030306
Institutional research plan: CEZ:AV0Z10300504
Keywords : preconditioned conjugate gradient method * error bounds * stopping criteria * evaluation of convergence * numerical stability * finite precision arithmetic * rounding errors
Subject RIV: BA - General Mathematics
Impact factor: 0.509, year: 2005
Permanent Link: http://hdl.handle.net/11104/0125762File Download Size Commentary Version Access 0405612.pdf 0 1.7 MB Author´s preprint open-access