Jensen, Stig Rune; Durdek, Antoine; Bjørgve, Magnar; Wind, Peter; Flå, Tor; Frediani, Luca Kinetic energy-free Hartree-Fock equations: an integral formulation. (English) Zbl 07659129 J. Math. Chem. 61, No. 2, 343-361 (2023). MSC: 65M12 65T60 65R20 65K10 65H10 65F08 65F10 82M36 81V45 35Q55 35Q40 PDF BibTeX XML Cite \textit{S. R. Jensen} et al., J. Math. Chem. 61, No. 2, 343--361 (2023; Zbl 07659129) Full Text: DOI OpenURL
Yu, Jian-Wei; Zhang, Chun-Hua; Huang, Xin; Wang, Xiang A class of preconditioner for solving the Riesz distributed-order nonlinear space-fractional diffusion equations. (English) Zbl 07642734 Japan J. Ind. Appl. Math. 40, No. 1, 537-562 (2023). MSC: 65M06 65N06 65T50 65F08 65M12 41A25 15B05 15A18 35R11 PDF BibTeX XML Cite \textit{J.-W. Yu} et al., Japan J. Ind. Appl. Math. 40, No. 1, 537--562 (2023; Zbl 07642734) Full Text: DOI OpenURL
De Simone, Valentina; di Serafino, Daniela; Gondzio, Jacek; Pougkakiotis, Spyridon; Viola, Marco Sparse approximations with interior point methods. (English) Zbl 07611914 SIAM Rev. 64, No. 4, 954-988 (2022). MSC: 65K05 90C51 90C25 65F10 65F08 90C90 PDF BibTeX XML Cite \textit{V. De Simone} et al., SIAM Rev. 64, No. 4, 954--988 (2022; Zbl 07611914) Full Text: DOI arXiv OpenURL
Zhang, Yuanyuan; Wu, Qingbiao; Feng, Yuye; Xiao, Yao Modified Newton-PSBTS method for solving complex nonlinear systems with symmetric Jacobian matrices. (English) Zbl 07603721 Appl. Numer. Math. 182, 308-329 (2022). MSC: 65H10 49M15 65F08 PDF BibTeX XML Cite \textit{Y. Zhang} et al., Appl. Numer. Math. 182, 308--329 (2022; Zbl 07603721) Full Text: DOI OpenURL
Köhler, Stephan; Rheinbach, Oliver Globalization of nonlinear FETI-DP domain decomposition methods using an SQP approach. (English) Zbl 1502.65207 Vietnam J. Math. 50, No. 4, 1053-1079 (2022). Reviewer: Calin Ioan Gheorghiu (Cluj-Napoca) MSC: 65N30 65N55 65K10 65F08 65F10 49M15 49M41 90C20 PDF BibTeX XML Cite \textit{S. Köhler} and \textit{O. Rheinbach}, Vietnam J. Math. 50, No. 4, 1053--1079 (2022; Zbl 1502.65207) Full Text: DOI OpenURL
Chaouqui, F.; Gander, M. J.; Kumbhar, P. M.; Vanzan, T. Linear and nonlinear substructured restricted additive Schwarz iterations and preconditioning. (English) Zbl 1494.65100 Numer. Algorithms 91, No. 1, 81-107 (2022). Reviewer: Marius Ghergu (Dublin) MSC: 65N55 65F08 65H10 PDF BibTeX XML Cite \textit{F. Chaouqui} et al., Numer. Algorithms 91, No. 1, 81--107 (2022; Zbl 1494.65100) Full Text: DOI arXiv OpenURL
Lu, Zhongjie; Xu, Yan A parallel eigensolver for photonic crystals discretized by edge finite elements. (English) Zbl 1502.65181 J. Sci. Comput. 92, No. 3, Paper No. 79, 21 p. (2022). MSC: 65N25 65N30 65F08 65Y10 78A60 82D80 78M10 PDF BibTeX XML Cite \textit{Z. Lu} and \textit{Y. Xu}, J. Sci. Comput. 92, No. 3, Paper No. 79, 21 p. (2022; Zbl 1502.65181) Full Text: DOI OpenURL
Sadkane, Miloud Inexact inverse subspace iteration with preconditioning applied to quadratic matrix polynomials. (English) Zbl 1481.65078 Comput. Methods Appl. Math. 22, No. 1, 181-197 (2022). MSC: 65H17 65F15 65F08 PDF BibTeX XML Cite \textit{M. Sadkane}, Comput. Methods Appl. Math. 22, No. 1, 181--197 (2022; Zbl 1481.65078) Full Text: DOI OpenURL
Zhang, Jia-Lin; Zhang, Guo-Feng; Liang, Zhao-Zheng A preconditioned general two-step modulus-based accelerated overrelaxation iteration method for nonlinear complementarity problems. (English) Zbl 1480.65078 Japan J. Ind. Appl. Math. 39, No. 1, 227-255 (2022). MSC: 65F10 65F08 65F50 65K05 90C33 PDF BibTeX XML Cite \textit{J.-L. Zhang} et al., Japan J. Ind. Appl. Math. 39, No. 1, 227--255 (2022; Zbl 1480.65078) Full Text: DOI OpenURL
De Sterck, Hans; He, Yunhui On the asymptotic linear convergence speed of Anderson acceleration, Nesterov acceleration, and nonlinear GMRES. (English) Zbl 1490.65120 SIAM J. Sci. Comput. 43, No. 5, S21-S46 (2021). MSC: 65K10 49M37 65H10 65F08 65F10 15A69 PDF BibTeX XML Cite \textit{H. De Sterck} and \textit{Y. He}, SIAM J. Sci. Comput. 43, No. 5, S21--S46 (2021; Zbl 1490.65120) Full Text: DOI arXiv OpenURL
Wang, Haolei; Zhang, Lei Simulating three dimensional granular materials by energy minimization methods. (Chinese. English summary) Zbl 1488.74065 J. Numer. Methods Comput. Appl. 42, No. 1, 80-90 (2021). MSC: 74G65 65F08 74E20 PDF BibTeX XML Cite \textit{H. Wang} and \textit{L. Zhang}, J. Numer. Methods Comput. Appl. 42, No. 1, 80--90 (2021; Zbl 1488.74065) Full Text: DOI OpenURL
Tian, Wenyi; Yuan, Xiaoming; Yue, Hangrui An ADMM-Newton-CNN numerical approach to a TV model for identifying discontinuous diffusion coefficients in elliptic equations: convex case with gradient observations. (English) Zbl 1478.65109 Inverse Probl. 37, No. 8, Article ID 085004, 29 p. (2021). MSC: 65N21 65K10 65N30 65F08 65F10 49M41 68T07 35J60 35J30 35B65 35R30 35R25 PDF BibTeX XML Cite \textit{W. Tian} et al., Inverse Probl. 37, No. 8, Article ID 085004, 29 p. (2021; Zbl 1478.65109) Full Text: DOI arXiv OpenURL
Jiang, Meng-Jiao; Guo, Xue-Ping A new parameter-free method for Toeplitz systems of weakly nonlinear equations. (English) Zbl 1467.65026 J. Comput. Appl. Math. 393, Article ID 113505, 11 p. (2021). MSC: 65F10 65F50 65T50 65Y05 PDF BibTeX XML Cite \textit{M.-J. Jiang} and \textit{X.-P. Guo}, J. Comput. Appl. Math. 393, Article ID 113505, 11 p. (2021; Zbl 1467.65026) Full Text: DOI OpenURL
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 PDF BibTeX XML Cite \textit{F. Xing}, J. Comput. Appl. Math. 383, Article ID 113018, 12 p. (2021; Zbl 1456.65177) Full Text: DOI arXiv OpenURL
Seibold, Andreas S.; Leistner, Michael C.; Rixen, Daniel J. Localization of nonlinearities and recycling in dual domain decomposition. (English) Zbl 1502.65254 Haynes, Ronald (ed.) et al., Domain decomposition methods in science and engineering XXV. Selected papers based on the presentations at the 25th international conference on domain decomposition methods, Memorial University of Newfoundland, in St. John’s, Newfoundland and Labrador, Canada, July 23–27, 2018. Cham: Springer. Lect. Notes Comput. Sci. Eng. 138, 474-482 (2020). MSC: 65N55 65N30 65K05 65H05 65F08 65F10 65Y05 35Q74 PDF BibTeX XML Cite \textit{A. S. Seibold} et al., Lect. Notes Comput. Sci. Eng. 138, 474--482 (2020; Zbl 1502.65254) Full Text: DOI OpenURL
Gu, Yaguang; Kwok, Felix Optimized Schwarz-based nonlinear preconditioning for elliptic PDEs. (English) Zbl 07621552 Haynes, Ronald (ed.) et al., Domain decomposition methods in science and engineering XXV. Selected papers based on the presentations at the 25th international conference on domain decomposition methods, Memorial University of Newfoundland, in St. John’s, Newfoundland and Labrador, Canada, July 23–27, 2018. Cham: Springer. Lect. Notes Comput. Sci. Eng. 138, 260-267 (2020). MSC: 65N55 65N30 65K10 65F10 65F08 35J60 76S05 35Q35 PDF BibTeX XML Cite \textit{Y. Gu} and \textit{F. Kwok}, Lect. Notes Comput. Sci. Eng. 138, 260--267 (2020; Zbl 07621552) Full Text: DOI OpenURL
Bachmayr, Markus; Dahmen, Wolfgang Adaptive low-rank approximations for operator equations: accuracy control and computational complexity. (English) Zbl 1478.65105 Brenner, Susanne C. (ed.) et al., 75 years of mathematics of computation. Symposium celebrating 75 years of mathematics of computation, Institute for Computational and Experimental Research in Mathematics, ICERM, Providence, RI, USA, November 1–3, 2018. Providence, RI: American Mathematical Society (AMS). Contemp. Math. 754, 1-44 (2020). MSC: 65N12 41A46 41A63 42C10 65F08 65L70 65J10 65N15 PDF BibTeX XML Cite \textit{M. Bachmayr} and \textit{W. Dahmen}, Contemp. Math. 754, 1--44 (2020; Zbl 1478.65105) Full Text: DOI arXiv OpenURL
Li, Hongyi; Wang, Chaojie; Zhao, Di Preconditioning for PDE-constrained optimization with total variation regularization. (English) Zbl 1474.65065 Appl. Math. Comput. 386, Article ID 125470, 14 p. (2020). MSC: 65F08 65F10 65N55 15A18 90C30 PDF BibTeX XML Cite \textit{H. Li} et al., Appl. Math. Comput. 386, Article ID 125470, 14 p. (2020; Zbl 1474.65065) Full Text: DOI OpenURL
Heinlein, Alexander; Lanser, Martin Additive and hybrid nonlinear two-level Schwarz methods and energy minimizing coarse spaces for unstructured grids. (English) Zbl 1453.65428 SIAM J. Sci. Comput. 42, No. 4, A2461-A2488 (2020). Reviewer: Marius Ghergu (Dublin) MSC: 65N55 65F08 65F10 65H10 65H20 65N12 65N30 PDF BibTeX XML Cite \textit{A. Heinlein} and \textit{M. Lanser}, SIAM J. Sci. Comput. 42, No. 4, A2461--A2488 (2020; Zbl 1453.65428) Full Text: DOI OpenURL
Brenner, Konstantin Acceleration of Newton’s method using nonlinear Jacobi preconditioning. (English) Zbl 1454.65075 Klöfkorn, Robert (ed.) et al., Finite volumes for complex applications IX – methods, theoretical aspects, examples. FVCA 9, Bergen, Norway, June 15–19, 2020. In 2 volumes. Volume I and II. Cham: Springer. Springer Proc. Math. Stat. 323, 395-403 (2020). MSC: 65M08 65M22 65M06 65H10 65F08 76S05 PDF BibTeX XML Cite \textit{K. Brenner}, Springer Proc. Math. Stat. 323, 395--403 (2020; Zbl 1454.65075) Full Text: DOI HAL OpenURL
Deuflhard, Peter; Weiser, Martin Numerical mathematics 3: Adaptive numerical solution of partial differential equations. 2nd expanded edition. (Numerische Mathematik 3. Adaptive Lösung partieller Differentialgleichungen.) (German) Zbl 1451.65002 De Gruyter Studium. Berlin: De Gruyter (ISBN 978-3-11-069168-9/pbk; 978-3-11-068965-5/ebook). xvi, 456 p. (2020). MSC: 65-01 65N22 65M22 65M15 65M60 65N15 65N30 65N12 65F05 65F08 65N55 65N50 65N06 65N35 65Y15 35J05 35J60 35L05 35Q41 35Q30 35Q61 PDF BibTeX XML Cite \textit{P. Deuflhard} and \textit{M. Weiser}, Numerische Mathematik 3. Adaptive Lösung partieller Differentialgleichungen. 2nd expanded edition. Berlin: De Gruyter (2020; Zbl 1451.65002) Full Text: DOI OpenURL
Li, Meng; Huang, Chengming; Zhao, Yongliang Fast conservative numerical algorithm for the coupled fractional Klein-Gordon-Schrödinger equation. (English) Zbl 1442.65168 Numer. Algorithms 84, No. 3, 1081-1119 (2020). MSC: 65M06 65N30 65M12 65F10 65F08 65T50 15B05 26A33 35R11 35Q55 PDF BibTeX XML Cite \textit{M. Li} et al., Numer. Algorithms 84, No. 3, 1081--1119 (2020; Zbl 1442.65168) Full Text: DOI OpenURL
Zhao, Yong-Liang; Zhu, Pei-Yong; Gu, Xian-Ming; Zhao, Xi-Le; Jian, Huan-Yan A preconditioning technique for all-at-once system from the nonlinear tempered fractional diffusion equation. (English) Zbl 1435.65135 J. Sci. Comput. 83, No. 1, Paper No. 10, 27 p. (2020). MSC: 65M06 65H10 65F08 65F10 15B05 65M12 26A33 35R11 PDF BibTeX XML Cite \textit{Y.-L. Zhao} et al., J. Sci. Comput. 83, No. 1, Paper No. 10, 27 p. (2020; Zbl 1435.65135) Full Text: DOI arXiv OpenURL
Zheng, Hua; Li, Wen; Vong, Seakweng An iteration method for nonlinear complementarity problems. (English) Zbl 1493.65117 J. Comput. Appl. Math. 372, Article ID 112681, 11 p. (2020). MSC: 65K15 65F08 65F10 90C33 PDF BibTeX XML Cite \textit{H. Zheng} et al., J. Comput. Appl. Math. 372, Article ID 112681, 11 p. (2020; Zbl 1493.65117) Full Text: DOI OpenURL
Wang, Zeng-Qi; Yin, Jun-Feng; Dou, Quan-Yu Preconditioned modified Hermitian and skew-Hermitian splitting iteration methods for fractional nonlinear Schrödinger equations. (English) Zbl 1435.65054 J. Comput. Appl. Math. 367, Article ID 112420, 13 p. (2020). Reviewer: Bülent Karasözen (Ankara) MSC: 65F10 65F08 35Q55 35R11 PDF BibTeX XML Cite \textit{Z.-Q. Wang} et al., J. Comput. Appl. Math. 367, Article ID 112420, 13 p. (2020; Zbl 1435.65054) Full Text: DOI OpenURL
Yang, Haijian; Hwang, Feng-Nan A nonlinear elimination preconditioner for fully coupled space-time solution algorithm with applications to high-Rayleigh number thermal convective flow problems. (English) Zbl 1490.76077 Commun. Comput. Phys. 26, No. 3, 749-767 (2019). MSC: 76D05 65F08 49M15 65M55 68W10 PDF BibTeX XML Cite \textit{H. Yang} and \textit{F.-N. Hwang}, Commun. Comput. Phys. 26, No. 3, 749--767 (2019; Zbl 1490.76077) Full Text: DOI OpenURL
Zheng, Hua; Vong, Seakweng; Liu, Ling A direct preconditioned modulus-based iteration method for solving nonlinear complementarity problems of \(H\)-matrices. (English) Zbl 1429.65133 Appl. Math. Comput. 353, 396-405 (2019). MSC: 65K15 15A12 65F08 65F10 PDF BibTeX XML Cite \textit{H. Zheng} et al., Appl. Math. Comput. 353, 396--405 (2019; Zbl 1429.65133) Full Text: DOI OpenURL
Abdulle, Assyr; De Souza, Giacomo Rosilho A local discontinuous Galerkin gradient discretization method for linear and quasilinear elliptic equations. (English) Zbl 1448.65211 ESAIM, Math. Model. Numer. Anal. 53, No. 4, 1269-1303 (2019). Reviewer: Vit Dolejsi (Praha) MSC: 65N30 65N15 65Y20 74D10 35J62 65F10 65F08 65H10 PDF BibTeX XML Cite \textit{A. Abdulle} and \textit{G. R. De Souza}, ESAIM, Math. Model. Numer. Anal. 53, No. 4, 1269--1303 (2019; Zbl 1448.65211) Full Text: DOI arXiv OpenURL
Sun, Hongpeng Analysis of fully preconditioned alternating direction method of multipliers with relaxation in Hilbert spaces. (English) Zbl 1468.65075 J. Optim. Theory Appl. 183, No. 1, 199-229 (2019). MSC: 65K05 65J15 90C25 90C48 94A08 PDF BibTeX XML Cite \textit{H. Sun}, J. Optim. Theory Appl. 183, No. 1, 199--229 (2019; Zbl 1468.65075) Full Text: DOI OpenURL
Bergamaschi, L.; Facca, E.; Martínez, Á.; Putti, M. Spectral preconditioners for the efficient numerical solution of a continuous branched transport model. (English) Zbl 1419.65052 J. Comput. Appl. Math. 354, 259-270 (2019). MSC: 65M60 65M06 65N30 65F50 65F08 65F10 65F15 65H17 35Q90 90B06 49J20 PDF BibTeX XML Cite \textit{L. Bergamaschi} et al., J. Comput. Appl. Math. 354, 259--270 (2019; Zbl 1419.65052) Full Text: DOI OpenURL
Potschka, Andreas Backward step control for Hilbert space problems. (English) Zbl 1412.65039 Numer. Algorithms 81, No. 1, 151-180 (2019). MSC: 65J15 65F08 58C15 74S05 PDF BibTeX XML Cite \textit{A. Potschka}, Numer. Algorithms 81, No. 1, 151--180 (2019; Zbl 1412.65039) Full Text: DOI arXiv OpenURL
Rebholz, Leo G.; Viguerie, Alex; Xiao, Mengying Efficient nonlinear iteration schemes based on algebraic splitting for the incompressible Navier-Stokes equations. (English) Zbl 1416.65421 Math. Comput. 88, No. 318, 1533-1557 (2019). Reviewer: Abdallah Bradji (Annaba) MSC: 65N22 35Q30 65N30 65H10 65F08 65F10 76M10 76D05 PDF BibTeX XML Cite \textit{L. G. Rebholz} et al., Math. Comput. 88, No. 318, 1533--1557 (2019; Zbl 1416.65421) Full Text: DOI OpenURL
Backofen, Rainer; Wise, Steven M.; Salvalaglio, Marco; Voigt, Axel Convexity splitting in a phase field model for surface diffusion. (English) Zbl 1501.65063 Int. J. Numer. Anal. Model. 16, No. 2, 192-209 (2019). MSC: 65M60 65M06 65N30 65M15 35K25 35K55 65L06 65F10 65F08 76A20 35Q35 PDF BibTeX XML Cite \textit{R. Backofen} et al., Int. J. Numer. Anal. Model. 16, No. 2, 192--209 (2019; Zbl 1501.65063) Full Text: arXiv Link OpenURL
Borsos, B.; Karátson, J. Variable preconditioning for strongly nonlinear elliptic problems. (English) Zbl 1414.65033 J. Comput. Appl. Math. 350, 155-164 (2019). Reviewer: Dana Černá (Liberec) MSC: 65N30 47N20 35J60 65H10 65F08 PDF BibTeX XML Cite \textit{B. Borsos} and \textit{J. Karátson}, J. Comput. Appl. Math. 350, 155--164 (2019; Zbl 1414.65033) Full Text: DOI Link OpenURL
Baumann, Manuel; van Gijzen, Martin B. An efficient two-level preconditioner for multi-frequency wave propagation problems. (English) Zbl 1406.65104 Appl. Numer. Math. 135, 316-332 (2019). MSC: 65N30 65F10 65F08 74J30 35Q74 PDF BibTeX XML Cite \textit{M. Baumann} and \textit{M. B. van Gijzen}, Appl. Numer. Math. 135, 316--332 (2019; Zbl 1406.65104) Full Text: DOI OpenURL
Klawonn, Axel; Lanser, Martin; Rheinbach, Oliver; Uran, Matthias On the accuracy of the inner Newton iteration in nonlinear domain decomposition. (English) Zbl 1450.65170 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, 435-443 (2018). MSC: 65N55 65N30 65H10 65F08 65F10 PDF BibTeX XML Cite \textit{A. Klawonn} et al., Lect. Notes Comput. Sci. Eng. 125, 435--443 (2018; Zbl 1450.65170) 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
Morini, Benedetta On partial Cholesky factorization and a variant of quasi-Newton preconditioners for symmetric positive definite matrices. (English) Zbl 1432.90162 Axioms 7, No. 3, Paper No. 44, 14 p. (2018). MSC: 90C53 90C30 PDF BibTeX XML Cite \textit{B. Morini}, Axioms 7, No. 3, Paper No. 44, 14 p. (2018; Zbl 1432.90162) Full Text: DOI OpenURL
Ringh, Emil; Mele, Giampaolo; Karlsson, Johan; Jarlebring, Elias Sylvester-based preconditioning for the waveguide eigenvalue problem. (English) Zbl 1418.65050 Linear Algebra Appl. 542, 441-463 (2018). MSC: 65F15 65F08 65F10 65F30 15A24 35P30 PDF BibTeX XML Cite \textit{E. Ringh} et al., Linear Algebra Appl. 542, 441--463 (2018; Zbl 1418.65050) Full Text: DOI arXiv OpenURL
Feng, Wenqiang; Wang, Cheng; Wise, Steven M.; Zhang, Zhengru A second-order energy stable backward differentiation formula method for the epitaxial thin film equation with slope selection. (English) Zbl 1407.76095 Numer. Methods Partial Differ. Equations 34, No. 6, 1975-2007 (2018). MSC: 76M20 65M06 35Q35 76A20 65M12 65M15 49M15 PDF BibTeX XML Cite \textit{W. Feng} et al., Numer. Methods Partial Differ. Equations 34, No. 6, 1975--2007 (2018; Zbl 1407.76095) Full Text: DOI arXiv OpenURL
Klawonn, Axel; Lanser, Martin; Rheinbach, Oliver Nonlinear BDDC methods with approximate solvers. (English) Zbl 1410.65473 ETNA, Electron. Trans. Numer. Anal. 49, 244-273 (2018). MSC: 65N55 65F08 65Y05 74C05 65H10 65N30 PDF BibTeX XML Cite \textit{A. Klawonn} et al., ETNA, Electron. Trans. Numer. Anal. 49, 244--273 (2018; Zbl 1410.65473) Full Text: DOI Link OpenURL
Walther, Andrea; Kusch, Lisa; Gauger, Nicolas R. New results for the handling of additional equality constraints in one-shot optimization. (English) Zbl 1407.49038 Vietnam J. Math. 46, No. 4, 825-836 (2018). MSC: 49M15 65F08 90C30 PDF BibTeX XML Cite \textit{A. Walther} et al., Vietnam J. Math. 46, No. 4, 825--836 (2018; Zbl 1407.49038) Full Text: DOI OpenURL
Kusch, Lisa; Albring, T.; Walther, A.; Gauger, N. R. A one-shot optimization framework with additional equality constraints applied to multi-objective aerodynamic shape optimization. (English) Zbl 1397.90360 Optim. Methods Softw. 33, No. 4-6, 694-707 (2018). MSC: 90C30 65F08 65K05 PDF BibTeX XML Cite \textit{L. Kusch} et al., Optim. Methods Softw. 33, No. 4--6, 694--707 (2018; Zbl 1397.90360) Full Text: DOI OpenURL
Wang, Jun-Gang; Ran, Yu-Hong; Wang, Dong-Ling On structure preserving and circulant preconditioners for the space fractional coupled nonlinear Schrödinger equations. (English) Zbl 06945799 Numer. Linear Algebra Appl. 25, No. 4, e2159, 11 p. (2018). Reviewer: Bülent Karasözen (Ankara) MSC: 65F08 35Q55 35R11 65M06 PDF BibTeX XML Cite \textit{J.-G. Wang} et al., Numer. Linear Algebra Appl. 25, No. 4, e2159, 11 p. (2018; Zbl 06945799) Full Text: DOI OpenURL
Yang, Haijian; Hwang, Feng-Nan An adaptive nonlinear elimination preconditioned inexact Newton algorithm for highly local nonlinear multicomponent PDE systems. (English) Zbl 1397.65245 Appl. Numer. Math. 133, 100-115 (2018). MSC: 65N22 65H10 76D05 65F08 65F10 76H05 PDF BibTeX XML Cite \textit{H. Yang} and \textit{F.-N. Hwang}, Appl. Numer. Math. 133, 100--115 (2018; Zbl 1397.65245) Full Text: DOI OpenURL
Lei, Siu-Long; Wang, Wenfei; Chen, Xu; Ding, Deng A fast preconditioned penalty method for American options pricing under regime-switching tempered fractional diffusion models. (English) Zbl 1406.91484 J. Sci. Comput. 75, No. 3, 1633-1655 (2018). MSC: 91G60 26A33 65F08 65M06 91G20 60G40 60G51 65T50 PDF BibTeX XML Cite \textit{S.-L. Lei} et al., J. Sci. Comput. 75, No. 3, 1633--1655 (2018; Zbl 1406.91484) Full Text: DOI OpenURL
Zhang, Cheng; Huang, Jingfang; Wang, Cheng; Yue, Xingye On the operator splitting and integral equation preconditioned deferred correction methods for the “good” Boussinesq equation. (English) Zbl 1398.65167 J. Sci. Comput. 75, No. 2, 687-712 (2018). MSC: 65L05 65L20 34A34 65M70 65M12 35Q35 PDF BibTeX XML Cite \textit{C. Zhang} et al., J. Sci. Comput. 75, No. 2, 687--712 (2018; Zbl 1398.65167) Full Text: DOI OpenURL
Ahmad, Fayyaz; Ullah, Malik Zaka; Ahmad, Shamshad; Alshomrani, Ali Saleh; Alqahtani, Aisha M.; Alzaben, L. Multi-step preconditioned Newton methods for solving systems of nonlinear equations. (English) Zbl 1444.65021 S\(\vec{\text{e}}\)MA J. 75, No. 1, 127-137 (2018). MSC: 65H10 PDF BibTeX XML Cite \textit{F. Ahmad} et al., S\(\vec{\text{e}}\)MA J. 75, No. 1, 127--137 (2018; Zbl 1444.65021) Full Text: DOI OpenURL
Ahmad, Fayyaz Multi-step derivative-free preconditioned Newton method for solving systems of nonlinear equations. (English) Zbl 1444.65020 S\(\vec{\text{e}}\)MA J. 75, No. 1, 45-56 (2018). MSC: 65H10 65H20 PDF BibTeX XML Cite \textit{F. Ahmad}, S\(\vec{\text{e}}\)MA J. 75, No. 1, 45--56 (2018; Zbl 1444.65020) Full Text: DOI Link OpenURL
Demyanko, Kirill V.; Nechepurenko, Yuri M. A block Newton’s method for computing invariant pairs of nonlinear matrix pencils. (English) Zbl 1392.65089 Russ. J. Numer. Anal. Math. Model. 33, No. 1, 15-23 (2018). MSC: 65F15 65F10 65F08 PDF BibTeX XML Cite \textit{K. V. Demyanko} and \textit{Y. M. Nechepurenko}, Russ. J. Numer. Anal. Math. Model. 33, No. 1, 15--23 (2018; Zbl 1392.65089) Full Text: DOI OpenURL
Smears, Iain Nonoverlapping domain decomposition preconditioners for discontinuous Galerkin approximations of Hamilton-Jacobi-Bellman equations. (English) Zbl 1385.65026 J. Sci. Comput. 74, No. 1, 145-174 (2018). Reviewer: Constantin Popa (Constanţa) MSC: 65F08 65F10 65N22 65N55 65N30 35J66 35F21 PDF BibTeX XML Cite \textit{I. Smears}, J. Sci. Comput. 74, No. 1, 145--174 (2018; Zbl 1385.65026) Full Text: DOI arXiv OpenURL
Ahmad, Fayyaz; Bhutta, Toseef Akhter; Shoaib, Umar; Zaka Ullah, Malik; Alshomrani, Ali Saleh; Ahmad, Shamshad; Ahmad, Shahid A preconditioned iterative method for solving systems of nonlinear equations having unknown multiplicity. (English) Zbl 1461.65082 Algorithms (Basel) 10, No. 1, Paper No. 17, 9 p. (2017). MSC: 65H10 PDF BibTeX XML Cite \textit{F. Ahmad} et al., Algorithms (Basel) 10, No. 1, Paper No. 17, 9 p. (2017; Zbl 1461.65082) Full Text: DOI OpenURL
Li, Cui-Xia A preconditioned AOR iterative method for the absolute value equations. (English) Zbl 1404.65052 Int. J. Comput. Methods 14, No. 2, Article ID 1750016, 12 p. (2017). MSC: 65K05 65F10 65F08 90C05 90C30 PDF BibTeX XML Cite \textit{C.-X. Li}, Int. J. Comput. Methods 14, No. 2, Article ID 1750016, 12 p. (2017; Zbl 1404.65052) Full Text: DOI OpenURL
Jia, Lueling; Chen, Huanzhen; Wang, Hong Mixed-type Galerkin variational principle and numerical simulation for a generalized nonlocal elastic model. (English) Zbl 1456.65161 J. Sci. Comput. 71, No. 2, 660-681 (2017). MSC: 65N30 65N15 65F08 65F10 65N35 45B05 65R20 74B20 35Q74 35R11 PDF BibTeX XML Cite \textit{L. Jia} et al., J. Sci. Comput. 71, No. 2, 660--681 (2017; Zbl 1456.65161) Full Text: DOI OpenURL
Whiteley, Jonathan P. A preconditioner for the finite element computation of incompressible, nonlinear elastic deformations. (English) Zbl 1386.74145 Comput. Mech. 60, No. 4, 683-692 (2017). MSC: 74S05 74B20 65F08 65N22 65N30 PDF BibTeX XML Cite \textit{J. P. Whiteley}, Comput. Mech. 60, No. 4, 683--692 (2017; Zbl 1386.74145) Full Text: DOI OpenURL
Feng, Wenqiang; Salgado, Abner J.; Wang, Cheng; Wise, Steven M. Preconditioned steepest descent methods for some nonlinear elliptic equations involving p-Laplacian terms. (English) Zbl 1375.35149 J. Comput. Phys. 334, 45-67 (2017). MSC: 35J30 65N12 49M15 PDF BibTeX XML Cite \textit{W. Feng} et al., J. Comput. Phys. 334, 45--67 (2017; Zbl 1375.35149) Full Text: DOI arXiv OpenURL
Pearson, John W.; Gondzio, Jacek Fast interior point solution of quadratic programming problems arising from PDE-constrained optimization. (English) Zbl 1379.65042 Numer. Math. 137, No. 4, 959-999 (2017). Reviewer: Nada Djuranović-Miličić (Belgrade) MSC: 65K10 65F08 93C20 90C20 90C51 49J20 49M37 49M15 PDF BibTeX XML Cite \textit{J. W. Pearson} and \textit{J. Gondzio}, Numer. Math. 137, No. 4, 959--999 (2017; Zbl 1379.65042) Full Text: DOI OpenURL
Klawonn, Axel; Lanser, Martin; Rheinbach, Oliver; Uran, Matthias Nonlinear FETI-DP and BDDC methods: a unified framework and parallel results. (English) Zbl 1377.65163 SIAM J. Sci. Comput. 39, No. 6, C417-C451 (2017). MSC: 65N55 65F08 65Y05 35J60 PDF BibTeX XML Cite \textit{A. Klawonn} et al., SIAM J. Sci. Comput. 39, No. 6, C417--C451 (2017; Zbl 1377.65163) Full Text: DOI OpenURL
Reisinger, Christoph; Rotaetxe Arto, Julen Boundary treatment and multigrid preconditioning for semi-Lagrangian schemes applied to Hamilton-Jacobi-Bellman equations. (English) Zbl 1371.65085 J. Sci. Comput. 72, No. 1, 198-230 (2017). MSC: 65M06 35F21 49L25 65M12 65M55 65F08 PDF BibTeX XML Cite \textit{C. Reisinger} and \textit{J. Rotaetxe Arto}, J. Sci. Comput. 72, No. 1, 198--230 (2017; Zbl 1371.65085) Full Text: DOI arXiv OpenURL
Gander, Martin J. On the origins of linear and non-linear preconditioning. (English) Zbl 1367.65042 Lee, Chang-Ock (ed.) et al., Domain decomposition methods in science and engineering XXIII. Proceedings of the 23rd international conference, Jeju Island, Korea, July 6–10, 2015. Cham: Springer (ISBN 978-3-319-52388-0/hbk; 978-3-319-52389-7/ebook). Lecture Notes in Computational Science and Engineering 116, 153-161 (2017). MSC: 65F08 65F10 65N55 PDF BibTeX XML Cite \textit{M. J. Gander}, Lect. Notes Comput. Sci. Eng. 116, 153--161 (2017; Zbl 1367.65042) Full Text: DOI OpenURL
Figueras, Jordi-Lluís; Gameiro, Marcio; Lessard, Jean-Philippe; de la Llave, Rafael A framework for the numerical computation and a posteriori verification of invariant objects of evolution equations. (English) Zbl 1370.65046 SIAM J. Appl. Dyn. Syst. 16, No. 2, 1070-1088 (2017). MSC: 65M22 35K55 37C27 65G40 65F08 PDF BibTeX XML Cite \textit{J.-L. Figueras} et al., SIAM J. Appl. Dyn. Syst. 16, No. 2, 1070--1088 (2017; Zbl 1370.65046) Full Text: DOI arXiv OpenURL
Klein, Christian; McLaughlin, Kenneth D. T-R Spectral approach to D-bar problems. (English) Zbl 1381.78003 Commun. Pure Appl. Math. 70, No. 6, 1052-1083 (2017). Reviewer: Hongpeng Sun (Beijing) MSC: 78A05 78M22 35Q55 37K10 78M35 65N12 65F10 65F08 78A46 PDF BibTeX XML Cite \textit{C. Klein} and \textit{K. D. T R McLaughlin}, Commun. Pure Appl. Math. 70, No. 6, 1052--1083 (2017; Zbl 1381.78003) Full Text: DOI arXiv OpenURL
Calandra, H.; Gratton, S.; Vasseur, X. A geometric multigrid preconditioner for the solution of the Helmholtz equation in three-dimensional heterogeneous media on massively parallel computers. (English) Zbl 1364.86008 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, 141-155 (2017). MSC: 86-08 65F08 74J30 65Y05 74S30 74C10 86A15 86A60 PDF BibTeX XML Cite \textit{H. Calandra} et al., in: Modern solvers for Helmholtz problems. Basel: Birkhäuser/Springer. 141--155 (2017; Zbl 1364.86008) Full Text: DOI OpenURL
Andrea, Caliciotti; Giovanni, Fasano; Massimo, Roma Novel preconditioners based on quasi-Newton updates for nonlinear conjugate gradient methods. (English) Zbl 1367.90091 Optim. Lett. 11, No. 4, 835-853 (2017). MSC: 90C26 90C06 PDF BibTeX XML Cite \textit{C. Andrea} et al., Optim. Lett. 11, No. 4, 835--853 (2017; Zbl 1367.90091) Full Text: DOI OpenURL
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 PDF BibTeX XML Cite \textit{C. Besse} and \textit{F. Xing}, Numer. Algorithms 74, No. 2, 393--426 (2017; Zbl 1359.65187) Full Text: DOI arXiv OpenURL
Brachet, Matthieu; Chehab, Jean-Paul Stabilized times schemes for high accurate finite differences solutions of nonlinear parabolic equations. (English) Zbl 1378.65157 J. Sci. Comput. 69, No. 3, 946-982 (2016). Reviewer: Gisbert Stoyan (Budapest) MSC: 65M06 65F08 65M12 76D05 35K55 65-02 76M20 PDF BibTeX XML Cite \textit{M. Brachet} and \textit{J.-P. Chehab}, J. Sci. Comput. 69, No. 3, 946--982 (2016; Zbl 1378.65157) Full Text: DOI arXiv OpenURL
Qu, Wenzhen; Brandon, Namdi; Chen, Dangxing; Huang, Jingfang; Kress, Tyler A numerical framework for integrating deferred correction methods to solve high order collocation formulations of ODEs. (English) Zbl 1371.65072 J. Sci. Comput. 68, No. 2, 484-520 (2016). MSC: 65L60 65L05 34A34 65L20 PDF BibTeX XML Cite \textit{W. Qu} et al., J. Sci. Comput. 68, No. 2, 484--520 (2016; Zbl 1371.65072) Full Text: DOI OpenURL
Fasano, Giovanni; Roma, Massimo A novel class of approximate inverse preconditioners for large positive definite linear systems in optimization. (English) Zbl 1369.90166 Comput. Optim. Appl. 65, No. 2, 399-429 (2016). MSC: 90C30 PDF BibTeX XML Cite \textit{G. Fasano} and \textit{M. Roma}, Comput. Optim. Appl. 65, No. 2, 399--429 (2016; Zbl 1369.90166) Full Text: DOI OpenURL
Lu, Jianfeng; Ying, Lexing Sparsifying preconditioner for soliton calculations. (English) Zbl 1349.65606 J. Comput. Phys. 315, 458-466 (2016). MSC: 65N25 65F08 35C08 35J91 35Q55 65N22 PDF BibTeX XML Cite \textit{J. Lu} and \textit{L. Ying}, J. Comput. Phys. 315, 458--466 (2016; Zbl 1349.65606) Full Text: DOI arXiv OpenURL
Bosse, Torsten Augmenting the one-shot framework by additional constraints. (English) Zbl 1351.49041 Optim. Methods Softw. 31, No. 6, 1132-1148 (2016). MSC: 49M37 49M05 65F08 65F15 90C30 PDF BibTeX XML Cite \textit{T. Bosse}, Optim. Methods Softw. 31, No. 6, 1132--1148 (2016; Zbl 1351.49041) Full Text: DOI Link OpenURL
Dolean, V.; Gander, M. J.; Kheriji, W.; Kwok, F.; Masson, R. Nonlinear preconditioning: how to use a nonlinear Schwarz method to precondition Newton’s method. (English) Zbl 1352.65326 SIAM J. Sci. Comput. 38, No. 6, A3357-A3380 (2016). MSC: 65M55 65F08 35K55 65Y05 PDF BibTeX XML Cite \textit{V. Dolean} et al., SIAM J. Sci. Comput. 38, No. 6, A3357--A3380 (2016; Zbl 1352.65326) Full Text: DOI arXiv OpenURL
Xu, Wei; Zheng, Ning; Hayami, Ken Jacobian-free implicit inner-iteration preconditioner for nonlinear least squares problems. (English) Zbl 1352.65158 J. Sci. Comput. 68, No. 3, 1055-1081 (2016). MSC: 65K05 90C20 65D25 90C51 90C53 65F08 PDF BibTeX XML Cite \textit{W. Xu} et al., J. Sci. Comput. 68, No. 3, 1055--1081 (2016; Zbl 1352.65158) Full Text: DOI OpenURL
Liu, Lulu; Keyes, David E. Convergence analysis for the multiplicative Schwarz preconditioned inexact Newton algorithm. (English) Zbl 1352.65142 SIAM J. Numer. Anal. 54, No. 5, 3145-3166 (2016). MSC: 65H10 65F08 PDF BibTeX XML Cite \textit{L. Liu} and \textit{D. E. Keyes}, SIAM J. Numer. Anal. 54, No. 5, 3145--3166 (2016; Zbl 1352.65142) Full Text: DOI OpenURL
Kočvara, Michal; Mohammed, Sudaba Primal-dual interior point multigrid method for topology optimization. (English) Zbl 1348.65093 SIAM J. Sci. Comput. 38, No. 5, B685-B709 (2016). MSC: 65K05 90C06 90C51 90C30 65F08 35Q93 PDF BibTeX XML Cite \textit{M. Kočvara} and \textit{S. Mohammed}, SIAM J. Sci. Comput. 38, No. 5, B685--B709 (2016; Zbl 1348.65093) Full Text: DOI arXiv OpenURL
Yang, Haijian; Yang, Chao; Sun, Shuyu Active-set reduced-space methods with nonlinear elimination for two-phase flow problems in porous media. (English) Zbl 1383.76384 SIAM J. Sci. Comput. 38, No. 4, B593-B618 (2016). MSC: 76M25 76S05 65K15 65Y05 76Txx PDF BibTeX XML Cite \textit{H. Yang} et al., SIAM J. Sci. Comput. 38, No. 4, B593--B618 (2016; Zbl 1383.76384) Full Text: DOI OpenURL
Szyld, Daniel B.; Xue, Fei Preconditioned eigensolvers for large-scale nonlinear Hermitian eigenproblems with variational characterizations. I: Extreme eigenvalues. (English) Zbl 1344.65045 Math. Comput. 85, No. 302, 2887-2918 (2016). MSC: 65F15 65F08 PDF BibTeX XML Cite \textit{D. B. Szyld} and \textit{F. Xue}, Math. Comput. 85, No. 302, 2887--2918 (2016; Zbl 1344.65045) Full Text: DOI OpenURL
Huang, Jizu; Yang, Chao; Cai, Xiao-Chuan A nonlinearly preconditioned inexact Newton algorithm for steady state lattice Boltzmann equations. (English) Zbl 1339.65236 SIAM J. Sci. Comput. 38, No. 3, A1701-A1724 (2016). MSC: 65N55 35Q20 65Y05 65F08 PDF BibTeX XML Cite \textit{J. Huang} et al., SIAM J. Sci. Comput. 38, No. 3, A1701--A1724 (2016; Zbl 1339.65236) Full Text: DOI OpenURL
De Sterck, Hans; Howse, Alexander Nonlinearly preconditioned optimization on Grassmann manifolds for computing approximate Tucker tensor decompositions. (English) Zbl 1382.65183 SIAM J. Sci. Comput. 38, No. 2, A997-A1018 (2016). MSC: 65K10 15A69 49M37 65F10 53B20 65F08 PDF BibTeX XML Cite \textit{H. De Sterck} and \textit{A. Howse}, SIAM J. Sci. Comput. 38, No. 2, A997--A1018 (2016; Zbl 1382.65183) Full Text: DOI OpenURL
Kong, Fande; Cai, Xiao-Chuan A highly scalable multilevel Schwarz method with boundary geometry preserving coarse spaces for 3D elasticity problems on domains with complex geometry. (English) Zbl 1380.65404 SIAM J. Sci. Comput. 38, No. 2, C73-C95 (2016). MSC: 65N55 65F08 65F10 65N22 65N30 65N50 65Y05 PDF BibTeX XML Cite \textit{F. Kong} and \textit{X.-C. Cai}, SIAM J. Sci. Comput. 38, No. 2, C73--C95 (2016; Zbl 1380.65404) Full Text: DOI OpenURL
White, Robert E. Computational mathematics. Models, methods, and analysis with MATLAB and MPI. 2nd edition. (English) Zbl 1336.65002 Textbooks in Mathematics. Boca Raton, FL: CRC Press (ISBN 978-1-4822-3515-9/hbk; 978-1-4822-3517-3/ebook). xxii, 476 p. (2016). Reviewer: Liu Xinguo (Qingdao) MSC: 65-01 65Fxx 65Y05 65Y15 35K05 35J05 35L05 65M06 65N06 76M20 65D18 94A08 91G60 68W30 92D30 76B15 PDF BibTeX XML Cite \textit{R. E. White}, Computational mathematics. Models, methods, and analysis with MATLAB and MPI. 2nd edition. Boca Raton, FL: CRC Press (2016; Zbl 1336.65002) OpenURL
Pavarino, L. F.; Scacchi, S.; Zampini, S. Newton-Krylov-BDDC solvers for nonlinear cardiac mechanics. (English) Zbl 1423.74913 Comput. Methods Appl. Mech. Eng. 295, 562-580 (2015). MSC: 74S05 92C10 65M60 74B20 74L15 PDF BibTeX XML Cite \textit{L. F. Pavarino} et al., Comput. Methods Appl. Mech. Eng. 295, 562--580 (2015; Zbl 1423.74913) Full Text: DOI OpenURL
Tuckerman, Laurette S. Laplacian preconditioning for the inverse Arnoldi method. (English) Zbl 1388.65029 Commun. Comput. Phys. 18, No. 5, 1336-1351 (2015). MSC: 65F08 37M20 65F18 65P10 76M25 76E07 65P30 82B80 35Q55 PDF BibTeX XML Cite \textit{L. S. Tuckerman}, Commun. Comput. Phys. 18, No. 5, 1336--1351 (2015; Zbl 1388.65029) Full Text: DOI Link OpenURL
Simmons, Alex; Yang, Qianqian; Moroney, Timothy A preconditioned numerical solver for stiff nonlinear reaction-diffusion equations with fractional Laplacians that avoids dense matrices. (English) Zbl 1352.65265 J. Comput. Phys. 287, 254-268 (2015). MSC: 65M06 65F08 65M12 65M22 35R11 PDF BibTeX XML Cite \textit{A. Simmons} et al., J. Comput. Phys. 287, 254--268 (2015; Zbl 1352.65265) Full Text: DOI OpenURL
Du, Ning; Wang, Hong; Wang, Che A fast method for a generalized nonlocal elastic model. (English) Zbl 1349.76455 J. Comput. Phys. 297, 72-83 (2015). MSC: 76M20 65N06 35Q74 65N35 74B20 PDF BibTeX XML Cite \textit{N. Du} et al., J. Comput. Phys. 297, 72--83 (2015; Zbl 1349.76455) Full Text: DOI 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
Brune, Peter R.; Knepley, Matthew G.; Smith, Barry F.; Tu, Xuemin Composing scalable nonlinear algebraic solvers. (English) Zbl 1336.65030 SIAM Rev. 57, No. 4, 535-565 (2015). MSC: 65F08 65Y05 65Y20 68W10 PDF BibTeX XML Cite \textit{P. R. Brune} et al., SIAM Rev. 57, No. 4, 535--565 (2015; Zbl 1336.65030) Full Text: DOI arXiv OpenURL
Ulbrich, Stefan Preconditioners based on “parareal” time-domain decomposition for time-dependent PDE-constrained optimization. (English) Zbl 1337.65057 Carraro, Thomas (ed.) et al., Multiple shooting and time domain decomposition methods. MuS-TDD, Heidelberg, Germany, May 6–8, 2013. Cham: Springer (ISBN 978-3-319-23320-8/hbk; 978-3-319-23321-5/ebook). Contributions in Mathematical and Computational Sciences 9, 203-232 (2015). MSC: 65K10 49J20 49M37 65F08 65Y05 49M15 PDF BibTeX XML Cite \textit{S. Ulbrich}, Contrib. Math. Comput. Sci. 9, 203--232 (2015; Zbl 1337.65057) Full Text: DOI OpenURL
Potschka, Andreas Direct multiple shooting for parabolic PDE constrained optimization. (English) Zbl 1337.65054 Carraro, Thomas (ed.) et al., Multiple shooting and time domain decomposition methods. MuS-TDD, Heidelberg, Germany, May 6–8, 2013. Cham: Springer (ISBN 978-3-319-23320-8/hbk; 978-3-319-23321-5/ebook). Contributions in Mathematical and Computational Sciences 9, 159-181 (2015). MSC: 65K10 49J20 49M37 92B10 65F08 49M15 PDF BibTeX XML Cite \textit{A. Potschka}, Contrib. Math. Comput. Sci. 9, 159--181 (2015; Zbl 1337.65054) Full Text: DOI OpenURL
De Sterck, Hans; Winlaw, Manda A nonlinearly preconditioned conjugate gradient algorithm for rank-\(R\) canonical tensor approximation. (English) Zbl 1363.65041 Numer. Linear Algebra Appl. 22, No. 3, 410-432 (2015). MSC: 65F08 65F10 15A69 PDF BibTeX XML Cite \textit{H. De Sterck} and \textit{M. Winlaw}, Numer. Linear Algebra Appl. 22, No. 3, 410--432 (2015; Zbl 1363.65041) Full Text: DOI arXiv OpenURL
Szyld, Daniel B.; Vecharynski, Eugene; Xue, Fei Preconditioned eigensolvers for large-scale nonlinear Hermitian eigenproblems with variational characterizations. II. Interior eigenvalues. (English) Zbl 1329.65108 SIAM J. Sci. Comput. 37, No. 6, A2969-A2997 (2015). MSC: 65H17 65F08 PDF BibTeX XML Cite \textit{D. B. Szyld} et al., SIAM J. Sci. Comput. 37, No. 6, A2969--A2997 (2015; Zbl 1329.65108) Full Text: DOI arXiv OpenURL
Gaul, André; Schlömer, Nico Preconditioned recycling Krylov subspace methods for self-adjoint problems. (English) Zbl 1327.65059 ETNA, Electron. Trans. Numer. Anal. 44, 522-547 (2015). MSC: 65F10 65F08 35Q55 35Q56 PDF BibTeX XML Cite \textit{A. Gaul} and \textit{N. Schlömer}, ETNA, Electron. Trans. Numer. Anal. 44, 522--547 (2015; Zbl 1327.65059) Full Text: arXiv EMIS OpenURL
Lott, P. Aaron; Woodward, Carol S.; Evans, Katherine J. Algorithmically scalable block preconditioner for fully implicit shallow-water equations in CAM-SE. (English) Zbl 1330.86007 Comput. Geosci. 19, No. 1, 49-61 (2015). MSC: 86A10 86-08 65F08 76B15 35Q35 76M25 PDF BibTeX XML Cite \textit{P. A. Lott} et al., Comput. Geosci. 19, No. 1, 49--61 (2015; Zbl 1330.86007) Full Text: DOI Link OpenURL
Isaac, Tobin; Stadler, Georg; Ghattas, Omar Solution of nonlinear Stokes equations discretized by high-order finite elements on nonconforming and anisotropic meshes, with application to ice sheet dynamics. (English) Zbl 1327.65242 SIAM J. Sci. Comput. 37, No. 6, B804-B833 (2015). MSC: 65N30 65N55 76A05 65F08 49M15 PDF BibTeX XML Cite \textit{T. Isaac} et al., SIAM J. Sci. Comput. 37, No. 6, B804--B833 (2015; Zbl 1327.65242) Full Text: DOI arXiv OpenURL
Bosch, Jessica; Stoll, Martin Preconditioning for vector-valued Cahn-Hilliard equations. (English) Zbl 1325.65043 SIAM J. Sci. Comput. 37, No. 5, S216-S243 (2015). MSC: 65F08 65F10 35K55 35R35 65N22 65F50 PDF BibTeX XML Cite \textit{J. Bosch} and \textit{M. Stoll}, SIAM J. Sci. Comput. 37, No. 5, S216--S243 (2015; Zbl 1325.65043) Full Text: DOI OpenURL
Muthsam, H. Book review of: P. Deuflhard and M. Weiser, Adaptive numerical solution of PDEs. (English) Zbl 1321.00055 Monatsh. Math. 177, No. 4, 660 (2015). MSC: 00A17 65N22 65M22 65-02 65M15 65M60 65N15 65N30 65N12 65F05 65F08 65N55 65N50 65N06 65N35 65Y15 35J05 35J60 35L05 35Q41 35Q30 35Q61 PDF BibTeX XML Cite \textit{H. Muthsam}, Monatsh. Math. 177, No. 4, 660 (2015; Zbl 1321.00055) OpenURL
Zhong, Hong-Xiu; Chen, Guo-Liang; Guo, Xue-Ping On preconditioned modified Newton-MHSS method for systems of nonlinear equations with complex symmetric Jacobian matrices. (English) Zbl 1323.65055 Numer. Algorithms 69, No. 3, 553-567 (2015). Reviewer: T. C. Mohan (Chennai) MSC: 65H10 65F08 PDF BibTeX XML Cite \textit{H.-X. Zhong} et al., Numer. Algorithms 69, No. 3, 553--567 (2015; Zbl 1323.65055) Full Text: DOI OpenURL
Turner, James; Kočvara, Michal; Loghin, Daniel A nonlinear domain decomposition technique for scalar elliptic PDEs. (English) Zbl 1382.65455 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, 869-877 (2014). MSC: 65N55 35J60 65F08 PDF BibTeX XML Cite \textit{J. Turner} et al., Lect. Notes Comput. Sci. Eng. 98, 869--877 (2014; Zbl 1382.65455) Full Text: DOI OpenURL
Bruss, Don E.; Morel, Jim E.; Ragusa, Jean C. \(S_{2}SA\) preconditioning for the \(S_n\) equations with strictly nonnegative spatial discretization. (English) Zbl 1352.65097 J. Comput. Phys. 273, 706-719 (2014). MSC: 65F08 65N22 65N30 PDF BibTeX XML Cite \textit{D. E. Bruss} et al., J. Comput. Phys. 273, 706--719 (2014; Zbl 1352.65097) Full Text: DOI OpenURL
Hinze, Michael; Köster, Michael; Turek, Stefan Space-time Newton-multigrid strategies for nonstationary distributed and boundary flow control problems. (English) Zbl 1327.49044 Leugering, Günter (ed.) et al., Trends in PDE constrained optimization. Cham: Birkhäuser/Springer (ISBN 978-3-319-05082-9/hbk; 978-3-319-05083-6/ebook). ISNM. International Series of Numerical Mathematics 165, 383-401 (2014). MSC: 49M15 76D55 35Q30 49K20 49M05 49M29 49M37 65F08 65F10 65K05 65M55 65M60 65R20 65R32 76D05 90C06 90C30 PDF BibTeX XML Cite \textit{M. Hinze} et al., ISNM, Int. Ser. Numer. Math. 165, 383--401 (2014; Zbl 1327.49044) Full Text: DOI OpenURL
Martynova, Tatiana S. On an augmented Lagrangian method for saddle-point linear systems with singular or semidefinite (1,1) blocks. (English) Zbl 1313.65156 J. Comput. Math. 32, No. 3, 297-305 (2014). MSC: 65K05 65F10 65F50 90C30 65F08 PDF BibTeX XML Cite \textit{T. S. Martynova}, J. Comput. Math. 32, No. 3, 297--305 (2014; Zbl 1313.65156) Full Text: DOI OpenURL