Lemarie-Rieusset, Pierre Gilles The Navier-Stokes problem in the 21st century. 2nd edition. (English) Zbl 07775147 Boca Raton, FL: CRC Press (ISBN 978-0-367-48726-3/hbk; 978-1-032-62373-3/pbk; 978-1-003-04259-4/ebook). (2023). MSC: 76D05 35-02 76N10 PDFBibTeX XML Full Text: DOI
Ramm, Alexander G. Analysis of the Navier-Stokes problem. Solution of a millennium problem. 2nd expanded edition. (English) Zbl 07731952 Synthesis Lectures on Mathematics & Statistics. Cham: Springer (ISBN 978-3-031-30722-5/hbk; 978-3-031-30725-6/pbk; 978-3-031-30723-2/ebook). xvi, 87 p. (2023). MSC: 35Q30 35-02 76D05 35A01 35A02 PDFBibTeX XMLCite \textit{A. G. Ramm}, Analysis of the Navier-Stokes problem. Solution of a millennium problem. 2nd expanded edition. Cham: Springer (2023; Zbl 07731952) Full Text: DOI
Gatto, Paolo Mathematical foundations of finite elements and iterative solvers. (English) Zbl 07581715 Computational Science & Engineering 26. Philadelphia, PA: Society for Industrial and Applied Mathematics (SIAM) (ISBN 978-1-61197-708-0/pbk; 978-1-61197-709-7/ebook). x, 176 p. (2022). Reviewer: Yan Xu (Hefei) MSC: 65-01 65M60 65N30 65Fxx PDFBibTeX XMLCite \textit{P. Gatto}, Mathematical foundations of finite elements and iterative solvers. Philadelphia, PA: Society for Industrial and Applied Mathematics (SIAM) (2022; Zbl 07581715) Full Text: DOI
Duffy, Dean G. Advanced engineering mathematics with MATLAB. 5th edition. (English) Zbl 1487.00002 Advances in Applied Mathematics (Boca Raton). Boca Raton, FL: CRC Press (ISBN 978-0-367-62405-7/hbk; 978-1-003-10930-3/ebook). xix, 595 p. (2022). MSC: 00A06 33F05 33F10 33F99 97F50 42A16 44A10 34B24 35L05 PDFBibTeX XMLCite \textit{D. G. Duffy}, Advanced engineering mathematics with MATLAB. 5th edition. Boca Raton, FL: CRC Press (2022; Zbl 1487.00002)
Hsiao, George C.; Wendland, Wolfgang L. Boundary integral equations. 2nd corrected and expanded edition. (English) Zbl 1477.65007 Applied Mathematical Sciences 164. Cham: Springer (ISBN 978-3-030-71126-9/hbk; 978-3-030-71129-0/pbk; 978-3-030-71127-6/ebook). xx, 783 p. (2021). Reviewer: Calin Ioan Gheorghiu (Cluj-Napoca) MSC: 65-02 65N38 35J25 65N12 31A10 31B10 35C15 35S15 78M15 74S15 76B03 76D07 PDFBibTeX XMLCite \textit{G. C. Hsiao} and \textit{W. L. Wendland}, Boundary integral equations. 2nd corrected and expanded edition. Cham: Springer (2021; Zbl 1477.65007) Full Text: DOI
Denisova, I. V.; Solonnikov, V. A. Motion of a drop in an incompressible fluid. Translated from the Russian. (English) Zbl 1511.76002 Advances in Mathematical Fluid Mechanics. Lecture Notes in Mathematical Fluid Mechanics. Cham: Birkhäuser (ISBN 978-3-030-70052-2/pbk; 978-3-030-70053-9/ebook). vii, 316 p. (2021). Reviewer: Thomas Eiter (Berlin) MSC: 76-02 76T06 76D03 35Q30 PDFBibTeX XMLCite \textit{I. V. Denisova} and \textit{V. A. Solonnikov}, Motion of a drop in an incompressible fluid. Translated from the Russian. Cham: Birkhäuser (2021; Zbl 1511.76002) Full Text: DOI
Gustafsson, Björn; Lin, Yu-Lin Laplacian growth on branched Riemann surfaces. (English) Zbl 1526.30032 Lecture Notes in Mathematics 2287. Cham: Springer (ISBN 978-3-030-69862-1/pbk; 978-3-030-69863-8/ebook). xii, 156 p. (2021). Reviewer: Mirela Kohr (Cluj-Napoca) MSC: 30C80 30F99 31C45 35Q30 76-02 PDFBibTeX XMLCite \textit{B. Gustafsson} and \textit{Y.-L. Lin}, Laplacian growth on branched Riemann surfaces. Cham: Springer (2021; Zbl 1526.30032) Full Text: DOI
Sritharan, S. S. Invariant manifold theory for hydrodynamic transition. Updated reprint of the 1990 original published by Longman Scientific & Technical and John Wiley. (English) Zbl 1406.76001 Mineola, NY: Dover Publications (ISBN 978-0-486-82828-2; 978-0-486-83686-7/ebook). vii, 140 p. (2019). MSC: 76-02 37C80 76D05 35Q30 PDFBibTeX XMLCite \textit{S. S. Sritharan}, Invariant manifold theory for hydrodynamic transition. Updated reprint of the 1990 original published by Longman Scientific \& Technical and John Wiley. Mineola, NY: Dover Publications (2019; Zbl 1406.76001)
Martynenko, Sergey I. The robust multigrid technique. For black-box software. (English) Zbl 1382.65450 Berlin: De Gruyter (ISBN 978-3-11-053755-0/hbk; 978-3-11-053926-4/ebook). xiii, 198 p. (2017). Reviewer: Constantin Popa (Constanţa) MSC: 65N55 65R20 45K05 65F10 65N12 65N50 35Q30 65-02 35J05 65Y05 PDFBibTeX XMLCite \textit{S. I. Martynenko}, The robust multigrid technique. For black-box software. Berlin: De Gruyter (2017; Zbl 1382.65450) Full Text: DOI
Meirmanov, Anvarbek; Galtsev, Oleg V.; Zimin, Reshat N. Free boundaries in rock mechanics. (English) Zbl 1405.76001 De Gruyter Series in Applied and Numerical Mathematics 1. Berlin: De Gruyter (ISBN 978-3-11-054490-9/hbk; 978-3-11-054616-3/ebook). ix, 210 p. (2017). Reviewer: Igor Bock (Bratislava) MSC: 76-02 76S05 74L10 74F10 35Q35 35Q74 35R35 PDFBibTeX XMLCite \textit{A. Meirmanov} et al., Free boundaries in rock mechanics. Berlin: De Gruyter (2017; Zbl 1405.76001) Full Text: DOI
Hackbusch, Wolfgang Theory and numerical analysis of elliptic differential equations. 4th revised edition. (Theorie und Numerik elliptischer Differentialgleichungen.) (German) Zbl 1360.65257 Heidelberg: Springer Spektrum (ISBN 978-3-658-15357-1/pbk; 978-3-658-15358-8/ebook). xiii, 400 p. (2017). Reviewer: Rolf Dieter Grigorieff (Berlin) MSC: 65Nxx 65-01 35-01 35Jxx 76D07 PDFBibTeX XMLCite \textit{W. Hackbusch}, Theorie und Numerik elliptischer Differentialgleichungen. 4th revised edition. Heidelberg: Springer Spektrum (2017; Zbl 1360.65257) Full Text: DOI
Duffy, Dean G. Advanced engineering mathematics with MATLAB. 4th edition. (English) Zbl 1354.00004 Advances in Applied Mathematics (Boca Raton). Boca Raton, FL: CRC Press (ISBN 978-1-4987-3964-1/hbk; 978-1-4987-3967-2/ebook). xxiii, 980 p. (2017). MSC: 00A06 33F05 33F10 33F99 97F50 42A16 44A10 34B24 35L05 PDFBibTeX XMLCite \textit{D. G. Duffy}, Advanced engineering mathematics with MATLAB. 4th edition. Boca Raton, FL: CRC Press (2017; Zbl 1354.00004) Full Text: Link
Nečasová, Šárka; Kračmar, Stanislav Navier-Stokes flow around a rotating obstacle. Mathematical analysis of its asymptotic behavior. (English) Zbl 1357.76004 Atlantis Briefs in Differential Equations 3. Amsterdam: Atlantis Press (ISBN 978-94-6239-230-4/hbk; 978-94-6239-231-1/ebook). x, 96 p. (2016). Reviewer: Bernard Ducomet (Bruyères le Châtel) MSC: 76-02 76D03 76D05 35Q30 PDFBibTeX XMLCite \textit{Š. Nečasová} and \textit{S. Kračmar}, Navier-Stokes flow around a rotating obstacle. Mathematical analysis of its asymptotic behavior. Amsterdam: Atlantis Press (2016; Zbl 1357.76004) Full Text: DOI
Ruas, Vitoriano Numerical methods for partial differential equations. An introduction. With an errata sheet prepared by the author. (English) Zbl 1350.65100 Hoboken, NJ: John Wiley & Sons (ISBN 978-1-119-11135-1/hbk). xxxiii, 300 p. (2016). Reviewer: Calin Ioan Gheorghiu (Cluj-Napoca) MSC: 65M22 65N22 65-01 65F05 65M06 65M08 65M12 65M60 65N06 65N08 65N12 65N30 65N50 35-01 74B05 76D05 65L10 34B15 35J05 35K05 35L05 PDFBibTeX XMLCite \textit{V. Ruas}, Numerical methods for partial differential equations. An introduction. With an errata sheet prepared by the author. Hoboken, NJ: John Wiley \& Sons (2016; Zbl 1350.65100)
Mitschi, Claude; Sauzin, David Divergent series, summability and resurgence I. Monodromy and resurgence. (English) Zbl 1355.34003 Lecture Notes in Mathematics 2153. Cham: Springer (ISBN 978-3-319-28735-5/pbk; 978-3-319-28736-2/ebook). xxi, 298 p. (2016). Reviewer: Vladimir P. Kostov (Nice) MSC: 34-02 34M55 34M30 40-02 PDFBibTeX XMLCite \textit{C. Mitschi} and \textit{D. Sauzin}, Divergent series, summability and resurgence I. Monodromy and resurgence. Cham: Springer (2016; Zbl 1355.34003) Full Text: DOI
Bartels, Sören Numerical approximation of partial differential equations. (English) Zbl 1353.65089 Texts in Applied Mathematics 64. Cham: Springer (ISBN 978-3-319-32353-4/hbk; 978-3-319-32354-1/ebook). xv, 535 p. (2016). Reviewer: Rolf Dieter Grigorieff (Berlin) MSC: 65Mxx 65Nxx 65M06 65M60 65N06 65N22 65N30 65N50 65N55 65-02 65N08 65M08 35J25 35K05 65F08 74S05 74B05 74K20 78A25 78M10 76D05 76M10 35L05 PDFBibTeX XMLCite \textit{S. Bartels}, Numerical approximation of partial differential equations. Cham: Springer (2016; Zbl 1353.65089) Full Text: DOI
Lemarié-Rieusset, Pierre Gilles The Navier-Stokes problem in the 21st century. (English) Zbl 1342.76029 Boca Raton, FL: CRC Press (ISBN 978-1-4665-6621-7/hbk; 978-1-4665-6623-1/ebook). xxii, 718 p. (2016). Reviewer: Titus Petrila (Cluj-Napoca) MSC: 76D05 35-02 76N10 PDFBibTeX XMLCite \textit{P. G. Lemarié-Rieusset}, The Navier-Stokes problem in the 21st century. Boca Raton, FL: CRC Press (2016; Zbl 1342.76029) Full Text: DOI
Łukaszewicz, Grzegorz; Kalita, Piotr Navier-Stokes equations. An introduction with applications. (English) Zbl 1352.35001 Advances in Mechanics and Mathematics 34. Cham: Springer (ISBN 978-3-319-27758-5/hbk; 978-3-319-27760-8/ebook). xiv, 390 p. (2016). Reviewer: Piotr Biler (Wrocław) MSC: 35-02 35Q35 76D05 35B41 35Q30 76D08 PDFBibTeX XMLCite \textit{G. Łukaszewicz} and \textit{P. Kalita}, Navier-Stokes equations. An introduction with applications. Cham: Springer (2016; Zbl 1352.35001) Full Text: DOI
Beirão da Veiga, Lourenço; Lipnikov, Konstantin; Manzini, Gianmarco The mimetic finite difference method for elliptic problems. (English) Zbl 1286.65141 MS&A. Modeling, Simulation and Applications 11. Cham: Springer (ISBN 978-3-319-02662-6/hbk; 978-3-319-02663-3/ebook). xvi, 392 p. (2014). Reviewer: Marius Ghergu (Dublin) MSC: 65N06 65-02 35J25 35Q30 35Q61 76D07 74S20 76M20 PDFBibTeX XMLCite \textit{L. Beirão da Veiga} et al., The mimetic finite difference method for elliptic problems. Cham: Springer (2014; Zbl 1286.65141) Full Text: DOI
Han, Houde; Wu, Xiaonan Artificial boundary method. (English) Zbl 1277.65105 Berlin: Springer; Beijing: Tsinghua University Press (ISBN 978-3-642-35463-2/hbk; 978-7-302-30390-9/hbk; 978-3-642-35464-9/ebook). viii, 423 p. (2013). Reviewer: Andreas Kleefeld (Cottbus) MSC: 65N38 76M15 65-02 65N30 35J05 35J25 76D05 65M38 35K05 35Q41 65N15 65M15 35L05 35Q40 35Q53 65N12 65M12 65M06 PDFBibTeX XMLCite \textit{H. Han} and \textit{X. Wu}, Artificial boundary method. Berlin: Springer; Beijing: Tsinghua University Press (2013; Zbl 1277.65105) Full Text: DOI
Boffi, Daniele; Brezzi, Franco; Fortin, Michel Mixed finite element methods and applications. (English) Zbl 1277.65092 Springer Series in Computational Mathematics 44. Berlin: Springer (ISBN 978-3-642-36518-8/hbk; 978-3-642-36519-5/ebook). xiv, 685 p. (2013). Reviewer: Calin Ioan Gheorghiu (Cluj-Napoca) MSC: 65N30 74S05 76M10 78M10 65-02 65N25 65N15 65N12 35J25 74B05 78A25 76D07 35P15 35J40 PDFBibTeX XMLCite \textit{D. Boffi} et al., Mixed finite element methods and applications. Berlin: Springer (2013; Zbl 1277.65092) Full Text: DOI
Ben-Artzi, Matania; Croisille, Jean-Pierre; Fishelov, Dalia Navier-Stokes equations in planar domains. (English) Zbl 1273.35002 London: Imperial College Press (ISBN 978-1-84816-275-4/hbk; 978-1-78326-301-1/ebook). xii, 302 p. (2013). Reviewer: Oleg Dementiev (Chelyabinsk) MSC: 35-02 35Q30 76D05 76N10 PDFBibTeX XMLCite \textit{M. Ben-Artzi} et al., Navier-Stokes equations in planar domains. London: Imperial College Press (2013; Zbl 1273.35002) Full Text: DOI
Kramer, Stephan C. CUDA-based scientific computing. Tools and selected applications. (English) Zbl 1286.65191 Göttingen: Univ. Göttingen (Diss.). 162 p. (2012). MSC: 65Z05 65Fxx 62H25 82D37 92D20 35Q30 81V55 PDFBibTeX XMLCite \textit{S. C. Kramer}, CUDA-based scientific computing. Tools and selected applications. Göttingen: Univ. Göttingen (Diss.) (2012; Zbl 1286.65191) Full Text: Link
Oshima, Toshio Fractional calculus of Weyl algebra and Fuchsian differential equations. (English) Zbl 1269.34003 MSJ Memoirs 28. Tokyo: Mathematical Society of Japan (ISBN 978-4-86497-016-7/pbk). xix, 203 p. (2012). Reviewer: Shun Shimomura (Yokohama) MSC: 34-02 34M35 34A05 34A25 34C20 34M40 34M50 PDFBibTeX XMLCite \textit{T. Oshima}, Fractional calculus of Weyl algebra and Fuchsian differential equations. Tokyo: Mathematical Society of Japan (2012; Zbl 1269.34003) Full Text: DOI arXiv Link
Hasnedlová, Jaroslava Fluid-structure interaction of compressible flow. (English) Zbl 1278.76002 Prague: Univ. Prague, Faculty of Mathematics and Physics; Heidelberg: Univ. Heidelberg, Naturwissenschaftlich-Mathematische Gesamtfakultät (Diss.). ix, 132 p. (2012). Reviewer: Peter A. Velmisov (Ul’yanovsk) MSC: 76-02 76M10 76N15 76Z05 76Q05 74F10 92C10 PDFBibTeX XMLCite \textit{J. Hasnedlová}, Fluid-structure interaction of compressible flow. Prague: Univ. Prague, Faculty of Mathematics and Physics; Heidelberg: Univ. Heidelberg, Naturwissenschaftlich-Mathematische Gesamtfakultät (Diss.) (2012; Zbl 1278.76002) Full Text: Link
Mitrea, Marius; Wright, Matthew Boundary value problems for the Stokes system in arbitrary Lipschitz domains. (English) Zbl 1345.35076 Astérisque 344. Paris: Société Mathématique de France (SMF). (ISBN 978-2-85629-343-0/pbk). viii, 241 p. (2012). Reviewer: Isabelle Gruais (MR2987056) MSC: 35-02 35Q35 35J25 45B05 31B10 65N99 76D07 35B65 PDFBibTeX XMLCite \textit{M. Mitrea} and \textit{M. Wright}, Boundary value problems for the Stokes system in arbitrary Lipschitz domains. Paris: Société Mathématique de France (SMF). (2012; Zbl 1345.35076)
Deuflhard, Peter; Weiser, Martin Adaptive numerical solution of PDEs. (English) Zbl 1268.65146 de Gruyter Textbook. Berlin: de Gruyter (ISBN 978-3-11-028310-5/pbk; 978-3-11-028311-2/ebook). xi, 421 p. (2012). Reviewer: Thomas Sonar (Braunschweig) MSC: 65N22 65M22 65-02 65M15 65M60 65N15 65N30 65N12 65F05 65F08 65N55 65N50 65N06 65N35 65Y15 35J05 35J60 35L05 35Q41 35Q30 35Q61 PDFBibTeX XMLCite \textit{P. Deuflhard} and \textit{M. Weiser}, Adaptive numerical solution of PDEs. Berlin: de Gruyter (2012; Zbl 1268.65146) Full Text: DOI
Zeytounian, Radyadour Kh. Navier-Stokes-Fourier equations. A rational asymptotic modelling point of view. (English) Zbl 1242.76005 Berlin: Springer (ISBN 978-3-642-20745-7/hbk; 978-3-642-20746-4/ebook). xvi, 276 p. (2012). Reviewer: Luisa Consiglieri (Lisboa) MSC: 76-02 76N10 76M45 35Q30 80A20 PDFBibTeX XMLCite \textit{R. Kh. Zeytounian}, Navier-Stokes-Fourier equations. A rational asymptotic modelling point of view. Berlin: Springer (2012; Zbl 1242.76005) Full Text: DOI
Galvis, Juan; Versieux, Henrique Introduction to the numerical approximation of partial differential equations via the finite-element method. 28th Brazilian Mathematics Colloquium, Rio de Janeiro, Brazil, July 2011. (Introduçáo à aproximaçáo numérica de equações diferenciais parciais via o método de elementos finitos. 28\(^\circ\) Colóquio Brasileiro de Matemática, Rio de Janeiro, Brasil, Julho 2011.) (Portuguese) Zbl 1241.65099 Publicações Matemáticas do IMPA. Rio de Janeiro: Instituto Nacional de Matemática Pura e Aplicada (IMPA) (ISBN 978-85-244-0325-5). 91 p., open access (2011). Reviewer: Luis Filipe Pinheiro de Castro (Aveiro) MSC: 65N30 65M60 76M10 35K05 35J05 65N15 65M15 35J25 76D07 65-01 PDFBibTeX XMLCite \textit{J. Galvis} and \textit{H. Versieux}, Introduçáo à aproximaçáo numérica de equações diferenciais parciais via o método de elementos finitos. 28\(^\circ\) Colóquio Brasileiro de Matemática, Rio de Janeiro, Brasil, Julho 2011 (Portuguese). Rio de Janeiro: Instituto Nacional de Matemática Pura e Aplicada (IMPA) (2011; Zbl 1241.65099) Full Text: Link
Fischer, Bernd Polynomial based iteration methods for symmetric linear systems. (English) Zbl 1223.65023 Classics in Applied Mathematics 68. Philadelphia, PA: Society for Industrial and Applied Mathematics (SIAM) (ISBN 978-1-611971-91-0/pbk; 978-1-611971-92-7/ebook). 283 p. (2011). MSC: 65F10 65-02 35J25 65N30 PDFBibTeX XMLCite \textit{B. Fischer}, Polynomial based iteration methods for symmetric linear systems. Philadelphia, PA: Society for Industrial and Applied Mathematics (SIAM) (2011; Zbl 1223.65023) Full Text: DOI Link
Duffy, Dean G. Advanced engineering mathematics with MATLAB. 3rd edition. (English) Zbl 1210.00010 Boca Raton, FL: CRC Press (ISBN 978-1-4398-1624-0/hbk). 1079 p. (2011). Reviewer: Cristinel Mortici (Targoviste) MSC: 00A06 33F05 33F10 33F99 97F50 42A16 44A10 34B24 35L05 PDFBibTeX XMLCite \textit{D. G. Duffy}, Advanced engineering mathematics with MATLAB. 3rd edition. Boca Raton, FL: CRC Press (2011; Zbl 1210.00010)
Laurent-Thiébaut, Christine Holomorphic function theory in several variables. An introduction. Transl. from the French. (English) Zbl 1207.32001 Universitext. London: Springer; Paris: EDP Sciences (ISBN 978-0-85729-029-8/pbk; 978-0-85729-030-4/ebook; 978-2-7598-0083-4). xiii, 252 p. (2011). Reviewer: Pawel Zapalowski (Kraków) MSC: 32-02 32C30 58A05 32A25 PDFBibTeX XMLCite \textit{C. Laurent-Thiébaut}, Holomorphic function theory in several variables. An introduction. Transl. from the French. London: Springer; Paris: EDP Sciences (2011; Zbl 1207.32001) Full Text: DOI
Reddy, J. N.; Gartling, David K. The finite element method in heat transfer and fluid dynamics. 3rd ed. (English) Zbl 1257.80001 CRC Series in Computational Mechanics and Applied Analysis. Boca Raton, FL: CRC Press (ISBN 978-1-4200-8598-3/hbk). xiii, 500 p. (2010). Reviewer: Georg Hebermehl (Berlin) MSC: 80-01 76-01 80M10 76M10 80M20 76M20 65Z05 65M60 65M06 65N30 65Y05 80A20 80A32 80A22 76D05 76Rxx 76S05 76A10 76F65 76A05 78A25 78M10 74A05 74S05 97M50 PDFBibTeX XMLCite \textit{J. N. Reddy} and \textit{D. K. Gartling}, The finite element method in heat transfer and fluid dynamics. 3rd ed. Boca Raton, FL: CRC Press (2010; Zbl 1257.80001)
Prill, Florian Discontinuous Galerkin methods and fast iterative solvers for the simulation of compressible flows. (Diskontinuierliche Galerkin-Methoden and schnelle iterative Löser zur Simulation kompressibler Strömungen.) (German) Zbl 1282.76004 DLR Forschungsbericht 2010-17. Köln: DLR, Deutsches Zentrum für Luft- und Raumfahrt; Hamburg: TU Hamburg-Harburg (Diss.). xvii, 277 p. (2010). MSC: 76-02 76M10 76N15 65F10 PDFBibTeX XMLCite \textit{F. Prill}, Diskontinuierliche Galerkin-Methoden and schnelle iterative Löser zur Simulation kompressibler Strömungen. Köln: DLR, Deutsches Zentrum für Luft- und Raumfahrt; Hamburg: TU Hamburg-Harburg (Diss.) (2010; Zbl 1282.76004)
Harinck, Pascale (ed.); Plagne, Alain (ed.); Sabbah, Claude (ed.) Mathematical facets of fluid mechanics. Papers from the mathematical days X-UPS 2010. (Facettes mathématiques de la mécanique des fluides. Journées mathématiques X-UPS 2010.) (French) Zbl 1210.76002 Palaiseau: Les Éditions de l’École Polytechnique (ISBN 978-2-7302-1578-7/pbk). v, 111 p. (2010). Reviewer: Alain Brillard (Riedisheim) MSC: 76-02 76D03 35Q30 35Q35 00B15 PDFBibTeX XMLCite \textit{P. Harinck} (ed.) et al., Facettes mathématiques de la mécanique des fluides. Journées mathématiques X-UPS 2010. Palaiseau: Les Éditions de l'École Polytechnique (2010; Zbl 1210.76002)
Hackbusch, Wolfgang Elliptic differential equations: theory and numerical treatment. Transl. from the German by Regine Fadiman and Patrick D. F. Ion. Paperback reprint of 1992 hardback edition. (English) Zbl 1205.35060 Springer Series in Computational Mathematics 18. Dordrecht: Springer (ISBN 978-3-642-05244-6/pbk; 978-3-642-11490-8/ebook). xiv, 311 p. (2010). Reviewer: Michael Jung (Dresden) MSC: 35J15 35J30 35J25 35J40 65N30 65N06 35B65 35-01 65-01 PDFBibTeX XMLCite \textit{W. Hackbusch}, Elliptic differential equations: theory and numerical treatment. Transl. from the German by Regine Fadiman and Patrick D. F. Ion. Paperback reprint of 1992 hardback edition. Dordrecht: Springer (2010; Zbl 1205.35060)
Kohno, Toshitake Geometry of iterated integrals. (Hanpuku sekibun no kikagaku). (Japanese) Zbl 1305.26004 Tokyo: Springer (ISBN 978-4-431-70669-4). vii, 295 p. (2009). Reviewer: Hirokazu Nishimura (Tsukuba) MSC: 26-01 26B20 28A25 49Q15 PDFBibTeX XMLCite \textit{T. Kohno}, Geometry of iterated integrals. (Hanpuku sekibun no kikagaku) (Japanese). Tokyo: Springer (2009; Zbl 1305.26004)
Urban, Karsten Wavelet methods for elliptic partial differential equations. (English) Zbl 1158.65002 Numerical Mathematics and Scientific Computation. Oxford: Oxford University Press (ISBN 978-0-19-852605-6/hbk). xxvii, 480 p. (2009). Reviewer: Michael Jung (Dresden) MSC: 65-02 65T60 65N30 65N22 42C40 PDFBibTeX XMLCite \textit{K. Urban}, Wavelet methods for elliptic partial differential equations. Oxford: Oxford University Press (2009; Zbl 1158.65002) Full Text: DOI Link
Bochev, Pavel B.; Gunzburger, Max D. Least-squares finite element methods. (English) Zbl 1168.65067 Applied Mathematical Sciences 166. New York, NY: Springer (ISBN 978-0-387-30888-3/hbk; 978-0-387-68922-7/ebook). xxii, 660 p. (2009). Reviewer: Dietrich Braess (Bochum) MSC: 65N30 35Q60 35K15 35L15 65M55 65N55 65M60 35J05 46E35 35Q30 PDFBibTeX XMLCite \textit{P. B. Bochev} and \textit{M. D. Gunzburger}, Least-squares finite element methods. New York, NY: Springer (2009; Zbl 1168.65067) Full Text: DOI
Shargorodsky, E.; Toland, J. F. Bernoulli free-boundary problems. (English) Zbl 1167.35001 Mem. Am. Math. Soc. 914, 70 p. (2008). Reviewer: Jürgen Socolowsky (Brandenburg an der Havel) MSC: 35-02 35R35 76B07 35Q15 35B38 35B65 PDFBibTeX XMLCite \textit{E. Shargorodsky} and \textit{J. F. Toland}, Bernoulli free-boundary problems. Providence, RI: American Mathematical Society (AMS) (2008; Zbl 1167.35001) Full Text: DOI
Repin, Sergey A posteriori estimates for partial differential equations. (English) Zbl 1162.65001 Radon Series on Computational and Applied Mathematics 4. Berlin: de Gruyter (ISBN 978-3-11-019153-0/hbk). xi, 316 p. (2008). Reviewer: Fumio Kikuchi (Tokyo) MSC: 65-02 65N15 74S05 76M10 65N30 74B05 35J25 76D05 35Q30 35J85 PDFBibTeX XMLCite \textit{S. Repin}, A posteriori estimates for partial differential equations. Berlin: de Gruyter (2008; Zbl 1162.65001) Full Text: DOI
Vazquez, Rafael; Krstic, Miroslav Control of turbulent and magnetohydrodynamic channel flows. Boundary stabilization and state estimation. (English) Zbl 1136.76001 Systems and Control: Foundations and Applications. Boston, MA: Birkhäuser (ISBN 978-0-8176-4698-1/hbk). x, 211 p. (2008). Reviewer: Bernard Ducomet (Bruyères le Châtel) MSC: 76-02 76F70 76W05 76D55 PDFBibTeX XMLCite \textit{R. Vazquez} and \textit{M. Krstic}, Control of turbulent and magnetohydrodynamic channel flows. Boundary stabilization and state estimation. Boston, MA: Birkhäuser (2008; Zbl 1136.76001)
Didenko, Victor D.; Silbermann, Bernd Approximation of additive convolution-like operators. Real C*-algebra approach. (English) Zbl 1160.65002 Frontiers in Mathematics. Basel: Birkhäuser (ISBN 978-3-7643-8750-1/pbk). xii, 306 p. (2008). Reviewer: Roland Duduchava (Tbilisi) MSC: 65-02 65N38 31A10 31A30 35Q15 45A05 45B05 45Exx 45L05 74B10 74G15 47B35 47Gxx 47N40 65E05 65Jxx 65R20 74Kxx 74S15 76D05 76M15 PDFBibTeX XMLCite \textit{V. D. Didenko} and \textit{B. Silbermann}, Approximation of additive convolution-like operators. Real C*-algebra approach. Basel: Birkhäuser (2008; Zbl 1160.65002)
Dintelmann, Eva Charlotte Fluids in the exterior domain of several moving obstacles. (English) Zbl 1151.35069 Berlin: Wissenschaftlicher Verlag Berlin WVB; Darmstadt: Univ. Darmstadt, FB Mathematik (Dissertation) (ISBN 978-3-86573-311-5/pbk). xv, 111 p. (2007). Reviewer: Il’ya Sh. Mogilevskij (Tver’) MSC: 35Q30 76D05 76D07 76D03 PDFBibTeX XMLCite \textit{E. C. Dintelmann}, Fluids in the exterior domain of several moving obstacles. Berlin: Wissenschaftlicher Verlag Berlin WVB; Darmstadt: Univ. Darmstadt, FB Mathematik (Dissertation) (2007; Zbl 1151.35069)
Wiedl, Julian Analysis of Ornstein–Uhlenbeck operators. (English) Zbl 1159.47058 Berichte aus der Mathematik. Aachen: Shaker Verlag; Darmstadt: Univ. Darmstadt, Fachbereich Mathematik (Diss.) (ISBN 978-3-8322-6717-9/pbk). xi, 127 p. (2007). Reviewer: Michael Högele (Berlin) MSC: 47N30 60G15 47F05 35K15 35P15 35C15 PDFBibTeX XMLCite \textit{J. Wiedl}, Analysis of Ornstein--Uhlenbeck operators. Aachen: Shaker Verlag; Darmstadt: Univ. Darmstadt, Fachbereich Mathematik (Diss.) (2007; Zbl 1159.47058)
Axthelm, Rebekka Numerical simulation of two-phase flows by incompressible Navier-Stokes equations and free capillary boundary. With DVD. (Numerische Simulation von zwei-Phasen Strömungen mit inkompressiblen Navier-Stokes Gleichungen und freiem Kapillarrand. Mit DVD.) (German) Zbl 1151.76301 Freiburg im Breisgau: Univ. Freiburg, Fakultät für Mathematik und Physik (Dissertation). 123 p. (2007). MSC: 76-02 76D05 76D50 76D45 76M10 PDFBibTeX XMLCite \textit{R. Axthelm}, Numerische Simulation von zwei-Phasen Strömungen mit inkompressiblen Navier-Stokes Gleichungen und freiem Kapillarrand. Mit DVD. Freiburg im Breisgau: Univ. Freiburg, Fakultät für Mathematik und Physik (Dissertation) (2007; Zbl 1151.76301)
Fokas, Athanassios S.; Its, Alexander R.; Kapaev, Andrei A.; Novokshenov, Victor Yu. Painlevé transcendents. The Riemann-Hilbert approach. (English) Zbl 1111.34001 Mathematical Surveys and Monographs 128. Providence, RI: American Mathematical Society (AMS) (ISBN 0-8218-3651-X/hbk). xii, 553 p. (2006). Reviewer: Vladimir P. Kostov (Nice) MSC: 34-02 34M55 PDFBibTeX XMLCite \textit{A. S. Fokas} et al., Painlevé transcendents. The Riemann-Hilbert approach. Providence, RI: American Mathematical Society (AMS) (2006; Zbl 1111.34001)
Lenzinger, Michael Viscous fluid flow in bifurcating channels and pipes. (English) Zbl 1122.76024 Heidelberg: Univ. Heidelberg, Naturwissenschaftlich-Mathematische Gesamtfakultät (Diss.). xii, 105 p. (2006). Reviewer: Tomislav Zlatanovski (Skopje) MSC: 76D05 35Q30 PDFBibTeX XMLCite \textit{M. Lenzinger}, Viscous fluid flow in bifurcating channels and pipes. Heidelberg: Univ. Heidelberg, Naturwissenschaftlich-Mathematische Gesamtfakultät (Diss.) (2006; Zbl 1122.76024) Full Text: Link
Ol’shanskij, M. A. Lectures and exercises on multigrid methods. (Lektsii i uprazhneniya po mnogosetochnym metodam.) (Russian) Zbl 1086.65119 Moskva: Fizmatlit (ISBN 5-9221-0593-0/hbk). 168 p. (2005). Reviewer: Piotr Matus (Minsk) MSC: 65N55 65F10 65N30 35J05 35J25 65-02 35Q30 PDFBibTeX XMLCite \textit{M. A. Ol'shanskij}, Lektsii i uprazhneniya po mnogosetochnym metodam (Russian). Moskva: Fizmatlit (2005; Zbl 1086.65119)
Le Bris, Claude Multi-scale analysis. Modeling and simulation. (Systèmes multi-échelles. Modélisation et simulation.) (French) Zbl 1109.76002 Mathématiques & Applications (Berlin) 47. Berlin: Springer (ISBN 3-540-25313-0/pbk). xi, 212 p. (2005). Reviewer: Lidia Elena Kozma (Baia Mare) MSC: 76-02 74-02 76M50 74Qxx PDFBibTeX XMLCite \textit{C. Le Bris}, Systèmes multi-échelles. Modélisation et simulation. Berlin: Springer (2005; Zbl 1109.76002) Full Text: DOI
Wienands, Roman; Joppich, Wolfgang Practical Fourier analysis for multigrid methods. With CD-ROM. (English) Zbl 1062.65133 Numerical Insights 4. Boca Raton, FL: Chapmaqn & Hall/CRC (ISBN 1-58488-492-4/hbk; 978-1-4200-3499-8/ebook). xvi, 217 p. (2005). Reviewer: Wilhelm Heinrichs (Essen) MSC: 65N55 65N12 35J25 35J40 35Q30 65Y15 65-02 PDFBibTeX XMLCite \textit{R. Wienands} and \textit{W. Joppich}, Practical Fourier analysis for multigrid methods. With CD-ROM. Boca Raton, FL: Chapmaqn \& Hall/CRC (2005; Zbl 1062.65133) Full Text: Link
Novotný, Antonín; Straškraba, Ivan Introduction to the mathematical theory of compressible flow. (English) Zbl 1088.35051 Oxford Lecture Series in Mathematics and its Applications 27. Oxford: Oxford University Press (ISBN 0-19-853084-6/hbk). xx, 506 p. (2004). Reviewer: Il’ya Sh. Mogilevskij (Tver’) MSC: 35Q35 76-02 76N10 35Q30 35L60 35Q05 PDFBibTeX XMLCite \textit{A. Novotný} and \textit{I. Straškraba}, Introduction to the mathematical theory of compressible flow. Oxford: Oxford University Press (2004; Zbl 1088.35051)
Ern, Alexandre; Guermond, Jean-Luc Theory and practice of finite elements. (English) Zbl 1059.65103 Applied Mathematical Sciences 159. New York, NY: Springer (ISBN 0-387-20574-8/hbk). xiii, 524 p. (2004). Reviewer: I. N. Katz (St. Louis) MSC: 65N30 65N50 35A35 65F10 65M60 74S05 76D07 35J25 35K15 35Q30 65-02 76M10 65Y05 65M15 65N12 65M12 78M10 80M10 PDFBibTeX XMLCite \textit{A. Ern} and \textit{J.-L. Guermond}, Theory and practice of finite elements. New York, NY: Springer (2004; Zbl 1059.65103)
Khoromskij, Boris N.; Wittum, Gabriel Numerical solution of elliptic differential equations by reduction to the interface. (English) Zbl 1043.65128 Lecture Notes in Computational Science and Engineering 36. Berlin: Springer (ISBN 3-540-20406-7/pbk). xi, 293 p. (2004). Reviewer: Dietrich Braess (Bochum) MSC: 65N30 65N55 65F10 65F35 35J25 65-02 35J40 35Q30 PDFBibTeX XMLCite \textit{B. N. Khoromskij} and \textit{G. Wittum}, Numerical solution of elliptic differential equations by reduction to the interface. Berlin: Springer (2004; Zbl 1043.65128)
John, Volker Large eddy simulation of turbulent incompressible flows. Analytical and numerical results for a class of LES models. (English) Zbl 1035.76001 Lecture Notes in Computational Science and Engineering 34. Berlin: Springer (ISBN 3-540-40643-3/pbk). xii, 261 p. (2004). Reviewer: Vladimir Shelukhin (Novosibirsk) MSC: 76-02 76F65 76M10 76F25 PDFBibTeX XMLCite \textit{V. John}, Large eddy simulation of turbulent incompressible flows. Analytical and numerical results for a class of LES models. Berlin: Springer (2004; Zbl 1035.76001) Full Text: DOI
Straughan, Brian The energy method, stability, and nonlinear convection. 2nd rev. ed. (English) Zbl 1032.76001 Applied Mathematical Sciences. 91. New York, NY: Springer. xii, 447 p. (2004). Reviewer: Boris V.Loginov (Ul’yanovsk) MSC: 76-02 76R05 76E06 76R10 76E15 76E30 PDFBibTeX XMLCite \textit{B. Straughan}, The energy method, stability, and nonlinear convection. 2nd rev. ed. New York, NY: Springer (2004; Zbl 1032.76001)
Tsiporin, Viktor Characterisation of a region by spectral data of a Dirichlet problem for the Stokes equation. (Charakterisierung eine Gebietes durch Spektraldaten eines Dirichletproblems zur Stokesgleichung.) (German) Zbl 1073.65123 Göttingen: Univ. Göttingen, Mathematisch-Naturwissenschaftliche Fakultäten (Diss.). 55 p. (2003). MSC: 65N21 35Q30 65N35 PDFBibTeX XMLCite \textit{V. Tsiporin}, Charakterisierung eine Gebietes durch Spektraldaten eines Dirichletproblems zur Stokesgleichung. Göttingen: Univ. Göttingen, Mathematisch-Naturwissenschaftliche Fakultäten (Diss.) (2003; Zbl 1073.65123) Full Text: Link
Saal, Jürgen Robin boundary conditions and bounded \(H^\infty\)–calculus for the Stokes operator. (English) Zbl 1050.35076 Berlin: Logos Verlag; Darmstadt: Univ. Darmstadt, Fachbereich Mathematik (Diss.) (ISBN 3-8325-0361-7/pbk). xii, 115 p. (2003). Reviewer: Il’ya Sh. Mogilevskij (Tver) MSC: 35Q30 76D07 PDFBibTeX XMLCite \textit{J. Saal}, Robin boundary conditions and bounded \(H^\infty\)--calculus for the Stokes operator. Berlin: Logos Verlag; Darmstadt: Univ. Darmstadt, Fachbereich Mathematik (Diss.) (2003; Zbl 1050.35076)
Bodea, Simina Oscillations of a fluid in a channel. (English) Zbl 1038.76001 Heidelberg: Univ. Heidelberg, Naturwissenschaftlich-Mathematische Gesamtfakultät (Diss.). i, 68 p. (2003). Reviewer: Boris V. Loginov (Ulyanovsk) MSC: 76-02 76D05 76E99 PDFBibTeX XMLCite \textit{S. Bodea}, Oscillations of a fluid in a channel. Heidelberg: Univ. Heidelberg, Naturwissenschaftlich-Mathematische Gesamtfakultät (Diss.) (2003; Zbl 1038.76001) Full Text: Link
Kopachevsky, Nikolay D.; Krein, Selim G. Operator approach to linear problems of hydrodynamics. Vol. 2: Nonself-adjoint problems for viscous fluids. (English) Zbl 1048.76001 Operator Theory: Advances and Applications 146. Basel: Birkhäuser (ISBN 3-7643-2190-3/hbk). xxiv, 444 p. (2003). Reviewer: Vladimir Shelukhin (Novosibirsk) MSC: 76-02 76D03 76D05 35Q30 47N60 PDFBibTeX XMLCite \textit{N. D. Kopachevsky} and \textit{S. G. Krein}, Operator approach to linear problems of hydrodynamics. Vol. 2: Nonself-adjoint problems for viscous fluids. Basel: Birkhäuser (2003; Zbl 1048.76001)
Abels, Helmut Stokes equations in asymptotically flat domains and the motion of a free surface. (English) Zbl 1028.35117 Berichte aus der Mathematik. Aachen: Shaker. vi, 164 p. (2003). Reviewer: Leonid B.Chubarov (Novosibirsk) MSC: 35Q30 76D07 35S15 76D03 35R35 PDFBibTeX XMLCite \textit{H. Abels}, Stokes equations in asymptotically flat domains and the motion of a free surface. Aachen: Shaker (2003; Zbl 1028.35117)
Steinhauer, Mark On analysis of some nonlinear systems of partial differential equations of continuum mechanics. (English) Zbl 1033.74002 Bonner Mathematische Schriften 359. Bonn: Univ. Bonn, Mathematisches Institut (Diss.). 119 S. (2002). Reviewer: Vladimir Shelukhin (Novosibirsk) MSC: 74-02 35Q30 76-02 76D03 74G40 PDFBibTeX XMLCite \textit{M. Steinhauer}, On analysis of some nonlinear systems of partial differential equations of continuum mechanics. Bonn: Univ. Bonn, Mathematisches Institut (Diss.) (2002; Zbl 1033.74002)
Yu, De-hao Natural boundary integral method and its applications. Translated from the 1993 Chinese original. (English) Zbl 1028.65129 Mathematics and its Applications (Dordrecht). 539. Dordrecht: Kluwer Academic Publishers. Beijing: Science Press. xviii, 539 p. (2002). Reviewer: Emil Minchev (Chiba) MSC: 65N38 65-02 35J05 35J40 35Q30 31B30 65N12 65N15 74B05 74S15 PDFBibTeX XMLCite \textit{D.-h. Yu}, Natural boundary integral method and its applications. Translated from the 1993 Chinese original. Dordrecht: Kluwer Academic Publishers; Beijing: Science Press (2002; Zbl 1028.65129)
Steinbach, Jörg A variational inequality approach to free boundary problems with applications in mould filling. (English) Zbl 1011.35001 ISNM. International Series of Numerical Mathematics. 136. Basel: Birkhäuser. x, 294 p. (2002). Reviewer: J.Lovíšek (Bratislava) MSC: 35-02 35R35 76D27 76D05 76M10 76M12 PDFBibTeX XMLCite \textit{J. Steinbach}, A variational inequality approach to free boundary problems with applications in mould filling. Basel: Birkhäuser (2002; Zbl 1011.35001)
Deville, M. O.; Fischer, P. F.; Mund, E. H. High-order methods for incompressible fluid flow. (English) Zbl 1007.76001 Cambridge Monographs on Applied and Computational Mathematics. 9. Cambridge: Cambridge University Press. xxvii, 499 p. (2002). Reviewer: Mirela Kohr (Cluj-Napoca) MSC: 76-02 76Mxx 76D05 PDFBibTeX XMLCite \textit{M. O. Deville} et al., High-order methods for incompressible fluid flow. Cambridge: Cambridge University Press (2002; Zbl 1007.76001) Full Text: DOI
Caps, Oliver Evolution equations in scales of Banach spaces. (English) Zbl 1048.35002 Teubner-Texte zur Mathematik 140. Stuttgart: B.G. Teubner (ISBN 3-519-00376-7/pbk). 309 p. (2002). Reviewer: V. A. Liskevich (Bristol) MSC: 35-02 35K90 35S10 47G30 46E35 PDFBibTeX XMLCite \textit{O. Caps}, Evolution equations in scales of Banach spaces. Stuttgart: B.G. Teubner (2002; Zbl 1048.35002)
Diening, Lars Theoretical and numerical results for electrorheological fluids. (English) Zbl 1022.76001 Freiburg im Breisgau: Univ. Freiburg im Breisgau, Mathematische Fakultät, 156 p. (2002). Reviewer: Daniel Ševčovič (Bratislava) MSC: 76-02 76W05 35Q35 35Q60 PDFBibTeX XMLCite \textit{L. Diening}, Theoretical and numerical results for electrorheological fluids. Freiburg im Breisgau: Univ. Freiburg im Breisgau, Mathematische Fakultät (2002; Zbl 1022.76001)
Ern, Alexandre; Guermond, Jean-Luc Éléments finis: théorie, applications, mise en œuvre. (Finite elements: Theory, applications, implementation.) (French) Zbl 0993.65123 Mathématiques & Applications (Berlin) 36. Berlin: Springer. ix, 430 p. EUR 71.04 (net); sFr 118.00; £49.50; $ 79.95 (2002). Reviewer: Michel Bernadou (Paris La Defense) MSC: 65N30 65M50 65N50 65Y05 65N15 65M15 65N12 65M12 65F10 78M10 80M10 35J25 35K15 35Q30 65-02 76M10 74S05 65M60 76D07 PDFBibTeX XMLCite \textit{A. Ern} and \textit{J.-L. Guermond}, Finite elements: Theory, applications, implementation. Berlin: Springer (2002; Zbl 0993.65123)
Rocha-Chávez, Reynaldo; Shapiro, Michael; Sommen, Franciscus Integral theorems for functions and differential forms in \(C^m\). (English) Zbl 0991.32002 Chapman & Hall/CRC Research Notes in Mathematics. 428. Boca Raton, FL: Chapman & Hall/CRC. x, 204 p. (2002). Reviewer: Vasily A.Chernecky (Odessa) MSC: 32A26 32-02 32A10 32A45 32W05 15A66 16W55 PDFBibTeX XMLCite \textit{R. Rocha-Chávez} et al., Integral theorems for functions and differential forms in \(C^m\). Boca Raton, FL: Chapman \& Hall/CRC (2002; Zbl 0991.32002)
Klyatskin, V. I. Stochastic equations with the eyes of a physicist. (Stokhasticheskie uravneniya glazami fizika. Osnovnye polozheniya, tochnye rezul’taty i asimptoticheskie priblizheniya.) (Russian) Zbl 1003.60001 Moskva: Fizmatlit. 527 p. (2001). Reviewer: Ilya Pavlyukevitch (Berlin) MSC: 60-01 60H10 60H15 60H20 60J70 60K37 60K40 86A05 76B65 PDFBibTeX XMLCite \textit{V. I. Klyatskin}, Stokhasticheskie uravneniya glazami fizika. Osnovnye polozheniya, tochnye rezul'taty i asimptoticheskie priblizheniya (Russian). Moskva: Fizmatlit (2001; Zbl 1003.60001)
Frid, Hermano; Perepelitsa, Mikhail Partial regularity of solutions of the 3-D incompressible Navier-Stokes equations. 23rd Brazilian mathematics colloquium, Rio de Janeiro, Brazil, July 23–27, 2001. (English) Zbl 0984.76013 Publicações Matemáticas do IMPA. Rio de Janeiro: Instituto de Matemática Pura e Aplicada (IMPA). vi, 44 p. (2001). Reviewer: Vladimir Shelukhin (Novosibirsk) MSC: 76D03 35Q30 76D05 PDFBibTeX XMLCite \textit{H. Frid} and \textit{M. Perepelitsa}, Partial regularity of solutions of the 3-D incompressible Navier-Stokes equations. 23rd Brazilian mathematics colloquium, Rio de Janeiro, Brazil, July 23--27, 2001. Rio de Janeiro: Instituto de Matemática Pura e Aplicada (IMPA) (2001; Zbl 0984.76013)
Ainsworth, Mark; Oden, J. Tinsley A posteriori error estimation in finite element analysis. (English) Zbl 1008.65076 Pure and Applied Mathematics. A Wiley-Interscience Series of Texts, Monographs, and Tracts. Chichester: Wiley. xx, 240 p. (2000). Reviewer: I.N.Katz (St.Louis) MSC: 65N15 65N30 35Q30 65-02 76D05 76M10 74S05 PDFBibTeX XMLCite \textit{M. Ainsworth} and \textit{J. T. Oden}, A posteriori error estimation in finite element analysis. Chichester: Wiley (2000; Zbl 1008.65076)
Franzke, Martin Navier-Stokes equations in opening regions. (Die Navier-Stokes-Gleichungen in Öffnungsgebieten.) (German) Zbl 0971.76002 Aachen: Shaker Verlag. viii, 106 S. (2000). Reviewer: Milan Pokorný (Columbia) MSC: 76-02 76D03 35Q30 76D05 76D07 PDFBibTeX XMLCite \textit{M. Franzke}, Die Navier-Stokes-Gleichungen in Öffnungsgebieten. Aachen: Shaker Verlag (2000; Zbl 0971.76002) Full Text: Link
Mahrenholtz, O. (ed.); Markiewicz, M. (ed.) Nonlinear water wave interaction. (English) Zbl 1008.76506 Advances in Fluid Mechanics. 24. Southampton: CMP/ WIT Press. 272 p. (1999). MSC: 76-06 76B15 76M15 76M12 00B15 PDFBibTeX XMLCite \textit{O. Mahrenholtz} (ed.) and \textit{M. Markiewicz} (ed.), Nonlinear water wave interaction. Southampton: CMP/ WIT Press (1999; Zbl 1008.76506)
Höhn, Burkhard Numerics for the Marangoni convection by the floating-zone process. (Numerik für die Marangoni-Konvektion beim Floating-Zone Verfahren.) (German) Zbl 0939.76046 Freiburg i.Br.: Univ. Freiburg i.Br., Mathematische Fakultät, 115 S. (1999). MSC: 76M10 76M20 76D05 76-02 76R05 76T99 80A22 PDFBibTeX XMLCite \textit{B. Höhn}, Numerik für die Marangoni-Konvektion beim Floating-Zone Verfahren. Freiburg i.Br.: Univ. Freiburg i.Br., Mathematische Fakultät (1999; Zbl 0939.76046)
Fursikov, A. V. Optimal control of distributed systems. Theory and applications. (Optimal’noe upravlenie raspredelennymi sistemami. Teoriya i prilozheniya.) (Russian) Zbl 0938.93003 Universitetskaya Seriya. 5. Novosibirsk: Nauchnaya Kniga. xii,352 p. (1999). MSC: 93-02 93C20 35Q30 76D05 93C10 49J20 93B05 PDFBibTeX XMLCite \textit{A. V. Fursikov}, Optimal'noe upravlenie raspredelennymi sistemami. Teoriya i prilozheniya (Russian). Novosibirsk: Nauchnaya Kniga (1999; Zbl 0938.93003)
Oleinik, O. A.; Samokhin, V. N. Mathematical models in boundary layer theory. (English) Zbl 0928.76002 Applied Mathematics and Mathematical Computation. 15. Boca Raton, FL: Chapman & Hall/ CRC. 516 p. (1999). Reviewer: P.B.Dubovskiĭ (Moskva) MSC: 76-02 76D10 35Q35 35-02 76M20 PDFBibTeX XMLCite \textit{O. A. Oleinik} and \textit{V. N. Samokhin}, Mathematical models in boundary layer theory. Boca Raton, FL: Chapman \& Hall/ CRC (1999; Zbl 0928.76002)
Bernardi, Christine; Dauge, Monique; Maday, Yvon [Azaïez, Mejdi] Spectral methods for axisymmetric domains. Numerical algorithms and tests due to Mejdi Azaïez. (English) Zbl 0929.35001 Series in Applied Mathematics (Paris). 3. Paris: Gauthier-Villars/North Holland. v, 345 p. (1999). Reviewer: I.N.Molchanov (Kyïv) MSC: 35-02 35A25 65N35 PDFBibTeX XMLCite \textit{C. Bernardi} et al., Spectral methods for axisymmetric domains. Numerical algorithms and tests due to Mejdi Azaïez. Paris: Gauthier-Villars/North Holland (1999; Zbl 0929.35001)
Quarteroni, Alfio; Valli, Alberto Domain decomposition methods for partial differential equations. (English) Zbl 0931.65118 Numerical Mathematics and Scientific Computation. Oxford: Clarendon Press. xv, 360 p. (1999). Reviewer: M.Plum (Karlsruhe) MSC: 65N55 65-02 35Q30 35Q60 65N30 65M55 65M60 65F10 74S05 76M10 78M10 PDFBibTeX XMLCite \textit{A. Quarteroni} and \textit{A. Valli}, Domain decomposition methods for partial differential equations. Oxford: Clarendon Press (1999; Zbl 0931.65118)
Rakotoson, Jean-Émile; Rakotoson, Jean-Michel Functional analysis applied to partial differential equations. (Analyse fonctionnelle appliquée aux équations aux dérivées partielles.) (French) Zbl 0929.46027 Mathématiques. Paris: Presses Universitaires de France. 230 p. (1999). Reviewer: Hideo Yamagata (Osaka) MSC: 46E35 35K15 PDFBibTeX XMLCite \textit{J.-É. Rakotoson} and \textit{J.-M. Rakotoson}, Analyse fonctionnelle appliquée aux équations aux dérivées partielles. Paris: Presses Universitaires de France (1999; Zbl 0929.46027)
Baehr, Hans Dieter; Stephan, Karl Heat and mass transfer. Transl. from the German by Nicola Jane Park. (English) Zbl 0948.80001 Berlin: Springer. xx, 672 p. (1998). Reviewer: A.R.Rao (Bangalore) MSC: 80-01 74-01 76-01 80A20 78A40 76R10 76R05 80Mxx 80Axx PDFBibTeX XMLCite \textit{H. D. Baehr} and \textit{K. Stephan}, Heat and mass transfer. Transl. from the German by Nicola Jane Park. Berlin: Springer (1998; Zbl 0948.80001)
Coclici, Cristian-Aurelian Domain decomposition methods and far-field boundary conditions for two-dimensional compressible flows around airfoils. (German) Zbl 0940.76032 Stuttgart: Univ. Stuttgart, 189 S. (1998). MSC: 76M10 76M15 65M55 76N15 76-02 PDFBibTeX XMLCite \textit{C.-A. Coclici}, Domain decomposition methods and far-field boundary conditions for two-dimensional compressible flows around airfoils. Stuttgart: Univ. Stuttgart (1998; Zbl 0940.76032)
Schieweck, Friedhelm Parallel solution of the stationary incompressible Navier-Stokes equations. (Parallele Lösung der stationären inkompressiblen Navier-Stokes Gleichungen.) (German) Zbl 0915.76051 Magdeburg: Univ. Magdeburg, Fakultät Mathematik, 142 S. (1997). MSC: 76M10 76D05 76-02 65Y05 PDFBibTeX XMLCite \textit{F. Schieweck}, Parallele Lösung der stationären inkompressiblen Navier-Stokes Gleichungen. Magdeburg: Univ. Magdeburg, Fakultät Mathematik (1997; Zbl 0915.76051)
John, Volker Parallel solution of the incompressible Navier-Stokes equations on adaptively refined grids. (Parallel Lösung der inkompressiblen Navier-Stokes Gleichungen auf adaptiv verfeinerten Gittern.) (German) Zbl 0908.76054 Magdeburg: Univ. Magdeburg, Fakultät Mathematik, 185 S. (1997). MSC: 76M10 76D05 76-02 65Y05 PDFBibTeX XMLCite \textit{V. John}, Parallel Lösung der inkompressiblen Navier-Stokes Gleichungen auf adaptiv verfeinerten Gittern. Magdeburg: Univ. Magdeburg, Fakultät Mathematik (1997; Zbl 0908.76054)
Bause, Markus Optimal convergence rates for fully discretized Navier Stokes approximations of higher order in domains with Lipschitz boundaries. (Optimale Konvergenzraten für voll diskretisierte Navier-Stokes-Approximationen höherer Ordnung in Gebieten mit Lipschitz-Rand.) (German) Zbl 0908.76049 Paderborn: Univ.-GH Paderborn, FB Mathematik/ Informatik, 175 S. (1997). Reviewer: Aus dem Text MSC: 76M10 76D05 76D07 76-02 65M60 PDFBibTeX XMLCite \textit{M. Bause}, Optimale Konvergenzraten für voll diskretisierte Navier-Stokes-Approximationen höherer Ordnung in Gebieten mit Lipschitz-Rand. Paderborn: Univ.-GH Paderborn, FB Mathematik/ Informatik (1997; Zbl 0908.76049)
Oleĭnik, O. A.; Samokhin, V. N. Mathematical methods in boundary layer theory. (Математические методы в теории пограничного слоя.) (Russian) Zbl 0893.76001 Moskva: Fizmatlit. 512 p. (1997). Reviewer: Oleg Titow (Berlin) MSC: 76-02 76D10 35Q35 PDFBibTeX XMLCite \textit{O. A. Oleĭnik} and \textit{V. N. Samokhin}, Математические методы в теории пограничного слоя (Russian). Moskva: Fizmatlit (1997; Zbl 0893.76001)
Laurent-Thiébaut, Christine Theory of holomorphic functions of several variables. An introduction. (Théorie des fonctions holomorphes de plusieurs variables. Une introduction.) (French) Zbl 0887.32001 Savoirs Actuels. Paris: CNRS Éditions. Paris: Masson. xiii, 244 p. (1997). Reviewer: M.Hervé (Paris) MSC: 32-02 32C30 58A05 32A25 PDFBibTeX XMLCite \textit{C. Laurent-Thiébaut}, Théorie des fonctions holomorphes de plusieurs variables. Une introduction. Paris: CNRS Éditions; Paris: Masson (1997; Zbl 0887.32001)
Blackadar, Alfred K. Turbulence and diffusion in the atmosphere. Lectures in environmental sciences. (English) Zbl 0889.76001 Berlin: Springer. x, 185 p. (1997). Reviewer: O.Titow (Berlin) MSC: 76-01 76F10 86A10 80A20 76R50 PDFBibTeX XMLCite \textit{A. K. Blackadar}, Turbulence and diffusion in the atmosphere. Lectures in environmental sciences. Berlin: Springer (1997; Zbl 0889.76001)
Braaksma, B. L. J. (ed.); Immink, G. K. (ed.); van der Put, Marius (ed.) The Stokes phenomenon and Hilbert’s 16th problem. Proceedings of the workshop, Groningen, The Netherlands, May 31-June 3, 1995. (English) Zbl 0846.00026 Singapore: World Scientific. xii, 327 p. (1996). MSC: 00B25 34-06 12-06 PDFBibTeX XMLCite \textit{B. L. J. Braaksma} (ed.) et al., The Stokes phenomenon and Hilbert's 16th problem. Proceedings of the workshop, Groningen, The Netherlands, May 31-June 3, 1995. Singapore: World Scientific (1996; Zbl 0846.00026)
Fischer, Bernd Polynomial based iteration methods for symmetric linear systems. (English) Zbl 0852.65031 Wiley-Teubner Series Advances in Numerical Mathematics. Chichester: John Wiley & Sons. Stuttgart: B. G. Teubner. 283 p. (1996). Reviewer: K.Georgiev (Sofia) MSC: 65F10 65-02 35J25 65N30 PDFBibTeX XMLCite \textit{B. Fischer}, Polynomial based iteration methods for symmetric linear systems. Chichester: John Wiley \& Sons; Stuttgart: B. G. Teubner (1996; Zbl 0852.65031)
Verfürth, Rüdiger A review of a posteriori error estimation and adaptive mesh-refinement techniques. (English) Zbl 0853.65108 Wiley-Teubner Series Advances in Numerical Mathematics. Chichester: John Wiley & Sons. Stuttgart: B. G. Teubner. vi, 127 p. (1996). Reviewer: P.Matus (Minsk) MSC: 65N15 65N30 65N50 35Q30 35J05 35J65 31A30 PDFBibTeX XMLCite \textit{R. Verfürth}, A review of a posteriori error estimation and adaptive mesh-refinement techniques. Chichester: John Wiley \& Sons; Stuttgart: B. G. Teubner (1996; Zbl 0853.65108)
Golovachev, Yu. P. Numerical simulation of viscous gas flows in a shock layer. (Chislennoe modelirovanie techenij vyazkogo gaza v udarnom sloe.) (Russian) Zbl 0902.76003 Moskva: Nauka. Fizmatlit. 376 p. (1996). MSC: 76-02 76M20 76L05 76J20 76K05 76N20 80A32 PDFBibTeX XMLCite \textit{Yu. P. Golovachev}, Chislennoe modelirovanie techenij vyazkogo gaza v udarnom sloe (Russian). Moskva: Nauka. Fizmatlit (1996; Zbl 0902.76003)
Seifert, Wolfgang Numerical treatment of free boundaries in crystal breeding. (Numerische Behandlung freier Ränder beim Kristallziehen.) (German) Zbl 0871.65107 München: TU München, Fak. f. Math. 274 p. (1996). MSC: 65Z05 65M30 35K05 82D25 35Q30 35R35 PDFBibTeX XMLCite \textit{W. Seifert}, Numerische Behandlung freier Ränder beim Kristallziehen. München: TU München, Fak. f. Math. (1996; Zbl 0871.65107)
Urban, Karsten Multiscale methods for the Stokes problem and adapted wavelet bases. (Multiskalenverfahren für das Stokes-Problem und angepaßte Wavelet-Basen.) (German. English summary) Zbl 0844.65081 Aachener Beiträge zur Mathematik. 15. Aachen: Verlag der Augustinus Buchh. v, 223 p. (RWTH Aachen) (1995). MSC: 65N30 76D07 76D05 35Q30 65N12 35J25 PDFBibTeX XMLCite \textit{K. Urban}, Multiskalenverfahren für das Stokes-Problem und angepaßte Wavelet-Basen. Aachen: Verlag der Augustinus Buchh. (1995; Zbl 0844.65081)
Gatica, Gabriel N.; Hsiao, George C. Boundary-field equation methods for a class of nonlinear problems. (English) Zbl 0832.65126 Pitman Research Notes in Mathematics Series. 331. Harlow: Longman House. New York, NY: Wiley, 178 p. (1995). Reviewer: H.Marcinkowska (Wrocław) MSC: 65N38 65N30 65N15 74S05 74S15 65-02 35J05 35J25 35J65 74J99 PDFBibTeX XMLCite \textit{G. N. Gatica} and \textit{G. C. Hsiao}, Boundary-field equation methods for a class of nonlinear problems. Harlow: Longman House; New York, NY: Wiley (1995; Zbl 0832.65126)
Shaidurov, V. V. Multigrid methods for finite elements. Updated and revised transl. by N. B. Urusova. (English) Zbl 0837.65118 Mathematics and its Applications (Dordrecht). 318. Dordrecht: Kluwer Academic Publishers. xiv, 331 p. (1995). Reviewer: E.D’yakonov (Moskva) MSC: 65N30 65F10 65-02 65N25 65H10 35Jxx 76D05 35P15 PDFBibTeX XMLCite \textit{V. V. Shaidurov}, Multigrid methods for finite elements. Updated and revised transl. by N. B. Urusova. Dordrecht: Kluwer Academic Publishers (1995; Zbl 0837.65118)
Thäter, Gudrun \(L^ q\) Helmholtz decomposition and regularity results for the infinite cylinder. (English) Zbl 0873.76004 Paderborn: Univ.-Gesamthochschule Paderborn, FB Math./ Inform. 69 p. (1995). MSC: 76A05 35Q35 76-02 PDFBibTeX XMLCite \textit{G. Thäter}, \(L^ q\) Helmholtz decomposition and regularity results for the infinite cylinder. Paderborn: Univ.-Gesamthochschule Paderborn, FB Math./ Inform. (1995; Zbl 0873.76004)
Worat, Birgit Investigations into the stability behavior of finite volume element methods for the Stokes problem. (Stabilitätsuntersuchungen zu Finite-Volumen-Elemente-Methoden für das Stokes-Problem.) (German) Zbl 0855.65110 Bochum: Univ. Bochum, Fak. Math. 107 S. (1994). MSC: 65N12 65N30 35Q30 PDFBibTeX XMLCite \textit{B. Worat}, Stabilitätsuntersuchungen zu Finite-Volumen-Elemente-Methoden für das Stokes-Problem. Bochum: Univ. Bochum, Fak. Math. (1994; Zbl 0855.65110)
Galdi, Giovanni P. An introduction to the mathematical theory of the Navier-Stokes equations. Vol. II: Nonlinear steady problems. (English) Zbl 0949.35005 Springer Tracts in Natural Philosophy. 39. New York: Springer-Verlag. xi, 323 p. (1994). Reviewer: Il’ya Sh.Mogilevskij (Tver) MSC: 35-02 35Q30 PDFBibTeX XMLCite \textit{G. P. Galdi}, An introduction to the mathematical theory of the Navier-Stokes equations. Vol. II: Nonlinear steady problems. New York: Springer-Verlag (1994; Zbl 0949.35005)
Galdi, Giovanni P. An introduction to the mathematical theory of the Navier-Stokes equations. Vol. I: Linearized steady problems. (English) Zbl 0949.35004 Springer Tracts in Natural Philosophy. 38. New York, NY: Springer-Verlag. xi, 450 p. (1994). Reviewer: Il’ya Sh.Mogilevskij (Tver) MSC: 35-02 35Q30 PDFBibTeX XMLCite \textit{G. P. Galdi}, An introduction to the mathematical theory of the Navier-Stokes equations. Vol. I: Linearized steady problems. New York, NY: Springer-Verlag (1994; Zbl 0949.35004)