Search results
- 1.0428023 - ÚI 2015 RIV US eng J - Journal Article
Papež, Jan - Liesen, J. - Strakoš, Z.
Distribution of the Discretization and Algebraic Error in Numerical Solution of Partial Differential Equations.
Linear Algebra and Its Applications. Roč. 449, 15 May (2014), s. 89-114. ISSN 0024-3795. E-ISSN 1873-1856
R&D Projects: GA AV ČR IAA100300802; GA ČR GA201/09/0917
Grant - others:GA MŠk(CZ) LL1202; GA UK(CZ) 695612
Institutional support: RVO:67985807
Keywords : numerical solution of partial differential equations * finite element method * adaptivity * a posteriori error analysis * discretization error * algebraic error * spatial distribution of the error
Subject RIV: BA - General Mathematics
Impact factor: 0.939, year: 2014
Permanent Link: http://hdl.handle.net/11104/0233442 - 2.0390278 - ÚI 2014 RIV NL eng J - Journal Article
Duintjer Tebbens, Jurjen - Meurant, G.
Prescribing the behavior of early terminating GMRES and Arnoldi iterations.
Numerical Algorithms. Roč. 65, č. 1 (2014), s. 69-90. ISSN 1017-1398. E-ISSN 1572-9265
R&D Projects: GA AV ČR IAA100300802
Grant - others:GA AV ČR(CZ) M100301201
Institutional research plan: CEZ:AV0Z10300504
Keywords : Arnoldi process * early termination * GMRES method * prescribed GMRES convergence * Arnoldi method * prescribed Ritz values
Subject RIV: BA - General Mathematics
Impact factor: 1.417, year: 2014
Permanent Link: http://hdl.handle.net/11104/0219143 - 3.0390209 - ÚI 2013 RIV NL eng J - Journal Article
Meurant, G. - Tichý, Petr
On computing quadrature-based bounds for the A-norm of the error in conjugate gradients.
Numerical Algorithms. Roč. 62, č. 2 (2013), s. 163-191. ISSN 1017-1398. E-ISSN 1572-9265
R&D Projects: GA AV ČR IAA100300802
Institutional research plan: CEZ:AV0Z10300504
Keywords : conjugate gradients * norm of the error * bounds for the error norm
Subject RIV: BA - General Mathematics
Impact factor: 1.005, year: 2013
Permanent Link: http://hdl.handle.net/11104/0219082File Download Size Commentary Version Access 0390209.pdf 2 651.2 KB Author´s preprint require - 4.0382221 - ÚI 2013 RIV US eng J - Journal Article
Duintjer Tebbens, Jurjen - Meurant, G.
Any Ritz Value Behavior Is Possible for Arnoldi and for GMRES.
SIAM Journal on Matrix Analysis and Applications. Roč. 33, č. 3 (2012), s. 958-978. ISSN 0895-4798. E-ISSN 1095-7162
R&D Projects: GA AV ČR IAA100300802
Grant - others:GA AV ČR(CZ) M100300901
Institutional research plan: CEZ:AV0Z10300504
Keywords : Ritz values * Arnoldi process * Arnoldi method * GMRES method * prescribed convergence * interlacing properties
Subject RIV: BA - General Mathematics
Impact factor: 1.342, year: 2012
Permanent Link: http://hdl.handle.net/11104/0212509 - 5.0380511 - ÚI 2013 HU eng J - Journal Article
Rozložník, Miroslav
Do we always need to solve our problems exactly?
Informatika. Roč. 14, č. 2 (2012), s. 3-7. ISSN 1419-2527
R&D Projects: GA AV ČR IAA100300802
Institutional research plan: CEZ:AV0Z10300504
Keywords : mathematical modelling * error analysis * numerical stability * backward error
Subject RIV: BA - General Mathematics
http://www.gdf.hu/sites/default/files/informatika_40_02.pdf
Permanent Link: http://hdl.handle.net/11104/0211201 - 6.0376851 - ÚI 2013 RIV SE eng J - Journal Article
Rozložník, Miroslav - Tůma, Miroslav - Smoktunowicz, A. - Kopal, J.
Numerical stability of orthogonalization methods with a non-standard inner product.
Bit. Roč. 52, č. 4 (2012), s. 1035-1058. ISSN 0006-3835. E-ISSN 1572-9125
R&D Projects: GA ČR(CZ) GAP108/11/0853; GA AV ČR IAA100300802
Institutional support: RVO:67985807
Keywords : orthogonalization schemes * QR factorization * Gram–Schmidt process * preconditioning * rounding error analysis
Subject RIV: BA - General Mathematics
Impact factor: 0.977, year: 2012
Permanent Link: http://hdl.handle.net/11104/0209157File Download Size Commentary Version Access 0376851.pdf 4 726.9 KB Author´s preprint open-access - 7.0375603 - ÚI 2012 RIV US eng J - Journal Article
Hnětynková, I. - Plešinger, Martin - Sima, D.M. - Strakoš, Z. - Huffel van, S.
The Total Least Squares Problem in AX approximate to B: A New Classification with the Relationship to the Classical Works.
SIAM Journal on Matrix Analysis and Applications. Roč. 32, č. 3 (2011), s. 748-770. ISSN 0895-4798. E-ISSN 1095-7162
R&D Projects: GA AV ČR IAA100300802
Grant - others:GA ČR(CZ) GA201/09/0917
Program: GA
Institutional research plan: CEZ:AV0Z10300504
Keywords : total least squares * multiple right-hand sides * linear approximation problems * orthogonally invariant problems * orthogonal regression * errors-in-variables modeling
Subject RIV: BA - General Mathematics
Impact factor: 1.368, year: 2011
Permanent Link: http://hdl.handle.net/11104/0208210 - 8.0371221 - ÚI 2013 RIV GB eng J - Journal Article
Hirn, A. - Lanzendörfer, Martin - Stebel, Jan
Finite element approximation of flow of fluids with shear-rate- and pressure-dependent viscosity.
IMA Journal of Numerical Analysis. Roč. 32, č. 4 (2012), s. 1604-1634. ISSN 0272-4979. E-ISSN 1464-3642
R&D Projects: GA ČR GA201/09/0917; GA AV ČR IAA100300802; GA MŠMT LC06052
Institutional research plan: CEZ:AV0Z10300504; CEZ:AV0Z10190503
Keywords : non-Newtonian fluid * shear-rate- and pressure-dependent viscosity * finite element method * error analysis
Subject RIV: BK - Fluid Dynamics
Impact factor: 1.326, year: 2012
Permanent Link: http://hdl.handle.net/11104/0204791 - 9.0358802 - ÚI 2012 RIV US eng J - Journal Article
Strakoš, Z. - Tichý, Petr
On Efficient Numerical Approximation of the Bilinear Form c* A(-1)b.
SIAM Journal on Scientific Computing. Roč. 33, č. 2 (2011), s. 565-587. ISSN 1064-8275. E-ISSN 1095-7197
R&D Projects: GA AV ČR IAA100300802
Grant - others:GA ČR(CZ) GA201/09/0917; GA AV ČR(CZ) M100300901
Program: GA
Institutional research plan: CEZ:AV0Z10300504
Keywords : bilinear forms * scattering amplitude * method of moments * Krylov subspace methods * conjugate gradient method * biconjugate gradient method * Lanczos algorithm * Arnoldi algorithm * Gauss-Christoffel quadrature * model reduction
Subject RIV: BA - General Mathematics
Impact factor: 1.569, year: 2011
Permanent Link: http://hdl.handle.net/11104/0196736File Download Size Commentary Version Access 0358802.pdf 2 956.2 KB Author´s preprint open-access - 10.0351682 - ÚI 2011 RIV US eng J - Journal Article
Bru, R. - Marín, J. - Mas, J. - Tůma, Miroslav
Improved Balanced Incomplete Factorization.
SIAM Journal on Matrix Analysis and Applications. Roč. 31, č. 5 (2010), s. 2431-2452. ISSN 0895-4798. E-ISSN 1095-7162
R&D Projects: GA AV ČR IAA100300802
Grant - others:GA AV ČR(CZ) M100300902
Institutional research plan: CEZ:AV0Z10300504
Source of funding: I
Keywords : preconditioned iterative methods * sparse matrices * incomplete decompositions * approximate inverses * Sherman-Morrison formula * nonsymmetric matrices
Subject RIV: BA - General Mathematics
Impact factor: 1.725, year: 2010
Permanent Link: http://hdl.handle.net/11104/0191385File Download Size Commentary Version Access 0351682.pdf 1 788.3 KB Author´s preprint open-access