Bezrodnykh, S. I. Formulas for computing Euler-type integrals and their application to the problem of constructing a conformal mapping of polygons. (English. Russian original) Zbl 07786492 Comput. Math. Math. Phys. 63, No. 11, 1955-1988 (2023); translation from Zh. Vychisl. Mat. Mat. 63, No. 11, 1763-1798 (2023). MSC: 33C65 33C60 33F10 30C20 PDFBibTeX XMLCite \textit{S. I. Bezrodnykh}, Comput. Math. Math. Phys. 63, No. 11, 1955--1988 (2023; Zbl 07786492); translation from Zh. Vychisl. Mat. Mat. 63, No. 11, 1763--1798 (2023) Full Text: DOI
Zhang, Mei; Yang, Haijian; Yang, Chao; Sun, Shuyu Multilevel constrained pressure-temperature residual preconditioners for large-scale non-isothermal reservoir simulation via restricted additive Schwarz algorithms. (English) Zbl 07783562 Commun. Comput. Phys. 34, No. 3, 837-868 (2023). MSC: 65F08 49M15 65M55 68W10 76S05 90B05 PDFBibTeX XMLCite \textit{M. Zhang} et al., Commun. Comput. Phys. 34, No. 3, 837--868 (2023; Zbl 07783562) Full Text: DOI
Cheng, Tianpei; Yang, Haijian; Huang, Jizu; Yang, Chao Nonlinear parallel-in-time simulations of multiphase flow in porous media. (English) Zbl 07766229 J. Comput. Phys. 494, Article ID 112515, 18 p. (2023). MSC: 65Mxx 65Yxx 65Fxx PDFBibTeX XMLCite \textit{T. Cheng} et al., J. Comput. Phys. 494, Article ID 112515, 18 p. (2023; Zbl 07766229) Full Text: DOI
Miyoshi, Hiroyuki; Crowdy, Darren G. Generalized Schwarz integral formulas for multiply connected domains. (English) Zbl 07692227 SIAM J. Appl. Math. 83, No. 3, 966-984 (2023). MSC: 68Q25 68R10 68U05 PDFBibTeX XMLCite \textit{H. Miyoshi} and \textit{D. G. Crowdy}, SIAM J. Appl. Math. 83, No. 3, 966--984 (2023; Zbl 07692227) Full Text: DOI
Bornia, Giorgio; Chierici, Andrea; Chirco, Leonardo; Giovacchini, Valentina; Manservisi, Sandro A multigrid local smoother approach for a domain decomposition solver over non-matching grids. (English) Zbl 07779679 Numer. Methods Partial Differ. Equations 38, No. 6, 1794-1822 (2022). MSC: 65N55 65N50 65N30 65N12 65Y05 65Y10 PDFBibTeX XMLCite \textit{G. Bornia} et al., Numer. Methods Partial Differ. Equations 38, No. 6, 1794--1822 (2022; Zbl 07779679) Full Text: DOI
Heinlein, Alexander; Klawonn, Axel; Knepper, Jascha; Rheinbach, Oliver; Widlund, Olof B. Adaptive GDSW coarse spaces of reduced dimension for overlapping Schwarz methods. (English) Zbl 1492.65344 SIAM J. Sci. Comput. 44, No. 3, A1176-A1204 (2022). MSC: 65N55 65F08 65F10 68W10 PDFBibTeX XMLCite \textit{A. Heinlein} et al., SIAM J. Sci. Comput. 44, No. 3, A1176--A1204 (2022; Zbl 1492.65344) Full Text: DOI
Bootland, Niall; Dolean, Victorita; Kyriakis, Alexander; Pestana, Jennifer Analysis of parallel Schwarz algorithms for time-harmonic problems using block Toeplitz matrices. (English) Zbl 1478.65139 ETNA, Electron. Trans. Numer. Anal. 55, 112-141 (2022). MSC: 65N55 65N35 65F10 15A18 15B05 PDFBibTeX XMLCite \textit{N. Bootland} et al., ETNA, Electron. Trans. Numer. Anal. 55, 112--141 (2022; Zbl 1478.65139) Full Text: DOI arXiv Link
Chaudhry, Jehanzeb H.; Estep, Donald; Tavener, Simon J. A posteriori error analysis for Schwarz overlapping domain decomposition methods. (English) Zbl 1492.65342 BIT 61, No. 4, 1153-1191 (2021). MSC: 65N55 65N06 65N50 65N15 65Y05 68W10 PDFBibTeX XMLCite \textit{J. H. Chaudhry} et al., BIT 61, No. 4, 1153--1191 (2021; Zbl 1492.65342) Full Text: DOI arXiv
Schneck, Jakob; Weiser, Martin; Wende, Florian Impact of mixed precision and storage layout on additive Schwarz smoothers. (English) Zbl 07396249 Numer. Linear Algebra Appl. 28, No. 4, e2366, 22 p. (2021). MSC: 65N55 65Y10 65Y20 PDFBibTeX XMLCite \textit{J. Schneck} et al., Numer. Linear Algebra Appl. 28, No. 4, e2366, 22 p. (2021; Zbl 07396249) Full Text: DOI
Delourme, Bérangère; Halpern, Laurence A complex homographic best approximation problem. Application to optimized Robin-Schwarz algorithms, and optimal control problems. (English) Zbl 1469.30080 SIAM J. Numer. Anal. 59, No. 3, 1769-1810 (2021). MSC: 30E10 41A10 PDFBibTeX XMLCite \textit{B. Delourme} and \textit{L. Halpern}, SIAM J. Numer. Anal. 59, No. 3, 1769--1810 (2021; Zbl 1469.30080) Full Text: DOI
Chen, Jingmin; Yu, Thomas; Brogan, Patrick; Kusner, Robert; Yang, Yilin; Zigerelli, Andrew Numerical methods for biomembranes: conforming subdivision methods versus non-conforming PL methods. (English) Zbl 1455.49023 Math. Comput. 90, No. 328, 471-516 (2021). MSC: 49M41 65D99 65K10 65Z05 30C30 90C30 41A15 PDFBibTeX XMLCite \textit{J. Chen} et al., Math. Comput. 90, No. 328, 471--516 (2021; Zbl 1455.49023) Full Text: DOI arXiv
Xing, F. New optimized Schwarz algorithms for one dimensional Schrödinger equation with general potential. (English) Zbl 1456.65177 J. Comput. Appl. Math. 383, Article ID 113018, 12 p. (2021). MSC: 65N55 65M55 65M06 65F05 65F08 65F10 65Y05 35Q55 PDFBibTeX XMLCite \textit{F. Xing}, J. Comput. Appl. Math. 383, Article ID 113018, 12 p. (2021; Zbl 1456.65177) Full Text: DOI arXiv
Glusa, Christian; Boman, Erik G.; Chow, Edmond; Rajamanickam, Sivasankaran; Szyld, Daniel B. Scalable asynchronous domain decomposition solvers. (English) Zbl 1461.65257 SIAM J. Sci. Comput. 42, No. 6, C384-C409 (2020). MSC: 65N55 65Y05 68W10 68W15 PDFBibTeX XMLCite \textit{C. Glusa} et al., SIAM J. Sci. Comput. 42, No. 6, C384--C409 (2020; Zbl 1461.65257) Full Text: DOI
Brunet, R.; Dolean, V.; Gander, M. J. Natural domain decomposition algorithms for the solution of time-harmonic elastic waves. (English) Zbl 1452.65385 SIAM J. Sci. Comput. 42, No. 5, A3313-A3339 (2020). MSC: 65N55 65F08 65F10 65N12 65Y20 65Z05 PDFBibTeX XMLCite \textit{R. Brunet} et al., SIAM J. Sci. Comput. 42, No. 5, A3313--A3339 (2020; Zbl 1452.65385) Full Text: DOI arXiv
Nakatsukasa, Yuji; Trefethen, Lloyd N. An algorithm for real and complex rational minimax approximation. (English) Zbl 1452.65035 SIAM J. Sci. Comput. 42, No. 5, A3157-A3179 (2020). MSC: 65D15 41A20 PDFBibTeX XMLCite \textit{Y. Nakatsukasa} and \textit{L. N. Trefethen}, SIAM J. Sci. Comput. 42, No. 5, A3157--A3179 (2020; Zbl 1452.65035) Full Text: DOI arXiv
Calvo, Juan G. A new coarse space for overlapping Schwarz algorithms for H(curl) problems in three dimensions with irregular subdomains. (English) Zbl 1434.78025 Numer. Algorithms 83, No. 3, 885-899 (2020). MSC: 78M10 35Q60 65F10 65N30 65N55 78A25 35R05 35R60 65F08 65F35 PDFBibTeX XMLCite \textit{J. G. Calvo}, Numer. Algorithms 83, No. 3, 885--899 (2020; Zbl 1434.78025) Full Text: DOI
Griebel, Michael; Oswald, Peter Stochastic subspace correction methods and fault tolerance. (English) Zbl 1436.65013 Math. Comput. 89, No. 321, 279-312 (2020). MSC: 65C30 65N22 65N55 65Y05 68W20 PDFBibTeX XMLCite \textit{M. Griebel} and \textit{P. Oswald}, Math. Comput. 89, No. 321, 279--312 (2020; Zbl 1436.65013) Full Text: DOI arXiv
Calvo, Juan G. An overlapping Schwarz method for virtual element discretizations in two dimensions. (English) Zbl 1442.65425 Comput. Math. Appl. 77, No. 4, 1163-1177 (2019). MSC: 65N55 35J25 74S05 PDFBibTeX XMLCite \textit{J. G. Calvo}, Comput. Math. Appl. 77, No. 4, 1163--1177 (2019; Zbl 1442.65425) Full Text: DOI
De La Riva, Alvaro Pe; Rodrigo, Carmen; Gaspar, Francisco J. A robust multigrid solver for isogeometric analysis based on multiplicative Schwarz smoothers. (English) Zbl 07124595 SIAM J. Sci. Comput. 41, No. 5, S321-S345 (2019). MSC: 65Dxx 68-XX PDFBibTeX XMLCite \textit{A. P. De La Riva} et al., SIAM J. Sci. Comput. 41, No. 5, S321--S345 (2019; Zbl 07124595) Full Text: DOI
Führer, Thomas; Haberl, Alexander; Praetorius, Dirk; Schimanko, Stefan Adaptive BEM with inexact PCG solver yields almost optimal computational costs. (English) Zbl 1412.65233 Numer. Math. 141, No. 4, 967-1008 (2019). MSC: 65N38 65N22 65F08 65N50 41A25 65Y20 45E05 65R20 PDFBibTeX XMLCite \textit{T. Führer} et al., Numer. Math. 141, No. 4, 967--1008 (2019; Zbl 1412.65233) Full Text: DOI arXiv
De Marchi, S.; Martínez, A.; Perracchione, E. Fast and stable rational RBF-based partition of unity interpolation. (English) Zbl 1524.65075 J. Comput. Appl. Math. 349, 331-343 (2019). MSC: 65D12 41A05 41A30 65D15 65D17 PDFBibTeX XMLCite \textit{S. De Marchi} et al., J. Comput. Appl. Math. 349, 331--343 (2019; Zbl 1524.65075) Full Text: DOI
Bishop, Christopher J. Harmonic measure: algorithms and applications. (English) Zbl 1455.30015 Sirakov, Boyan (ed.) et al., Proceedings of the international congress of mathematicians 2018, ICM 2018, Rio de Janeiro, Brazil, August 1–9, 2018. Volume III. Invited lectures. Hackensack, NJ: World Scientific; Rio de Janeiro: Sociedade Brasileira de Matemática (SBM). 1511-1537 (2018). Reviewer: Marius Ghergu (Dublin) MSC: 30C85 65D99 30C30 37F31 PDFBibTeX XMLCite \textit{C. J. Bishop}, in: Proceedings of the international congress of mathematicians 2018, ICM 2018, Rio de Janeiro, Brazil, August 1--9, 2018. Volume III. Invited lectures. Hackensack, NJ: World Scientific; Rio de Janeiro: Sociedade Brasileira de Matemática (SBM). 1511--1537 (2018; Zbl 1455.30015) Full Text: DOI Link
Widlund, Olof B.; Dohrmann, Clark R. Small coarse spaces for overlapping Schwarz algorithms with irregular subdomains. (English) Zbl 1450.65177 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, 553-560 (2018). MSC: 65N55 65N30 65N50 65F35 74B20 PDFBibTeX XMLCite \textit{O. B. Widlund} and \textit{C. R. Dohrmann}, Lect. Notes Comput. Sci. Eng. 125, 553--560 (2018; Zbl 1450.65177) Full Text: DOI
Zhang, Huamin The eigenvalues range of a class of matrices and some applications in Cauchy-Schwarz inequality and iterative methods. (English) Zbl 1426.15012 Appl. Math. Comput. 321, 37-48 (2018). MSC: 15A18 65F30 PDFBibTeX XMLCite \textit{H. Zhang}, Appl. Math. Comput. 321, 37--48 (2018; Zbl 1426.15012) Full Text: DOI
Liu, Jun; Wang, Zhu Efficient time domain decomposition algorithms for parabolic PDE-constrained optimization problems. (English) Zbl 1409.65055 Comput. Math. Appl. 75, No. 6, 2115-2133 (2018). MSC: 65M06 65M55 49M25 35K20 PDFBibTeX XMLCite \textit{J. Liu} and \textit{Z. Wang}, Comput. Math. Appl. 75, No. 6, 2115--2133 (2018; Zbl 1409.65055) Full Text: DOI arXiv
Calvo, Juan G. On the approximation of a virtual coarse space for domain decomposition methods in two dimensions. (English) Zbl 1448.65259 Math. Models Methods Appl. Sci. 28, No. 7, 1267-1289 (2018). MSC: 65N55 65N30 65F10 65F08 35J15 PDFBibTeX XMLCite \textit{J. G. Calvo}, Math. Models Methods Appl. Sci. 28, No. 7, 1267--1289 (2018; Zbl 1448.65259) Full Text: DOI
Dal Santo, Niccolò; Deparis, Simone; Manzoni, Andrea A numerical investigation of multi space reduced basis preconditioners for parametrized elliptic advection-diffusion equations. (English) Zbl 1382.65384 Commun. Appl. Ind. Math. 8, No. 1, 282-297 (2017). MSC: 65N30 35J25 65F08 65N55 65Y20 65F10 PDFBibTeX XMLCite \textit{N. Dal Santo} et al., Commun. Appl. Ind. Math. 8, No. 1, 282--297 (2017; Zbl 1382.65384) Full Text: DOI
Yang, Danping Non-iterative parallel Schwarz algorithms based on overlapping domain decomposition for parabolic partial differential equations. (English) Zbl 1368.65183 Math. Comput. 86, No. 308, 2687-2718 (2017). MSC: 65M55 35K20 65Y05 PDFBibTeX XMLCite \textit{D. Yang}, Math. Comput. 86, No. 308, 2687--2718 (2017; Zbl 1368.65183) Full Text: DOI
Besse, Christophe; Xing, Feng Schwarz waveform relaxation method for one-dimensional Schrödinger equation with general potential. (English) Zbl 1359.65187 Numer. Algorithms 74, No. 2, 393-426 (2017). Reviewer: H. P. Dikshit (Bhopal) MSC: 65M55 35Q55 65Y05 65F08 PDFBibTeX XMLCite \textit{C. Besse} and \textit{F. Xing}, Numer. Algorithms 74, No. 2, 393--426 (2017; Zbl 1359.65187) Full Text: DOI arXiv
Boyd, John P. Correcting three errors in Kantorovich & Krylov’s Approximate methods of higher analysis. (English) Zbl 1391.65037 Am. Math. Mon. 123, No. 3, 241-257 (2016). MSC: 65D15 65B10 65R20 PDFBibTeX XMLCite \textit{J. P. Boyd}, Am. Math. Mon. 123, No. 3, 241--257 (2016; Zbl 1391.65037) Full Text: DOI
Stiller, Jörg Robust multigrid for high-order discontinuous Galerkin methods: a fast Poisson solver suitable for high-aspect ratio Cartesian grids. (English) Zbl 1422.65412 J. Comput. Phys. 327, 317-336 (2016). MSC: 65N30 35J05 65Y20 PDFBibTeX XMLCite \textit{J. Stiller}, J. Comput. Phys. 327, 317--336 (2016; Zbl 1422.65412) Full Text: DOI arXiv
Dahlke, Stephan; Lellek, Dominik; Lui, Shiu Hong; Stevenson, Rob Adaptive wavelet Schwarz methods for the Navier-Stokes equation. (English) Zbl 1471.76023 Numer. Funct. Anal. Optim. 37, No. 10, 1213-1234 (2016). MSC: 76D05 42C40 65F10 65N55 65T60 PDFBibTeX XMLCite \textit{S. Dahlke} et al., Numer. Funct. Anal. Optim. 37, No. 10, 1213--1234 (2016; Zbl 1471.76023) Full Text: DOI
Magoulès, Frédéric; Cheik Ahamed, Abal-Kassim; Putanowicz, Roman Optimized Schwarz method without overlap for the gravitational potential equation on cluster of graphics processing unit. (English) Zbl 1357.65040 Int. J. Comput. Math. 93, No. 6, 955-980 (2016). MSC: 65F10 65Y05 65Y10 65N55 68W10 49M27 PDFBibTeX XMLCite \textit{F. Magoulès} et al., Int. J. Comput. Math. 93, No. 6, 955--980 (2016; Zbl 1357.65040) Full Text: DOI
Calvo, Juan G. A two-level overlapping Schwarz method for \(H(\mathrm{curl})\) in two dimensions with irregular subdomains. (English) Zbl 1330.65175 ETNA, Electron. Trans. Numer. Anal. 44, 497-521 (2015). MSC: 65N30 35Q60 65N55 65F10 PDFBibTeX XMLCite \textit{J. G. Calvo}, ETNA, Electron. Trans. Numer. Anal. 44, 497--521 (2015; Zbl 1330.65175) Full Text: EMIS
Griebel, Michael; Hullmann, Alexander; Oswald, Peter Optimal scaling parameters for sparse grid discretizations. (English) Zbl 1349.65557 Numer. Linear Algebra Appl. 22, No. 1, 76-100 (2015). Reviewer: Ivana Pultarová (Praha) MSC: 65N06 65F08 65F35 65N22 65N55 65N50 65N12 PDFBibTeX XMLCite \textit{M. Griebel} et al., Numer. Linear Algebra Appl. 22, No. 1, 76--100 (2015; Zbl 1349.65557) Full Text: DOI
Lopez-Fernandez, Maria; Sauter, Stefan Generalized convolution quadrature with variable time stepping. II: Algorithm and numerical results. (English) Zbl 1325.65184 Appl. Numer. Math. 94, 88-105 (2015). MSC: 65R20 44A35 PDFBibTeX XMLCite \textit{M. Lopez-Fernandez} and \textit{S. Sauter}, Appl. Numer. Math. 94, 88--105 (2015; Zbl 1325.65184) Full Text: DOI
Halpern, Laurence; Hubert, Florence A finite volume Ventcell-Schwarz algorithm for advection-diffusion equations. (English) Zbl 1382.65360 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, 937-946 (2014). MSC: 65N08 35J25 65N55 65N12 PDFBibTeX XMLCite \textit{L. Halpern} and \textit{F. Hubert}, Lect. Notes Comput. Sci. Eng. 98, 937--946 (2014; Zbl 1382.65360) Full Text: DOI
Dohrmann, Clark R.; Widlund, Olof B. Lower dimensional coarse spaces for domain decomposition. (English) Zbl 1382.65437 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, 527-535 (2014). MSC: 65N55 35J25 65F35 PDFBibTeX XMLCite \textit{C. R. Dohrmann} and \textit{O. B. Widlund}, Lect. Notes Comput. Sci. Eng. 98, 527--535 (2014; Zbl 1382.65437) Full Text: DOI
Liu, Hui; Chen, Zhangxin; Yu, Song; Hsieh, Ben; Shao, Lei Development of a restricted additive Schwarz preconditioner for sparse linear systems on NVIDIA GPU. (English) Zbl 1463.65035 Int. J. Numer. Anal. Model., Ser. B 5, No. 1-2, 13-20 (2014). MSC: 65F08 65F50 65Y04 65Y05 65Y10 PDFBibTeX XMLCite \textit{H. Liu} et al., Int. J. Numer. Anal. Model., Ser. B 5, No. 1--2, 13--20 (2014; Zbl 1463.65035)
Badea, Lori Two-level methods with optimal computing complexity for variational inequalities of the second kind. (English) Zbl 1349.65200 Ann. Univ. Buchar., Math. Ser. 5(63), No. 2, 195-218 (2014). MSC: 65K15 49J40 49M27 65Y20 PDFBibTeX XMLCite \textit{L. Badea}, Ann. Univ. Buchar., Math. Ser. 5(63), No. 2, 195--218 (2014; Zbl 1349.65200)
Halpern, Laurence; Hubert, Florence A finite volume Ventcell-Schwarz algorithm for advection-diffusion equations. (English) Zbl 1320.65154 SIAM J. Numer. Anal. 52, No. 3, 1269-1291 (2014). MSC: 65N08 65N55 PDFBibTeX XMLCite \textit{L. Halpern} and \textit{F. Hubert}, SIAM J. Numer. Anal. 52, No. 3, 1269--1291 (2014; Zbl 1320.65154) Full Text: DOI Link
Song, Bo; Huang, Fenfen; Jiang, Yaolin Acceleration methods of Schwarz waveform relaxation for wave equations. (Chinese. English summary) Zbl 1289.65219 Chin. J. Eng. Math. 30, No. 1, 29-39 (2013). MSC: 65M55 35L05 65M12 65Y20 PDFBibTeX XMLCite \textit{B. Song} et al., Chin. J. Eng. Math. 30, No. 1, 29--39 (2013; Zbl 1289.65219)
Chung, Eric T.; Kim, Hyea Hyun; Widlund, Olof B. Two-level overlapping Schwarz algorithms for a staggered discontinuous Galerkin method. (English) Zbl 1267.65193 SIAM J. Numer. Anal. 51, No. 1, 47-67 (2013). Reviewer: Calin Ioan Gheorghiu (Cluj-Napoca) MSC: 65N55 65F10 65N30 65F08 35J05 65N50 PDFBibTeX XMLCite \textit{E. T. Chung} et al., SIAM J. Numer. Anal. 51, No. 1, 47--67 (2013; Zbl 1267.65193) Full Text: DOI Link
Fritzsche, David; Frommer, Andreas; Shank, Stephen D.; Szyld, Daniel B. Overlapping blocks by growing a partition with applications to preconditioning. (English) Zbl 1268.65044 SIAM J. Sci. Comput. 35, No. 1, A453-A473 (2013). Reviewer: Gisbert Stoyan (Budapest) MSC: 65F10 65F08 05C85 05C20 05C50 PDFBibTeX XMLCite \textit{D. Fritzsche} et al., SIAM J. Sci. Comput. 35, No. 1, A453--A473 (2013; Zbl 1268.65044) Full Text: DOI Link
Ben Belgacem, Faker; Gmati, Nabil; Jelassi, Faten Total overlapping Schwarz preconditioners for elliptic problems. (English) Zbl 1270.65073 ESAIM, Math. Model. Numer. Anal. 45, No. 1, 91-113 (2011). Reviewer: Calin Ioan Gheorghiu (Cluj-Napoca) MSC: 65N55 65F08 65N12 65N80 35J05 PDFBibTeX XMLCite \textit{F. Ben Belgacem} et al., ESAIM, Math. Model. Numer. Anal. 45, No. 1, 91--113 (2011; Zbl 1270.65073) Full Text: DOI
Vassiliev, V. A. Topological complexity and Schwarz genus of general real polynomial equation. (English) Zbl 1279.68109 Mosc. Math. J. 11, No. 3, 617-625 (2011). MSC: 68Q25 55R80 12Y05 55S40 68W30 PDFBibTeX XMLCite \textit{V. A. Vassiliev}, Mosc. Math. J. 11, No. 3, 617--625 (2011; Zbl 1279.68109) Full Text: Link
Chang, Huibin; Yang, Danping A Schwarz domain decomposition method with gradient projection for optimal control governed by elliptic partial differential equations. (English) Zbl 1226.65060 J. Comput. Appl. Math. 235, No. 17, 5078-5094 (2011). Reviewer: Jan Lovíšek (Bratislava) MSC: 65K10 49M27 PDFBibTeX XMLCite \textit{H. Chang} and \textit{D. Yang}, J. Comput. Appl. Math. 235, No. 17, 5078--5094 (2011; Zbl 1226.65060) Full Text: DOI
Pacheco Calixto, Wesley; Gonçalves Marra, Enes; da Cunha Brito, Leonardo; Pinheiro de Alvarenga, Bernardo A new methodology to calculate Carter factor using genetic algorithms. (English) Zbl 1220.78075 Int. J. Numer. Model. 24, No. 4, 387-399 (2011). MSC: 78A55 78M32 68T05 30C30 PDFBibTeX XMLCite \textit{W. Pacheco Calixto} et al., Int. J. Numer. Model. 24, No. 4, 387--399 (2011; Zbl 1220.78075) Full Text: DOI
Yang, Haijian; Cai, Xiao-Chuan Parallel two-grid semismooth Newton-Krylov-Schwarz method for nonlinear complementarity problems. (English) Zbl 1217.65116 J. Sci. Comput. 47, No. 2, 258-280 (2011). MSC: 65K05 90C33 90C53 65Y05 65F08 PDFBibTeX XMLCite \textit{H. Yang} and \textit{X.-C. Cai}, J. Sci. Comput. 47, No. 2, 258--280 (2011; Zbl 1217.65116) Full Text: DOI
Gander, Martin J.; Gouarin, Loïc; Halpern, Laurence Optimized Schwarz waveform relaxation methods: a large scale numerical study. (English) Zbl 1217.65190 Huang, Yunqing (ed.) et al., Domain decomposition methods in science and engineering XIX. Selected papers based on the presentations at the 19th international conference on domain decoposition (DD19), Zhanjiajie, China, August 17–22, 2009. Berlin: Springer (ISBN 978-3-642-11303-1/hbk; 978-3-642-11304-8/ebook). Lecture Notes in Computational Science and Engineering 78, 261-268 (2011). MSC: 65M55 65M60 35K20 65M12 65Y20 PDFBibTeX XMLCite \textit{M. J. Gander} et al., Lect. Notes Comput. Sci. Eng. 78, 261--268 (2011; Zbl 1217.65190) Full Text: DOI
Caetano, Filipa; Gander, Martin J.; Halpern, Laurence; Szeftel, Jérémie Schwarz waveform relaxation algorithms with nonlinear transmission conditions for reaction-diffusion equations. (English) Zbl 1217.65185 Huang, Yunqing (ed.) et al., Domain decomposition methods in science and engineering XIX. Selected papers based on the presentations at the 19th international conference on domain decoposition (DD19), Zhanjiajie, China, August 17–22, 2009. Berlin: Springer (ISBN 978-3-642-11303-1/hbk; 978-3-642-11304-8/ebook). Lecture Notes in Computational Science and Engineering 78, 245-252 (2011). MSC: 65M55 35K57 65Y05 PDFBibTeX XMLCite \textit{F. Caetano} et al., Lect. Notes Comput. Sci. Eng. 78, 245--252 (2011; Zbl 1217.65185) Full Text: DOI
Dolean, Victorita; El Bouajaji, Mohamed; Gander, Martin J.; Lanteri, Stéphane; Perrussel, Ronan Domain decomposition methods for electromagnetic wave propagation problems in heterogeneous media and complex domains. (English) Zbl 1217.78058 Huang, Yunqing (ed.) et al., Domain decomposition methods in science and engineering XIX. Selected papers based on the presentations at the 19th international conference on domain decoposition (DD19), Zhanjiajie, China, August 17–22, 2009. Berlin: Springer (ISBN 978-3-642-11303-1/hbk; 978-3-642-11304-8/ebook). Lecture Notes in Computational Science and Engineering 78, 15-26 (2011). MSC: 78M10 78M25 65N30 65N55 35Q60 78A40 PDFBibTeX XMLCite \textit{V. Dolean} et al., Lect. Notes Comput. Sci. Eng. 78, 15--26 (2011; Zbl 1217.78058) Full Text: DOI
Hsu, Hsin-Wei; Hwang, Feng-Nan; Wei, Zih-Hao; Lai, Sheng-Hong; Lin, Chao-An A parallel multilevel preconditioned iterative pressure Poisson solver for the large-eddy simulation of turbulent flow inside a duct. (English) Zbl 1430.76012 Comput. Fluids 45, No. 1, 138-146 (2011). MSC: 76-06 76F65 65Y05 65Y20 PDFBibTeX XMLCite \textit{H.-W. Hsu} et al., Comput. Fluids 45, No. 1, 138--146 (2011; Zbl 1430.76012) Full Text: DOI
He, Xiahui; Li, Qingguo; Yang, Haijian A Newton-Krylov-Schwarz algorithm for complementarity problems. (Chinese. English summary) Zbl 1240.90434 J. Hunan Univ., Nat. Sci. 37, No. 12, 90-92 (2010). MSC: 90C33 65K10 PDFBibTeX XMLCite \textit{X. He} et al., J. Hunan Univ., Nat. Sci. 37, No. 12, 90--92 (2010; Zbl 1240.90434)
Xu, Hongru; Zeng, Jinping; Sun, Zhe Two-level additive Schwarz algorithms for nonlinear complementarity problem with an \(M\)-function. (English) Zbl 1240.65191 Numer. Linear Algebra Appl. 17, No. 4, 599-613 (2010). Reviewer: Jiří Starý (Praha) MSC: 65K05 90C33 65Y05 PDFBibTeX XMLCite \textit{H. Xu} et al., Numer. Linear Algebra Appl. 17, No. 4, 599--613 (2010; Zbl 1240.65191) Full Text: DOI
Hwang, Feng-Nan; Cai, Shang-Rong; Shao, Yun-Long; Wu, Jong-Shinn Parallel Newton-Krylov-Schwarz algorithms for the three-dimensional Poisson-Boltzmann equation in numerical simulation of colloidal particle interactions. (English) Zbl 1219.82024 Comput. Phys. Commun. 181, No. 9, 1529-1537 (2010). MSC: 82-08 82C22 76P05 65N08 65H10 65F08 65F10 65Y10 35J61 35Q20 PDFBibTeX XMLCite \textit{F.-N. Hwang} et al., Comput. Phys. Commun. 181, No. 9, 1529--1537 (2010; Zbl 1219.82024) Full Text: DOI
Xu, X.; Chen, H.; Hoppe, R. H. W. Optimality of local multilevel methods on adaptively refined meshes for elliptic boundary value problems. (English) Zbl 1194.65147 J. Numer. Math. 18, No. 1, 59-90 (2010). Reviewer: Srinivasan Natesan (Assam) MSC: 65N55 65N30 35J25 65F08 PDFBibTeX XMLCite \textit{X. Xu} et al., J. Numer. Math. 18, No. 1, 59--90 (2010; Zbl 1194.65147) Full Text: DOI
Beckermann, Bernhard; Reichel, Lothar Error estimates and evaluation of matrix functions via the Faber transform. (English) Zbl 1204.65041 SIAM J. Numer. Anal. 47, No. 5, 3849-3883 (2009). MSC: 65F30 65F50 15A16 PDFBibTeX XMLCite \textit{B. Beckermann} and \textit{L. Reichel}, SIAM J. Numer. Anal. 47, No. 5, 3849--3883 (2009; Zbl 1204.65041) Full Text: DOI Link
Dolean, V.; Gander, M. J.; Gerardo-Giorda, L. Optimized Schwarz methods for Maxwell’s equations. (English) Zbl 1192.78044 SIAM J. Sci. Comput. 31, No. 3, 2193-2213 (2009). MSC: 78M25 65M55 65F10 65N22 65M12 PDFBibTeX XMLCite \textit{V. Dolean} et al., SIAM J. Sci. Comput. 31, No. 3, 2193--2213 (2009; Zbl 1192.78044) Full Text: DOI arXiv Link
Simoncini, V.; Druskin, V. Convergence analysis of projection methods for the numerical solution of large Lyapunov equations. (English) Zbl 1195.65058 SIAM J. Numer. Anal. 47, No. 2, 828-843 (2009). Reviewer: T. C. Mohan (Dehra Dun) MSC: 65F30 65F10 93B40 15A24 15A16 PDFBibTeX XMLCite \textit{V. Simoncini} and \textit{V. Druskin}, SIAM J. Numer. Anal. 47, No. 2, 828--843 (2009; Zbl 1195.65058) Full Text: DOI
Loisel, Sébastien; Szyld, Daniel B. On the convergence of optimized Schwarz methods by way of matrix analysis. (English) Zbl 1183.65136 Bercovier, Michel (ed.) et al., Domain decomposition methods in science and engineering XVIII. Selected papers based on the presentations at the 18th international conference of domain decomposition methods, Jerusalem, Israel, January 12–17, 2008. Berlin: Springer (ISBN 978-3-642-02676-8/hbk; 978-3-642-04466-3/ebook). Lecture Notes in Computational Science and Engineering 70, 363-370 (2009). MSC: 65N12 65N55 65Y05 65N30 35J05 65F10 PDFBibTeX XMLCite \textit{S. Loisel} and \textit{D. B. Szyld}, Lect. Notes Comput. Sci. Eng. 70, 363--370 (2009; Zbl 1183.65136) Full Text: DOI
Cai, Xiao-Chuan Nonlinear overlapping domain decomposition methods. (English) Zbl 1183.65053 Bercovier, Michel (ed.) et al., Domain decomposition methods in science and engineering XVIII. Selected papers based on the presentations at the 18th international conference of domain decomposition methods, Jerusalem, Israel, January 12–17, 2008. Berlin: Springer (ISBN 978-3-642-02676-8/hbk; 978-3-642-04466-3/ebook). Lecture Notes in Computational Science and Engineering 70, 217-224 (2009). MSC: 65H10 65Y05 65N55 65F08 65N12 35J65 PDFBibTeX XMLCite \textit{X.-C. Cai}, Lect. Notes Comput. Sci. Eng. 70, 217--224 (2009; Zbl 1183.65053) Full Text: DOI
Dubois, Olivier; Gander, Martin J. Convergence behavior of a two-level optimized Schwarz preconditioner. (English) Zbl 1183.65030 Bercovier, Michel (ed.) et al., Domain decomposition methods in science and engineering XVIII. Selected papers based on the presentations at the 18th international conference of domain decomposition methods, Jerusalem, Israel, January 12–17, 2008. Berlin: Springer (ISBN 978-3-642-02676-8/hbk; 978-3-642-04466-3/ebook). Lecture Notes in Computational Science and Engineering 70, 177-184 (2009). MSC: 65F08 65N55 35J05 65F10 65N12 65N06 PDFBibTeX XMLCite \textit{O. Dubois} and \textit{M. J. Gander}, Lect. Notes Comput. Sci. Eng. 70, 177--184 (2009; Zbl 1183.65030) Full Text: DOI Link
Cai, Xiao-Chuan; Liu, Si; Zou, Jun Parallel overlapping domain decomposition methods for coupled inverse elliptic problems. (English) Zbl 1169.65342 Commun. Appl. Math. Comput. Sci. 4, 1-26 (2009). MSC: 65N21 65N55 65Y05 PDFBibTeX XMLCite \textit{X.-C. Cai} et al., Commun. Appl. Math. Comput. Sci. 4, 1--26 (2009; Zbl 1169.65342) Full Text: DOI
Giraud, L.; Haidar, A. Parallel algebraic hybrid solvers for large 3D convection-diffusion problems. (English) Zbl 1167.65355 Numer. Algorithms 51, No. 2, 151-177 (2009). MSC: 65F10 35J25 65N55 65F50 65Y05 PDFBibTeX XMLCite \textit{L. Giraud} and \textit{A. Haidar}, Numer. Algorithms 51, No. 2, 151--177 (2009; Zbl 1167.65355) Full Text: DOI
Qiang, Jing Additive Schwarz algorithms for parabolic problems. (English) Zbl 1169.65095 Appl. Math. Comput. 208, No. 2, 531-541 (2009). Reviewer: Vit Dolejsi (Praha) MSC: 65M55 65M60 65F10 35K15 65M12 65M06 65M15 65F35 PDFBibTeX XMLCite \textit{J. Qiang}, Appl. Math. Comput. 208, No. 2, 531--541 (2009; Zbl 1169.65095) Full Text: DOI
Hale, Nicholas; Higham, Nicholas J.; Trefethen, Lloyd N. Computing \(A^\alpha, \log(A)\), and related matrix functions by contour integrals. (English) Zbl 1176.65053 SIAM J. Numer. Anal. 46, No. 5, 2505-2523 (2008). MSC: 65F30 65D30 PDFBibTeX XMLCite \textit{N. Hale} et al., SIAM J. Numer. Anal. 46, No. 5, 2505--2523 (2008; Zbl 1176.65053) Full Text: DOI
Carey, Graham F. A patch/subdomain iteration framework and algorithm class for error indicator and mesh reliability calculations. (English) Zbl 1156.65026 Commun. Numer. Methods Eng. 24, No. 11, 1431-1443 (2008). MSC: 65F10 65N55 65N50 35J25 65N06 65N30 PDFBibTeX XMLCite \textit{G. F. Carey}, Commun. Numer. Methods Eng. 24, No. 11, 1431--1443 (2008; Zbl 1156.65026) Full Text: DOI
Chen, Gaojie; Zeng, Jinping On the convergence of generalized Schwarz algorithms for solving obstacle problems with elliptic operators. (English) Zbl 1145.65041 Math. Methods Oper. Res. 67, No. 3, 455-469 (2008). Reviewer: Jan Lovíšek (Bratislava) MSC: 65K10 49J40 49M27 PDFBibTeX XMLCite \textit{G. Chen} and \textit{J. Zeng}, Math. Methods Oper. Res. 67, No. 3, 455--469 (2008; Zbl 1145.65041) Full Text: DOI
Halpern, Laurence; Szeftel, Jérémie Optimized and quasi-optimal Schwarz waveform relaxation for the one dimensional Schrödinger equation. (English) Zbl 1140.65353 Langer, Ulrich (ed.) et al., Domain decomposition methods in science and engineering XVII. Selected papers based on the presentations at the 17th international conference on domain decomposition methods, St. Wolfgang/Strobl, Austria, July 3–7, 2006. Berlin: Springer (ISBN 978-3-540-75198-4/pbk). Lecture Notes in Computational Science and Engineering 60, 221-228 (2008). MSC: 65M55 35Q40 65F10 65M70 PDFBibTeX XMLCite \textit{L. Halpern} and \textit{J. Szeftel}, Lect. Notes Comput. Sci. Eng. 60, 221--228 (2008; Zbl 1140.65353) Full Text: DOI HAL
Halpern, Laurence Schwarz waveform relaxation algorithms. (English) Zbl 1140.65352 Langer, Ulrich (ed.) et al., Domain decomposition methods in science and engineering XVII. Selected papers based on the presentations at the 17th international conference on domain decomposition methods, St. Wolfgang/Strobl, Austria, July 3–7, 2006. Berlin: Springer (ISBN 978-3-540-75198-4/pbk). Lecture Notes in Computational Science and Engineering 60, 57-68 (2008). MSC: 65M55 65Y05 35K15 65M12 65F15 PDFBibTeX XMLCite \textit{L. Halpern}, Lect. Notes Comput. Sci. Eng. 60, 57--68 (2008; Zbl 1140.65352) Full Text: DOI
Badea, Lori Schwarz methods for inequalities with contraction operators. (English) Zbl 1147.65042 J. Comput. Appl. Math. 215, No. 1, 196-219 (2008). Reviewer: Zhen Mei (Toronto) MSC: 65J15 65N55 65N30 47H09 35Q30 PDFBibTeX XMLCite \textit{L. Badea}, J. Comput. Appl. Math. 215, No. 1, 196--219 (2008; Zbl 1147.65042) Full Text: DOI
Binder, Ilia; Braverman, Mark; Yampolsky, Michael On the computational complexity of the Riemann mapping. (English) Zbl 1153.30005 Ark. Mat. 45, No. 2, 221-239 (2007). Reviewer: Dmitri V. Prokhorov (Saratov) MSC: 30C30 65Y20 68Q17 68Q25 PDFBibTeX XMLCite \textit{I. Binder} et al., Ark. Mat. 45, No. 2, 221--239 (2007; Zbl 1153.30005) Full Text: DOI arXiv
Janka, Aleš A domain decomposition solver for ferromagnetism. (English) Zbl 1134.78015 Math. Comput. Simul. 76, No. 1-3, 86-93 (2007). MSC: 78M10 65N30 65N38 65N55 65Y20 78A30 PDFBibTeX XMLCite \textit{A. Janka}, Math. Comput. Simul. 76, No. 1--3, 86--93 (2007; Zbl 1134.78015) Full Text: DOI
Lazarov, R. D.; Margenov, S. D. CBS constants for multilevel splitting of graph-Laplacian and application to preconditioning of discontinuous Galerkin systems. (English) Zbl 1145.65098 J. Complexity 23, No. 4-6, 498-515 (2007). Reviewer: Murli Gupta (Washington, D. C.) MSC: 65N30 35J25 65F10 65F35 65N55 65Y20 PDFBibTeX XMLCite \textit{R. D. Lazarov} and \textit{S. D. Margenov}, J. Complexity 23, No. 4--6, 498--515 (2007; Zbl 1145.65098) Full Text: DOI
D’Ambra, Pasqua; di Serafino, Daniela; Filippone, Salvatore On the development of PSBLAS-based parallel two-level Schwarz preconditioners. (English) Zbl 1123.65029 Appl. Numer. Math. 57, No. 11-12, 1181-1196 (2007). MSC: 65F35 65F10 65Y05 65N55 65Y15 PDFBibTeX XMLCite \textit{P. D'Ambra} et al., Appl. Numer. Math. 57, No. 11--12, 1181--1196 (2007; Zbl 1123.65029) Full Text: DOI
Buttari, Alfredo; D’Ambra, Pasqua; di Serafino, Daniela; Filippone, Salvatore 2LEV-D2P4: a package of high-performance preconditioners for scientific and engineering applications. (English) Zbl 1122.65046 Appl. Algebra Eng. Commun. Comput. 18, No. 3, 223-239 (2007). MSC: 65F35 65F10 65Y15 65Y05 PDFBibTeX XMLCite \textit{A. Buttari} et al., Appl. Algebra Eng. Commun. Comput. 18, No. 3, 223--239 (2007; Zbl 1122.65046) Full Text: DOI
Graham, I. G.; Scheichl, R. Robust domain decomposition algorithms for multiscale PDEs. (English) Zbl 1141.65085 Numer. Methods Partial Differ. Equations 23, No. 4, 859-878 (2007). Reviewer: Srinivasan Natesan (Assam) MSC: 65N55 65N30 35J25 65F10 65F35 PDFBibTeX XMLCite \textit{I. G. Graham} and \textit{R. Scheichl}, Numer. Methods Partial Differ. Equations 23, No. 4, 859--878 (2007; Zbl 1141.65085) Full Text: DOI
Koepf, Wolfram Bieberbach’s conjecture, the de Branges and Weinstein functions and the Askey-Gasper inequality. (English) Zbl 1186.30001 Ramanujan J. 13, No. 1-3, 103-129 (2007). Reviewer: Marcel G. de Bruin (Haarlem) MSC: 30-02 30C50 30C35 30C45 30C80 33C20 33C45 33F10 68W30 PDFBibTeX XMLCite \textit{W. Koepf}, Ramanujan J. 13, No. 1--3, 103--129 (2007; Zbl 1186.30001) Full Text: DOI Link
Chau, Ming; El Baz, Didier; Guivarch, Ronan; Spiteri, Pierre MPI implementation of parallel subdomain methods for linear and nonlinear convection - diffusion problems. (English) Zbl 1111.68352 J. Parallel Distrib. Comput. 67, No. 5, 581-591 (2007). MSC: 68M14 68W10 PDFBibTeX XMLCite \textit{M. Chau} et al., J. Parallel Distrib. Comput. 67, No. 5, 581--591 (2007; Zbl 1111.68352) Full Text: DOI
Kim, Hyea Hyun; Widlund, Olof B. Two-level Schwarz algorithms with overlapping subregions for mortar finite elements. (English) Zbl 1124.65035 SIAM J. Numer. Anal. 44, No. 4, 1514-1534 (2006). Reviewer: Constantin Popa (Constanţa) MSC: 65F10 65N30 65N55 35J25 65F35 PDFBibTeX XMLCite \textit{H. H. Kim} and \textit{O. B. Widlund}, SIAM J. Numer. Anal. 44, No. 4, 1514--1534 (2006; Zbl 1124.65035) Full Text: DOI
Hwang, Feng-Nan; Cai, Xiao-Chuan Parallel fully coupled Schwarz preconditioners for saddle point problems. (English) Zbl 1112.65026 ETNA, Electron. Trans. Numer. Anal. 22, 146-162 (2006). MSC: 65F10 65Y05 76D07 65F30 35Q30 76M10 65N55 65N30 PDFBibTeX XMLCite \textit{F.-N. Hwang} and \textit{X.-C. Cai}, ETNA, Electron. Trans. Numer. Anal. 22, 146--162 (2006; Zbl 1112.65026) Full Text: EuDML Link
Halpern, L. Absorbing boundary conditions and optimized Schwarz waveform relaxation. (English) Zbl 1106.65073 BIT 46, Suppl., S21-S34 (2006). MSC: 65M06 65M55 35K15 PDFBibTeX XMLCite \textit{L. Halpern}, BIT 46, S21--S34 (2006; Zbl 1106.65073) Full Text: DOI
Bornemann, Folkmar; Laurie, Dirk; Wagon, Stan; Waldvogel, Jörg The SIAM 100-Digit Challenge: a study in high-accuracy numerical computing. With Foreword by David H. Bailey. Translated from the English. (Vom Lösen numerischer Probleme. Ein Streifzug entlang der “SIAM \(10\times 10\)-Digit-Challenge”. Mit einem Vorwort von David H. Bailey. Übersetzt aus dem Englischen.) (German) Zbl 1158.65001 Berlin: Springer (ISBN 3-540-34114-5/pbk). xiii, 381 p. (2006). MSC: 65-01 65Dxx 65Fxx 68W30 65C50 65T40 PDFBibTeX XMLCite \textit{F. Bornemann} et al., Vom Lösen numerischer Probleme. Ein Streifzug entlang der ``SIAM \(10\times 10\)-Digit-Challenge''. Mit einem Vorwort von David H. Bailey. Übersetzt aus dem Englischen. Berlin: Springer (2006; Zbl 1158.65001) Full Text: DOI
Boglaev, Igor; Hardy, Matthew Monotone finite difference domain decomposition algorithms and applications to nonlinear singularly perturbed reaction-diffusion problems. (English) Zbl 1133.65059 Adv. Difference Equ. 2006, Article ID 70325, 38 p. (2006). MSC: 65M06 35K57 35J65 65N06 35B25 65M55 65N55 65M12 65N12 PDFBibTeX XMLCite \textit{I. Boglaev} and \textit{M. Hardy}, Adv. Difference Equ. 2006, Article ID 70325, 38 p. (2006; Zbl 1133.65059) Full Text: DOI EuDML
Mihai, L. Angela; Craig, Alan W. Alternate strip-based substructuring algorithms for elliptic PDEs in two dimensions. (English) Zbl 1102.65117 IMA J. Numer. Anal. 26, No. 2, 354-380 (2006). Reviewer: Fumio Kikuchi (Tokyo) MSC: 65N30 65F10 65F35 65N12 35J25 PDFBibTeX XMLCite \textit{L. A. Mihai} and \textit{A. W. Craig}, IMA J. Numer. Anal. 26, No. 2, 354--380 (2006; Zbl 1102.65117) Full Text: DOI
Boglaev, Igor Monotone Schwarz iterates for a semilinear parabolic convection–diffusion problem. (English) Zbl 1075.65110 J. Comput. Appl. Math. 183, No. 1, 191-209 (2005). Reviewer: Emil Minchev (Tokyo) MSC: 65M06 35B25 35K55 65M12 65M55 PDFBibTeX XMLCite \textit{I. Boglaev}, J. Comput. Appl. Math. 183, No. 1, 191--209 (2005; Zbl 1075.65110) Full Text: DOI
Driscoll, Tobin A. Algorithm 843: Improvements to the Schwarz-Christoffel toolbox for MATLAB. (English) Zbl 1070.30500 ACM Trans. Math. Softw. 31, No. 2, 239-251 (2005). MSC: 30C30 65E05 68N19 65Y15 30-04 PDFBibTeX XMLCite \textit{T. A. Driscoll}, ACM Trans. Math. Softw. 31, No. 2, 239--251 (2005; Zbl 1070.30500) Full Text: DOI
Climent, Joan-Josep; Perea, Carmen; Tortosa, Leandro; Zamora, Antonio An overlapped two-way method for solving tridiagonal linear systems in a BSP computer. (English) Zbl 1062.65030 Appl. Math. Comput. 161, No. 2, 475-500 (2005). Reviewer: Daniel Kressner (Zagreb) MSC: 65F05 65F50 65Y05 65Y10 PDFBibTeX XMLCite \textit{J.-J. Climent} et al., Appl. Math. Comput. 161, No. 2, 475--500 (2005; Zbl 1062.65030) Full Text: DOI
Jorge, J. C.; Portero, L. Some applications of fractional step Runge-Kutta methods. (English) Zbl 1070.65086 WSEAS Trans. Syst. 3, No. 8, 2770-2775 (2004). MSC: 65M20 35K15 65L06 65F10 65M55 PDFBibTeX XMLCite \textit{J. C. Jorge} and \textit{L. Portero}, WSEAS Trans. Syst. 3, No. 8, 2770--2775 (2004; Zbl 1070.65086)
Li, Chenliang; Zeng, Jinping; Zhou, Shuzi Convergence analysis of generalized Schwarz algorithms for solving obstacle problems with \(T\)-monotone operator. (English) Zbl 1076.47050 Comput. Math. Appl. 48, No. 3-4, 373-386 (2004). Reviewer: Muhammad Aslam Noor (Islamabad) MSC: 47J20 47J25 47H05 65J15 49J40 47H04 PDFBibTeX XMLCite \textit{C. Li} et al., Comput. Math. Appl. 48, No. 3--4, 373--386 (2004; Zbl 1076.47050) Full Text: DOI
Stefanica, Dan Lower bounds for additive Schwarz methods with mortars. (English. Abridged French version) Zbl 1061.65137 C. R., Math., Acad. Sci. Paris 339, No. 10, 739-743 (2004). MSC: 65N55 65F10 65F35 65N30 35J25 PDFBibTeX XMLCite \textit{D. Stefanica}, C. R., Math., Acad. Sci. Paris 339, No. 10, 739--743 (2004; Zbl 1061.65137) Full Text: DOI
Novati, P. Solving linear initial value problems by Faber polynomials. (English) Zbl 1071.65054 Numer. Linear Algebra Appl. 10, No. 3, 247-270 (2003). Reviewer: Emil Vitásek (Praha) MSC: 65F30 65L05 34A30 PDFBibTeX XMLCite \textit{P. Novati}, Numer. Linear Algebra Appl. 10, No. 3, 247--270 (2003; Zbl 1071.65054) Full Text: DOI
Garasym, Ya. S.; Ostudin, B. A. On numerical approach to solve some three-dimensional boundary value problems in potential theory based on the integral equation method. (English) Zbl 1064.65541 Zh. Obchysl. Prykl. Mat. 88, No. 1, 17-27 (2003). MSC: 65N38 78A35 78M15 35J05 PDFBibTeX XMLCite \textit{Ya. S. Garasym} and \textit{B. A. Ostudin}, Zh. Obchysl. Prykl. Mat. 88, No. 1, 17--27 (2003; Zbl 1064.65541)
Collins, Charles R.; Driscoll, Tobin A.; Stephenson, Kenneth Curvature flow in conformal mapping. (English) Zbl 1073.52511 Comput. Methods Funct. Theory 3, No. 1-2, 325-347 (2003). MSC: 52C26 30C30 53A30 65D15 37E35 53A05 PDFBibTeX XMLCite \textit{C. R. Collins} et al., Comput. Methods Funct. Theory 3, No. 1--2, 325--347 (2003; Zbl 1073.52511) Full Text: DOI
Cai, Xiao-Chuan; Dryja, Maksymilian; Sarkis, Marcus Restricted additive Schwarz preconditioners with harmonic overlap for symmetric positive definite linear systems. (English) Zbl 1052.65036 SIAM J. Numer. Anal. 41, No. 4, 1209-1231 (2003). Reviewer: Iulian Coroian (Baia Mare) MSC: 65F35 65N30 65F10 65N55 35J05 65F30 PDFBibTeX XMLCite \textit{X.-C. Cai} et al., SIAM J. Numer. Anal. 41, No. 4, 1209--1231 (2003; Zbl 1052.65036) Full Text: DOI
Nabben, Reinhard; Szyld, Daniel B. Convergence theory of restricted multiplicative Schwarz methods. (English) Zbl 1040.65031 SIAM J. Numer. Anal. 40, No. 6, 2318-2336 (2003). Reviewer: Dietrich Braess (Bochum) MSC: 65F10 65F35 65N55 65Y05 PDFBibTeX XMLCite \textit{R. Nabben} and \textit{D. B. Szyld}, SIAM J. Numer. Anal. 40, No. 6, 2318--2336 (2003; Zbl 1040.65031) Full Text: DOI
Spiteri, Pierre; Miellou, Jean-Claude; El Baz, Didier Parallel asynchronous Schwarz and multisplitting methods for a nonlinear diffusion problem. (English) Zbl 1033.65085 Numer. Algorithms 33, No. 1-4, 461-474 (2003). Reviewer: Vit Dolejsi (Praha) MSC: 65M55 65H10 65M06 65Y05 35K55 PDFBibTeX XMLCite \textit{P. Spiteri} et al., Numer. Algorithms 33, No. 1--4, 461--474 (2003; Zbl 1033.65085) Full Text: DOI
Douglas, Craig C.; Haase, Gundolf; Iskandarani, Mohamed An additive Schwarz preconditioner for the spectral element ocean model formulation of the shallow water equations. (English) Zbl 1041.68127 ETNA, Electron. Trans. Numer. Anal. 15, 18-28 (2003). MSC: 68W10 65Y05 47N40 76D33 PDFBibTeX XMLCite \textit{C. C. Douglas} et al., ETNA, Electron. Trans. Numer. Anal. 15, 18--28 (2003; Zbl 1041.68127) Full Text: EuDML EMIS
Gander, Martin J.; Halpern, Laurence Méthodes de relaxation d’ondes (SWR) pour l’équation de la chaleur en dimension 1. (Optimized Schwarz waveform relaxation (SWR) for the one-dimensional heat equation). (French. Abridged English version) Zbl 1028.65100 C. R., Math., Acad. Sci. Paris 336, No. 6, 519-524 (2003). MSC: 65M20 65M55 65M12 35K05 PDFBibTeX XMLCite \textit{M. J. Gander} and \textit{L. Halpern}, C. R., Math., Acad. Sci. Paris 336, No. 6, 519--524 (2003; Zbl 1028.65100) Full Text: DOI