Chen, Jie; Saad, Yousef; Zhang, Zechen Graph coarsening: from scientific computing to machine learning. (English) Zbl 07511992 S\(\vec{\text{e}}\)MA J. 79, No. 1, 187-223 (2022). MSC: 65N55 65F10 68T05 05C85 94C15 PDF BibTeX XML Cite \textit{J. Chen} et al., S\(\vec{\text{e}}\)MA J. 79, No. 1, 187--223 (2022; Zbl 07511992) Full Text: DOI OpenURL
Führer, Thomas Multilevel decompositions and norms for negative order Sobolev spaces. (English) Zbl 1483.65196 Math. Comput. 91, No. 333, 183-218 (2022). MSC: 65N38 65F08 65F35 65N30 65N55 PDF BibTeX XML Cite \textit{T. Führer}, Math. Comput. 91, No. 333, 183--218 (2022; Zbl 1483.65196) Full Text: DOI arXiv OpenURL
Li, Rui; Yang, Haijian; Yang, Chao Adaptive fully implicit simulator with multilevel Schwarz methods for gas reservoir flows in fractured porous media. (English) Zbl 1482.65183 Commun. Comput. Phys. 30, No. 5, 1499-1528 (2021). MSC: 65M60 65M22 65M55 76S05 PDF BibTeX XML Cite \textit{R. Li} et al., Commun. Comput. Phys. 30, No. 5, 1499--1528 (2021; Zbl 1482.65183) Full Text: DOI OpenURL
Bousquet, Arthur; Li, Yukun; Wang, Guanqian Some algorithms for the mean curvature flow under topological changes. (English) Zbl 1476.65238 Comput. Appl. Math. 40, No. 4, Paper No. 104, 21 p. (2021). MSC: 65M60 35K57 53E10 65M12 65M22 65M55 PDF BibTeX XML Cite \textit{A. Bousquet} et al., Comput. Appl. Math. 40, No. 4, Paper No. 104, 21 p. (2021; Zbl 1476.65238) Full Text: DOI arXiv OpenURL
Xie, Manting; Xu, Fei; Yue, Meiling A type of full multigrid method for non-selfadjoint Steklov eigenvalue problems in inverse scattering. (English) Zbl 1481.65214 ESAIM, Math. Model. Numer. Anal. 55, No. 5, 1779-1802 (2021). MSC: 65N21 65N55 65N25 65N30 65N50 65N12 35P25 PDF BibTeX XML Cite \textit{M. Xie} et al., ESAIM, Math. Model. Numer. Anal. 55, No. 5, 1779--1802 (2021; Zbl 1481.65214) Full Text: DOI OpenURL
Jiao, Xiangmin; Wang, Xuebin; Chen, Qiao Optimal and low-memory near-optimal preconditioning of fully implicit Runge-Kutta schemes for parabolic PDEs. (English) Zbl 07418132 SIAM J. Sci. Comput. 43, No. 5, A3527-A3551 (2021). MSC: 65F08 65F50 65M99 PDF BibTeX XML Cite \textit{X. Jiao} et al., SIAM J. Sci. Comput. 43, No. 5, A3527--A3551 (2021; Zbl 07418132) Full Text: DOI arXiv OpenURL
Tang, Shibing; Xu, Xuejun An optimal multilevel method with one smoothing step for the Morley element. (English) Zbl 1473.65318 Comput. Methods Appl. Math. 21, No. 3, 609-633 (2021). MSC: 65N30 65N55 35J40 PDF BibTeX XML Cite \textit{S. Tang} and \textit{X. Xu}, Comput. Methods Appl. Math. 21, No. 3, 609--633 (2021; Zbl 1473.65318) Full Text: DOI OpenURL
Faustmann, Markus; Melenk, Jens Markus; Parvizi, Maryam On the stability of Scott-Zhang type operators and application to multilevel preconditioning in fractional diffusion. (English) Zbl 07381649 ESAIM, Math. Model. Numer. Anal. 55, No. 2, 595-625 (2021). MSC: 65D05 65F08 65N30 35R11 PDF BibTeX XML Cite \textit{M. Faustmann} et al., ESAIM, Math. Model. Numer. Anal. 55, No. 2, 595--625 (2021; Zbl 07381649) Full Text: DOI arXiv OpenURL
Barker, Andrew T.; Gelever, Stephan V.; Lee, Chak S.; Osborn, Sarah V.; Vassilevski, Panayot S. Multilevel spectral coarsening for graph Laplacian problems with application to reservoir simulation. (English) Zbl 1482.65222 SIAM J. Sci. Comput. 43, No. 4, A2737-A2765 (2021). Reviewer: Abdallah Bradji (Annaba) MSC: 65N55 65N08 65C05 65N75 PDF BibTeX XML Cite \textit{A. T. Barker} et al., SIAM J. Sci. Comput. 43, No. 4, A2737--A2765 (2021; Zbl 1482.65222) Full Text: DOI arXiv OpenURL
Van Barel, Andreas; Vandewalle, Stefan MG/OPT and multilevel Monte Carlo for robust optimization of PDEs. (English) Zbl 1480.35385 SIAM J. Optim. 31, No. 3, 1850-1876 (2021). Reviewer: Antonio André Novotny (Petrópolis) MSC: 35Q93 65C05 65K10 49M05 49M41 65N55 PDF BibTeX XML Cite \textit{A. Van Barel} and \textit{S. Vandewalle}, SIAM J. Optim. 31, No. 3, 1850--1876 (2021; Zbl 1480.35385) Full Text: DOI arXiv OpenURL
Al Daas, Hussam; Grigori, Laura; Jolivet, Pierre; Tournier, Pierre-Henri A multilevel Schwarz preconditioner based on a hierarchy of robust coarse spaces. (English) Zbl 07364342 SIAM J. Sci. Comput. 43, No. 3, A1907-A1928 (2021). MSC: 65F08 65F10 65N55 PDF BibTeX XML Cite \textit{H. Al Daas} et al., SIAM J. Sci. Comput. 43, No. 3, A1907--A1928 (2021; Zbl 07364342) Full Text: DOI OpenURL
Fairbanks, Hillary R.; Osborn, Sarah; Vassilevski, Panayot S. Estimating posterior quantity of interest expectations in a multilevel scalable framework. (English) Zbl 07361109 Numer. Linear Algebra Appl. 28, No. 3, e2352, 20 p. (2021). MSC: 65C05 65N55 PDF BibTeX XML Cite \textit{H. R. Fairbanks} et al., Numer. Linear Algebra Appl. 28, No. 3, e2352, 20 p. (2021; Zbl 07361109) Full Text: DOI OpenURL
Zhang, Ning; Han, Xiaole; He, Yunhui; Xie, Hehu; You, Chun’guang An algebraic multigrid method for eigenvalue problems and its numerical tests. (English) Zbl 1468.65181 East Asian J. Appl. Math. 11, No. 1, 1-19 (2021). MSC: 65N25 65N55 65N30 PDF BibTeX XML Cite \textit{N. Zhang} et al., East Asian J. Appl. Math. 11, No. 1, 1--19 (2021; Zbl 1468.65181) Full Text: DOI OpenURL
Liu, Yingzhi; Cai, Xiao-Chuan A central-line coarse preconditioner for Stokes flows in artery-like domains. (English) Zbl 1464.76057 Numer. Algorithms 87, No. 1, 137-160 (2021). MSC: 76M10 76Z05 76D07 92C35 PDF BibTeX XML Cite \textit{Y. Liu} and \textit{X.-C. Cai}, Numer. Algorithms 87, No. 1, 137--160 (2021; Zbl 1464.76057) Full Text: DOI OpenURL
Li, Zhihan; Fan, Yuwei; Ying, Lexing Multilevel fine-tuning: closing generalization gaps in approximation of solution maps under a limited budget for training data. (English) Zbl 1468.65220 Multiscale Model. Simul. 19, No. 1, 344-373 (2021). MSC: 65N55 65C20 65C05 62J07 62M45 68T05 PDF BibTeX XML Cite \textit{Z. Li} et al., Multiscale Model. Simul. 19, No. 1, 344--373 (2021; Zbl 1468.65220) Full Text: DOI arXiv OpenURL
Lucero Lorca, José Pablo; Kanschat, Guido Multilevel Schwarz preconditioners for singularly perturbed symmetric reaction-diffusion systems. (English) Zbl 1454.65015 ETNA, Electron. Trans. Numer. Anal. 54, 89-107 (2021). MSC: 65F08 65N55 65N30 PDF BibTeX XML Cite \textit{J. P. Lucero Lorca} and \textit{G. Kanschat}, ETNA, Electron. Trans. Numer. Anal. 54, 89--107 (2021; Zbl 1454.65015) Full Text: DOI arXiv Link OpenURL
Xu, Fei; Huang, Qiumei; Jiang, Kun; Ma, Hongkun Local and parallel multigrid method for semilinear elliptic equations. (English) Zbl 1460.65154 Appl. Numer. Math. 162, 20-34 (2021). MSC: 65N55 65N50 65Y05 65N30 35J61 35B45 PDF BibTeX XML Cite \textit{F. Xu} et al., Appl. Numer. Math. 162, 20--34 (2021; Zbl 1460.65154) Full Text: DOI OpenURL
Peng, Jie; Shu, Shi; Wang, Junxian; Zhong, Liuqiang Adaptive-multilevel BDDC algorithm for three-dimensional plane wave Helmholtz systems. (English) Zbl 1446.65178 J. Comput. Appl. Math. 381, Article ID 113011, 21 p. (2021). MSC: 65N30 65F10 65N55 65N50 35J05 35J20 PDF BibTeX XML Cite \textit{J. Peng} et al., J. Comput. Appl. Math. 381, Article ID 113011, 21 p. (2021; Zbl 1446.65178) Full Text: DOI arXiv OpenURL
Bolusani, Suresh; Coniglio, Stefano; Ralphs, Ted K.; Tahernejad, Sahar A unified framework for multistage mixed integer linear optimization. (English) Zbl 1481.90229 Dempe, Stephan (ed.) et al., Bilevel optimization. Advances and next challenges. Cham: Springer. Springer Optim. Appl. 161, 513-560 (2020). MSC: 90C11 90C15 PDF BibTeX XML Cite \textit{S. Bolusani} et al., Springer Optim. Appl. 161, 513--560 (2020; Zbl 1481.90229) Full Text: DOI OpenURL
Hanek, Martin; Šístek, Jakub; Burda, Pavel Multilevel BDDC for incompressible Navier-Stokes equations. (English) Zbl 1457.65238 SIAM J. Sci. Comput. 42, No. 6, C359-C383 (2020). Reviewer: Chandrasekhar Salimath (Bengaluru) MSC: 65N55 65Y05 76D05 65N30 35Q30 65F08 65F10 PDF BibTeX XML Cite \textit{M. Hanek} et al., SIAM J. Sci. Comput. 42, No. 6, C359--C383 (2020; Zbl 1457.65238) Full Text: DOI OpenURL
Le Borne, Sabine; Wende, Michael Multilevel interpolation of scattered data using \(\mathcal{H}\)-matrices. (English) Zbl 1456.65011 Numer. Algorithms 85, No. 4, 1175-1193 (2020). MSC: 65D05 41A05 65F08 65F10 65N55 PDF BibTeX XML Cite \textit{S. Le Borne} and \textit{M. Wende}, Numer. Algorithms 85, No. 4, 1175--1193 (2020; Zbl 1456.65011) Full Text: DOI OpenURL
Bacuta, Constantin; Jacavage, Jacob Least squares preconditioning for mixed methods with nonconforming trial spaces. (English) Zbl 1465.65124 Appl. Anal. 99, No. 16, 2755-2775 (2020). Reviewer: Calin Ioan Gheorghiu (Cluj-Napoca) MSC: 65N30 65N22 65N55 65F10 65K10 PDF BibTeX XML Cite \textit{C. Bacuta} and \textit{J. Jacavage}, Appl. Anal. 99, No. 16, 2755--2775 (2020; Zbl 1465.65124) Full Text: DOI OpenURL
Bachmayr, Markus; Kazeev, Vladimir Stability of low-rank tensor representations and structured multilevel preconditioning for elliptic PDEs. (English) Zbl 1454.65160 Found. Comput. Math. 20, No. 5, 1175-1236 (2020). MSC: 65N30 65N55 65N12 65F08 65F10 65F35 65Y20 15A69 35J25 PDF BibTeX XML Cite \textit{M. Bachmayr} and \textit{V. Kazeev}, Found. Comput. Math. 20, No. 5, 1175--1236 (2020; Zbl 1454.65160) Full Text: DOI arXiv OpenURL
Nagy, Shady Ahmed; El-Beltagy, Mohamed A.; Wafa, Mohamed Multilevel Monte Carlo by using the Halton sequence. (English) Zbl 1454.65003 Monte Carlo Methods Appl. 26, No. 3, 193-203 (2020). MSC: 65C05 65M55 34K50 60H10 65C10 65C30 PDF BibTeX XML Cite \textit{S. A. Nagy} et al., Monte Carlo Methods Appl. 26, No. 3, 193--203 (2020; Zbl 1454.65003) Full Text: DOI OpenURL
Trofimova, Svetlana Alekseevna; Itkina, Natalia Borisovna; Shurina, Ella Petrovna Hierarchical basis in \(H^{\operatorname{div}}\) space for a mixed finite element formulation of the Darcy problem. (Russian. English summary) Zbl 1448.65248 Sib. Èlektron. Mat. Izv. 17, 1741-1765 (2020). MSC: 65N30 76M10 65F10 65N55 35J25 PDF BibTeX XML Cite \textit{S. A. Trofimova} et al., Sib. Èlektron. Mat. Izv. 17, 1741--1765 (2020; Zbl 1448.65248) Full Text: DOI OpenURL
Gander, Martin J.; Vanzan, Tommaso Multilevel optimized Schwarz methods. (English) Zbl 1475.65212 SIAM J. Sci. Comput. 42, No. 5, A3180-A3209 (2020). Reviewer: Zhiming Chen (Beijing) MSC: 65N55 65N22 65N12 65F10 65F08 49K35 35J05 76S05 PDF BibTeX XML Cite \textit{M. J. Gander} and \textit{T. Vanzan}, SIAM J. Sci. Comput. 42, No. 5, A3180--A3209 (2020; Zbl 1475.65212) Full Text: DOI OpenURL
Kong, Fande; Wang, Yaqi; Gaston, Derek R.; Permann, Cody J.; Slaughter, Andrew E.; Lindsay, Alexander D.; DeHart, Mark D.; Martineau, Richard C. A highly parallel multilevel Newton-Krylov-Schwarz method with subspace-based coarsening and partition-based balancing for the multigroup neutron transport equation on three-dimensional unstructured meshes. (English) Zbl 1451.65221 SIAM J. Sci. Comput. 42, No. 5, C193-C220 (2020). MSC: 65N55 65Y05 65N25 65N30 65F08 65F10 82D75 35Q49 35Q82 PDF BibTeX XML Cite \textit{F. Kong} et al., SIAM J. Sci. Comput. 42, No. 5, C193--C220 (2020; Zbl 1451.65221) Full Text: DOI OpenURL
Miraçi, Ani; Papež, Jan; Vohralík, Martin A multilevel algebraic error estimator and the corresponding iterative solver with \(p\)-robust behavior. (English) Zbl 1451.65222 SIAM J. Numer. Anal. 58, No. 5, 2856-2884 (2020). Reviewer: Marius Ghergu (Dublin) MSC: 65N55 65N30 65F10 65N15 65N22 35J05 PDF BibTeX XML Cite \textit{A. Miraçi} et al., SIAM J. Numer. Anal. 58, No. 5, 2856--2884 (2020; Zbl 1451.65222) Full Text: DOI OpenURL
Zheng, Qingqing; Xi, Yuanzhe; Saad, Yousef Multicolor low-rank preconditioner for general sparse linear systems. (English) Zbl 1474.65070 Numer. Linear Algebra Appl. 27, No. 4, e2316, 18 p. (2020). MSC: 65F08 65F50 PDF BibTeX XML Cite \textit{Q. Zheng} et al., Numer. Linear Algebra Appl. 27, No. 4, e2316, 18 p. (2020; Zbl 1474.65070) Full Text: DOI OpenURL
Xu, Fei; Huang, Qiumei; Ma, Hongkun A novel domain decomposition framework for the ground state solution of Bose-Einstein condensates. (English) Zbl 1447.65176 Comput. Math. Appl. 80, No. 5, 1287-1300 (2020). MSC: 65N55 65N30 65N25 65F15 65Y05 82B10 35Q55 PDF BibTeX XML Cite \textit{F. Xu} et al., Comput. Math. Appl. 80, No. 5, 1287--1300 (2020; Zbl 1447.65176) Full Text: DOI OpenURL
Bacuta, Constantin; Jacavage, Jacob Saddle point least squares for the reaction-diffusion problem. (English) Zbl 1443.76193 Results Appl. Math. 8, Article ID 100105, 14 p. (2020). MSC: 76M99 76R50 76V05 65N22 65N55 PDF BibTeX XML Cite \textit{C. Bacuta} and \textit{J. Jacavage}, Results Appl. Math. 8, Article ID 100105, 14 p. (2020; Zbl 1443.76193) Full Text: DOI OpenURL
Hessenthaler, Andreas; Southworth, Ben S.; Nordsletten, David; Röhrle, Oliver; Falgout, Robert D.; Schroder, Jacob B. Multilevel convergence analysis of multigrid-reduction-in-time. (English) Zbl 1432.65177 SIAM J. Sci. Comput. 42, No. 2, A771-A796 (2020). MSC: 65N55 65N06 65L06 65Y05 PDF BibTeX XML Cite \textit{A. Hessenthaler} et al., SIAM J. Sci. Comput. 42, No. 2, A771--A796 (2020; Zbl 1432.65177) Full Text: DOI arXiv OpenURL
Becerra-Sagredo, Julián-Tercero; Málaga, Carlos; Mandujano, Francisco A GPU-based multi-level algorithm for boundary value problems. (English) Zbl 1433.78028 J. Comput. Appl. Math. 368, Article ID 112481, 11 p. (2020). MSC: 78M20 78A30 35J05 35Q60 65N06 65N55 65Y10 65D05 PDF BibTeX XML Cite \textit{J.-T. Becerra-Sagredo} et al., J. Comput. Appl. Math. 368, Article ID 112481, 11 p. (2020; Zbl 1433.78028) Full Text: DOI arXiv OpenURL
Hrnčíř, Jakub; Pultarová, Ivana; Strakoš, Zdeněk Decomposition into subspaces preconditioning: abstract framework. (English) Zbl 1434.65259 Numer. Algorithms 83, No. 1, 57-98 (2020). MSC: 65N30 65J10 35J25 65F35 65F10 47A50 PDF BibTeX XML Cite \textit{J. Hrnčíř} et al., Numer. Algorithms 83, No. 1, 57--98 (2020; Zbl 1434.65259) Full Text: DOI OpenURL
Li, Junpu; Chen, Wen; Qin, Qing-Hua; Fu, Zhuojia A modified multilevel algorithm for large-scale scientific and engineering computing. (English) Zbl 1442.65429 Comput. Math. Appl. 77, No. 8, 2061-2076 (2019). MSC: 65N55 35J25 PDF BibTeX XML Cite \textit{J. Li} et al., Comput. Math. Appl. 77, No. 8, 2061--2076 (2019; Zbl 1442.65429) Full Text: DOI OpenURL
Mycek, Paul; De Lozzo, Matthias Multilevel Monte Carlo covariance estimation for the computation of Sobol’ indices. (English) Zbl 1483.65012 SIAM/ASA J. Uncertain. Quantif. 7, 1323-1348 (2019). MSC: 65C05 65N55 62L12 62D05 68Q25 PDF BibTeX XML Cite \textit{P. Mycek} and \textit{M. De Lozzo}, SIAM/ASA J. Uncertain. Quantif. 7, 1323--1348 (2019; Zbl 1483.65012) Full Text: DOI OpenURL
Kehl, René; Nabben, Reinhard; Szyld, Daniel B. Adaptive multilevel Krylov methods. (English) Zbl 1431.65033 ETNA, Electron. Trans. Numer. Anal. 51, 512-528 (2019). MSC: 65F10 65F50 65N22 65N55 PDF BibTeX XML Cite \textit{R. Kehl} et al., ETNA, Electron. Trans. Numer. Anal. 51, 512--528 (2019; Zbl 1431.65033) Full Text: DOI Link OpenURL
Xie, Hehu; Xie, Manting; Zhang, Ning An efficient multigrid method for semilinear elliptic equation. (Chinese. English summary) Zbl 1449.65347 J. Numer. Methods Comput. Appl. 40, No. 2, 143-160 (2019). MSC: 65N55 65N30 35J61 65Y05 PDF BibTeX XML Cite \textit{H. Xie} et al., J. Numer. Methods Comput. Appl. 40, No. 2, 143--160 (2019; Zbl 1449.65347) OpenURL
Herrmann, Lukas Strong convergence analysis of iterative solvers for random operator equations. (English) Zbl 1431.65202 Calcolo 56, No. 4, Paper No. 46, 26 p. (2019). MSC: 65N15 65N30 65C30 65C05 65N12 65N55 60H25 PDF BibTeX XML Cite \textit{L. Herrmann}, Calcolo 56, No. 4, Paper No. 46, 26 p. (2019; Zbl 1431.65202) Full Text: DOI OpenURL
Lu, Peipei; Xu, Xuejun A robust multilevel preconditioner based on a domain decomposition method for the Helmholtz equation. (English) Zbl 1442.65430 J. Sci. Comput. 81, No. 1, 291-311 (2019). MSC: 65N55 35J05 65F10 65F08 65N30 PDF BibTeX XML Cite \textit{P. Lu} and \textit{X. Xu}, J. Sci. Comput. 81, No. 1, 291--311 (2019; Zbl 1442.65430) Full Text: DOI OpenURL
Kopaničáková, Alena; Krause, Rolf; Tamstorf, Rasmus Subdivision-based nonlinear multiscale cloth simulation. (English) Zbl 1425.74297 SIAM J. Sci. Comput. 41, No. 5, S433-S461 (2019). MSC: 74K25 74B20 65M55 65K10 PDF BibTeX XML Cite \textit{A. Kopaničáková} et al., SIAM J. Sci. Comput. 41, No. 5, S433--S461 (2019; Zbl 1425.74297) Full Text: DOI OpenURL
Xu, Fei; Luo, Fusheng A cascadic multigrid method for semilinear elliptic equations. (English) Zbl 1438.65313 J. Comput. Math. 37, No. 1, 112-129 (2019). MSC: 65N55 65N30 35J61 65N12 65Y05 PDF BibTeX XML Cite \textit{F. Xu} and \textit{F. Luo}, J. Comput. Math. 37, No. 1, 112--129 (2019; Zbl 1438.65313) Full Text: DOI OpenURL
Shaydulin, Ruslan; Chen, Jie; Safro, Ilya Relaxation-based coarsening for multilevel hypergraph partitioning. (English) Zbl 1419.05160 Multiscale Model. Simul. 17, No. 1, 482-506 (2019). MSC: 05C65 05C70 05C85 90C06 90C35 65M55 PDF BibTeX XML Cite \textit{R. Shaydulin} et al., Multiscale Model. Simul. 17, No. 1, 482--506 (2019; Zbl 1419.05160) Full Text: DOI arXiv OpenURL
Bacuta, Constantin; Jacavage, Jacob A non-conforming saddle point least squares approach for an elliptic interface problem. (English) Zbl 1421.74094 Comput. Methods Appl. Math. 19, No. 3, 399-414 (2019). MSC: 74S05 74B05 65N22 65N55 PDF BibTeX XML Cite \textit{C. Bacuta} and \textit{J. Jacavage}, Comput. Methods Appl. Math. 19, No. 3, 399--414 (2019; Zbl 1421.74094) Full Text: DOI arXiv OpenURL
Kumar, Prashant; Rodrigo, Carmen; Gaspar, Francisco J.; Oosterlee, Cornelis W. On local Fourier analysis of multigrid methods for PDEs with jumping and random coefficients. (English) Zbl 1435.65053 SIAM J. Sci. Comput. 41, No. 3, A1385-A1413 (2019). MSC: 65F10 65M22 65M55 65C05 PDF BibTeX XML Cite \textit{P. Kumar} et al., SIAM J. Sci. Comput. 41, No. 3, A1385--A1413 (2019; Zbl 1435.65053) Full Text: DOI arXiv OpenURL
Gong, Shihua; Wu, Shuonan; Xu, Jinchao New hybridized mixed methods for linear elasticity and optimal multilevel solvers. (English) Zbl 1412.65211 Numer. Math. 141, No. 2, 569-604 (2019). Reviewer: Jichun Li (Las Vegas) MSC: 65N30 65N55 74B10 PDF BibTeX XML Cite \textit{S. Gong} et al., Numer. Math. 141, No. 2, 569--604 (2019; Zbl 1412.65211) Full Text: DOI arXiv OpenURL
Neumüller, Martin; Thalhammer, Andreas Combining space-time multigrid techniques with multilevel Monte Carlo methods for SDEs. (English) Zbl 1450.65112 Bjørstad, Petter E. (ed.) et al., Domain decomposition methods in science and engineering XXIV. Proceedings of the 24th international conference, Svalbard, Norway, February 6–10, 2017. Cham: Springer. Lect. Notes Comput. Sci. Eng. 125, 493-501 (2018). MSC: 65M55 35R60 65C05 65M06 65N30 65Y05 PDF BibTeX XML Cite \textit{M. Neumüller} and \textit{A. Thalhammer}, Lect. Notes Comput. Sci. Eng. 125, 493--501 (2018; Zbl 1450.65112) Full Text: DOI OpenURL
Franzone, P. Colli; Pavarino, L. F.; Scacchi, S.; Zampini, Stefano Scalable cardiac electro-mechanical solvers and reentry dynamics. (English) Zbl 1442.65368 Bjørstad, Petter E. (ed.) et al., Domain decomposition methods in science and engineering XXIV. Proceedings of the 24th international conference, Svalbard, Norway, February 6–10, 2017. Cham: Springer. Lect. Notes Comput. Sci. Eng. 125, 31-43 (2018). MSC: 65N30 65M22 65N55 65K10 65F10 65F08 65Y05 92C10 92C37 90-08 35Q92 74F15 74B20 74L15 74S05 35Q74 PDF BibTeX XML Cite \textit{P. C. Franzone} et al., Lect. Notes Comput. Sci. Eng. 125, 31--43 (2018; Zbl 1442.65368) Full Text: DOI OpenURL
Tahiri, Ahmed The best strategy for local mesh refinement with the PCD method. (English) Zbl 1442.65240 Int. J. Dyn. Syst. Differ. Equ. 8, No. 1-2, 19-32 (2018). MSC: 65M50 65M55 65M70 PDF BibTeX XML Cite \textit{A. Tahiri}, Int. J. Dyn. Syst. Differ. Equ. 8, No. 1--2, 19--32 (2018; Zbl 1442.65240) Full Text: DOI OpenURL
Antoine, X.; Lorin, E. Multilevel preconditioning technique for Schwarz waveform relaxation domain decomposition method for real- and imaginary-time nonlinear Schrödinger equation. (English) Zbl 1427.65233 Appl. Math. Comput. 336, 403-417 (2018). MSC: 65M55 35Q55 PDF BibTeX XML Cite \textit{X. Antoine} and \textit{E. Lorin}, Appl. Math. Comput. 336, 403--417 (2018; Zbl 1427.65233) Full Text: DOI HAL OpenURL
HosseiniMehr, Mousa; Cusini, Matteo; Vuik, Cornelis; Hajibeygi, Hadi Algebraic dynamic multilevel method for embedded discrete fracture model (F-ADM). (English) Zbl 1416.76151 J. Comput. Phys. 373, 324-345 (2018). MSC: 76M12 76S05 65M50 65M55 PDF BibTeX XML Cite \textit{M. HosseiniMehr} et al., J. Comput. Phys. 373, 324--345 (2018; Zbl 1416.76151) Full Text: DOI Link OpenURL
Kumar, Prashant; Luo, Peiyao; Gaspar, Francisco J.; Oosterlee, Cornelis W. A multigrid multilevel Monte Carlo method for transport in the Darcy-Stokes system. (English) Zbl 1415.76603 J. Comput. Phys. 371, 382-408 (2018). MSC: 76S05 76D07 65C05 76M12 65N55 PDF BibTeX XML Cite \textit{P. Kumar} et al., J. Comput. Phys. 371, 382--408 (2018; Zbl 1415.76603) Full Text: DOI Link OpenURL
Magri, Victor A. P.; Franceschini, Andrea; Ferronato, Massimiliano; Janna, Carlo Multilevel approaches for FSAI preconditioning. (English) Zbl 06987006 Numer. Linear Algebra Appl. 25, No. 5, e2183, 18 p. (2018). MSC: 65F08 PDF BibTeX XML Cite \textit{V. A. P. Magri} et al., Numer. Linear Algebra Appl. 25, No. 5, e2183, 18 p. (2018; Zbl 06987006) Full Text: DOI OpenURL
Lu, Peipei; Xu, Xuejun Multilevel methods for the wave problems with high wave number. (Chinese. English summary) Zbl 1413.65427 Math. Numer. Sin. 40, No. 2, 119-134 (2018). MSC: 65N30 65N12 65N15 65N55 35J05 PDF BibTeX XML Cite \textit{P. Lu} and \textit{X. Xu}, Math. Numer. Sin. 40, No. 2, 119--134 (2018; Zbl 1413.65427) OpenURL
Li, Shishun; Shao, Xinping; Cai, Xiao-Chuan Multilevel space-time additive Schwarz methods for parabolic equations. (English) Zbl 1405.65113 SIAM J. Sci. Comput. 40, No. 5, A3012-A3037 (2018). Reviewer: Wilhelm Heinrichs (Essen) MSC: 65M55 65M60 65Y05 65M12 PDF BibTeX XML Cite \textit{S. Li} et al., SIAM J. Sci. Comput. 40, No. 5, A3012--A3037 (2018; Zbl 1405.65113) Full Text: DOI OpenURL
Dillon, Geoffrey; Kalantzis, Vassilis; Xi, Yuanzhe; Saad, Yousef A hierarchical low rank Schur complement preconditioner for indefinite linear systems. (English) Zbl 1392.65027 SIAM J. Sci. Comput. 40, No. 4, A2234-A2252 (2018). MSC: 65F08 65F10 65F50 65N55 65Y05 PDF BibTeX XML Cite \textit{G. Dillon} et al., SIAM J. Sci. Comput. 40, No. 4, A2234--A2252 (2018; Zbl 1392.65027) Full Text: DOI OpenURL
Xu, Wenfang; Zikatanov, Ludmil T. Adaptive aggregation on graphs. (English) Zbl 1432.65178 J. Comput. Appl. Math. 340, 718-730 (2018). MSC: 65N55 65N30 35R02 PDF BibTeX XML Cite \textit{W. Xu} and \textit{L. T. Zikatanov}, J. Comput. Appl. Math. 340, 718--730 (2018; Zbl 1432.65178) Full Text: DOI arXiv OpenURL
la Cour Christensen, Max; Vassilevski, Panayot S.; Villa, Umberto Nonlinear multigrid solvers exploiting AMGe coarse spaces with approximation properties. (English) Zbl 1432.76160 J. Comput. Appl. Math. 340, 691-708 (2018). MSC: 76M10 65N30 65N22 65N55 76S05 PDF BibTeX XML Cite \textit{M. la Cour Christensen} et al., J. Comput. Appl. Math. 340, 691--708 (2018; Zbl 1432.76160) Full Text: DOI Link OpenURL
Usta, Fuat; Levesley, Jeremy Multilevel quasi-interpolation on a sparse grid with the Gaussian. (English) Zbl 1392.65073 Numer. Algorithms 77, No. 3, 793-808 (2018). MSC: 65F10 65N55 65N22 65D32 PDF BibTeX XML Cite \textit{F. Usta} and \textit{J. Levesley}, Numer. Algorithms 77, No. 3, 793--808 (2018; Zbl 1392.65073) Full Text: DOI arXiv OpenURL
Cai, Mingchao; Huang, Peiqi; Mu, Mo Some multilevel decoupled algorithms for a mixed Navier-Stokes/Darcy model. (English) Zbl 1404.65254 Adv. Comput. Math. 44, No. 1, 115-145 (2018). MSC: 65N30 65F08 65F10 65N55 76D05 76S05 35Q35 PDF BibTeX XML Cite \textit{M. Cai} et al., Adv. Comput. Math. 44, No. 1, 115--145 (2018; Zbl 1404.65254) Full Text: DOI arXiv OpenURL
Oh, Duk-Soon; Widlund, Olof B.; Zampini, Stefano; Dohrmann, Clark R. BDDC algorithms with deluxe scaling and adaptive selection of primal constraints for Raviart-Thomas vector fields. (English) Zbl 1380.65065 Math. Comput. 87, No. 310, 659-692 (2018). MSC: 65F08 65N30 65N55 37C10 PDF BibTeX XML Cite \textit{D.-S. Oh} et al., Math. Comput. 87, No. 310, 659--692 (2018; Zbl 1380.65065) Full Text: DOI OpenURL
Jumaat, Abdul K.; Chen, Ke An optimization-based multilevel algorithm for variational image segmentation models. (English) Zbl 1384.62207 ETNA, Electron. Trans. Numer. Anal. 46, 474-504 (2017). MSC: 62H35 65N22 65N55 94A08 PDF BibTeX XML Cite \textit{A. K. Jumaat} and \textit{K. Chen}, ETNA, Electron. Trans. Numer. Anal. 46, 474--504 (2017; Zbl 1384.62207) Full Text: Link OpenURL
Fairbanks, Hillary R.; Doostan, Alireza; Ketelsen, Christian; Iaccarino, Gianluca A low-rank control variate for multilevel Monte Carlo simulation of high-dimensional uncertain systems. (English) Zbl 1378.65021 J. Comput. Phys. 341, 121-139 (2017). MSC: 65C05 65C30 35R60 PDF BibTeX XML Cite \textit{H. R. Fairbanks} et al., J. Comput. Phys. 341, 121--139 (2017; Zbl 1378.65021) Full Text: DOI arXiv OpenURL
Tang, Shibing; Xu, Xuejun Local multilevel methods with rectangular finite elements for the biharmonic problem. (English) Zbl 1377.65152 SIAM J. Sci. Comput. 39, No. 6, A2592-A2615 (2017). MSC: 65N30 65N50 35J40 65N55 65N12 PDF BibTeX XML Cite \textit{S. Tang} and \textit{X. Xu}, SIAM J. Sci. Comput. 39, No. 6, A2592--A2615 (2017; Zbl 1377.65152) Full Text: DOI OpenURL
Zhang, Jin; Chen, Ke; Chen, Fang; Yu, Bo An efficient numerical method for mean curvature-based image registration model. (English) Zbl 1392.65081 East Asian J. Appl. Math. 7, No. 1, 125-142 (2017). MSC: 65F10 65M55 68U10 PDF BibTeX XML Cite \textit{J. Zhang} et al., East Asian J. Appl. Math. 7, No. 1, 125--142 (2017; Zbl 1392.65081) Full Text: DOI OpenURL
Han, Xiaole; Xie, Hehu; Xu, Fei A cascadic multigrid method for eigenvalue problem. (English) Zbl 1399.65351 J. Comput. Math. 35, No. 1, 74-90 (2017). MSC: 65N55 65N25 65N30 65N12 PDF BibTeX XML Cite \textit{X. Han} et al., J. Comput. Math. 35, No. 1, 74--90 (2017; Zbl 1399.65351) Full Text: DOI arXiv OpenURL
Hu, Qiya; Li, Xuan Novel multilevel preconditioners for the systems arising from plane wave discretization of Helmholtz equations with large wave numbers. (English) Zbl 1372.65324 SIAM J. Sci. Comput. 39, No. 4, A1675-A1709 (2017). MSC: 65N55 65F08 65N30 PDF BibTeX XML Cite \textit{Q. Hu} and \textit{X. Li}, SIAM J. Sci. Comput. 39, No. 4, A1675--A1709 (2017; Zbl 1372.65324) Full Text: DOI arXiv OpenURL
Feischl, Michael; Führer, Thomas; Praetorius, Dirk; Stephan, Ernst P. Optimal additive Schwarz preconditioning for hypersingular integral equations on locally refined triangulations. (English) Zbl 1372.65317 Calcolo 54, No. 1, 367-399 (2017). Reviewer: Andreas Kleefeld (Jülich) MSC: 65N38 65F08 35J05 65N55 PDF BibTeX XML Cite \textit{M. Feischl} et al., Calcolo 54, No. 1, 367--399 (2017; Zbl 1372.65317) Full Text: DOI arXiv OpenURL
Xu, Fei; Xie, Hehu A full multigrid method for semilinear elliptic equation. (English) Zbl 1424.65230 Appl. Math., Praha 62, No. 3, 225-241 (2017). MSC: 65N30 35J61 65N25 65N55 PDF BibTeX XML Cite \textit{F. Xu} and \textit{H. Xie}, Appl. Math., Praha 62, No. 3, 225--241 (2017; Zbl 1424.65230) Full Text: DOI arXiv OpenURL
Erlangga, Yogi A.; García Ramos, Luis; Nabben, Reinhard The multilevel Krylov-multigrid method for the Helmholtz equation preconditioned by the shifted Laplacian. (English) Zbl 1366.65112 Lahaye, Domenico (ed.) et al., Modern solvers for Helmholtz problems. Basel: Birkhäuser/Springer (ISBN 978-3-319-28831-4/hbk; 978-3-319-28832-1/ebook). Geosystems Mathematics, 113-139 (2017). MSC: 65N55 65N06 65N12 65F08 35J05 PDF BibTeX XML Cite \textit{Y. A. Erlangga} et al., in: Modern solvers for Helmholtz problems. Basel: Birkhäuser/Springer. 113--139 (2017; Zbl 1366.65112) Full Text: DOI OpenURL
la Cour Christensen, Max; Villa, Umberto; Engsig-Karup, Allan P.; Vassilevski, Panayot S. Numerical multilevel upscaling for incompressible flow in reservoir simulation: an element-based algebraic multigrid (amge) approach. (English) Zbl 1360.65247 SIAM J. Sci. Comput. 39, No. 1, B102-B137 (2017). MSC: 65M60 65M55 76S05 PDF BibTeX XML Cite \textit{M. la Cour Christensen} et al., SIAM J. Sci. Comput. 39, No. 1, B102--B137 (2017; Zbl 1360.65247) Full Text: DOI Link OpenURL
Pultarová, Ivana Hierarchical preconditioning for the stochastic Galerkin method: upper bounds to the strengthened CBS constants. (English) Zbl 1443.65366 Comput. Math. Appl. 71, No. 4, 949-964 (2016). MSC: 65N30 65N22 65N55 65N75 60H35 PDF BibTeX XML Cite \textit{I. Pultarová}, Comput. Math. Appl. 71, No. 4, 949--964 (2016; Zbl 1443.65366) Full Text: DOI OpenURL
Krause, Rolf; Rigazzi, Alessandro; Steiner, Johannes A parallel multigrid method for constrained minimization problems and its application to friction, contact, and obstacle problems. (English) Zbl 1360.65175 Comput. Vis. Sci. 18, No. 1, 1-15 (2016). MSC: 65K10 65Y05 15A09 15A15 15A23 65N55 74S30 74P10 74M10 74M15 PDF BibTeX XML Cite \textit{R. Krause} et al., Comput. Vis. Sci. 18, No. 1, 1--15 (2016; Zbl 1360.65175) Full Text: DOI OpenURL
Chen, Hongtao; Xie, Hehu; Xu, Fei A full multigrid method for eigenvalue problems. (English) Zbl 1352.65459 J. Comput. Phys. 322, 747-759 (2016). MSC: 65N25 65N30 65N55 PDF BibTeX XML Cite \textit{H. Chen} et al., J. Comput. Phys. 322, 747--759 (2016; Zbl 1352.65459) Full Text: DOI OpenURL
Brown, Kirsty L.; Gejadze, Igor; Ramage, Alison A multilevel approach for computing the limited-memory Hessian and its inverse in variational data assimilation. (English) Zbl 1348.65074 SIAM J. Sci. Comput. 38, No. 5, A2934-A2963 (2016). MSC: 65F30 65F08 15A09 65F15 PDF BibTeX XML Cite \textit{K. L. Brown} et al., SIAM J. Sci. Comput. 38, No. 5, A2934--A2963 (2016; Zbl 1348.65074) Full Text: DOI OpenURL
Kehl, René; Nabben, Reinhard Avoiding singular coarse grid systems. (English) Zbl 1347.65065 Linear Algebra Appl. 507, 137-152 (2016). MSC: 65F10 65F20 65F08 65N55 PDF BibTeX XML Cite \textit{R. Kehl} and \textit{R. Nabben}, Linear Algebra Appl. 507, 137--152 (2016; Zbl 1347.65065) Full Text: DOI OpenURL
Han, Xiaole; Li, Yu; Xie, Hehu; You, Chunguang Local and parallel finite element algorithm based on multilevel discretization for eigenvalue problems. (English) Zbl 1347.65171 Int. J. Numer. Anal. Model. 13, No. 1, 73-89 (2016). Reviewer: Răzvan Răducanu (Iaşi) MSC: 65N25 65N30 35P15 65N55 65Y05 PDF BibTeX XML Cite \textit{X. Han} et al., Int. J. Numer. Anal. Model. 13, No. 1, 73--89 (2016; Zbl 1347.65171) Full Text: arXiv Link OpenURL
Napov, Artem; Notay, Yvan An efficient multigrid method for graph Laplacian systems. (English) Zbl 1347.65059 ETNA, Electron. Trans. Numer. Anal. 45, 201-218 (2016). MSC: 65F08 65F10 65N55 65F50 05C50 PDF BibTeX XML Cite \textit{A. Napov} and \textit{Y. Notay}, ETNA, Electron. Trans. Numer. Anal. 45, 201--218 (2016; Zbl 1347.65059) Full Text: EMIS OpenURL
Chen, Long; Nochetto, Ricardo H.; Otárola, Enrique; Salgado, Abner J. Multilevel methods for nonuniformly elliptic operators and fractional diffusion. (English) Zbl 1344.65117 Math. Comput. 85, No. 302, 2583-2607 (2016). MSC: 65N55 65N12 65N30 35J25 PDF BibTeX XML Cite \textit{L. Chen} et al., Math. Comput. 85, No. 302, 2583--2607 (2016; Zbl 1344.65117) Full Text: DOI arXiv OpenURL
Deng, Xiaomao; Cai, Xiao-Chuan; Zou, Jun Two-level space-time domain decomposition methods for three-dimensional unsteady inverse source problems. (English) Zbl 1342.49044 J. Sci. Comput. 67, No. 3, 860-882 (2016). MSC: 49M27 49N45 49M25 49K20 65M32 65M55 65M06 65M60 65F22 65F08 65F10 65Y05 90C06 PDF BibTeX XML Cite \textit{X. Deng} et al., J. Sci. Comput. 67, No. 3, 860--882 (2016; Zbl 1342.49044) Full Text: DOI arXiv OpenURL
Kolev, Tzanio V.; Xu, Jinchao; Zhu, Yunrong Multilevel preconditioners for reaction-diffusion problems with discontinuous coefficients. (English) Zbl 1353.65131 J. Sci. Comput. 67, No. 1, 324-350 (2016). Reviewer: Iwan Gawriljuk (Eisenach) MSC: 65N55 65F08 65N30 35J25 35R05 65N12 PDF BibTeX XML Cite \textit{T. V. Kolev} et al., J. Sci. Comput. 67, No. 1, 324--350 (2016; Zbl 1353.65131) Full Text: DOI arXiv OpenURL
Bartels, Sören Numerical approximation of partial differential equations. (English) Zbl 1353.65089 Texts in Applied Mathematics 64. Cham: Springer (ISBN 978-3-319-32353-4/hbk; 978-3-319-32354-1/ebook). xv, 535 p. (2016). Reviewer: Rolf Dieter Grigorieff (Berlin) MSC: 65Mxx 65Nxx 65M06 65M60 65N06 65N22 65N30 65N50 65N55 65-02 65N08 65M08 35J25 35K05 65F08 74S05 74B05 74K20 78A25 78M10 76D05 76M10 35L05 PDF BibTeX XML Cite \textit{S. Bartels}, Numerical approximation of partial differential equations. Cham: Springer (2016; Zbl 1353.65089) Full Text: DOI OpenURL
Xi, Yuanzhe; Li, Ruipeng; Saad, Yousef An algebraic multilevel preconditioner with low-rank corrections for sparse symmetric matrices. (English) Zbl 1376.65036 SIAM J. Matrix Anal. Appl. 37, No. 1, 235-259 (2016). MSC: 65F08 65Y05 65Y20 65N22 65N55 PDF BibTeX XML Cite \textit{Y. Xi} et al., SIAM J. Matrix Anal. Appl. 37, No. 1, 235--259 (2016; Zbl 1376.65036) Full Text: DOI OpenURL
Lu, Peipei; Xu, Xuejun A robust multilevel method for the time-harmonic Maxwell equation with high wave number. (English) Zbl 1380.65405 SIAM J. Sci. Comput. 38, No. 2, A856-A874 (2016). MSC: 65N55 65F08 65F10 65N22 65N30 65N50 65Y05 78M10 78M25 PDF BibTeX XML Cite \textit{P. Lu} and \textit{X. Xu}, SIAM J. Sci. Comput. 38, No. 2, A856--A874 (2016; Zbl 1380.65405) Full Text: DOI OpenURL
Xie, Hehu A multigrid method for nonlinear eigenvalue problems. (Chinese. English summary) Zbl 07449384 Sci. Sin., Math. 45, No. 8, 1193-1204 (2015). MSC: 65N25 65N55 65N30 PDF BibTeX XML Cite \textit{H. Xie}, Sci. Sin., Math. 45, No. 8, 1193--1204 (2015; Zbl 07449384) Full Text: DOI arXiv OpenURL
Yang, Haijian; Yang, Chao; Cai, Xiao-Chuan Mixed order discretization based two-level Schwarz preconditioners for a tracer transport problem on the cubed-sphere. (English) Zbl 1390.86038 Comput. Fluids 110, 88-95 (2015). MSC: 86A10 76M12 65M08 86-08 PDF BibTeX XML Cite \textit{H. Yang} et al., Comput. Fluids 110, 88--95 (2015; Zbl 1390.86038) Full Text: DOI OpenURL
Nejadmalayeri, Alireza; Vezolainen, Alexei; Brown-Dymkoski, Eric; Vasilyev, Oleg V. Parallel adaptive wavelet collocation method for PDEs. (English) Zbl 1349.65652 J. Comput. Phys. 298, 237-253 (2015). MSC: 65N35 65T60 65Y05 PDF BibTeX XML Cite \textit{A. Nejadmalayeri} et al., J. Comput. Phys. 298, 237--253 (2015; Zbl 1349.65652) Full Text: DOI OpenURL
Han, Xiaole; Li, Yu; Xie, Hehu A multilevel correction method for Steklov eigenvalue problem by nonconforming finite element methods. (English) Zbl 1349.65603 Numer. Math., Theory Methods Appl. 8, No. 3, 383-405 (2015). MSC: 65N25 65N30 65N55 35P15 PDF BibTeX XML Cite \textit{X. Han} et al., Numer. Math., Theory Methods Appl. 8, No. 3, 383--405 (2015; Zbl 1349.65603) Full Text: DOI Link OpenURL
Li, Shishun; Shao, Xinping; Si, Zhiyong Local multilevel method on adaptively refined meshes for elliptic problems with smooth complex coefficients. (English) Zbl 1349.65624 Numer. Math., Theory Methods Appl. 8, No. 3, 336-355 (2015). MSC: 65N30 65N55 35J25 65N12 PDF BibTeX XML Cite \textit{S. Li} et al., Numer. Math., Theory Methods Appl. 8, No. 3, 336--355 (2015; Zbl 1349.65624) Full Text: DOI OpenURL
Meirav, Galun; Ronen, Basri; Irad, Yavneh Review of methods inspired by algebraic-multigrid for data and image analysis applications. (English) Zbl 1349.65083 Numer. Math., Theory Methods Appl. 8, No. 2, 283-312 (2015). MSC: 65D18 65N55 94A08 62-07 65C60 PDF BibTeX XML Cite \textit{G. Meirav} et al., Numer. Math., Theory Methods Appl. 8, No. 2, 283--312 (2015; Zbl 1349.65083) Full Text: DOI Link OpenURL
Kraus, J.; Lymbery, M.; Margenov, S. Auxiliary space multigrid method based on additive Schur complement approximation. (English) Zbl 1374.65202 Numer. Linear Algebra Appl. 22, No. 6, 965-986 (2015). MSC: 65N55 65F10 65F08 65N30 35J25 PDF BibTeX XML Cite \textit{J. Kraus} et al., Numer. Linear Algebra Appl. 22, No. 6, 965--986 (2015; Zbl 1374.65202) Full Text: DOI Link OpenURL
Kužel, Roman; Vaněk, Petr Exact interpolation scheme with approximation vector used as a column of the prolongator. (English) Zbl 1374.65203 Numer. Linear Algebra Appl. 22, No. 6, 950-964 (2015). Reviewer: Ivana Pultarová (Praha) MSC: 65N55 65F08 65N12 65D05 65N25 35P15 35J60 PDF BibTeX XML Cite \textit{R. Kužel} and \textit{P. Vaněk}, Numer. Linear Algebra Appl. 22, No. 6, 950--964 (2015; Zbl 1374.65203) Full Text: DOI OpenURL
Friedhoff, S.; MacLachlan, S. A generalized predictive analysis tool for multigrid methods. (English) Zbl 1349.65427 Numer. Linear Algebra Appl. 22, No. 4, 618-647 (2015). MSC: 65M55 65F10 35K20 65M12 PDF BibTeX XML Cite \textit{S. Friedhoff} and \textit{S. MacLachlan}, Numer. Linear Algebra Appl. 22, No. 4, 618--647 (2015; Zbl 1349.65427) Full Text: DOI OpenURL
Badea, Lori Convergence rate of some hybrid multigrid methods for variational inequalities. (English) Zbl 1325.65168 J. Numer. Math. 23, No. 3, 195-210 (2015). MSC: 65N55 65N30 65J15 PDF BibTeX XML Cite \textit{L. Badea}, J. Numer. Math. 23, No. 3, 195--210 (2015; Zbl 1325.65168) Full Text: DOI OpenURL
Andreev, Roman; Tobler, Christine Multilevel preconditioning and low-rank tensor iteration for space-time simultaneous discretizations of parabolic PDEs. (English) Zbl 1363.65156 Numer. Linear Algebra Appl. 22, No. 2, 317-337 (2015). MSC: 65M60 65F08 65F10 35K05 65M55 49J20 65K10 PDF BibTeX XML Cite \textit{R. Andreev} and \textit{C. Tobler}, Numer. Linear Algebra Appl. 22, No. 2, 317--337 (2015; Zbl 1363.65156) Full Text: DOI OpenURL
Ferreiro-Castilla, Albert; van Schaik, Kees Applying the Wiener-Hopf Monte Carlo simulation technique for Lévy processes to path functionals. (English) Zbl 1319.65006 J. Appl. Probab. 52, No. 1, 129-148 (2015). Reviewer: Abass Sagna (Evry) MSC: 65C05 60G51 65C50 91G60 91B24 91B30 PDF BibTeX XML Cite \textit{A. Ferreiro-Castilla} and \textit{K. van Schaik}, J. Appl. Probab. 52, No. 1, 129--148 (2015; Zbl 1319.65006) Full Text: DOI Euclid OpenURL
Gaonkar, A. K.; Kulkarni, S. S. Application of multilevel scheme and two level discretization for POD based model order reduction of nonlinear transient heat transfer problems. (English) Zbl 1311.80017 Comput. Mech. 55, No. 1, 179-191 (2015). MSC: 80M10 65M60 80A20 PDF BibTeX XML Cite \textit{A. K. Gaonkar} and \textit{S. S. Kulkarni}, Comput. Mech. 55, No. 1, 179--191 (2015; Zbl 1311.80017) Full Text: DOI OpenURL
Dufaud, Thomas A two-level preconditioning framework based on a Richardson iterative process. (English) Zbl 1382.65077 Erhel, Jocelyne (ed.) et al., Domain decomposition methods in science and engineering XXI. Proceedings of the 21st international conference, Inria Rennes Center, France, June 25–29, 2012. Cham: Springer (ISBN 978-3-319-05788-0/hbk; 978-3-319-35548-1/pbk; 978-3-319-05789-7/ebook). Lecture Notes in Computational Science and Engineering 98, 617-624 (2014). MSC: 65F08 65F10 PDF BibTeX XML Cite \textit{T. Dufaud}, Lect. Notes Comput. Sci. Eng. 98, 617--624 (2014; Zbl 1382.65077) Full Text: DOI OpenURL
Brannick, James Aggregation-based aggressive coarsening with polynomial smoothing. (English) Zbl 1382.65434 Erhel, Jocelyne (ed.) et al., Domain decomposition methods in science and engineering XXI. Proceedings of the 21st international conference, Inria Rennes Center, France, June 25–29, 2012. Cham: Springer (ISBN 978-3-319-05788-0/hbk; 978-3-319-35548-1/pbk; 978-3-319-05789-7/ebook). Lecture Notes in Computational Science and Engineering 98, 285-293 (2014). MSC: 65N55 35J05 65F10 65F08 PDF BibTeX XML Cite \textit{J. Brannick}, Lect. Notes Comput. Sci. Eng. 98, 285--293 (2014; Zbl 1382.65434) Full Text: DOI arXiv OpenURL
Franzone, Piero Colli; Pavarino, Luca F.; Scacchi, Simone Parallel coupled and uncoupled multilevel solvers for the bidomain model of electrocardiology. (English) Zbl 1429.92004 Erhel, Jocelyne (ed.) et al., Domain decomposition methods in science and engineering XXI. Proceedings of the 21st international conference, Inria Rennes Center, France, June 25–29, 2012. Cham: Springer. Lect. Notes Comput. Sci. Eng. 98, 257-264 (2014). MSC: 92-08 65M60 65M55 92C55 PDF BibTeX XML Cite \textit{P. C. Franzone} et al., Lect. Notes Comput. Sci. Eng. 98, 257--264 (2014; Zbl 1429.92004) Full Text: DOI OpenURL