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- 1.0579562 - ÚGN 2025 RIV US eng J - Journal Article
Karátson, J. - Sysala, Stanislav - Béreš, Michal
Quasi-Newton variable preconditioning for nonlinear elasticity systems in 3D.
Numerical Linear Algebra with Applications. Roč. 31, č. 3 (2024), č. článku e2537. ISSN 1070-5325. E-ISSN 1099-1506
Institutional support: RVO:68145535
Keywords : deflated conjugate gradient * mesh independence * nonlinear elasticity * preconditioning * Quasi-Newton methods
OECD category: Applied mathematics
Impact factor: 4.3, year: 2022
Method of publishing: Open access
https://onlinelibrary.wiley.com/doi/10.1002/nla.2537
Permanent Link: https://hdl.handle.net/11104/0348374 - 2.0571877 - 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 - 3.0534423 - ÚGN 2021 RIV NL eng J - Journal Article
Kružík, Jakub - Horák, David - Hapla, V. - Čermák, M.
Comparison of selected FETI coarse space projector implementation strategies.
Parallel Computing. Roč. 93, May 2020 (2020), č. článku 102608. ISSN 0167-8191. E-ISSN 1872-7336
R&D Projects: GA MŠMT LQ1602
Grant - others:Ga MŠk(CZ) LM2015070
Institutional support: RVO:68145535
Keywords : FETI * TFETI * coarse problem * explicit inverse * deflated conjugate gradient * direct solver * DDM * PERMON MPI * MPI subcommunicators
OECD category: Applied mathematics
Impact factor: 0.986, year: 2020
Method of publishing: Limited access
https://www.sciencedirect.com/science/article/pii/S0167819120300016?via%3Dihub
Permanent Link: http://hdl.handle.net/11104/0312625File Download Size Commentary Version Access UGN_0534423.pdf 1 2 MB Publisher’s postprint require - 4.0505754 - 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 - 5.0501181 - 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 - 6.0495023 - MÚ 2019 RIV US eng J - Journal Article
Carson, E.T. - Rozložník, Miroslav - Strakoš, Z. - Tichý, P. - Tůma, M.
The numerical stability analysis of pipelined conjugate gradient methods: historical context and methodology.
SIAM Journal on Scientific Computing. Roč. 40, č. 5 (2018), A3549-A3580. ISSN 1064-8275. E-ISSN 1095-7197
Institutional support: RVO:67985840
Keywords : pipelined Krylov subspace methods * pipelined conjugate gradient methods * numerical stability
OECD category: Pure mathematics
Impact factor: 2.310, year: 2018
https://epubs.siam.org/doi/abs/10.1137/16M1103361
Permanent Link: http://hdl.handle.net/11104/0288062File Download Size Commentary Version Access Rozloznik1.pdf 15 19.5 MB Publisher’s postprint require - 7.0482261 - 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 - 8.0473670 - 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 - 9.0444128 - ÚI 2016 RIV CZ eng C - Conference Paper (international conference)
Lukšan, Ladislav - Vlček, Jan
Nonlinear Conjugate Gradient Methods.
Programs and algorithms of numerical mathematics 17. Proceedings of seminar. Praha: Matematický ústav AV ČR, v.v.i, 2015 - (Chleboun, J.; Přikryl, P.; Segeth, K.; Šístek, J.; Vejchodský, T.), s. 130-135. ISBN 978-80-85823-64-6.
[Programs and Algorithms of Numerical Mathematics /17./. Dolní Maxov (CZ), 08.06.2014-13.06.2014]
Institutional support: RVO:67985807
Keywords : minimization * nonlinear conjugate gradient methods * comparison of methods * efficiency of methods
Subject RIV: BA - General Mathematics
http://dml.cz/handle/10338.dmlcz/702674
Permanent Link: http://hdl.handle.net/11104/0246706File Download Size Commentary Version Access PANM_17-2014-1_22.pdf 8 173.2 KB Publisher’s postprint open-access - 10.0438752 - 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