Li, Junpu; Fu, Zhuojia; Gu, Yan; Zhang, Lan Rapid calculation of large-scale acoustic scattering from complex targets by a dual-level fast direct solver. (English) Zbl 1524.65908 Comput. Math. Appl. 130, 1-9 (2023). MSC: 65N38 35J05 76Q05 65F10 65F50 65N35 78A45 35Q35 PDFBibTeX XMLCite \textit{J. Li} et al., Comput. Math. Appl. 130, 1--9 (2023; Zbl 1524.65908) Full Text: DOI
Vorozhtsov, Evgeniĭ Vasil’evich; Shapeev, Vasiliĭ Pavlovich A divergence-free method of collocations and least squares for the computation of incompressible fluid flows and its efficient implementation. (Russian. English summary) Zbl 1463.76020 Vestn. Samar. Gos. Tekh. Univ., Ser. Fiz.-Mat. Nauki 24, No. 3, 542-573 (2020). MSC: 76D05 76D17 76G25 76M22 76M30 PDFBibTeX XMLCite \textit{E. V. Vorozhtsov} and \textit{V. P. Shapeev}, Vestn. Samar. Gos. Tekh. Univ., Ser. Fiz.-Mat. Nauki 24, No. 3, 542--573 (2020; Zbl 1463.76020) Full Text: DOI MNR
Vorozhtsov, Evgenii V.; Shapeev, Vasily P. On the efficiency of combining different methods for acceleration of iterations at the solution of PDEs by the method of collocations and least residuals. (English) Zbl 1433.65244 Appl. Math. Comput. 363, Article ID 124644, 19 p. (2019). MSC: 65M70 PDFBibTeX XMLCite \textit{E. V. Vorozhtsov} and \textit{V. P. Shapeev}, Appl. Math. Comput. 363, Article ID 124644, 19 p. (2019; Zbl 1433.65244) Full Text: DOI
Ruan, Xinran A normalized gradient flow method with attractive-repulsive splitting for computing ground states of Bose-Einstein condensates with higher-order interaction. (English) Zbl 1415.65198 J. Comput. Phys. 367, 374-390 (2018). MSC: 65M06 65M70 81V70 35Q40 PDFBibTeX XMLCite \textit{X. Ruan}, J. Comput. Phys. 367, 374--390 (2018; Zbl 1415.65198) Full Text: DOI arXiv
Shapeev, Vasily P.; Vorozhtsov, Evgenii V. Symbolic-numerical optimization and realization of the method of collocations and least residuals for solving the Navier-Stokes equations. (English) Zbl 1453.76037 Gerdt, Vladimir P. (ed.) et al., Computer algebra in scientific computing. 18th international workshop, CASC 2016, Bucharest, Romania, September 19–23, 2016. Proceedings. Cham: Springer. Lect. Notes Comput. Sci. 9890, 473-488 (2016). MSC: 76D05 65M70 76M22 PDFBibTeX XMLCite \textit{V. P. Shapeev} and \textit{E. V. Vorozhtsov}, Lect. Notes Comput. Sci. 9890, 473--488 (2016; Zbl 1453.76037) Full Text: DOI
Zhu, Xingwen; Zhang, Lixiang A smoothing process of multicolor relaxation for solving partial differential equation by multigrid method. (English) Zbl 1407.65314 Math. Probl. Eng. 2014, Article ID 490156, 10 p. (2014). MSC: 65N35 65N55 PDFBibTeX XMLCite \textit{X. Zhu} and \textit{L. Zhang}, Math. Probl. Eng. 2014, Article ID 490156, 10 p. (2014; Zbl 1407.65314) Full Text: DOI
Tadmor, Eitan A review of numerical methods for nonlinear partial differential equations. (English) Zbl 1258.65073 Bull. Am. Math. Soc., New Ser. 49, No. 4, 507-554 (2012). MSC: 65Mxx 65-02 35K55 65L70 90B20 91G60 PDFBibTeX XMLCite \textit{E. Tadmor}, Bull. Am. Math. Soc., New Ser. 49, No. 4, 507--554 (2012; Zbl 1258.65073) Full Text: DOI
Shitrit, Shlomy; Sidilkover, David; Gelfgat, Alexander An algebraic multigrid solver for transonic flow problems. (English) Zbl 1391.76577 J. Comput. Phys. 230, No. 4, 1707-1729 (2011). MSC: 76M25 65M70 76H05 PDFBibTeX XMLCite \textit{S. Shitrit} et al., J. Comput. Phys. 230, No. 4, 1707--1729 (2011; Zbl 1391.76577) Full Text: DOI
Pasquetti, Richard; Rapetti, Francesca \(p\)-multigrid method for Fekete-Gauss spectral element approximations of elliptic problems. (English) Zbl 1364.65264 Commun. Comput. Phys. 5, No. 2-4, 667-682 (2009). MSC: 65N35 65N55 PDFBibTeX XMLCite \textit{R. Pasquetti} and \textit{F. Rapetti}, Commun. Comput. Phys. 5, No. 2--4, 667--682 (2009; Zbl 1364.65264) Full Text: Link
Seynaeve, Bert; Rosseel, Eveline; Nicolaï, Bart; Vandewalle, Stefan Fourier mode analysis of multigrid methods for partial differential equations with random coefficients. (English) Zbl 1120.65309 J. Comput. Phys. 224, No. 1, 132-149 (2007). MSC: 65C30 65N55 60H15 60H35 35R60 65N35 PDFBibTeX XMLCite \textit{B. Seynaeve} et al., J. Comput. Phys. 224, No. 1, 132--149 (2007; Zbl 1120.65309) Full Text: DOI Link
Alam, Jahrul M.; Kevlahan, Nicholas K.-R.; Vasilyev, Oleg V. Simultaneous space-time adaptive wavelet solution of nonlinear parabolic differential equations. (English) Zbl 1089.65103 J. Comput. Phys. 214, No. 2, 829-857 (2006). MSC: 65M70 35K55 35Q53 65M55 65M15 PDFBibTeX XMLCite \textit{J. M. Alam} et al., J. Comput. Phys. 214, No. 2, 829--857 (2006; Zbl 1089.65103) Full Text: DOI
Johnston, Hans; Liu, Jian-Guo Accurate, stable and efficient Navier-Stokes solvers based on explicit treatment of the pressure term. (English) Zbl 1127.76343 J. Comput. Phys. 199, No. 1, 221-259 (2004). MSC: 76M20 65M12 65M60 76D05 76M22 PDFBibTeX XMLCite \textit{H. Johnston} and \textit{J.-G. Liu}, J. Comput. Phys. 199, No. 1, 221--259 (2004; Zbl 1127.76343)
Karaa, Samir; Zhang, Jun Analysis of stationary iterative methods for the discrete convection–diffusion equation with a 9-point compact scheme. (English) Zbl 1029.65119 J. Comput. Appl. Math. 154, No. 2, 447-476 (2003). Reviewer: Evgenij D’yakonov (Moskva) MSC: 65N06 35J25 65F10 65N15 PDFBibTeX XMLCite \textit{S. Karaa} and \textit{J. Zhang}, J. Comput. Appl. Math. 154, No. 2, 447--476 (2003; Zbl 1029.65119) Full Text: DOI
Heuveline, Vincent On the computation of a very large number of eigenvalues for selfadjoint elliptic operators by means of multigrid methods. (English) Zbl 1016.65080 J. Comput. Phys. 184, No. 1, 321-337 (2003). MSC: 65N25 35P15 65N30 65N55 81Q10 PDFBibTeX XMLCite \textit{V. Heuveline}, J. Comput. Phys. 184, No. 1, 321--337 (2003; Zbl 1016.65080) Full Text: DOI