Miyatake, Natsuo Generalized Kazdan-Warner equations associated with a linear action of a torus on a complex vector space. (English) Zbl 1485.53045 Geom. Dedicata 214, 651-669 (2021). Reviewer: Garik Petrosyan (Voronezh) MSC: 53C21 35R01 53D20 PDFBibTeX XMLCite \textit{N. Miyatake}, Geom. Dedicata 214, 651--669 (2021; Zbl 1485.53045) Full Text: DOI arXiv
Bieniasz, Lesław K. A specialised cyclic reduction algorithm for linear algebraic equation systems with quasi-tridiagonal matrices. (English) Zbl 1383.65018 J. Math. Chem. 55, No. 9, 1793-1807 (2017). MSC: 65F05 65F50 65N06 78A57 78M20 35Q92 PDFBibTeX XMLCite \textit{L. K. Bieniasz}, J. Math. Chem. 55, No. 9, 1793--1807 (2017; Zbl 1383.65018) Full Text: DOI
Myllykoski, Mirko; Rossi, Tuomo A parallel radix-4 block cyclic reduction algorithm. (English) Zbl 1340.65036 Numer. Linear Algebra Appl. 21, No. 4, 540-556 (2014). Reviewer: Tomáš Kozubek (Ostrava) MSC: 65F05 65Y05 65F50 65N06 35J05 PDFBibTeX XMLCite \textit{M. Myllykoski} and \textit{T. Rossi}, Numer. Linear Algebra Appl. 21, No. 4, 540--556 (2014; Zbl 1340.65036) Full Text: DOI Link
Greif, Chen; Hocking, Robert L. A box-shaped cyclically reduced operator. (English) Zbl 1265.65053 Numer. Linear Algebra Appl. 18, No. 4, 671-693 (2011). MSC: 65F10 65N06 35J25 PDFBibTeX XMLCite \textit{C. Greif} and \textit{R. L. Hocking}, Numer. Linear Algebra Appl. 18, No. 4, 671--693 (2011; Zbl 1265.65053) Full Text: DOI
Bini, Dario A.; Meini, Beatrice The cyclic reduction algorithm: From Poisson equation to stochastic processes and beyond. In memoriam of Gene H. Golub. (English) Zbl 1170.65021 Numer. Algorithms 51, No. 1, 23-60 (2009). Reviewer: Tzvetan Semerdjiev (Sofia) MSC: 65F10 35J05 65N06 15A24 65F30 60G10 60J10 65C40 PDFBibTeX XMLCite \textit{D. A. Bini} and \textit{B. Meini}, Numer. Algorithms 51, No. 1, 23--60 (2009; Zbl 1170.65021) Full Text: DOI
Lai, Ming-Chih; Li, Zhilin; Lin, Xiaobiao Fast solvers for 3D Poisson equations involving interfaces in a finite or the infinite domain. (English) Zbl 1096.65106 J. Comput. Appl. Math. 191, No. 1, 106-125 (2006). Reviewer: Georg Hebermehl (Berlin) MSC: 65N06 65N50 35J05 65F05 PDFBibTeX XMLCite \textit{M.-C. Lai} et al., J. Comput. Appl. Math. 191, No. 1, 106--125 (2006; Zbl 1096.65106) Full Text: DOI
Sukhinov, Alexander I. Parallel algorithms based on two-dimensional splitting schemes for multidimensional parabolic equations. (English) Zbl 1079.65539 Matsuno, K. (ed.) et al., Parallel computational fluid dynamics. New frontiers and multi-disciplinary applications. Proceedings of the 14th parallel CFD 2002 conference, Kansei Science City, Japan, May 20–22, 2002. Amsterdam: North-Holland (ISBN 0-444-50680-2/hbk). 345-352 (2003). MSC: 65M06 65M55 65Y05 35K15 65Y20 PDFBibTeX XMLCite \textit{A. I. Sukhinov}, in: Parallel computational fluid dynamics. New frontiers and multi-disciplinary applications. Proceedings of the 14th parallel CFD 2002 conference, Kansei Science City, Japan, May 20--22, 2002. Amsterdam: North-Holland. 345--352 (2003; Zbl 1079.65539)
Zhang, Jun; Kouatchou, Jules; Ge, Lixin A family of fourth-order difference schemes on rotated grid for two-dimensional convection-diffusion equation. (English) Zbl 1001.65113 Math. Comput. Simul. 59, No. 5, 413-429 (2002). MSC: 65N06 65N12 35J25 PDFBibTeX XMLCite \textit{J. Zhang} et al., Math. Comput. Simul. 59, No. 5, 413--429 (2002; Zbl 1001.65113) Full Text: DOI
Zhang, Jun; Kouatchou, Jules; Othman, Mohamed On cyclic reduction and finite difference schemes. (English) Zbl 1007.65079 J. Comput. Appl. Math. 145, No. 1, 213-222 (2002). Reviewer: Erwin Schechter (Kaiserslautern) MSC: 65N06 35J15 65N15 65F10 PDFBibTeX XMLCite \textit{J. Zhang} et al., J. Comput. Appl. Math. 145, No. 1, 213--222 (2002; Zbl 1007.65079) Full Text: DOI
Hendrickx, Jef; Van Barel, Marc A Kronecker product variant of the FACR method for solving the generalized Poisson equation. (English) Zbl 0996.65030 J. Comput. Appl. Math. 140, No. 1-2, 369-380 (2002). MSC: 65F05 65N06 35J05 PDFBibTeX XMLCite \textit{J. Hendrickx} and \textit{M. Van Barel}, J. Comput. Appl. Math. 140, No. 1--2, 369--380 (2002; Zbl 0996.65030) Full Text: DOI
Evans, D. J. Solving separable elliptic equations by the block stride reduction algorithm. (English) Zbl 0967.65039 Int. J. Comput. Math. 76, No. 3, 375-386 (2001). Reviewer: Willi Schönauer (Karlsruhe) MSC: 65F05 35J25 65N06 65Y05 PDFBibTeX XMLCite \textit{D. J. Evans}, Int. J. Comput. Math. 76, No. 3, 375--386 (2001; Zbl 0967.65039) Full Text: DOI
Bhuruth, M.; Jain, M. K.; Boojhawon, R. Hybrid algorithms for cyclically reduced convection-diffusion problems. (English) Zbl 0977.65091 ANZIAM J. 42C, C217-C237 (2000). MSC: 65N06 35J25 65Y20 PDFBibTeX XMLCite \textit{M. Bhuruth} et al., ANZIAM J. 42C, C217--C237 (2000; Zbl 0977.65091)
Simoens, Jo; Vandewalle, Stefan Waveform relaxation with fast direct methods as preconditioner. (English) Zbl 0969.65085 SIAM J. Sci. Comput. 21, No. 5, 1755-1773 (2000). Reviewer: Gisbert Stoyan (Budapest) MSC: 65M20 65T50 65F10 65F35 65L06 35K15 65Y05 65Y20 65M12 PDFBibTeX XMLCite \textit{J. Simoens} and \textit{S. Vandewalle}, SIAM J. Sci. Comput. 21, No. 5, 1755--1773 (2000; Zbl 0969.65085) Full Text: DOI
Greif, Chen Reduced systems for three-dimensional elliptic equations with variable coefficients. (English) Zbl 0942.65120 SIAM J. Matrix Anal. Appl. 21, No. 1, 29-44 (1999). Reviewer: P.K.Mahanti (Ranchi) MSC: 65N06 65F10 35J25 65F35 PDFBibTeX XMLCite \textit{C. Greif}, SIAM J. Matrix Anal. Appl. 21, No. 1, 29--44 (1999; Zbl 0942.65120) Full Text: DOI
Greif, Chen; Varah, James Block stationary methods for nonsymmetric cyclically reduced systems arising from three-dimensional elliptic equations. (English) Zbl 0936.65125 SIAM J. Matrix Anal. Appl. 20, No. 4, 1038-1059 (1999). Reviewer: G.Jumarie (Montréal) MSC: 65N06 65F10 35J25 PDFBibTeX XMLCite \textit{C. Greif} and \textit{J. Varah}, SIAM J. Matrix Anal. Appl. 20, No. 4, 1038--1059 (1999; Zbl 0936.65125) Full Text: DOI
Rossi, Tuomo; Toivanen, Jari A parallel fast direct solver for block tridiagonal systems with separable matrices of arbitrary dimension. (English) Zbl 0931.65020 SIAM J. Sci. Comput. 20, No. 5, 1778-1793 (1999). Reviewer: R.P.Tewarson (Stony Brook) MSC: 65F05 65Y05 65N06 35J25 65F50 PDFBibTeX XMLCite \textit{T. Rossi} and \textit{J. Toivanen}, SIAM J. Sci. Comput. 20, No. 5, 1778--1793 (1999; Zbl 0931.65020) Full Text: DOI
Rossi, Tuomo; Toivanen, Jari A nonstandard cyclic reduction method, its variants and stability. (English) Zbl 0929.65011 SIAM J. Matrix Anal. Appl. 20, No. 3, 628-645 (1999). Reviewer: D.Braess (Bochum) MSC: 65F05 35J05 65N06 PDFBibTeX XMLCite \textit{T. Rossi} and \textit{J. Toivanen}, SIAM J. Matrix Anal. Appl. 20, No. 3, 628--645 (1999; Zbl 0929.65011) Full Text: DOI
Johnsson, S. Lennart; Pitsianis, Nikos P. Load-balance in parallel FACR. (English) Zbl 0930.65113 Arbenz, Peter (ed.) et al., High performance algorithms for structured matrix problems. Commack, NY: Nova Science Publishers. Advanced in the Theory of Computation and Computational Mathematics. 2, 163-180 (1998). MSC: 65N06 65Y05 65Y20 65F05 65T50 35J05 PDFBibTeX XMLCite \textit{S. L. Johnsson} and \textit{N. P. Pitsianis}, in: High performance algorithms for structured matrix problems. Commack, NY: Nova Science Publishers. 163--180 (1998; Zbl 0930.65113)
Gander, Walter; Golub, Gene H. Cyclic reduction – history and applications. (English) Zbl 0921.65023 Golub, Gene H. (ed.) et al., Scientific computing, WSC ’97. Proceedings of the workshop held in Hong Kong, March 10–12, 1997. Berlin: Springer. 73-85 (1998). MSC: 65F05 65-03 01A60 65F50 35J05 65N06 PDFBibTeX XMLCite \textit{W. Gander} and \textit{G. H. Golub}, in: Scientific computing, WSC '97. Proceedings of the workshop held in Hong Kong, March 10--12, 1997. Berlin: Springer. 73--85 (1998; Zbl 0921.65023)
Reusken, Arnold Approximate cyclic reduction preconditioning. (English) Zbl 0926.65038 Hackbusch, Wolfgang (ed.) et al., Multigrid methods V. Proceedings of the 5th European multigrid conference, held in Stuttgart, Germany, October 1–4, 1996. Berlin: Springer. Lect. Notes Comput. Sci. Eng. 3, 243-259 (1998). MSC: 65F10 35J25 65N06 65F35 65N55 PDFBibTeX XMLCite \textit{A. Reusken}, Lect. Notes Comput. Sci. Eng. 3, 243--259 (1998; Zbl 0926.65038)
Greif, Chen; Varah, James Iterative solution of cyclically reduced systems arising from discretisation of the three-dimensional convection-diffusion equation. (English) Zbl 0916.65028 SIAM J. Sci. Comput. 19, No. 6, 1918-1940 (1998). Reviewer: Juan Pedro Milaszewicz (Ioannina) MSC: 65F10 35J25 65N06 PDFBibTeX XMLCite \textit{C. Greif} and \textit{J. Varah}, SIAM J. Sci. Comput. 19, No. 6, 1918--1940 (1998; Zbl 0916.65028) Full Text: DOI
Walmsley, M.; Abram, R. A. A fast Poisson solver for realistic semiconductor device structures. (English) Zbl 0860.65100 COMPEL 15, No. 2, 31-51 (1996). Reviewer: Costică Moroşanu (Iaşi) MSC: 65N06 35Q60 78A55 35J05 PDFBibTeX XMLCite \textit{M. Walmsley} and \textit{R. A. Abram}, COMPEL 15, No. 2, 31--51 (1996; Zbl 0860.65100) Full Text: DOI
Bielawski, Stanislav S.; Mulyarchik, Stepan G.; Popov, Andrew V. The construction of an algebraically reduced system for the acceleration of preconditioned conjugate gradients. (English) Zbl 0861.65027 J. Comput. Appl. Math. 70, No. 2, 189-200 (1996). Reviewer: A.Bultheel (Leuven) MSC: 65F10 65F35 65N22 35J25 PDFBibTeX XMLCite \textit{S. S. Bielawski} et al., J. Comput. Appl. Math. 70, No. 2, 189--200 (1996; Zbl 0861.65027) Full Text: DOI
Lucká, M.; Vajteršic, M.; Viktorinová, E. Massively parallel Poisson and QR factorization solvers. (English) Zbl 0874.65078 Comput. Math. Appl. 31, No. 4-5, 19-26 (1996). MSC: 65N06 65F05 35J05 65Y20 65Y05 PDFBibTeX XMLCite \textit{M. Lucká} et al., Comput. Math. Appl. 31, No. 4--5, 19--26 (1996; Zbl 0874.65078) Full Text: DOI
Calvetti, D.; Gallopoulos, E.; Reichel, L. Incomplete partial fractions for parallel evaluation of rational matrix functions. (English) Zbl 0839.65054 J. Comput. Appl. Math. 59, No. 3, 349-380 (1995). Reviewer: W.Gander (Zürich) MSC: 65F30 65F05 65F50 65Y05 35J05 65N06 PDFBibTeX XMLCite \textit{D. Calvetti} et al., J. Comput. Appl. Math. 59, No. 3, 349--380 (1995; Zbl 0839.65054) Full Text: DOI
Pickering, W. M.; Harley, P. J. Numerical solution of non-separable elliptic equations by the iterative application of FFT methods. (English) Zbl 0833.65114 Int. J. Comput. Math. 55, No. 3-4, 211-222 (1995). MSC: 65N06 65N22 65F10 65F05 35J05 PDFBibTeX XMLCite \textit{W. M. Pickering} and \textit{P. J. Harley}, Int. J. Comput. Math. 55, No. 3--4, 211--222 (1995; Zbl 0833.65114) Full Text: DOI
Belyavskij, S. S.; Mulyarchik, S. G.; Popov, A. V. A preconditioned method of conjugate gradients with double projecting. (English. Russian original) Zbl 0852.65032 Differ. Equations 30, No. 12, 1935-1943 (1994); translation from Differ. Uravn. 30, No. 12, 2106-2115 (1994). Reviewer: V.Chernyatin (Szczecin) MSC: 65F10 65F35 65N06 35J25 PDFBibTeX XMLCite \textit{S. S. Belyavskij} et al., Differ. Equations 30, No. 12, 1935--1943 (1994; Zbl 0852.65032); translation from Differ. Uravn. 30, No. 12, 2106--2115 (1994)
Joubert, Wayne; Oppe, Thomas Improved SSOR and incomplete Cholesky solution of linear equations on shared memory and distributed memory parallel computers. (English) Zbl 0838.65028 Numer. Linear Algebra Appl. 1, No. 3, 287-311 (1994). MSC: 65F10 65F35 65Y05 65N06 35J25 PDFBibTeX XMLCite \textit{W. Joubert} and \textit{T. Oppe}, Numer. Linear Algebra Appl. 1, No. 3, 287--311 (1994; Zbl 0838.65028) Full Text: DOI
Bialecki, Bernard Cyclic reduction and FACR methods for piecewise Hermite bicubic orthogonal spline collocation. (English) Zbl 0817.65093 Numer. Algorithms 8, No. 2-4, 167-184 (1994). Reviewer: G.Schmidt (Berlin) MSC: 65N35 65F05 35J25 PDFBibTeX XMLCite \textit{B. Bialecki}, Numer. Algorithms 8, No. 2--4, 167--184 (1994; Zbl 0817.65093) Full Text: DOI
Evans, D. J.; Yousif, W. S. The solution of unsymmetric tridiagonal Toeplitz systems by the strides reduction algorithm. (English) Zbl 0801.65021 Parallel Comput. 20, No. 5, 787-798 (1994). Reviewer: P.Narain (Bombay) MSC: 65F05 65M06 65Y05 35L45 PDFBibTeX XMLCite \textit{D. J. Evans} and \textit{W. S. Yousif}, Parallel Comput. 20, No. 5, 787--798 (1994; Zbl 0801.65021) Full Text: DOI
Sorokin, S. B. Numerical solution of elliptic problems with factorized operators. (English) Zbl 0906.65105 Bull. Novosib. Comput. Cent., Ser. Numer. Anal. 1994, No. 5, 87-103 (1994). Reviewer: N.I.Alexandrova (Novosibirsk) MSC: 65N06 35J05 65F05 PDFBibTeX XMLCite \textit{S. B. Sorokin}, Bull. Novosib. Comput. Cent., Ser. Numer. Anal. 1994, No. 5, 87--103 (1994; Zbl 0906.65105)
Il’in, V. P.; Larin, M. R. On iterative solution of Helmholtz’ equations on a sphere. (English) Zbl 0818.65094 Russ. J. Numer. Anal. Math. Model. 8, No. 4, 297-309 (1993). MSC: 65N06 65F10 65N12 35J05 PDFBibTeX XMLCite \textit{V. P. Il'in} and \textit{M. R. Larin}, Russ. J. Numer. Anal. Math. Model. 8, No. 4, 297--309 (1993; Zbl 0818.65094) Full Text: DOI
Kelleher, Kevin; Lakshmivarahan, S.; Dhall, Sudarshan On the performance of a direct parallel method for solving separable elliptic equations based on block cyclic reduction. (English) Zbl 0798.65097 Int. J. Comput. Math. 49, No. 1-2, 107-122 (1993). Reviewer: W.Schönauer (Karlsruhe) MSC: 65N06 65Y05 65F05 35J25 PDFBibTeX XMLCite \textit{K. Kelleher} et al., Int. J. Comput. Math. 49, No. 1--2, 107--122 (1993; Zbl 0798.65097) Full Text: DOI
Sander, Sergej A. Domain decomposition and rational approximation problems. (English) Zbl 0785.65113 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. 541-549 (1992). MSC: 65N55 65N30 65F35 65F10 35J25 PDFBibTeX XMLCite \textit{S. A. Sander}, in: Iterative methods in linear algebra. Proceedings of the IMACS international symposium, Brussels, Belgium, 2-4 April, 1991. Amsterdam: North-Holland. 541--549 (1992; Zbl 0785.65113)
Worley, Patrick H. Parallelizing across time when solving time-dependent partial differential equations. (English) Zbl 0801.65093 Dongarra, Jack (ed.) et al., Proceedings of the fifth SIAM conference on parallel processing for scientific computing, held in Houston, TX, USA, March 25-27, 1991. Philadelphia, PA: SIAM. 246-252 (1992). MSC: 65M55 65Y05 35K15 35L45 PDFBibTeX XMLCite \textit{P. H. Worley}, in: Proceedings of the fifth SIAM conference on parallel processing for scientific computing, held in Houston, TX, USA, March 25-27, 1991. Philadelphia, PA: SIAM. 246--252 (1992; Zbl 0801.65093)
Elman, Howard C.; Golub, Gene H. Line iterative methods for cyclically reduced discrete convection- diffusion problems. (English) Zbl 0752.65067 SIAM J. Sci. Stat. Comput. 13, No. 1, 339-363 (1992). Reviewer: P.Polcar (Brno) MSC: 65N06 65N12 65F10 65N22 35J25 PDFBibTeX XMLCite \textit{H. C. Elman} and \textit{G. H. Golub}, SIAM J. Sci. Stat. Comput. 13, No. 1, 339--363 (1992; Zbl 0752.65067) Full Text: DOI
Lotti, Grazia; Vajteršic, Marián The application of VLSI Poisson solvers to the biharmonic problem. (English) Zbl 0752.65071 Parallel Comput. 18, No. 1, 11-19 (1992). Reviewer: M.Plum (Clausthal-Zellerfeld) MSC: 65N22 65F10 65Y05 65N06 68W35 31A30 65Y20 35J40 PDFBibTeX XMLCite \textit{G. Lotti} and \textit{M. Vajteršic}, Parallel Comput. 18, No. 1, 11--19 (1992; Zbl 0752.65071) Full Text: DOI
Reid, Donald; Chan, Andrew; Al-Mudares, Mustafa A direct solution of Poisson’s equation in a three-dimensional field- effect transistor structure. (English) Zbl 0749.65071 J. Comput. Phys. 99, No. 1, 79-83 (1992). Reviewer: P.Burda (Praha) MSC: 65N22 65T50 65F05 35J05 78A55 PDFBibTeX XMLCite \textit{D. Reid} et al., J. Comput. Phys. 99, No. 1, 79--83 (1992; Zbl 0749.65071) Full Text: DOI
Wubs, F. W.; de Goede, E. D. An explicit-implicit method for a class of time-dependent partial differential equations. (English) Zbl 0749.65068 Appl. Numer. Math. 9, No. 2, 157-181 (1992). Reviewer: V.Makarov (Kiev) MSC: 65M20 65M55 65Y05 35K55 PDFBibTeX XMLCite \textit{F. W. Wubs} and \textit{E. D. de Goede}, Appl. Numer. Math. 9, No. 2, 157--181 (1992; Zbl 0749.65068) Full Text: DOI Link
Jwo, Jung-Sing; Lakshmivarahan, S.; Dhall, Sudarshan K. Comparison of performance of three parallel versions of the block cyclic reduction algorithm for solving linear elliptic partial differential equations. (English) Zbl 0769.65072 Comput. Math. Appl. 24, No. 5-6, 83-101 (1992). Reviewer: L.Bakule (Praha) MSC: 65N06 65F05 65Y05 65Y20 35J05 PDFBibTeX XMLCite \textit{J.-S. Jwo} et al., Comput. Math. Appl. 24, No. 5--6, 83--101 (1992; Zbl 0769.65072) Full Text: DOI
Kincaid, David R.; Oppe, Thomas C. Recent vectorization and parallelization of ITPACKV. (English) Zbl 0717.65017 Preconditioned conjugate gradient methods, Proc. Conf., Nijmegen/Neth. 1989, Lect. Notes Math. 1457, 58-78 (1990). Reviewer: J.P.Milaszewicz MSC: 65F10 65Y05 65N22 35-04 15-04 PDFBibTeX XML
Gallopoulos, E.; Saad, Y. Some fast elliptic solvers on parallel architectures and their complexities. (English) Zbl 0726.65027 Int. J. High Speed Comput. 1, No. 1, 113-141 (1989). MSC: 65F05 65N22 65Y05 65N06 65Y20 35J25 PDFBibTeX XMLCite \textit{E. Gallopoulos} and \textit{Y. Saad}, Int. J. High Speed Comput. 1, No. 1, 113--141 (1989; Zbl 0726.65027) Full Text: DOI
Reichel, Lothar The ordering of tridiagonal matrices in the cyclic reduction method for Poisson’s equation. (English) Zbl 0686.65067 Numer. Math. 56, No. 2-3, 215-227 (1989). Reviewer: H.Matthies MSC: 65N22 65F05 35J05 PDFBibTeX XMLCite \textit{L. Reichel}, Numer. Math. 56, No. 2--3, 215--227 (1989; Zbl 0686.65067) Full Text: DOI EuDML
Schwandt, Hartmut Truncated interval arithmetic block cyclic reduction. (English) Zbl 0684.65050 Appl. Numer. Math. 5, No. 6, 495-527 (1989). Reviewer: S.M.Markov MSC: 65H10 65N22 65G30 35K60 35J65 PDFBibTeX XMLCite \textit{H. Schwandt}, Appl. Numer. Math. 5, No. 6, 495--527 (1989; Zbl 0684.65050) Full Text: DOI
Swarztrauber, Paul N.; Sweet, Roland A. Vector and parallel methods for the direct solution of Poisson’s equation. (English) Zbl 0677.65097 J. Comput. Appl. Math. 27, No. 1-2, 241-263 (1989). Reviewer: P.Laasonen MSC: 65N22 65F05 65Y05 35J05 PDFBibTeX XMLCite \textit{P. N. Swarztrauber} and \textit{R. A. Sweet}, J. Comput. Appl. Math. 27, No. 1--2, 241--263 (1989; Zbl 0677.65097) Full Text: DOI
Gallopoulos, E.; Saad, Y. A parallel block cyclic reduction algorithm for the fast solution of elliptic equations. (English) Zbl 0676.65098 Parallel Comput. 10, No. 2, 143-159 (1989). Reviewer: E.D’yakonov MSC: 65N22 65F10 65Y05 35J05 PDFBibTeX XMLCite \textit{E. Gallopoulos} and \textit{Y. Saad}, Parallel Comput. 10, No. 2, 143--159 (1989; Zbl 0676.65098) Full Text: DOI Link
Hoshino, Tsutomu; Sato, Yoshiyuki; Asamoto, Yukiko Parallel Poisson solver FAGECR - Implementation and performance evaluation on PAX computer. (English) Zbl 0675.65101 J. Inf. Process. 12, No. 1, 20-26 (1988). Reviewer: P.Laasonen MSC: 65N22 65F05 35J05 PDFBibTeX XMLCite \textit{T. Hoshino} et al., J. Inf. Process. 12, No. 1, 20--26 (1988; Zbl 0675.65101)
Sander, S. A. Stable realization of the method of complete reduction. (English. Russian original) Zbl 0674.65063 Sov. Math. 32, No. 11, 121-125 (1988); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 1988, No. 11(318), 74-77 (1988). MSC: 65N12 65N22 65F05 35J25 PDFBibTeX XMLCite \textit{S. A. Sander}, Sov. Math. 32, No. 11, 121--125 (1988; Zbl 0674.65063); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 1988, No. 11(318), 74--77 (1988)
Sander, S. A. On stable realization of the method of complete reduction. (Russian) Zbl 0663.65095 Izv. Vyssh. Uchebn. Zaved., Mat. 1988, No. 11(318), 74-77 (1988). Reviewer: E.Lanckau MSC: 65N12 65N22 65F05 35J25 PDFBibTeX XMLCite \textit{S. A. Sander}, Izv. Vyssh. Uchebn. Zaved., Mat. 1988, No. 11(318), 74--77 (1988; Zbl 0663.65095)
Thompson, M. C.; Ferziger, J. H.; Golub, G. H. Block SOR applied to the cyclically-reduced equations as an efficient solution technique for convection-diffusion equations. (English) Zbl 0651.65075 Computational techniques and applications, Proc. Int. Conf., CTAC-3, Sydney/Aust. 1987, 637-646 (1988). Reviewer: E.Lanckau MSC: 65N22 65F10 35K20 PDFBibTeX XML
Briggs, William L.; Turnbull, Thomas Fast Poisson solvers for MIMD computers. (English) Zbl 0636.65105 Parallel Comput. 6, No. 3, 265-274 (1988). Reviewer: G.Jumarie MSC: 65N22 65F05 35J05 PDFBibTeX XMLCite \textit{W. L. Briggs} and \textit{T. Turnbull}, Parallel Comput. 6, No. 3, 265--274 (1988; Zbl 0636.65105) Full Text: DOI
Nikolaev, I. A.; Sukhinov, A. I. Additive schemes for modeling three-dimensional heat-conduction equations in cylindrical and spherical coordinates. (English. Russian original) Zbl 0668.65070 Differ. Equations 23, No. 12, 1434-1442 (1987); translation from Differ. Uravn. 23, No. 12, 2122-2132 (1987). Reviewer: R.D.Lazarov MSC: 65N12 65N06 35K05 PDFBibTeX XMLCite \textit{I. A. Nikolaev} and \textit{A. I. Sukhinov}, Differ. Equations 23, No. 12, 1434--1442 (1987; Zbl 0668.65070); translation from Differ. Uravn. 23, No. 12, 2122--2132 (1987)
Kightley, J. R.; Thompson, C. P. On the performance of some rapid elliptic solvers on a vector processor. (English) Zbl 0661.65100 SIAM J. Sci. Stat. Comput. 8, 701-715 (1987). Reviewer: S.F.McCormick MSC: 65N22 65F10 35J05 65Y05 PDFBibTeX XMLCite \textit{J. R. Kightley} and \textit{C. P. Thompson}, SIAM J. Sci. Stat. Comput. 8, 701--715 (1987; Zbl 0661.65100) Full Text: DOI
Swarztrauber, Paul N. Approximate cyclic reduction for solving Poisson’s equation. (English) Zbl 0644.65073 SIAM J. Sci. Stat. Comput. 8, 199-209 (1987). Reviewer: W.Velte MSC: 65N22 65F05 35J05 PDFBibTeX XMLCite \textit{P. N. Swarztrauber}, SIAM J. Sci. Stat. Comput. 8, 199--209 (1987; Zbl 0644.65073) Full Text: DOI
Schwandt, Hartmut Truncated algorithms for interval arithmetic block cyclic reduction. (English) Zbl 0657.65120 Computers and computing, Proc. Int. Conf. dedic. N. Gastinel, Grenoble/France 1985, Étud. Rech. Inf., 392-396 (1986). MSC: 65N22 65H10 65G30 35J65 PDFBibTeX XML
Chang, Sinchung Solution of elliptic PDEs by fast Poisson solvers using a local relaxation factor. (English) Zbl 0623.65104 J. Comput. Phys. 67, 91-123 (1986). Reviewer: V.Arnaŭtu (Iaşi) MSC: 65N22 65F10 35J25 76B15 PDFBibTeX XMLCite \textit{S. Chang}, J. Comput. Phys. 67, 91--123 (1986; Zbl 0623.65104) Full Text: DOI
Pickering, Morgan An introduction to fast Fourier transform methods for partial differential equations, with applications. (English) Zbl 0594.65002 Electronic & Electrical Engineering Research Studies. Applied and Engineering Mathematics Series, 4. Letchworth, Hertfordshire, England: Research Studies Press: New York etc.: John Wiley & Sons Ind. XI, 178 p. £23.00 (1986). Reviewer: H.R.Schwarz MSC: 65-02 65N22 65T40 65F30 42A15 35J45 PDFBibTeX XML
Ortega, James M.; Voigt, Robert G. Solution of partial differential equations on vector and parallel computers. (English) Zbl 0644.65075 SIAM Rev. 27, 149-240 (1985). Reviewer: J.P.Milaszewicz MSC: 65N22 65F05 65F10 65Y05 35J05 35J25 76D05 PDFBibTeX XMLCite \textit{J. M. Ortega} and \textit{R. G. Voigt}, SIAM Rev. 27, 149--240 (1985; Zbl 0644.65075) Full Text: DOI Link
Huang, Duo A block relaxation for the three-dimensional Poisson equation. (Chinese. English summary) Zbl 0604.65075 Math. Numer. Sin. 7, 332-336 (1985). MSC: 65N22 65F10 35J05 PDFBibTeX XMLCite \textit{D. Huang}, Math. Numer. Sin. 7, 332--336 (1985; Zbl 0604.65075)
Beard, S. J.; Hockney, R. W. POT4A - A program for the direct solution of Poisson’s equation in complex geometries. (English) Zbl 0578.65106 Comput. Phys. Commun. 36, 25-57 (1985). MSC: 65N22 65F05 35-04 35J05 PDFBibTeX XMLCite \textit{S. J. Beard} and \textit{R. W. Hockney}, Comput. Phys. Commun. 36, 25--57 (1985; Zbl 0578.65106) Full Text: DOI
Schmidt, Helmut; Schumann, Ulrich; Volkert, Hans; Ulrich, Wolfgang Three-dimensional, direct and vectorized elliptic solvers for various boundary conditions. (English) Zbl 0546.65074 DFVLR Mitteilung DFVLR-MITT. 84-15, 170 p. (1984). MSC: 65N22 35-04 35J05 PDFBibTeX XML
Liu, Ta-Jo Numerical solution of a parabolic system with coupled nonlinear boundary conditions. (English) Zbl 0533.65066 Int. J. Numer. Methods Eng. 20, 505-514 (1984). MSC: 65N22 65N12 35K60 65H10 80A32 PDFBibTeX XMLCite \textit{T.-J. Liu}, Int. J. Numer. Methods Eng. 20, 505--514 (1984; Zbl 0533.65066) Full Text: DOI
Duff, Iain S. Sparse matrix software for elliptic PDE’s. (English) Zbl 0505.65043 Multigrid methods, Proc. Conf., Köln-Porz 1981, Lect. Notes Math. 960, 410-426 (1982). MSC: 65N22 65F10 65F05 65-04 35J25 PDFBibTeX XML
Sander, S. A. Some variants of the method of cyclic reduction. (Russian) Zbl 0517.65080 Computations with sparse matrices, Mater. IV. All-Union Conf., Novosibirsk 1981, 123-133 (1981). MSC: 65N22 65F10 35J25 PDFBibTeX XML
Detyna, E. Rapid elliptic solvers. (English) Zbl 0492.65057 Sparse matrices and their uses, Proc. IMANA Conf., Reading 1980, 245-264 (1981). MSC: 65N22 65F05 35J25 65-02 PDFBibTeX XML
Vajtersic, Marian Coupled finite difference equation solvers based on the cyclic odd-even reduction approaches. (English) Zbl 0469.65013 Beitr. Numer. Math. 10, 191-202 (1981). MSC: 65E05 65N22 31A30 35J05 PDFBibTeX XMLCite \textit{M. Vajtersic}, Beitr. Numer. Math. 10, 191--202 (1981; Zbl 0469.65013)
Proskurowski, Wlodzimierz Capacitance matrix methods – a brief survey. (English) Zbl 0464.65013 Elliptic problem solvers, Proc. Conf., Santa Fe/N.M. 1980, 391-398 (1981). MSC: 65F05 65N22 35J05 PDFBibTeX XML
Lewis, John Gregg; Rehm, Ronald G. The numerical solution of a nonseparable elliptic partial differential equation by preconditioned conjugate gradients. (English) Zbl 0444.65070 J. Res. Natl. Bur. Stand. 85, 367-390 (1980). MSC: 65N22 65F10 35J25 PDFBibTeX XMLCite \textit{J. G. Lewis} and \textit{R. G. Rehm}, J. Res. Natl. Bur. Stand. 85, 367--390 (1980; Zbl 0444.65070) Full Text: DOI
Temperton, Clive On the FACR(l) algorithm for the discrete Poisson equation. (English) Zbl 0439.65084 J. Comput. Phys. 34, 314-329 (1980). MSC: 65N22 35J05 65Y05 65T40 65F05 PDFBibTeX XMLCite \textit{C. Temperton}, J. Comput. Phys. 34, 314--329 (1980; Zbl 0439.65084) Full Text: DOI
Hockney, R. W. Rapid elliptic solvers. (English) Zbl 0438.65088 Numerical methods in applied fluid dynamics, Proc. Conf., Reading/Engl. 1978, 1-48 (1980). MSC: 65N22 65F05 85A05 76X05 35J25 68Q25 76G25 78A25 PDFBibTeX XML
Swarztrauber, Paul N.; Sweet, Roland A. Efficient Fortran subprograms for the solution of separable elliptic partial differential equations \([D3]\). (English) Zbl 0419.35043 ACM Trans. Math. Softw. 5, 352-364 (1979). MSC: 35J99 90C05 35-04 PDFBibTeX XMLCite \textit{P. N. Swarztrauber} and \textit{R. A. Sweet}, ACM Trans. Math. Softw. 5, 352--364 (1979; Zbl 0419.35043) Full Text: DOI
Barker, Robert J. Advanced techniques for the direct, numerical solution of Poisson’s equation. (English) Zbl 0414.65063 Math. Models and numer. Methods, Banach Cent. Publ. 3, 255-268 (1978). MSC: 65N22 35J05 65F05 65N06 PDFBibTeX XML Full Text: EuDML Link