Shishkin, Grigory I.; Shishkina, Lidia P. Difference methods for singular perturbation problems. (English) Zbl 1163.65062 Chapman & Hall/CRC Monographs and Surveys in Pure and Applied Mathematics 140. Boca Raton, FL: CRC Press (ISBN 978-1-58488-459-0/hbk; 978-0-203-49241-3/ebook). xv, 393 p. (2009). Reviewer: Srinivasan Natesan (Assam) MSC: 65M06 65M12 65N12 35B25 65-02 65N06 35J65 35K57 65M55 65N55 65M50 65N50 PDFBibTeX XMLCite \textit{G. I. Shishkin} and \textit{L. P. Shishkina}, Difference methods for singular perturbation problems. Boca Raton, FL: CRC Press (2009; Zbl 1163.65062) Full Text: DOI
Anthonissen, Martijn Johannes Hermanus Local defect correction techniques: analysis and application to combustion. (English) Zbl 0989.80001 Eindhoven: TU Eindhoven. viii, 118 p. (2001). Reviewer: Jorge Ferreira (Maringá) MSC: 80-02 80A25 65N55 65N06 PDFBibTeX XMLCite \textit{M. J. H. Anthonissen}, Local defect correction techniques: analysis and application to combustion. Eindhoven: TU Eindhoven (2001; Zbl 0989.80001)
Nefedov, Vsevolod Numerical analysis of viscous flow using composite grids with applications to glass furnaces. (English) Zbl 0988.76007 Eindhoven: TU Eindhoven. 122 p. (2001). Reviewer: Vit Dolejsi (Praha) MSC: 76-02 76M20 76N15 80A20 PDFBibTeX XMLCite \textit{V. Nefedov}, Numerical analysis of viscous flow using composite grids with applications to glass furnaces. Eindhoven: TU Eindhoven (2001; Zbl 0988.76007)
Wesseling, Pieter Principles of computational fluid dynamics. (English) Zbl 0960.76002 Springer Series in Computational Mathematics. 29. Berlin: Springer. xii, 644 p. (2000). Reviewer: Vasile Ionescu (Bucureşti) MSC: 76-02 76Mxx 65Mxx PDFBibTeX XMLCite \textit{P. Wesseling}, Principles of computational fluid dynamics. Berlin: Springer (2000; Zbl 0960.76002)
Oswald, Hubertus Parallel solution of the instationary incompressible Navier-Stokes equations. (Parallele Lösung der instationären inkompressiblen Navier-Stokes Gleichungen.) (German) Zbl 1027.76001 Heidelberg: Univ. Heidelberg, Naturwissenschaftlich-Mathematische Gesamtfakultät, 108 S. (1998). Reviewer: Etienne Emmrich (Berlin) MSC: 76-02 76M10 76D05 65Y05 PDFBibTeX XMLCite \textit{H. Oswald}, Parallele Lösung der instationären inkompressiblen Navier-Stokes Gleichungen. Heidelberg: Univ. Heidelberg, Naturwissenschaftlich-Mathematische Ge\-samt\-fa\-kul\-tät (1998; Zbl 1027.76001)
Chen, Hongsen An \(L^ 2\)-and \(L^ \infty\)-error analysis for parabolic finite element equations with applications to superconvergence and error expansions. (English) Zbl 0830.65088 Heidelberg: Naturwiss.-Math. Fak., Univ. Heidelberg, ii, 134 p. (1993). MSC: 65M15 65M12 65M20 65M60 35K15 PDFBibTeX XMLCite \textit{H. Chen}, An \(L^ 2\)-and \(L^ \infty\)-error analysis for parabolic finite element equations with applications to superconvergence and error expansions. Heidelberg: Naturwiss.-Math. Fak., Univ. Heidelberg (1993; Zbl 0830.65088)
Luh, Yvonne Discretizations and multigrid algorithms for the solution of hyperbolic differential equations, on the example of the wave equation, the advection equation, and the generalized Stokes equations. (Diskretisierungen und Mehrgitteralgorithmen zur Lösung hyperbolischer Differentialgleichungen, am Beispiel der Wellengleichung, der Advektionsgleichung und der verallgemeinerten Stokes-Gleichungen.) (German) Zbl 0771.65060 Berichte der Gesellschaft für Mathematik und Datenverarbeitung (GMD- Berichte). 205. München: R. Oldenbourg Verlag. 233 S. (1992). Reviewer: Y.Luh (Bonn) MSC: 65M55 65M06 65M12 35L05 35L15 35Q30 PDFBibTeX XMLCite \textit{Y. Luh}, Diskretisierungen und Mehrgitteralgorithmen zur Lösung hyperbolischer Differentialgleichungen, am Beispiel der Wellengleichung, der Advektionsgleichung und der verallgemeinerten Stokes-Gleichungen. München: R. Oldenbourg Verlag (1992; Zbl 0771.65060)
Frehse, J. (ed.); Rannacher, R. (ed.) Extrapolation and defect correction. Tagungsband zu einem GAMM-Seminar 1990, Bonn, Germany. (English, German) Zbl 0745.00043 Bonner Mathematische Schriften. 228. Bonn: Univ. Bonn, Mathematisches Institut. 130 p. (1991). MSC: 00B25 65-06 PDFBibTeX XMLCite \textit{J. Frehse} (ed.) and \textit{R. Rannacher} (ed.), Extrapolation and defect correction. Tagungsband zu einem GAMM-Seminar 1990, Bonn, Germany. Bonn: Univ. Bonn, Mathematisches Institut (1991; Zbl 0745.00043)
Thoma, Martin Konvergenzverbesserung durch Defektkorrektur in der Methode der finiten Elemente für elliptische Randwertaufgaben. (Convergence acceleration by defect correction in the finite element method for elliptic boundary value problems). (German) Zbl 0726.65125 München: Univ. München, Fak. f. Math., Diss. 100 S. (1991). MSC: 65N30 74S05 65N15 35J25 PDFBibTeX XMLCite \textit{M. Thoma}, Konvergenzverbesserung durch Defektkorrektur in der Methode der finiten Elemente für elliptische Randwertaufgaben. (Convergence acceleration by defect correction in the finite element method for elliptic boundary value problems). München: Univ. München, Fak. f. Math. (1991; Zbl 0726.65125)
Schmitt, Bernhard A. Defektkorrekturen für Eigen-Randwertprobleme auf unendlichen Intervallen am Beispiel der Hartree-Fock-Gleichungen für Atome. (Defect corrections for eigen-boundary value problems on infinite intervals for the example of the Hartree-Fock equations for atoms.). (German) Zbl 0649.65049 Marburg (FRG): Univ. Marburg, Fachbereich Mathematik, Habilitationsschr. 89 S. (1988). Reviewer: B.A.Schmitt MSC: 65L15 65N25 65B05 65Z05 81Q05 34L99 35P15 35Q99 PDFBibTeX XML
Spekreijse, S. P. Multigrid solutions of the steady Euler equations. (English) Zbl 0649.76039 CWI Tract, 46. Amsterdam: Centrum voor Wiskunde en Informatica. 153 p. Dfl. 24.20 (1988). Reviewer: W.Wuest MSC: 76H05 76-02 76G25 65N22 65H10 35L65 76L05 PDFBibTeX XMLCite \textit{S. P. Spekreijse}, Multigrid solutions of the steady Euler equations. Amsterdam: Centrum voor Wiskunde en Informatica (1988; Zbl 0649.76039)
Bauch, H.; Jahn, K.-U.; Oelschlägel, D.; Süsse, H.; Wiebigke, V. Intervallmathematik. Theorie und Anwendungen. (Interval arithmetic. Theory and applications). (German) Zbl 0655.65070 Mathematisch-Naturwissenschaftliche Bibliothek, Bd. 72. Leipzig: BSB B. G. Teubner Verlagsgesellschaft. 260 S.; DM 28.00 (1987). Reviewer: H.Ratschek MSC: 65G30 65-02 65Fxx 65Hxx 65Lxx 65K05 PDFBibTeX XML
Heinrichs, Wilhelm Kollokationsverfahren und Mehrgittermethoden bei elliptischen Randwertaufgaben. (Collocation and multigrid methods for elliptic boundary value problems). (German) Zbl 0623.65122 Ber. Ges. Math. Datenverarb., Bonn 168, 142 S. (1987). MSC: 65N35 65F10 65N15 35J25 PDFBibTeX XML
Auzinger, Winfried DCMG0 1: A multigrid code with defect correction to solve \(\Delta U\)- c(x,y)U\(=f(x,y)\) (on \(\Omega\)), \(U=g(x,y)\) (on \(\partial\Omega)\) on nonrectangular bounded domains \(\Omega\) with high accuracy. (English) Zbl 0551.65069 Arbeitspapiere der GMD 127. St. Augustin: GMD. 24 p. (1985). MSC: 65N22 65F10 35-04 35J05 PDFBibTeX XMLCite \textit{W. Auzinger}, DCMG0 1: A multigrid code with defect correction to solve \(\Delta U\)- c(x,y)U\(=f(x,y)\) (on \(\Omega\)), \(U=g(x,y)\) (on \(\partial\Omega)\) on nonrectangular bounded domains \(\Omega\) with high accuracy. St. Augustin: GMD (1985; Zbl 0551.65069)
Böhmer, K. (ed.); Stetter, H. J. (ed.) Defect correction methods. Theory and applications. (English) Zbl 0545.00019 Computing Supplementum, 5. Wien-New York: Springer-Verlag. ix, 243 p. ÖS 480.00; DM 68.00; $ 20.00 (1984). MSC: 00B15 65-06 PDFBibTeX XML
Schippers, H. Multiple grid methods for equations of the second kind with applications in fluid mechanics. (English) Zbl 0525.65029 Mathematical Centre Tracts, 163. Amsterdam: Mathematisch Centrum. III, 133 p. Dfl. 19.10 (1983). MSC: 65J10 65R20 65-02 47A50 65N22 76B99 PDFBibTeX XML
Lindberg, Bengt Pointwise error estimation for finite element discretizations. II. (English) Zbl 0475.65071 TRITA-NA, R. Inst. Technol., Stockh. 8208, 39 p. (1982). MSC: 65N30 65N15 35J05 PDFBibTeX XML
Hemker, P. W. Mixed defect correction iteration for the accurate solution of the convection diffusion equation. (English) Zbl 0473.65067 Math. Cent., Amst., Afd. Numer. Wiskd. NW122/82, 17 p. (1982). MSC: 65N12 65N15 35K20 65N06 65F10 76R10 PDFBibTeX XML
Macsek, Franz Karl Asymptotische Entwicklungen bei der Defektkorrektur. (Dissertation). (German) Zbl 0484.65055 Technische Universität Wien. 56 S. (1981). MSC: 65L10 65L05 34B05 PDFBibTeX XML
Hemker, P. W. An accurate method without directional bias for the numerical solution of a 2-D elliptic singular perturbation problem. (English) Zbl 0473.65066 Math. Cent., Amst., Afd. Numer. Wiskd. NW 117/81, 15 p. (1981). MSC: 65N12 65N06 65N15 35B25 35J25 35K20 65F10 PDFBibTeX XML
van der Houwen, P. J. Defect correction iteration and splitting methods for time-dependent partial differential equations. (English) Zbl 0464.65077 Math. Cent., Amst., Afd. Numer. Wiskd. NW 116/81, 24 p. (1981). MSC: 65N40 65M20 65L10 65M12 65N12 35K60 PDFBibTeX XML