Hosseini, Shahram; Navabi, M.; Hajarian, Masoud A robust meta-heuristic adaptive Bi-CGSTAB algorithm to online estimation of a three DoF state-space model in the presence of disturbance and uncertainty. (English) Zbl 1498.93715 Int. J. Syst. Sci., Princ. Appl. Syst. Integr. 53, No. 4, 833-850 (2022). MSC: 93E10 93E11 93B35 93C40 PDF BibTeX XML Cite \textit{S. Hosseini} et al., Int. J. Syst. Sci., Princ. Appl. Syst. Integr. 53, No. 4, 833--850 (2022; Zbl 1498.93715) Full Text: DOI
Parveen, Rujda; Mahapatra, Tapas Ray Heat and mass source effect on MHD double-diffusive mixed convection and entropy generation in a curved enclosure filled with nanofluid. (English) Zbl 1512.76103 Nonlinear Anal., Model. Control 27, No. 2, 308-330 (2022). MSC: 76R05 76R10 76W05 76T20 76M20 80A19 PDF BibTeX XML Cite \textit{R. Parveen} and \textit{T. R. Mahapatra}, Nonlinear Anal., Model. Control 27, No. 2, 308--330 (2022; Zbl 1512.76103) Full Text: DOI
Buranay, S. C.; Iyikal, O. C. Incomplete block-matrix factorization of \(M\)-matrices using two-step iterative method for matrix inversion and preconditioning. (English) Zbl 1490.65048 Math. Methods Appl. Sci. 44, No. 9, 7634-7650 (2021). MSC: 65F10 65F08 65F50 PDF BibTeX XML Cite \textit{S. C. Buranay} and \textit{O. C. Iyikal}, Math. Methods Appl. Sci. 44, No. 9, 7634--7650 (2021; Zbl 1490.65048) Full Text: DOI
Aihara, Kensuke GPBi-CGstab(\(L\)): a Lanczos-type product method unifying Bi-CGstab(\(L\)) and GPBi-CG. (English) Zbl 07217206 Numer. Linear Algebra Appl. 27, No. 3, e2298, 22 p. (2020). MSC: 65F10 65F50 15A06 PDF BibTeX XML Cite \textit{K. Aihara}, Numer. Linear Algebra Appl. 27, No. 3, e2298, 22 p. (2020; Zbl 07217206) Full Text: DOI
Miyatake, Yuto; Nakagawa, Tai; Sogabe, Tomohiro; Zhang, Shao-Liang A structure-preserving Fourier pseudo-spectral linearly implicit scheme for the space-fractional nonlinear Schrödinger equation. (English) Zbl 1434.65207 J. Comput. Dyn. 6, No. 2, 361-383 (2019). MSC: 65M70 65F08 65N22 65M06 65F10 35R11 35Q91 81S40 PDF BibTeX XML Cite \textit{Y. Miyatake} et al., J. Comput. Dyn. 6, No. 2, 361--383 (2019; Zbl 1434.65207) Full Text: DOI arXiv
Tselepidis, N. A.; Filelis-Papadopoulos, C. K.; Gravvanis, G. A. Distributed algebraic tearing and interconnecting techniques. (English) Zbl 07128067 Numer. Algorithms 82, No. 3, 809-842 (2019). MSC: 65-XX PDF BibTeX XML Cite \textit{N. A. Tselepidis} et al., Numer. Algorithms 82, No. 3, 809--842 (2019; Zbl 07128067) Full Text: DOI
Fu, Hongfei; Wang, Hong A preconditioned fast parareal finite difference method for space-time fractional partial differential equation. (English) Zbl 1415.65190 J. Sci. Comput. 78, No. 3, 1724-1743 (2019). MSC: 65M06 35R11 65F08 65F10 65M12 65T50 65Y05 PDF BibTeX XML Cite \textit{H. Fu} and \textit{H. Wang}, J. Sci. Comput. 78, No. 3, 1724--1743 (2019; Zbl 1415.65190) Full Text: DOI
Uh Zapata, M.; Pham Van Bang, D.; Nguyen, K. D. Parallel simulations for a 2D \(x/z\) two-phase flow fluid-solid particle model. (English) Zbl 1410.76269 Comput. Fluids 173, 103-110 (2018). MSC: 76M12 76T20 65M08 PDF BibTeX XML Cite \textit{M. Uh Zapata} et al., Comput. Fluids 173, 103--110 (2018; Zbl 1410.76269) Full Text: DOI
Feng, L. B.; Zhuang, P.; Liu, F.; Turner, I.; Anh, V.; Li, J. A fast second-order accurate method for a two-sided space-fractional diffusion equation with variable coefficients. (English) Zbl 1412.65072 Comput. Math. Appl. 73, No. 6, 1155-1171 (2017). MSC: 65M06 65M12 35R11 65F10 PDF BibTeX XML Cite \textit{L. B. Feng} et al., Comput. Math. Appl. 73, No. 6, 1155--1171 (2017; Zbl 1412.65072) Full Text: DOI
Wei, Anhua; Wu, Qianqian; Zhu, Zuojin Numerical solution to the Poisson equation under the spherical coordinate system with Bi-CGSTAB method. (Chinese. English summary) Zbl 1399.65008 J. Univ. Sci. Technol. China 47, No. 8, 695-698 (2017). MSC: 65C20 76M25 PDF BibTeX XML Cite \textit{A. Wei} et al., J. Univ. Sci. Technol. China 47, No. 8, 695--698 (2017; Zbl 1399.65008) Full Text: DOI
Filelis-Papadopoulos, Christos K.; Gravvanis, George A. On the multigrid method based on finite difference approximate inverses. (English) Zbl 1357.65296 CMES, Comput. Model. Eng. Sci. 90, No. 3, 233-253 (2013). MSC: 65N55 65F10 PDF BibTeX XML Cite \textit{C. K. Filelis-Papadopoulos} and \textit{G. A. Gravvanis}, CMES, Comput. Model. Eng. Sci. 90, No. 3, 233--253 (2013; Zbl 1357.65296) Full Text: DOI
Panchatcharam, M.; Sundar, S.; Vetrivel, V.; Klar, A.; Tiwari, S. GPU computing for meshfree particle method. (English) Zbl 1463.65452 Int. J. Numer. Anal. Model., Ser. B 4, No. 4, 394-412 (2013). MSC: 65Y05 65Y20 35Q30 76D05 PDF BibTeX XML Cite \textit{M. Panchatcharam} et al., Int. J. Numer. Anal. Model., Ser. B 4, No. 4, 394--412 (2013; Zbl 1463.65452)
Hajarian, Masoud Matrix iterative methods for solving the Sylvester-transpose and periodic Sylvester matrix equations. (English) Zbl 1293.93289 J. Franklin Inst. 350, No. 10, 3328-3341 (2013). MSC: 93B40 15A24 PDF BibTeX XML Cite \textit{M. Hajarian}, J. Franklin Inst. 350, No. 10, 3328--3341 (2013; Zbl 1293.93289) Full Text: DOI
Chen, Zhongying; Cheng, Dongsheng; Wu, Tingting A dispersion minimizing finite difference scheme and preconditioned solver for the 3D Helmholtz equation. (English) Zbl 1284.35145 J. Comput. Phys. 231, No. 24, 8152-8175 (2012). MSC: 35J05 65N06 65F08 65G40 65M55 PDF BibTeX XML Cite \textit{Z. Chen} et al., J. Comput. Phys. 231, No. 24, 8152--8175 (2012; Zbl 1284.35145) Full Text: DOI
Sonneveld, Peter On the convergence behavior of IDR(\(s\)) and related methods. (English) Zbl 1261.65035 SIAM J. Sci. Comput. 34, No. 5, A2576-A2598 (2012). Reviewer: Constantin Popa (Constanţa) MSC: 65F10 65F50 PDF BibTeX XML Cite \textit{P. Sonneveld}, SIAM J. Sci. Comput. 34, No. 5, A2576--A2598 (2012; Zbl 1261.65035) Full Text: DOI Link
Chen, Zhongying; Cheng, Dongsheng; Feng, Wei; Wu, Tingting; Yang, Hongqi A multigrid-based preconditioned Krylov subspace method for the Helmholtz equation with PML. (English) Zbl 1231.65198 J. Math. Anal. Appl. 383, No. 2, 522-540 (2011). Reviewer: Murli Gupta (Washington, D. C.) MSC: 65N06 65N55 35J05 65F10 65F08 PDF BibTeX XML Cite \textit{Z. Chen} et al., J. Math. Anal. Appl. 383, No. 2, 522--540 (2011; Zbl 1231.65198) Full Text: DOI
Sleijpen, Gerard L. G.; Van Gijzen, Martin B. Exploiting BiCGSTAB(\(\ell\)) strategies to induce dimension reduction. (English) Zbl 1220.65042 SIAM J. Sci. Comput. 32, No. 5, 2687-2709 (2010). Reviewer: Constantin Popa (Constanţa) MSC: 65F10 PDF BibTeX XML Cite \textit{G. L. G. Sleijpen} and \textit{M. B. Van Gijzen}, SIAM J. Sci. Comput. 32, No. 5, 2687--2709 (2010; Zbl 1220.65042) Full Text: DOI Link
Sleijpen, Gerard L. G.; Sonneveld, Peter; van Gijzen, Martin B. Bi-CGSTAB as an induced dimension reduction method. (English) Zbl 1200.65024 Appl. Numer. Math. 60, No. 11, 1100-1114 (2010). MSC: 65F10 65F15 65N25 PDF BibTeX XML Cite \textit{G. L. G. Sleijpen} et al., Appl. Numer. Math. 60, No. 11, 1100--1114 (2010; Zbl 1200.65024) Full Text: DOI
Tanio, Masaaki; Sugihara, Masaaki GBi-CGSTAB(\(s,L\)): IDR(\(s\)) with higher-order stabilization polynomials. (English) Zbl 1200.65025 J. Comput. Appl. Math. 235, No. 3, 765-784 (2010). MSC: 65F10 PDF BibTeX XML Cite \textit{M. Tanio} and \textit{M. Sugihara}, J. Comput. Appl. Math. 235, No. 3, 765--784 (2010; Zbl 1200.65025) Full Text: DOI
Gordon, Dan; Gordon, Rachel Row scaling as a preconditioner for some nonsymmetric linear systems with discontinuous coefficients. (English) Zbl 1196.65066 J. Comput. Appl. Math. 234, No. 12, 3480-3495 (2010). MSC: 65F08 65N55 35J25 65N06 65F10 PDF BibTeX XML Cite \textit{D. Gordon} and \textit{R. Gordon}, J. Comput. Appl. Math. 234, No. 12, 3480--3495 (2010; Zbl 1196.65066) Full Text: DOI
Gutknecht, Martin H. IDR explained. (English) Zbl 1189.65060 ETNA, Electron. Trans. Numer. Anal. 36(2009-2010), 126-148 (2010). MSC: 65F10 PDF BibTeX XML Cite \textit{M. H. Gutknecht}, ETNA, Electron. Trans. Numer. Anal. 36, 126--148 (2010; Zbl 1189.65060) Full Text: EuDML EMIS
Touhei, Terumi; Kiuchi, Taku; Iwasaki, Kentaro A fast volume integral equation method for the direct/inverse problem in elastic wave scattering phenomena. (English) Zbl 1176.74099 Int. J. Solids Struct. 46, No. 21, 3860-3872 (2009). MSC: 74J25 74S30 PDF BibTeX XML Cite \textit{T. Touhei} et al., Int. J. Solids Struct. 46, No. 21, 3860--3872 (2009; Zbl 1176.74099) Full Text: DOI
Sifalakis, A. G.; Fulton, S. R.; Papadopoulou, E. P.; Saridakis, Y. G. Direct and iterative solution of the generalized Dirichlet-Neumann map for elliptic PDEs on square domains. (English) Zbl 1183.65154 J. Comput. Appl. Math. 227, No. 1, 171-184 (2009). Reviewer: Petr Necesal (Plzen) MSC: 65N35 35J25 35J05 65F05 65F10 PDF BibTeX XML Cite \textit{A. G. Sifalakis} et al., J. Comput. Appl. Math. 227, No. 1, 171--184 (2009; Zbl 1183.65154) Full Text: DOI
Sonneveld, Peter; van Gijzen, Martin B. IDR(\(s\)): A family of simple and fast algorithms for solving large nonsymmetric systems of linear equations. (English) Zbl 1190.65053 SIAM J. Sci. Comput. 31, No. 2, 1035-1062 (2008). MSC: 65F10 65F50 PDF BibTeX XML Cite \textit{P. Sonneveld} and \textit{M. B. van Gijzen}, SIAM J. Sci. Comput. 31, No. 2, 1035--1062 (2008; Zbl 1190.65053) Full Text: DOI Link
Oliveira, Filipa Simões Brito Ferreira Application of a Krylov subspace iterative method in a multi-level adaptive technique to solve the mild-slope equation in nearshore regions. (English) Zbl 1375.76131 Appl. Math. Modelling 31, No. 4, 655-662 (2007). MSC: 76M25 76B15 86A05 PDF BibTeX XML Cite \textit{F. S. B. F. Oliveira}, Appl. Math. Modelling 31, No. 4, 655--662 (2007; Zbl 1375.76131) Full Text: DOI
Bin Zubair, H.; Leentvaar, C. C. W.; Oosterlee, C. W. Multigrid precondititoners for Bi-CGSTAB for the sparse-grid solution of high-dimensional anisotropic diffusion equation. (English) Zbl 1136.65088 J. Prime Res. Math. 3, 186-200 (2007). MSC: 65M55 65M06 65M12 35K05 65Y20 91G60 65F10 65F35 PDF BibTeX XML Cite \textit{H. Bin Zubair} et al., J. Prime Res. Math. 3, 186--200 (2007; Zbl 1136.65088)
Panka, I.; Keresztúri, A.; Hegedüs, C. J. Numerical methods in the KIKO3D three-dimensional reactor dynamics code. (English) Zbl 1132.82023 Transp. Theory Stat. Phys. 36, No. 4-6, 381-419 (2007). Reviewer: Iván Abonyi (Budapest) MSC: 82D75 65F10 PDF BibTeX XML Cite \textit{I. Panka} et al., Transp. Theory Stat. Phys. 36, No. 4--6, 381--419 (2007; Zbl 1132.82023) Full Text: DOI
Zubair, H. Bin; Leentvaar, C. C. W.; Oosterlee, C. W. Efficient \(d\)-multigrid preconditioners for sparse-grid solution of high-dimensional partial differential equations. (English) Zbl 1123.65035 Int. J. Comput. Math. 84, No. 8, 1131-1149 (2007). MSC: 65F35 65M55 65F10 65M06 35K15 91G60 PDF BibTeX XML Cite \textit{H. B. Zubair} et al., Int. J. Comput. Math. 84, No. 8, 1131--1149 (2007; Zbl 1123.65035) Full Text: DOI
Vogel, Judith A. Flexible BiCG and flexible Bi-CGSTAB for nonsymmetric linear systems. (English) Zbl 1114.65318 Appl. Math. Comput. 188, No. 1, 226-233 (2007). MSC: 65F10 65F35 PDF BibTeX XML Cite \textit{J. A. Vogel}, Appl. Math. Comput. 188, No. 1, 226--233 (2007; Zbl 1114.65318) Full Text: DOI
Lai, Ming-Chih; Tseng, Jui-Ming A formally fourth-order accurate compact scheme for 3D Poisson equation in cylindrical coordinates. (English) Zbl 1115.65122 J. Comput. Appl. Math. 201, No. 1, 175-181 (2007). MSC: 65N35 65N06 35J05 65T50 PDF BibTeX XML Cite \textit{M.-C. Lai} and \textit{J.-M. Tseng}, J. Comput. Appl. Math. 201, No. 1, 175--181 (2007; Zbl 1115.65122) Full Text: DOI
van der Vorst, Henk A. Iterative solution methods: aims, tools, craftmanship. (English) Zbl 1139.65025 Hill, James M. (ed.) et al., Applied mathematics entering the 21st century. Papers from the 5th international congress on industrial and applied mathematics (ICIAM 2003), Sydney, Australia, July 7–11, 2003. Philadelphia, PA: Society for Industrial and Applied Mathematics (SIAM) (ISBN 978-0-89871-559-0/hbk). Proceedings in Applied Mathematics 116, 371-392 (2004). MSC: 65F10 65-02 65F35 PDF BibTeX XML Cite \textit{H. A. van der Vorst}, Proc. Appl. Math. 116, 371--392 (2004; Zbl 1139.65025)
Chang, S.-L.; Chen, H.-S.; Chien, C.-S. Multigrid-conjugate gradient type methods for reaction-diffusion systems. (English) Zbl 1064.65040 Int. J. Bifurcation Chaos Appl. Sci. Eng. 14, No. 10, 3587-3605 (2004). MSC: 65H17 65H20 35K57 65M55 65M06 65N55 35P30 65N25 PDF BibTeX XML Cite \textit{S. L. Chang} et al., Int. J. Bifurcation Chaos Appl. Sci. Eng. 14, No. 10, 3587--3605 (2004; Zbl 1064.65040) Full Text: DOI
Basermann, Achim; Cortial-Goutaudier, Fabienne; Jaekel, Uwe; Hachiya, Koutaro Parallel solution techniques for sparse linear systems in circuit simulation. (English) Zbl 1060.65036 Schilders, Wilhelmus H. A. (ed.) et al., Scientific computing in electrical engineering. Proceedings of the SCEE 2002 Conference, Eindhoven, The Netherlands, June 23–28, 2002. Berlin: Springer (ISBN 3-540-21372-4/hbk). Mathematics in Industry 4. The European Consortium for Mathematics in Industry., 112-119 (2004). MSC: 65F10 65F35 65Y05 65F50 94C05 94C15 PDF BibTeX XML Cite \textit{A. Basermann} et al., Math. Ind. 4, 112--119 (2004; Zbl 1060.65036)
Zhang, Aishe; Zhang, Ling Performance of certain Krylov subspace methods for solving convection-diffusion equations. (English) Zbl 1061.65111 Appl. Math. Comput. 156, No. 3, 695-704 (2004). MSC: 65N06 65F10 35J25 65F35 PDF BibTeX XML Cite \textit{A. Zhang} and \textit{L. Zhang}, Appl. Math. Comput. 156, No. 3, 695--704 (2004; Zbl 1061.65111) Full Text: DOI
Erlangga, Y. A.; Vuik, C.; Oosterlee, C. W. On a class of preconditioners for solving the Helmholtz equation. (English) Zbl 1051.65101 Appl. Numer. Math. 50, No. 3-4, 409-425 (2004). MSC: 65N06 35J05 65F35 65F10 PDF BibTeX XML Cite \textit{Y. A. Erlangga} et al., Appl. Numer. Math. 50, No. 3--4, 409--425 (2004; Zbl 1051.65101) Full Text: DOI Link
Baron, R.; Paxion, S.; Gicquel, O.; Simous, N.; Bastian, P.; Theévenin, D. Development of a 3D parallel multigrid solver for fast and accurate laminar steady flame computations. (English) Zbl 1097.76053 Hirschel, Ernst Heinrich (ed.), Numerical flow simulation III. CNRS-DFG collaborative research programme. Results 2000-2002. Berlin: Springer (ISBN 3-540-44130-1/hbk). Notes on Numerical Fluid Mechanics and Multidisciplinary Design (NNFM) 82, 115-128 (2003). Reviewer: Natesan Srinivasan (Assam) MSC: 76M12 76V05 80A25 65Y05 PDF BibTeX XML Cite \textit{R. Baron} et al., in: Numerical flow simulation III. CNRS-DFG collaborative research programme. Results 2000-2002. Berlin: Springer. 115--128 (2003; Zbl 1097.76053)
Nachaoui, Abdeljalil An improved implementation of an iterative method in boundary identification problems. (English) Zbl 1030.65113 Numer. Algorithms 33, No. 1-4, 381-398 (2003). MSC: 65N21 35J05 65N38 65F10 35R30 PDF BibTeX XML Cite \textit{A. Nachaoui}, Numer. Algorithms 33, No. 1--4, 381--398 (2003; Zbl 1030.65113) Full Text: DOI
Chen, Xinjian A free-surface correction method for simulating shallow water flows. (English) Zbl 1061.76041 J. Comput. Phys. 189, No. 2, 557-578 (2003). MSC: 76M20 76B15 PDF BibTeX XML Cite \textit{X. Chen}, J. Comput. Phys. 189, No. 2, 557--578 (2003; Zbl 1061.76041) Full Text: DOI
van der Vorst, Henk A. Iterative Krylov methods for large linear systems. (English) Zbl 1023.65027 Cambridge Monographs on Applied and Computational Mathematics. 13. Cambridge: Cambridge University Press. xiii, 221 p. (2003). Reviewer: Dietrich Braess (Bochum) MSC: 65F10 65-02 65F35 PDF BibTeX XML Cite \textit{H. A. van der Vorst}, Iterative Krylov methods for large linear systems. Cambridge: Cambridge University Press (2003; Zbl 1023.65027) Full Text: DOI
van der Vorst, Henk A. Subspace acceleration and preconditioning for large sparse linear systems. (English) Zbl 1037.65037 Lipitakis, Elias A. (ed.), HERCMA 2001. Proceedings of the 5th Hellenic-European conference on computer mathematics and its applications, Athens, Greece, September 20–22, 2001. 2 volumes. Athens: LEA (ISBN 960-85176-8-0/set). 64-73 (2002). MSC: 65F10 65F30 65F50 65Y05 PDF BibTeX XML Cite \textit{H. A. van der Vorst}, in: HERCMA 2001. Proceedings of the 5th Hellenic-European conference on computer mathematics and its applications, Athens, Greece, September 20--22, 2001. 2 volumes. Athens: LEA. 64--73 (2002; Zbl 1037.65037)
van der Vorst, Henk A. Subspace acceleration and preconditioning for large sparse linear systems. (English) Zbl 1024.65030 HERMIS-\(\mu\pi\) 3, 51-64 (2002). MSC: 65F10 65F50 65F35 65Y05 PDF BibTeX XML Cite \textit{H. A. van der Vorst}, HERMIS-\(\mu\pi\) 3, 51--64 (2002; Zbl 1024.65030)
van der Vorst, Henk A. Efficient and reliable iterative methods for linear systems. (English) Zbl 1013.65025 J. Comput. Appl. Math. 149, No. 1, 251-265 (2002). MSC: 65F10 65Y05 PDF BibTeX XML Cite \textit{H. A. van der Vorst}, J. Comput. Appl. Math. 149, No. 1, 251--265 (2002; Zbl 1013.65025) Full Text: DOI
Pini, Giorgio Leftmost eigenvalue of real and complex sparse matrices on parallel computer using approximate inverse preconditioning. (English) Zbl 1004.68214 Parallel Algorithms Appl. 17, No. 1, 41-58 (2002). MSC: 68W10 68W30 PDF BibTeX XML Cite \textit{G. Pini}, Parallel Algorithms Appl. 17, No. 1, 41--58 (2002; Zbl 1004.68214) Full Text: DOI
Brill, Stephen H.; Pinder, George F. Parallel implementation of the Bi-CGSTAB method with block red–black Gauss–Seidel preconditioner applied to the Hermite collocation discretization of partial differential equations. (English) Zbl 0984.68204 Parallel Comput. 28, No. 3, 399-414 (2002). MSC: 68W10 PDF BibTeX XML Cite \textit{S. H. Brill} and \textit{G. F. Pinder}, Parallel Comput. 28, No. 3, 399--414 (2002; Zbl 0984.68204) Full Text: DOI
Jenkins, E. W.; Kees, C. E.; Kelley, C. T.; Miller, C. T. An aggregation-based domain decomposition preconditioner for groundwater flow. (English) Zbl 1036.65109 SIAM J. Sci. Comput. 23, No. 2, 430-441 (2001). Reviewer: Calin Ioan Gheorghiu (Cluj-Napoca) MSC: 65N55 76S05 86A05 65H10 65F35 35J05 35Q35 PDF BibTeX XML Cite \textit{E. W. Jenkins} et al., SIAM J. Sci. Comput. 23, No. 2, 430--441 (2001; Zbl 1036.65109) Full Text: DOI
Brill, Stephen H.; Pinder, George F. Analysis of a block red-black preconditioner applied to the Hermite collocation discretization of a model parabolic equation. (English) Zbl 0992.65107 Numer. Methods Partial Differ. Equations 17, No. 6, 584-606 (2001). Reviewer: Angela Handlovičová (Bratislava) MSC: 65M70 35K05 65F35 65M12 65M50 65F10 PDF BibTeX XML Cite \textit{S. H. Brill} and \textit{G. F. Pinder}, Numer. Methods Partial Differ. Equations 17, No. 6, 584--606 (2001; Zbl 0992.65107) Full Text: DOI
Brill, Stephen H.; Pinder, George F. Eigenvalue analysis of a block red-black Gauss-Seidel preconditioner applied to the Hermite collocation discretization of Poisson’s equation. (English) Zbl 0993.65038 Numer. Methods Partial Differ. Equations 17, No. 3, 204-228 (2001). Reviewer: Aurel Galántai (Miskolc-Egyetemvaros) MSC: 65F10 35J05 65F35 65N35 PDF BibTeX XML Cite \textit{S. H. Brill} and \textit{G. F. Pinder}, Numer. Methods Partial Differ. Equations 17, No. 3, 204--228 (2001; Zbl 0993.65038) Full Text: DOI
Fang, C. C.; Sheu, Tony W. H. Two element-by-element iterative solutions for shallow water equations. (English) Zbl 0986.76039 SIAM J. Sci. Comput. 22, No. 6, 2075-2092 (2001). Reviewer: Calin Ioan Gheorghiu (Cluj-Napoca) MSC: 76M10 76B15 65F10 PDF BibTeX XML Cite \textit{C. C. Fang} and \textit{T. W. H. Sheu}, SIAM J. Sci. Comput. 22, No. 6, 2075--2092 (2001; Zbl 0986.76039) Full Text: DOI
Carpentieri, B.; Duff, I. S.; Giraud, L. Sparse pattern selection strategies for robust Frobenius-norm minimization preconditioners in electromagnetism. (English) Zbl 1051.65050 Numer. Linear Algebra Appl. 7, No. 7-8, 667-685 (2000). Reviewer: Jan Chleboun (Praha) MSC: 65F35 65Y20 78M15 78A45 65F10 PDF BibTeX XML Cite \textit{B. Carpentieri} et al., Numer. Linear Algebra Appl. 7, No. 7--8, 667--685 (2000; Zbl 1051.65050) Full Text: DOI
Scheichl, R. Parallel solvers for the transient multigroup neutron diffusion equations. (English) Zbl 1078.82554 Int. J. Numer. Methods Eng. 47, No. 10, 1751-1771 (2000). MSC: 82D75 65Y05 82-08 65N30 PDF BibTeX XML Cite \textit{R. Scheichl}, Int. J. Numer. Methods Eng. 47, No. 10, 1751--1771 (2000; Zbl 1078.82554) Full Text: DOI
Suetomi, E.; Tanaka, M.; Kamiya, S.; Hayashi, S.; Ikeda, S.; Sugawara, H.; Sakai, Y. Two-dimensional fluid simulation of plasma reactors for the immobilization of krypton. (English) Zbl 0978.76064 Comput. Phys. Commun. 125, No. 1-3, 60-74 (2000). MSC: 76M20 76X05 82D75 PDF BibTeX XML Cite \textit{E. Suetomi} et al., Comput. Phys. Commun. 125, No. 1--3, 60--74 (2000; Zbl 0978.76064) Full Text: DOI
Nordsveen, Magnus; Moe, Randi Preconditioned Krylov subspace methods used in solving two-dimensional transient two-phase flows. (English) Zbl 0964.76065 Int. J. Numer. Methods Fluids 31, No. 7, 1141-1156 (1999). MSC: 76M20 76T10 65F10 PDF BibTeX XML Cite \textit{M. Nordsveen} and \textit{R. Moe}, Int. J. Numer. Methods Fluids 31, No. 7, 1141--1156 (1999; Zbl 0964.76065) Full Text: DOI
Sagaut, P.; Montreuil, E.; Labbé, O. Assessment of some self-adaptive SGS models for wall bounded flows. (English) Zbl 0962.76547 Aerosp. Sci. Technol. 3, No. 6, 335-344 (1999). MSC: 76F65 76M20 76F10 PDF BibTeX XML Cite \textit{P. Sagaut} et al., Aerosp. Sci. Technol. 3, No. 6, 335--344 (1999; Zbl 0962.76547) Full Text: DOI
Giangi, M.; Stella, F. Analysis of natural convection during solidification of a pure metal. (English) Zbl 0958.76052 Int. J. Comput. Fluid Dyn. 11, No. 3-4, 341-349 (1999). MSC: 76M12 76R10 76T99 80A22 PDF BibTeX XML Cite \textit{M. Giangi} and \textit{F. Stella}, Int. J. Comput. Fluid Dyn. 11, No. 3--4, 341--349 (1999; Zbl 0958.76052) Full Text: DOI
Goldberg, D.; Ruas, V. A numerical study of projection algorithms in the finite element simulation of three-dimensional viscous incompressible flow. (English) Zbl 0945.76045 Int. J. Numer. Methods Fluids 30, No. 3, 233-256 (1999). MSC: 76M10 76D05 65M60 PDF BibTeX XML Cite \textit{D. Goldberg} and \textit{V. Ruas}, Int. J. Numer. Methods Fluids 30, No. 3, 233--256 (1999; Zbl 0945.76045) Full Text: DOI
Okong’o, Nora; Knight, Doyle D. Implicit unstructured Navier-Sokes simulation of leading edge separation over a pitching airfoil. (English) Zbl 0936.76043 Appl. Numer. Math. 27, No. 3, 269-308 (1998). MSC: 76M12 76N15 PDF BibTeX XML Cite \textit{N. Okong'o} and \textit{D. D. Knight}, Appl. Numer. Math. 27, No. 3, 269--308 (1998; Zbl 0936.76043) Full Text: DOI
Zhang, S. L.; Natori, M.; Jin, C. H. Product-type Krylov-subspace methods for solving nonsymmetric linear systems. (English) Zbl 0932.65041 Fujita, H. (ed.) et al., Recent developments in domain decomposition methods and flow problems. Dedicated to Professor Hideo Kawarada on the occasion of his 60th birthday. Tokyo: Gakkotosho. GAKUTO Int. Ser., Math. Sci. Appl. 11, 95-106 (1998). MSC: 65F10 PDF BibTeX XML Cite \textit{S. L. Zhang} et al., GAKUTO Int. Ser., Math. Sci. Appl. 11, 95--106 (1998; Zbl 0932.65041)
Benzi, Michele; Tuma, Miroslav A sparse approximate inverse preconditioner for nonsymmetric linear systems. (English) Zbl 0930.65027 SIAM J. Sci. Comput. 19, No. 3, 968-994 (1998). Reviewer: Myron Sussman (Bethel Park) MSC: 65F10 65F50 65Y05 65F35 PDF BibTeX XML Cite \textit{M. Benzi} and \textit{M. Tuma}, SIAM J. Sci. Comput. 19, No. 3, 968--994 (1998; Zbl 0930.65027) Full Text: DOI
Van der Vorst, Henk A. Iterative methods for linear systems and implementation on parallel computers. (English) Zbl 0938.65069 Chan, Raymond H. (ed.) et al., Iterative methods in scientific computing. Papers from the winter school on Iterative methods in scientific computing and their applications held in Hong Kong, December 14-20, 1995. Singapore: Springer. 1-44 (1997). MSC: 65F10 65F50 65Y05 PDF BibTeX XML Cite \textit{H. A. Van der Vorst}, in: Iterative methods in scientific computing. Papers from the winter school on Iterative methods in scientific computing and their applications held in Hong Kong, December 14--20, 1995. Singapore: Springer. 1--44 (1997; Zbl 0938.65069)
Kurreck, M.; Wittig, S. A comparative study of pressure correction and block-implicit finite volume algorithms on parallel computers. (English) Zbl 0900.76473 Int. J. Numer. Methods Fluids 24, No. 11, 1111-1128 (1997). MSC: 76M25 76V05 65Y05 76D05 PDF BibTeX XML Cite \textit{M. Kurreck} and \textit{S. Wittig}, Int. J. Numer. Methods Fluids 24, No. 11, 1111--1128 (1997; Zbl 0900.76473) Full Text: DOI
Golub, Gene H.; van der Vorst, Henk A. Closer to the solution: Iterative linear solvers. (English) Zbl 0881.65025 Duff, I. S. (ed.) et al., The state of the art in numerical analysis. Based on the proceedings of a conference organized by the Institute of Mathematics and its Applications (IMA), University of York, York, GB, April 1–4, 1996. Oxford: Clarendon Press. Inst. Math. Appl. Conf. Ser., New Ser. 63, 63-92 (1997). MSC: 65F10 65-02 PDF BibTeX XML Cite \textit{G. H. Golub} and \textit{H. A. van der Vorst}, in: The state of the art in numerical analysis. Based on the proceedings of a conference organized by the Institute of Mathematics and its Applications (IMA), University of York, York, GB, April 1--4, 1996. Oxford: Clarendon Press. 63--92 (1997; Zbl 0881.65025)
Cao, Zhihao Avoiding breakdown in variants of the BI-CGSTAB algorithm. (English) Zbl 0885.65033 Linear Algebra Appl. 263, 113-132 (1997). Reviewer: H.Hollatz (Magdeburg) MSC: 65F10 PDF BibTeX XML Cite \textit{Z. Cao}, Linear Algebra Appl. 263, 113--132 (1997; Zbl 0885.65033) Full Text: DOI
Zhang, Shao-Liang GPBi-CG: Generalized product-type methods based on Bi-CG for solving nonsymmetric linear systems. (English) Zbl 0872.65023 SIAM J. Sci. Comput. 18, No. 2, 537-551 (1997). Reviewer: Th.Sonar (Hamburg) MSC: 65F10 PDF BibTeX XML Cite \textit{S.-L. Zhang}, SIAM J. Sci. Comput. 18, No. 2, 537--551 (1997; Zbl 0872.65023) Full Text: DOI
Chan, Tony F.; Szeto, Tedd Composite step product methods for solving nonsymmetric linear systems. (English) Zbl 0862.65018 SIAM J. Sci. Comput. 17, No. 6, 1491-1508 (1996). Reviewer: K.Georgiev (Sofia) MSC: 65F10 PDF BibTeX XML Cite \textit{T. F. Chan} and \textit{T. Szeto}, SIAM J. Sci. Comput. 17, No. 6, 1491--1508 (1996; Zbl 0862.65018) Full Text: DOI
Fan, Qing; Forsyth, P. A.; McMacken, J. R. F.; Tang, Wei-Pai Performance issues for iterative solvers in device simulation. (English) Zbl 0847.65022 SIAM J. Sci. Comput. 17, No. 1, 100-117 (1996). Reviewer: I.Coroian (Baia Mare) MSC: 65F10 65F50 65Z05 35Q60 78A55 PDF BibTeX XML Cite \textit{Q. Fan} et al., SIAM J. Sci. Comput. 17, No. 1, 100--117 (1996; Zbl 0847.65022) Full Text: DOI Link
Sleijpen, G. L. G.; van der Vorst, H. A. Reliable updated residuals in hybrid Bi-CG methods. (English) Zbl 0842.65018 Computing 56, No. 2, 141-163 (1996). Reviewer: I.Coroian (Baia Mare) MSC: 65F10 PDF BibTeX XML Cite \textit{G. L. G. Sleijpen} and \textit{H. A. van der Vorst}, Computing 56, No. 2, 141--163 (1996; Zbl 0842.65018) Full Text: DOI
Zhang, Shao-Liang Generalized product-type Krylov-subspace methods for solving nonsymmetric linear systems. (English) Zbl 0900.65081 Z. Angew. Math. Mech. 76, Suppl. 1, 593-594 (1996). MSC: 65F10 PDF BibTeX XML Cite \textit{S.-L. Zhang}, Z. Angew. Math. Mech. 76, 593--594 (1996; Zbl 0900.65081)
Muramatsu, Kazuhiro; Doi, Shun; Washio, Takumi; Nakata, Toshiyuki Implementing a CFD solver on Cenju-3 parallel computer. (English) Zbl 0856.76063 Satofuka, N. (ed.) et al., Parallel computational fluid dynamics. New algorithms and applications. Proceedings of the parallel CFD ’94 conference, Kyoto, Japan, 16-19 May, 1994. Amsterdam: North-Holland. 63-72 (1995). MSC: 76M25 76D05 65Y05 PDF BibTeX XML Cite \textit{K. Muramatsu} et al., in: Parallel computational fluid dynamics. New algorithms and applications. Proceedings of the parallel CFD '94 conference, Kyoto, Japan, 16-19 May, 1994. Amsterdam: North-Holland. 63--72 (1995; Zbl 0856.76063)
Dijkstra, Henk A.; Molemaker, M. Jeroen; van der Ploeg, Auke; Botta, Eugen F. F. An efficient code to compute non-parallel steady flows and their linear stability. (English) Zbl 0848.76056 Comput. Fluids 24, No. 4, 415-434 (1995). Reviewer: S.C.Rajvanshi (Chandigarh) MSC: 76M25 76E15 PDF BibTeX XML Cite \textit{H. A. Dijkstra} et al., Comput. Fluids 24, No. 4, 415--434 (1995; Zbl 0848.76056) Full Text: DOI
Caltagirone, Jean-Paul; Khadra, Khodor; Angot, Philippe On a local multigrid mesh refinement method for solving Navier-Stokes equations. (Sur une méthode de raffinement local multigrille pour la résolution des équations de Navier-Stokes.) (French. Abridged English version) Zbl 0834.76065 C. R. Acad. Sci., Paris, Sér. II, Fasc. b 320, No. 6, 295-302 (1995). MSC: 76M25 76R10 65M55 PDF BibTeX XML Cite \textit{J.-P. Caltagirone} et al., C. R. Acad. Sci., Paris, Sér. II, Fasc. b 320, No. 6, 295--302 (1995; Zbl 0834.76065)
Brezinski, C.; Redivo-Zaglia, M. Look-ahead in Bi-CGSTAB and other product methods for linear systems. (English) Zbl 0831.65032 BIT 35, No. 2, 169-201 (1995). Reviewer: L.Berg (Rostock) MSC: 65F10 PDF BibTeX XML Cite \textit{C. Brezinski} and \textit{M. Redivo-Zaglia}, BIT 35, No. 2, 169--201 (1995; Zbl 0831.65032) Full Text: DOI
Schmid, Werner; Paffrath, Meinhard; Hoppe, Ronald H. W. Application of iterative methods for solving nonsymmetric linear systems in the simulation of semiconductor processing. (English) Zbl 0826.65019 Surv. Math. Ind. 5, No. 1, 1-26 (1995). Reviewer: Xie Shenquan (Xiangtan) MSC: 65F10 65F35 65N22 65Y20 78A55 PDF BibTeX XML Cite \textit{W. Schmid} et al., Surv. Math. Ind. 5, No. 1, 1--26 (1995; Zbl 0826.65019)
Parter, Seymour V.; Rothman, Ernest E. Preconditioning Legendre spectral collocation approximations to elliptic problems. (English) Zbl 0822.65093 SIAM J. Numer. Anal. 32, No. 2, 333-385 (1995). Reviewer: W. Heinrichs (Düsseldorf) MSC: 65N35 65N30 65F35 65F10 35J25 PDF BibTeX XML Cite \textit{S. V. Parter} and \textit{E. E. Rothman}, SIAM J. Numer. Anal. 32, No. 2, 333--385 (1995; Zbl 0822.65093) Full Text: DOI Link
Díaz, J. C.; Shenoi, K. Domain decomposition and Schur complement approaches to coupling the well equations in reservoir simulation. (English) Zbl 0817.76071 SIAM J. Sci. Comput. 16, No. 1, 29-39 (1995). MSC: 76M99 65F10 65N55 86A60 65F50 PDF BibTeX XML Cite \textit{J. C. Díaz} and \textit{K. Shenoi}, SIAM J. Sci. Comput. 16, No. 1, 29--39 (1995; Zbl 0817.76071) Full Text: DOI
Artlich, Stefan; Mackens, Wolfgang Newton-coupling of fixed point iterations. (English) Zbl 0868.65030 Hackbusch, Wolfgang (ed.) et al., Numerical treatment of coupled systems. Proceedings of the 11th GAMM-Seminar, Kiel, Germany, January 20-22, 1995. Wiesbaden: Vieweg. Notes Numer. Fluid Mech. 51, 1-10 (1995). MSC: 65H10 65N30 35Q72 80A25 65Z05 PDF BibTeX XML Cite \textit{S. Artlich} and \textit{W. Mackens}, Notes Numer. Fluid Mech. 51, 1--10 (1995; Zbl 0868.65030)
Gehrke, Eckard Parallel methods for the numerical simulation of reactive flows by the example of laminar diffusion flames. (Parallele Methoden zur numerischen Simulation reaktiver Strömungen am Beispiel laminarer Diffusionsflammen.) (German) Zbl 0822.76060 Heidelberg: Univ., Naturwiss.-Math. Gesamtfak. 139 p. (1994). MSC: 76M20 76V05 65Y05 80A25 92E20 PDF BibTeX XML Cite \textit{E. Gehrke}, Parallele Methoden zur numerischen Simulation reaktiver Strömungen am Beispiel laminarer Diffusionsflammen. Heidelberg: Univ., Naturwiss.-Math. Gesamtfak. (1994; Zbl 0822.76060)
Neylon, K. J.; Baines, M. J.; Nichols, N. K. Bi-CGSTAB for advection dominated problems. (English) Zbl 0819.65042 Lewis, John G. (ed.), Applied linear algebra. Proceedings of the 5th SIAM conference, held in Snowbird, UT, USA, June 15-18, 1994. Philadelphia, PA: SIAM. 439-443 (1994). MSC: 65F10 65N30 35J25 PDF BibTeX XML Cite \textit{K. J. Neylon} et al., in: Applied linear algebra. Proceedings of the 5th SIAM conference, held in Snowbird, UT, USA, June 15-18, 1994. Philadelphia, PA: SIAM. 439--443 (1994; Zbl 0819.65042)
Van der Vorst, Henk A. Minimum residual modifications to Bi-CG and to the preconditioner. (English) Zbl 0803.65060 Golub, Gene (ed.) et al., Recent advances in iterative methods. Papers from the IMA workshop on iterative methods for sparse and structured problems, held in Minneapolis, MN, February 24-March 1, 1992. New York, NY: Springer-Verlag. IMA Vol. Math. Appl. 60, 217-225 (1994). MSC: 65F35 65F10 PDF BibTeX XML Cite \textit{H. A. Van der Vorst}, IMA Vol. Math. Appl. 60, 217--225 (1994; Zbl 0803.65060)
Wille, S.Ø. A preconditioned alternating inner-outer iterative solution method for the mixed finite element formulation of the Navier-Stokes equations. (English) Zbl 0806.76047 Int. J. Numer. Methods Fluids 18, No. 12, 1135-1151 (1994). MSC: 76M10 76D05 76D07 PDF BibTeX XML Cite \textit{S. Ø. Wille}, Int. J. Numer. Methods Fluids 18, No. 12, 1135--1151 (1994; Zbl 0806.76047) Full Text: DOI
McQuain, W. D.; Ribbens, C. J.; Watson, L. T.; Melville, R. C. Preconditioned iterative methods for sparse linear algebra problems arising in circuit simulation. (English) Zbl 0803.65039 Comput. Math. Appl. 27, No. 8, 25-45 (1994). Reviewer: C.He (Chemnitz) MSC: 65F10 65F50 94C05 PDF BibTeX XML Cite \textit{W. D. McQuain} et al., Comput. Math. Appl. 27, No. 8, 25--45 (1994; Zbl 0803.65039) Full Text: DOI Link
Chan, T. F.; Gallopoulos, E.; Simoncini, V.; Szeto, T.; Tong, C. H. A quasi-minimal residual variant of the Bi-CGSTAB algorithm for nonsymmetric systems. (English) Zbl 0803.65038 SIAM J. Sci. Comput. 15, No. 2, 338-347 (1994). Reviewer: C.He (Chemnitz) MSC: 65F10 65F50 PDF BibTeX XML Cite \textit{T. F. Chan} et al., SIAM J. Sci. Comput. 15, No. 2, 338--347 (1994; Zbl 0803.65038) Full Text: DOI Link
Hriberšek, M.; Škerget, L. Iterative methods for diffusion-convective problems by boundary-domain integral method. (English) Zbl 0835.76054 Pina, H. (ed.) et al., Boundary element technology VIII. 8th international conference, BETECH 93, held in Vilamoura, Portugal, 9-11 November 1993. Southampton: Computational Mechanics Publications. 67-76 (1993). Reviewer: T.Zlatanovski (Skopje) MSC: 76M15 76D05 80A20 PDF BibTeX XML Cite \textit{M. Hriberšek} and \textit{L. Škerget}, in: Boundary element technology VIII. 8th international conference, BETECH 93, held in Vilamoura, Portugal, 9-11 November 1993. Southampton: Computational Mechanics Publications. 67--76 (1993; Zbl 0835.76054)
Sleijpen, Gerard L. G.; Fokkema, Diederik R. BiCGstab(\(l\)) for linear equations involving unsymmetric matrices with complex spectrum. (English) Zbl 0820.65016 ETNA, Electron. Trans. Numer. Anal. 1, 11-32 (1993). MSC: 65F10 PDF BibTeX XML Cite \textit{G. L. G. Sleijpen} and \textit{D. R. Fokkema}, ETNA, Electron. Trans. Numer. Anal. 1, 11--32 (1993; Zbl 0820.65016) Full Text: EuDML EMIS
Peters, Alexander Non-symmetric CG-like schems and the finite element solution of the advection-dispersion equation. (English) Zbl 0797.76043 Int. J. Numer. Methods Fluids 17, No. 11, 955-974 (1993). MSC: 76M10 76R99 65F10 PDF BibTeX XML Cite \textit{A. Peters}, Int. J. Numer. Methods Fluids 17, No. 11, 955--974 (1993; Zbl 0797.76043) Full Text: DOI
Carlenzoli, C.; Gervasio, P. Effective numerical algorithms for the solution of algebraic systems arising in spectral methods. (English) Zbl 0754.65031 Appl. Numer. Math. 10, No. 2, 87-113 (1992). Reviewer: H.R.Schwarz (Zürich) MSC: 65F10 65N35 65N55 35J25 65Y10 PDF BibTeX XML Cite \textit{C. Carlenzoli} and \textit{P. Gervasio}, Appl. Numer. Math. 10, No. 2, 87--113 (1992; Zbl 0754.65031) Full Text: DOI
van der Vorst, H. A. Conjugate gradient type methods for nonsymmetric linear systems. (English) Zbl 0785.65042 Beauwens, R. (ed.) et al., Iterative methods in linear algebra. Proceedings of the IMACS international symposium, Brussels, Belgium, 2-4 April, 1991. Amsterdam: North-Holland. 67-76 (1992). MSC: 65F10 PDF BibTeX XML Cite \textit{H. A. van der Vorst}, in: Iterative methods in linear algebra. Proceedings of the IMACS international symposium, Brussels, Belgium, 2-4 April, 1991. Amsterdam: North-Holland. 67--76 (1992; Zbl 0785.65042)
Van der Vorst, H. A. BI-CGSTAB: A fast and smoothly converging variant of BI-CG for the solution of nonsymmetric linear systems. (English) Zbl 0761.65023 SIAM J. Sci. Stat. Comput. 13, No. 2, 631-644 (1992). Reviewer: Y.Shokin (Krasnoyarsk) MSC: 65F10 65F35 PDF BibTeX XML Cite \textit{H. A. Van der Vorst}, SIAM J. Sci. Stat. Comput. 13, No. 2, 631--644 (1992; Zbl 0761.65023) Full Text: DOI
Zhang, Shaoling; Fujino, Seiji; Oyanagi, Yoshio Conjugate residual method for solving singular systems arising from the Neumann boundary-value problem. (Japanese) Zbl 0760.65034 Parallel processing for matrix computation, Proc. 7th PCG Symp., Yokohama/Jap. 1991, Adv. Numer. Methods Large Sparse Sets Linear Equations 7, 50-57 (1991). Reviewer: T. Mitsui (Chikusa-ku / Nagoya) MSC: 65F10 65N06 35J05 PDF BibTeX XML Cite \textit{S. Zhang} et al., in: The numerical solution of \(x J'_ m(x)+HJ_ m(x)=0\) where \(m>-1\) and \(m>-H\). . 50--57 (1991; Zbl 0760.65034)