Wathen, Anthony Goddard Andy A note on parallel preconditioning for all-at-once evolutionary PDEs. (English) Zbl 1422.65232 ETNA, Electron. Trans. Numer. Anal. 51, 135-150 (2019). MSC: 65M20 65F08 65Y05 65F10 65M06 65N30 15B05 15A18 35K05 35L05 PDFBibTeX XMLCite \textit{A. G. A. Wathen}, ETNA, Electron. Trans. Numer. Anal. 51, 135--150 (2019; Zbl 1422.65232) Full Text: DOI arXiv Link
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 PDFBibTeX XMLCite \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)
Liska, Sebastian; Colonius, Tim A parallel fast multipole method for elliptic difference equations. (English) Zbl 1349.65700 J. Comput. Phys. 278, 76-91 (2014). MSC: 65Q10 65N06 39A60 65B10 PDFBibTeX XMLCite \textit{S. Liska} and \textit{T. Colonius}, J. Comput. Phys. 278, 76--91 (2014; Zbl 1349.65700) Full Text: DOI arXiv Link
Gong, Chunye; Bao, Weimin; Tang, Guojian A parallel algorithm for the Riesz fractional reaction-diffusion equation with explicit finite difference method. (English) Zbl 1312.65134 Fract. Calc. Appl. Anal. 16, No. 3, 654-669 (2013). MSC: 65M06 35R11 33E12 65Y05 PDFBibTeX XMLCite \textit{C. Gong} et al., Fract. Calc. Appl. Anal. 16, No. 3, 654--669 (2013; Zbl 1312.65134) Full Text: DOI
Calandra, Henri; Gratton, Serge; Pinel, Xavier; Vasseur, Xavier An improved two-grid preconditioner for the solution of three-dimensional Helmholtz problems in heterogeneous media. (English) Zbl 1313.65284 Numer. Linear Algebra Appl. 20, No. 4, 663-688 (2013). Reviewer: David Horák (Ostrava) MSC: 65N06 65F08 65N22 65N55 35J05 65N12 PDFBibTeX XMLCite \textit{H. Calandra} et al., Numer. Linear Algebra Appl. 20, No. 4, 663--688 (2013; Zbl 1313.65284) Full Text: DOI
Alberto, Angelines; Benet, Jesús; Arias, Enrique; Cebrian, David; Rojo, Tomás; Cuartero, Fernando A high performance tool for the simulation of the dynamic pantograph-catenary interaction. (English) Zbl 1152.78319 Math. Comput. Simul. 79, No. 3, 652-667 (2008). MSC: 78A55 78M20 PDFBibTeX XMLCite \textit{A. Alberto} et al., Math. Comput. Simul. 79, No. 3, 652--667 (2008; Zbl 1152.78319) Full Text: DOI
Hernández, Vicente; Ibáñez, Jacinto Javier; Peinado, Jesús; Arias, Enrique A GMRES-based BDF method for solving differential Riccati equations. (English) Zbl 1135.65340 Appl. Math. Comput. 196, No. 2, 613-626 (2008). MSC: 65L05 34A34 65L12 65F30 65F10 65H10 PDFBibTeX XMLCite \textit{V. Hernández} et al., Appl. Math. Comput. 196, No. 2, 613--626 (2008; Zbl 1135.65340) Full Text: DOI
Riyanti, C. D.; Kononov, A.; Erlangga, Y. A.; Vuik, C.; Oosterlee, C. W.; Plessix, R.-E.; Mulder, W. A. A parallel multigrid-based preconditioner for the 3D heterogeneous high-frequency Helmholtz equation. (English) Zbl 1120.65127 J. Comput. Phys. 224, No. 1, 431-448 (2007). MSC: 65N55 65N06 65Y05 65F10 65F35 35J05 86A15 PDFBibTeX XMLCite \textit{C. D. Riyanti} et al., J. Comput. Phys. 224, No. 1, 431--448 (2007; Zbl 1120.65127) Full Text: DOI Link
Mo, Zeyao Parallel adaptive solution for two dimensional 3-T energy equation on UG. (English) Zbl 1512.65319 Comput. Vis. Sci. 9, No. 3, 165-174 (2006). MSC: 65Y05 65M06 65M50 76M99 76X05 PDFBibTeX XMLCite \textit{Z. Mo}, Comput. Vis. Sci. 9, No. 3, 165--174 (2006; Zbl 1512.65319) Full Text: DOI
Douglas, Craig C.; Haase, Gundolf; Langer, Ulrich A tutorial on elliptic PDE solvers and their parallelization. (English) Zbl 1029.65121 Software - Environments - Tools. 16. Philadelphia, PA: SIAM Society for Industrial and Applied Mathematics. xviii, 135 p. (2003). Reviewer: Willi Schönauer (Karlsruhe) MSC: 65N06 65-01 65Y05 65F05 65F10 65Y20 65N30 65N55 35F05 35J25 PDFBibTeX XMLCite \textit{C. C. Douglas} et al., A tutorial on elliptic PDE solvers and their parallelization. Philadelphia, PA: SIAM Society for Industrial and Applied Mathematics (2003; Zbl 1029.65121) Full Text: DOI
Balls, Gregory T.; Colella, Phillip A finite difference domain decomposition method using local corrections for the solution of Poisson’s equation. (English) Zbl 1003.65140 J. Comput. Phys. 180, No. 1, 25-53 (2002). MSC: 65N55 35J05 65N15 65N06 65Y05 PDFBibTeX XMLCite \textit{G. T. Balls} and \textit{P. Colella}, J. Comput. Phys. 180, No. 1, 25--53 (2002; Zbl 1003.65140) Full Text: DOI
Elman, Howard C.; O’Leary, Dianne P. Efficient iterative solution of the three-dimensional Helmholtz equation. (English) Zbl 0929.65089 J. Comput. Phys. 142, No. 1, 163-181 (1998). Reviewer: Mária Lukáčová (Brno) MSC: 65N06 35J05 65F10 65F35 PDFBibTeX XMLCite \textit{H. C. Elman} and \textit{D. P. O'Leary}, J. Comput. Phys. 142, No. 1, 163--181 (1998; Zbl 0929.65089) Full Text: DOI Link