Walton, Andrew; Yu, Keming The linear stability of plane Couette flow with a compliant boundary. (English) Zbl 07802805 J. Eng. Math. 144, Paper No. 1, 31 p. (2024). MSC: 76E05 76M45 74F10 PDFBibTeX XMLCite \textit{A. Walton} and \textit{K. Yu}, J. Eng. Math. 144, Paper No. 1, 31 p. (2024; Zbl 07802805) Full Text: DOI OA License
Dokoza, Toni; Oberlack, Martin Reynolds number induced growth of the large-scale rolls in plane Couette flow using resolvent analysis. (English) Zbl 07725089 J. Fluid Mech. 968, Paper No. A23, 23 p. (2023). MSC: 76F10 76E05 76F65 76M45 PDFBibTeX XMLCite \textit{T. Dokoza} and \textit{M. Oberlack}, J. Fluid Mech. 968, Paper No. A23, 23 p. (2023; Zbl 07725089) Full Text: DOI
Georgievskii, D. V. Friedrichs inequalities and sharpened sufficient stability conditions of plane-parallel flows. (English. Russian original) Zbl 1508.76042 Mosc. Univ. Mech. Bull. 77, No. 3, 61-65 (2022); translation from Vestn. Mosk. Univ., Ser. I 77, No. 3, 46-50 (2022). MSC: 76E05 35Q35 PDFBibTeX XMLCite \textit{D. V. Georgievskii}, Mosc. Univ. Mech. Bull. 77, No. 3, 61--65 (2022; Zbl 1508.76042); translation from Vestn. Mosk. Univ., Ser. I 77, No. 3, 46--50 (2022) Full Text: DOI
Drmač, Zlatko; Glibić, Ivana Šain An algorithm for the complete solution of the quartic eigenvalue problem. (English) Zbl 07500129 ACM Trans. Math. Softw. 48, No. 1, Article No. 4, 34 p. (2022). MSC: 65-XX PDFBibTeX XMLCite \textit{Z. Drmač} and \textit{I. Š. Glibić}, ACM Trans. Math. Softw. 48, No. 1, Article No. 4, 34 p. (2022; Zbl 07500129) Full Text: DOI
Georgievskii, D. V. Asymptotics of eigenvalues in the Orr-Sommerfeld problem for low velocities of unperturbed flow. (English. Russian original) Zbl 1481.76094 Dokl. Math. 103, No. 1, 19-22 (2021); translation from Dokl. Ross. Akad. Nauk, Mat. Inform. Protsessy Upr. 496, 26-29 (2021). MSC: 76E05 76M45 76D05 PDFBibTeX XMLCite \textit{D. V. Georgievskii}, Dokl. Math. 103, No. 1, 19--22 (2021; Zbl 1481.76094); translation from Dokl. Ross. Akad. Nauk, Mat. Inform. Protsessy Upr. 496, 26--29 (2021) Full Text: DOI
Samanta, Arghya Effect of surfactant on the linear stability of a shear-imposed fluid flowing down a compliant substrate. (English) Zbl 1495.76038 J. Fluid Mech. 920, Paper No. A23, 37 p. (2021). MSC: 76E05 76A20 76M45 76M22 74F10 PDFBibTeX XMLCite \textit{A. Samanta}, J. Fluid Mech. 920, Paper No. A23, 37 p. (2021; Zbl 1495.76038) Full Text: DOI
Georgievskii, D. V. Estimates of the exponential decay of perturbations superimposed on the longitudinal harmonic vibrations of a viscous layer. (English. Russian original) Zbl 1452.76066 Differ. Equ. 56, No. 10, 1335-1344 (2020); translation from Differ. Uravn. 56, No. 10, 1366-1375 (2020). MSC: 76E05 76D05 35Q35 PDFBibTeX XMLCite \textit{D. V. Georgievskii}, Differ. Equ. 56, No. 10, 1335--1344 (2020; Zbl 1452.76066); translation from Differ. Uravn. 56, No. 10, 1366--1375 (2020) Full Text: DOI
Tan, Ying; Su, Weidong A trigonometric series expansion method for the Orr-Sommerfeld equation. (English) Zbl 1416.76042 AMM, Appl. Math. Mech., Engl. Ed. 40, No. 6, 877-888 (2019). MSC: 76E05 76M22 PDFBibTeX XMLCite \textit{Y. Tan} and \textit{W. Su}, AMM, Appl. Math. Mech., Engl. Ed. 40, No. 6, 877--888 (2019; Zbl 1416.76042) Full Text: DOI
Gheorghiu, Călin-Ioan Spectral collocation solutions to problems on unbounded domains. (English) Zbl 1453.65004 Cluj-Napoca: Casa Cărţii de Ştiinţă (ISBN 978-606-17-1272-4/pbk). xvi, 151 p. (2018). Reviewer: Rolf Dieter Grigorieff (Berlin) MSC: 65-02 65M70 65N35 65L15 65N15 65D05 PDFBibTeX XMLCite \textit{C.-I. Gheorghiu}, Spectral collocation solutions to problems on unbounded domains. Cluj-Napoca: Casa Cărţii de Ştiinţă (2018; Zbl 1453.65004)
Shiryaev, E. A. Basis property of eigen- and associated functions of an operator with nondense domain of definition in the example of the Orr-Sommerfeld problem. (English. Russian original) Zbl 06845191 Math. Notes 102, No. 6, 866-871 (2017); translation from Mat. Zametki 102, No. 6, 931-937 (2017). MSC: 47-XX 76-XX PDFBibTeX XMLCite \textit{E. A. Shiryaev}, Math. Notes 102, No. 6, 866--871 (2017; Zbl 06845191); translation from Mat. Zametki 102, No. 6, 931--937 (2017) Full Text: DOI
Gheorghiu, Călin-Ioan Spectral methods for non-standard eigenvalue problems. Fluid and structural mechanics and beyond. (English) Zbl 1298.65166 SpringerBriefs in Mathematics. Cham: Springer (ISBN 978-3-319-06229-7/pbk; 978-3-319-06230-3/ebook). xii, 120 p. (2014). Reviewer: Boris V. Loginov (Ul’yanovsk) MSC: 65N25 65-02 65M70 65N35 65Z05 76M22 74S25 65L15 35P15 34L15 PDFBibTeX XMLCite \textit{C.-I. Gheorghiu}, Spectral methods for non-standard eigenvalue problems. Fluid and structural mechanics and beyond. Cham: Springer (2014; Zbl 1298.65166) Full Text: DOI
Kadchenko, S. I. Method of regularized traces. (Russian. English summary) Zbl 1192.65061 Vestn. Yuzhno-Ural. Gos. Univ., Ser. Mat. Model. Program. 27(170), No. 4, 4-23 (2009). MSC: 65J10 47A10 65L15 34L16 PDFBibTeX XMLCite \textit{S. I. Kadchenko}, Vestn. Yuzhno-Ural. Gos. Univ., Ser. Mat. Model. Program. 27(170), No. 4, 4--23 (2009; Zbl 1192.65061) Full Text: Link
Pokotilo, V. I.; Shkalikov, A. A. Semiclassical approximation for a nonself-adjoint Sturm-Liouville problem with a parabolic potential. (English. Russian original) Zbl 1192.34032 Math. Notes 86, No. 3, 442-446 (2009); translation from Mat. Zametki 86, No. 3, 469-473 (2009). Reviewer: Bilender P. Allahverdiev (Isparta) MSC: 34B24 34L15 34L20 34L40 PDFBibTeX XMLCite \textit{V. I. Pokotilo} and \textit{A. A. Shkalikov}, Math. Notes 86, No. 3, 442--446 (2009; Zbl 1192.34032); translation from Mat. Zametki 86, No. 3, 469--473 (2009) Full Text: DOI
Makinde, O. D. On the Chebyshev collocation spectral approach to stability of fluid flow in a porous medium. (English) Zbl 1156.76041 Int. J. Numer. Methods Fluids 59, No. 7, 791-799 (2009). MSC: 76M22 76E05 76S05 PDFBibTeX XMLCite \textit{O. D. Makinde}, Int. J. Numer. Methods Fluids 59, No. 7, 791--799 (2009; Zbl 1156.76041) Full Text: DOI
McBain, G. D.; Chubb, T. H.; Armfield, S. W. Numerical solution of the Orr-Sommerfeld equation using the viscous Green function and split-Gaussian quadrature. (English) Zbl 1157.65433 J. Comput. Appl. Math. 224, No. 1, 397-404 (2009). MSC: 65L15 34L16 76E05 PDFBibTeX XMLCite \textit{G. D. McBain} et al., J. Comput. Appl. Math. 224, No. 1, 397--404 (2009; Zbl 1157.65433) Full Text: DOI
Darmaev, T. G. Solution of the Orr-Sommerfeld problem using a pseudo-spectral method based on Chebyshev polynomials. (Russian. English summary) Zbl 1201.76064 Vychisl. Tekhnol. 13, No. 3, 38-44 (2008). MSC: 76E05 35Q35 PDFBibTeX XMLCite \textit{T. G. Darmaev}, Vychisl. Tekhnol. 13, No. 3, 38--44 (2008; Zbl 1201.76064)
Makinde, O. D.; Mhone, P. Y. Temporal stability of small disturbances in MHD Jeffery-Hamel flows. (English) Zbl 1175.76061 Comput. Math. Appl. 53, No. 1, 128-136 (2007). MSC: 76E25 76W05 PDFBibTeX XMLCite \textit{O. D. Makinde} and \textit{P. Y. Mhone}, Comput. Math. Appl. 53, No. 1, 128--136 (2007; Zbl 1175.76061) Full Text: DOI
Tordella, Daniela; Belan, Marco On the domain of validity of the near-parallel combined stability analysis for the 2D intermediate and far bluff body wake. (English) Zbl 1119.76026 ZAMM, Z. Angew. Math. Mech. 85, No. 1, 51-65 (2005). MSC: 76E09 76D25 76M45 PDFBibTeX XMLCite \textit{D. Tordella} and \textit{M. Belan}, ZAMM, Z. Angew. Math. Mech. 85, No. 1, 51--65 (2005; Zbl 1119.76026) Full Text: DOI
Mamou, M.; Khalid, M. Finite element solution of the Orr-Sommerfeld equation using high precision Hermite elements: Plane Poiseuille flow. (English) Zbl 1085.76525 Int. J. Numer. Methods Fluids 44, No. 7, 721-735 (2004). MSC: 76M10 76E05 PDFBibTeX XMLCite \textit{M. Mamou} and \textit{M. Khalid}, Int. J. Numer. Methods Fluids 44, No. 7, 721--735 (2004; Zbl 1085.76525) Full Text: DOI
Neiman-zade, M. I.; Shkalikov, A. A. On the computing of the eigenvalues of the Orr-Sommerfeld problem. (Russian. English summary) Zbl 1052.65069 Fundam. Prikl. Mat. 8, No. 1, 301-305 (2002). Reviewer: Dmitry V. Vasiliev (Moskva) MSC: 65L15 34L16 65L60 PDFBibTeX XMLCite \textit{M. I. Neiman-zade} and \textit{A. A. Shkalikov}, Fundam. Prikl. Mat. 8, No. 1, 301--305 (2002; Zbl 1052.65069)
Dyachenko, A. V.; Shkalikov, A. A. On a model problem for the Orr-Sommerfeld equation with linear profile. (English. Russian original) Zbl 1036.34094 Funct. Anal. Appl. 36, No. 3, 228-232 (2002); translation from Funkts. Anal. Prilozh. 36, No. 3, 71-75 (2002). Reviewer: Eckhard Giere (Clausthal-Zellerfeld) MSC: 34L20 76E05 34B24 34B05 PDFBibTeX XMLCite \textit{A. V. Dyachenko} and \textit{A. A. Shkalikov}, Funct. Anal. Appl. 36, No. 3, 228--232 (2002; Zbl 1036.34094); translation from Funkts. Anal. Prilozh. 36, No. 3, 71--75 (2002) Full Text: DOI arXiv
Shkalikov, A. A.; Tumanov, S. N. On the spectrum localization of the Orr–Sommerfeld problem for large Reynolds numbers. (English. Russian original) Zbl 1022.76016 Math. Notes 72, No. 4, 519-526 (2002); translation from Mat. Zametki 72, No. 4, 561-569 (2002). Reviewer: Messoud Efendiev (Berlin) MSC: 76E05 34B05 PDFBibTeX XMLCite \textit{A. A. Shkalikov} and \textit{S. N. Tumanov}, Math. Notes 72, No. 4, 519--526 (2002; Zbl 1022.76016); translation from Mat. Zametki 72, No. 4, 561--569 (2002) Full Text: DOI
Kurochkin, S. V. A method of detection of instability and for determination of unstable eigenvalues in the Orr-Sommerfeld problem. (English. Russian original) Zbl 1048.35044 Comput. Math. Math. Phys. 41, No. 1, 84-91 (2001); translation from Zh. Vychisl. Mat. Mat. Fiz. 41, No. 1, 86-94 (2001). Reviewer: Alexey Tret’yakov (Siedlce) MSC: 35P15 76E09 35Q35 65N25 PDFBibTeX XMLCite \textit{S. V. Kurochkin}, Comput. Math. Math. Phys. 41, No. 1, 84--91 (2001; Zbl 1048.35044); translation from Zh. Vychisl. Mat. Mat. Fiz. 41, No. 1, 86--94 (2001)
Tisseur, Françoise; Higham, Nicholas J. Structured pseudospectra for polynomial eigenvalue problems, with applications. (English) Zbl 0996.65042 SIAM J. Matrix Anal. Appl. 23, No. 1, 187-208 (2001). Reviewer: Liu Xinguo (Qingdao) MSC: 65F15 15A22 PDFBibTeX XMLCite \textit{F. Tisseur} and \textit{N. J. Higham}, SIAM J. Matrix Anal. Appl. 23, No. 1, 187--208 (2001; Zbl 0996.65042) Full Text: DOI
Greenberg, Leon; Marletta, Marco Numerical solution of non–self-adjoint Sturm–Liouville problems and related systems. (English) Zbl 1001.34020 SIAM J. Numer. Anal. 38, No. 6, 1800-1845 (2001). Reviewer: Manfred Möller (Johannesburg) MSC: 34B24 34L16 65L15 65L20 PDFBibTeX XMLCite \textit{L. Greenberg} and \textit{M. Marletta}, SIAM J. Numer. Anal. 38, No. 6, 1800--1845 (2001; Zbl 1001.34020) Full Text: DOI
Melenk, J. M.; Kirchner, N. P.; Schwab, Ch. Spectral Galerkin discretization for hydrodynamic stability problems. (English) Zbl 0967.76074 Computing 65, No. 2, 97-118 (2000). MSC: 76M22 76E05 65L15 PDFBibTeX XMLCite \textit{J. M. Melenk} et al., Computing 65, No. 2, 97--118 (2000; Zbl 0967.76074) Full Text: DOI
Ng, B. S.; Reid, W. H. Simple asymptotics for the temporal spectrum of an Orr-Sommerfeld problem. (English) Zbl 0991.76021 Appl. Math. Lett. 13, No. 3, 51-55 (2000). Reviewer: Nina Kirchner (Darmstadt) MSC: 76E05 76M45 34L16 34L40 34E05 PDFBibTeX XMLCite \textit{B. S. Ng} and \textit{W. H. Reid}, Appl. Math. Lett. 13, No. 3, 51--55 (2000; Zbl 0991.76021) Full Text: DOI
Zhou, Heng; Lu, Changgen; Luo, Jisheng Modeling of individual coherent structures in wall region of a turbulent boundary layer. (English) Zbl 0980.76032 Sci. China, Ser. A 42, No. 6, 627-635 (1999). MSC: 76F40 76M20 PDFBibTeX XMLCite \textit{H. Zhou} et al., Sci. China, Ser. A 42, No. 6, 627--635 (1999; Zbl 0980.76032) Full Text: DOI
Gerlinger, P.; Stoll, P.; Brüggemann, D. Multigrid convergence acceleration for turbulent supersonic and hypersonic flows. (English) Zbl 0952.76527 ZAMM, Z. Angew. Math. Mech. 79, Suppl. 3, S681-S682 (1999). MSC: 76M20 76J20 76K05 76F10 PDFBibTeX XMLCite \textit{P. Gerlinger} et al., ZAMM, Z. Angew. Math. Mech. 79, S681--S682 (1999; Zbl 0952.76527)
Leblanc, Stéphane; Cambon, Claude Effects of the Coriolis force on the stability of Stuart vortices. (English) Zbl 0908.76036 J. Fluid Mech. 356, 353-379 (1998). MSC: 76E99 76U05 PDFBibTeX XMLCite \textit{S. Leblanc} and \textit{C. Cambon}, J. Fluid Mech. 356, 353--379 (1998; Zbl 0908.76036) Full Text: DOI
Shkalikov, A. A. The limit behavior of the spectrum for large parameter values in a model problem. (English. Russian original) Zbl 0937.34071 Math. Notes 62, No. 6, 796-799 (1997); translation from Mat. Zametki 62, No. 6, 950-953 (1997). Reviewer: Gheorghe Moroşanu (Iaşi) MSC: 34L20 34L15 34B24 76E15 PDFBibTeX XMLCite \textit{A. A. Shkalikov}, Math. Notes 62, No. 6, 796--799 (1997; Zbl 0937.34071); translation from Mat. Zametki 62, No. 6, 950--953 (1997) Full Text: DOI
Alvarez, Lilliam; Rodriguez, Antonio; Sanchez, Ignacio A numerical technique to solve linear and non-linear singularly perturbed problems. (English) Zbl 0896.65054 Conca, Carlos (ed.) et al., Numerical methods in mechanics. 4th French-Latinamerican congress on Applied mathematics, University of Concepción, Concepción, Chile, December 11–15, 1995. London: Longman. Pitman Res. Notes Math. Ser. 371, 25-34 (1997). MSC: 65L10 34E15 65M20 34B05 34B15 35K05 PDFBibTeX XMLCite \textit{L. Alvarez} et al., Pitman Res. Notes Math. Ser. 371, 25--34 (1997; Zbl 0896.65054)
Langer, Heinz; Tretter, Christiane Spectral properties of the Orr-Sommerfeld problem. (English) Zbl 0897.34070 Proc. R. Soc. Edinb., Sect. A, Math. 127, No. 6, 1245-1261 (1997). Reviewer: V.A.Liskevich (Bristol) MSC: 34L20 34K10 34B15 PDFBibTeX XMLCite \textit{H. Langer} and \textit{C. Tretter}, Proc. R. Soc. Edinb., Sect. A, Math. 127, No. 6, 1245--1261 (1997; Zbl 0897.34070) Full Text: DOI
Teng, C. H.; Lin, S. P.; Chen, J. N. Absolute and convective instability of a viscous liquid curtain in a viscous gas. (English) Zbl 0898.76031 J. Fluid Mech. 332, 105-120 (1997). Reviewer: A.Georgescu (Bucureşti) MSC: 76E05 76E15 PDFBibTeX XMLCite \textit{C. H. Teng} et al., J. Fluid Mech. 332, 105--120 (1997; Zbl 0898.76031) Full Text: DOI
Hiegemann, M. Chebyshev matrix operator method for the solution of integrated forms of linear ordinary differential equations. (English) Zbl 0873.65073 Acta Mech. 122, No. 1-4, 231-242 (1997). Reviewer: S.Yanchuk (Kiev) MSC: 65L05 35K15 65L15 34A30 34L15 PDFBibTeX XMLCite \textit{M. Hiegemann}, Acta Mech. 122, No. 1--4, 231--242 (1997; Zbl 0873.65073) Full Text: DOI
Wang, Famin; Zhao, Lie; Yu, Xin Stability study of an unsteady oscillation flow. (English) Zbl 0845.76024 Appl. Math. Mech., Engl. Ed. 17, No. 3, 281-294 (1996). MSC: 76E05 PDFBibTeX XMLCite \textit{F. Wang} et al., Appl. Math. Mech., Engl. Ed. 17, No. 3, 281--294 (1996; Zbl 0845.76024) Full Text: DOI
Klein, P. P. A modified Orr-Sommerfeld problem. (English) Zbl 0900.76772 Z. Angew. Math. Mech. 76, Suppl. 2, 577-578 (1996). MSC: 76W05 PDFBibTeX XMLCite \textit{P. P. Klein}, Z. Angew. Math. Mech. 76, 577--578 (1996; Zbl 0900.76772)
Wall, D. P.; Wilson, S. K. The linear stability of channel flow of fluid with temperature-dependent viscosity. (English) Zbl 0886.76030 J. Fluid Mech. 323, 107-132 (1996). MSC: 76E05 76M20 80A20 PDFBibTeX XMLCite \textit{D. P. Wall} and \textit{S. K. Wilson}, J. Fluid Mech. 323, 107--132 (1996; Zbl 0886.76030) Full Text: DOI
Drazin, P. G.; Tourigny, Y. Extending the utility of perturbation series in problems of waves and stability. (English) Zbl 0893.76066 Greco, Antonio M. (ed.) et al., The proceedings of the 8th international conference on Waves and stability in continuous media, held in Palermo, Italy, October 9–14, 1995. Part 1–2. Palermo: Circolo Matemático di Palermo, Suppl. Rend. Circ. Mat. Palermo, II. Ser. 45, 209-219 (1996). MSC: 76M25 76E05 76B15 PDFBibTeX XMLCite \textit{P. G. Drazin} and \textit{Y. Tourigny}, in: The proceedings of the 8th international conference on Waves and stability in continuous media, held in Palermo, Italy, October 9--14, 1995. Part 1--2. Palermo: Circolo Matemático di Palermo. 209--219 (1996; Zbl 0893.76066)
Popov, I. Yu. Operator approach to three problems of fluid mechanics. (English) Zbl 0842.76024 Arch. Mech. 47, No. 6, 1043-1056 (1995). MSC: 76D99 76E99 PDFBibTeX XMLCite \textit{I. Yu. Popov}, Arch. Mech. 47, No. 6, 1043--1056 (1995; Zbl 0842.76024)
Popov, I. Yu. Hydrodynamic stability and perturbation of the Schrödinger operator. (English) Zbl 0831.35039 Lett. Math. Phys. 35, No. 2, 155-161 (1995). MSC: 35J10 76E05 35P10 35B20 PDFBibTeX XMLCite \textit{I. Yu. Popov}, Lett. Math. Phys. 35, No. 2, 155--161 (1995; Zbl 0831.35039) Full Text: DOI
Marliani, G.; Vasanta Ram, V. Channel flows with Coriolis force: Stability calculation using the spectral method. (Die Kanalströmung mit Corioliskraft: Die Berechnung ihrer Stabilität mit der Spektralmethode.) (German) Zbl 0834.76026 Z. Angew. Math. Mech. 75, Suppl. 1, S397-S398 (1995). Reviewer: J.T.Heynatz (Germering) MSC: 76E05 76U05 76M25 PDFBibTeX XMLCite \textit{G. Marliani} and \textit{V. Vasanta Ram}, Z. Angew. Math. Mech. 75, S397--S398 (1995; Zbl 0834.76026) Full Text: DOI
Brevdo, L. Initial-boundary value stability problem for the Blasius boundary layer. (English) Zbl 0830.76028 Z. Angew. Math. Mech. 75, No. 5, 371-378 (1995). MSC: 76E05 76D10 PDFBibTeX XMLCite \textit{L. Brevdo}, Z. Angew. Math. Mech. 75, No. 5, 371--378 (1995; Zbl 0830.76028) Full Text: DOI
Klein, Peter P. Remarks to the numerical treatment of nonselfadjoint eigenvalue problems. (English) Zbl 0880.65030 Bainov, Drumi (ed.) et al., Proceedings of the 3rd international colloquium on numerical analysis, Plovdiv, Bulgaria, August 13–17, 1994. Invited lectures and short communications. Singapore: SCT Publishing, 117-126 (1995). MSC: 65J10 65F15 15A42 47A75 65L15 34L15 PDFBibTeX XMLCite \textit{P. P. Klein}, in: Proceedings of the 3rd international colloquium on numerical analysis, Plovdiv, Bulgaria, August 13--17, 1994. Invited lectures and short communications. Singapore: SCT Publishing. 117--126 (1995; Zbl 0880.65030)
Georgievskij, D. V. The stability of a plane ideal rigid-plastic Couette flow. (English. Russian original) Zbl 0822.76030 J. Appl. Math. Mech. 58, No. 1, 183-188 (1994); translation from Prikl. Mat. Mekh. 58, No. 1, 171-175 (1994). MSC: 76E05 76A05 74H99 PDFBibTeX XMLCite \textit{D. V. Georgievskij}, J. Appl. Math. Mech. 58, No. 1, 1 (1994; Zbl 0822.76030); translation from Prikl. Mat. Mekh. 58, No. 1, 171--175 (1994) Full Text: DOI
Shalikov, Andrey A.; Tretter, Christiane Kamke problems. Properties of the eigenfunctions. (English) Zbl 0813.34071 Math. Nachr. 170, 251-275 (1994). Reviewer: M.Möller (Regensburg) MSC: 34L10 34B05 PDFBibTeX XMLCite \textit{A. A. Shalikov} and \textit{C. Tretter}, Math. Nachr. 170, 251--275 (1994; Zbl 0813.34071) Full Text: DOI
Fischer, Thomas M. A spectral Galerkin approximation of the Orr-Sommerfeld eigenvalue problem in a semi-infinite domain. (English) Zbl 0791.65061 Numer. Math. 66, No. 2, 159-179 (1993). Reviewer: Thomas M.Fischer (Göttingen) MSC: 65L15 65L60 76D10 34L40 34L15 PDFBibTeX XMLCite \textit{T. M. Fischer}, Numer. Math. 66, No. 2, 159--179 (1993; Zbl 0791.65061) Full Text: DOI EuDML
Herwig, H.; Schäfer, P. Influence of variable properties on the stability of two-dimensional boundary layers. (English) Zbl 0757.76013 J. Fluid Mech. 243, 1-14 (1992). MSC: 76E05 76D10 80A20 PDFBibTeX XMLCite \textit{H. Herwig} and \textit{P. Schäfer}, J. Fluid Mech. 243, 1--14 (1992; Zbl 0757.76013) Full Text: DOI
Anturkar, N. R.; Papanastasiou, T. C.; Wilkes, J. O. Compound matrix method for eigenvalue problems in multiple connected domains. (English) Zbl 0763.65068 Commun. Appl. Numer. Methods 8, No. 11, 811-818 (1992). Reviewer: T.Regińska (Warszawa) MSC: 65L15 65L12 34E13 34L15 PDFBibTeX XMLCite \textit{N. R. Anturkar} et al., Commun. Appl. Numer. Methods 8, No. 11, 811--818 (1992; Zbl 0763.65068) Full Text: DOI Link
Tchavdarov, B. An upper bound on the growth rate of the linear instability in a capillary jet. (English) Zbl 0770.76025 Z. Angew. Math. Mech. 72, No. 7, 303-305 (1992). MSC: 76E05 76D25 76D45 PDFBibTeX XMLCite \textit{B. Tchavdarov}, Z. Angew. Math. Mech. 72, No. 7, 303--305 (1992; Zbl 0770.76025) Full Text: DOI
Frenkel, Alexander L. Stability of an oscillating Kolmogorov flow. (English) Zbl 0745.76023 Phys. Fluids, A 3, No. 7, 1718-1729 (1991). MSC: 76E99 PDFBibTeX XMLCite \textit{A. L. Frenkel}, Phys. Fluids, A 3, No. 7, 1718--1729 (1991; Zbl 0745.76023) Full Text: DOI
Bramley, S.; Dieci, L.; Russell, R. D. Numerical solution of eigenvalue problems for linear boundary value ODEs. (English) Zbl 0726.65101 J. Comput. Phys. 94, No. 2, 382-402 (1991). Reviewer: V.Pereyra (Los Altos) MSC: 65L15 34L15 34L30 PDFBibTeX XMLCite \textit{S. Bramley} et al., J. Comput. Phys. 94, No. 2, 382--402 (1991; Zbl 0726.65101) Full Text: DOI
Ryzhov, O. S. Boundary value problems of the asymptotic theory of hydrodynamic stability. (English. Russian original) Zbl 0723.76030 Proc. Steklov Inst. Math. 186, 143-151 (1991); translation from Tr. Mat. Inst. Steklova 186, 124-131 (1989). MSC: 76D07 76E99 76D33 PDFBibTeX XMLCite \textit{O. S. Ryzhov}, Proc. Steklov Inst. Math. 186, 143--151 (1991; Zbl 0723.76030); translation from Tr. Mat. Inst. Steklova 186, 124--131 (1989)
Fearn, David R. Eigensolutions of boundary value problems using inverse iteration. (English) Zbl 0723.65064 J. Comput. Appl. Math. 34, No. 2, 201-209 (1991). Reviewer: E.V.Nicolau (Bucureşti) MSC: 65L15 65L70 65F15 34L15 PDFBibTeX XMLCite \textit{D. R. Fearn}, J. Comput. Appl. Math. 34, No. 2, 201--209 (1991; Zbl 0723.65064) Full Text: DOI
Nasr, H.; El-Hawary, H. M. A Chebyshev method for the solution of boundary value problems. (English) Zbl 0782.65105 Int. J. Comput. Math. 40, No. 3-4, 251-258 (1991). Reviewer: T.Mitsui (Chikusa-ku / Nagoya) MSC: 65L10 65L15 34B30 34B15 PDFBibTeX XMLCite \textit{H. Nasr} and \textit{H. M. El-Hawary}, Int. J. Comput. Math. 40, No. 3--4, 251--258 (1991; Zbl 0782.65105) Full Text: DOI
Abdullah, A. A.; Lindsay, K. A. Some remarks on the computation of the eigenvalues of linear systems. (English) Zbl 0742.76031 Math. Models Methods Appl. Sci. 1, No. 2, 153-165 (1991). MSC: 76E05 76E25 65F15 PDFBibTeX XMLCite \textit{A. A. Abdullah} and \textit{K. A. Lindsay}, Math. Models Methods Appl. Sci. 1, No. 2, 153--165 (1991; Zbl 0742.76031) Full Text: DOI
Dériat, Emmanuel; Guiraud, Jean-Pierre Des fonctions propres de l’opérateur d’Orr-Sommerfeld et de son adjoint dans le cas du domaine semi-infini. (On the Orr-Sommerfeld direct and adjoint operator’s eigenfunctions in the semi-infinite case). (French. Abridged English version) Zbl 0735.34070 C. R. Acad. Sci., Paris, Sér. I 313, No. 11, 817-822 (1991). MSC: 34L10 47E05 PDFBibTeX XMLCite \textit{E. Dériat} and \textit{J.-P. Guiraud}, C. R. Acad. Sci., Paris, Sér. I 313, No. 11, 817--822 (1991; Zbl 0735.34070)
Fischer, T. M. Theoretical and numerical investigation of boundary-layer instabilities. (English) Zbl 0769.76021 Trends in applications of mathematics to mechanics, Proc. 8th Symp., STAMM-8, Hollabrunn/Austria 1989, 288-294 (1991). Reviewer: L.Brevdo (Braunschweig) MSC: 76E05 76D10 PDFBibTeX XMLCite \textit{T. M. Fischer}, in: Trends and applications of mathematics to mechanics. Proceedings of the 8th symposium, STAMM-8, held at Hollabrunn, Austria, August 13-18, 1989. Harlow: Longman; New York: Wiley. 288--294 (1991; Zbl 0769.76021)
Fischer, Thomas M. Ein mathematisch-physikalisches Modell zur Beschreibung transitioneller Grenzschichtströmungen. I: Die linearen und nichtlinearen Störungsdifferentialgleichungen. (A mathematical-physical model for describing transitional boundary-layer flows. I: The linear and nonlinear disturbance differential equations.). (German) Zbl 0739.35065 DLR Forschungsbericht 90-24. Köln: Deutsche Forschungsanstalt für Luft- und Raumfahrt (DLR), 65 p. (1990). Reviewer: H.Neunzert (Kaiserslautern) MSC: 35Q30 76D10 65M60 35C20 35B10 PDFBibTeX XML
Afendikov, A. L.; Varin, V. P. Investigation of the oscillatory states close to the Poiseuille flow through a plane channel. (English. Russian original) Zbl 0726.76053 Sov. Phys., Dokl. 35, No. 8, 720-723 (1990); translation from Dokl. Akad. Nauk SSSR 313, No. 6, 1407-1412 (1990). MSC: 76F20 37D45 PDFBibTeX XMLCite \textit{A. L. Afendikov} and \textit{V. P. Varin}, Sov. Phys., Dokl. 35, No. 8, 720--723 (1990; Zbl 0726.76053); translation from Dokl. Akad. Nauk SSSR 313, No. 6, 1407--1412 (1990)
Klein, P. P. Eigenwerteinschließung bei nichtselbstadjungierten Eigenwertaufgaben. (Eigenvalue inclusion for nonselfadjoint eigenvalue problems). (German) Zbl 0716.65078 Z. Angew. Math. Mech. 70, No. 6, 560-562 (1990). Reviewer: P.P.Klein MSC: 65L15 34L15 76E05 65L07 34D20 34B30 PDFBibTeX XMLCite \textit{P. P. Klein}, Z. Angew. Math. Mech. 70, No. 6, 560--562 (1990; Zbl 0716.65078)
Fischer, T. M. A Galerkin approximation for linear eigenvalue problems in two and three- dimensional boundary-layer flows. (English) Zbl 0702.76046 The Navier-Stokes equations theory and numerical methods, Proc. Conf., Oberwolfach/FRG 1988, Lect. Notes Math. 1431, 100-108 (1990). MSC: 76D10 PDFBibTeX XML
Goussis, Dimitrios A.; Pearlstein, Arne J. Removal of infinite eigenvalues in the generalized matrix eigenvalue problem. (English) Zbl 0691.65020 J. Comput. Phys. 84, No. 1, 242-246 (1989). Reviewer: L.Boubelíková MSC: 65F15 65L15 34L99 PDFBibTeX XMLCite \textit{D. A. Goussis} and \textit{A. J. Pearlstein}, J. Comput. Phys. 84, No. 1, 242--246 (1989; Zbl 0691.65020) Full Text: DOI
Kolyshkin, A. A.; Vaillancourt, Rémi A note on a method of solution for convective stability problems. (English) Zbl 0668.76052 Commun. Appl. Numer. Methods 5, No. 5, 299-307 (1989). MSC: 76E15 80A20 76D99 76M99 65Y05 PDFBibTeX XMLCite \textit{A. A. Kolyshkin} and \textit{R. Vaillancourt}, Commun. Appl. Numer. Methods 5, No. 5, 299--307 (1989; Zbl 0668.76052) Full Text: DOI
Shanthini, Rajaratnam Degeneracies of the temporal Orr-Sommerfeld eigenmodules in plane Poiseuille flow. (English) Zbl 0667.76060 J. Fluid Mech. 201, 13-34 (1989). MSC: 76E05 76F10 76M99 PDFBibTeX XMLCite \textit{R. Shanthini}, J. Fluid Mech. 201, 13--34 (1989; Zbl 0667.76060) Full Text: DOI
Bozduganov, Ivan Dimov Finite amplitude method in the theory of nonlinear capillary. (Bulgarian. English, Russian summaries) Zbl 0689.76017 God. Sofij. Univ., Fak. Mat. Mekh. 78(1984), No. 2, 139-148 (1988). MSC: 76E30 76D05 PDFBibTeX XMLCite \textit{I. D. Bozduganov}, God. Sofiĭ. Univ., Fak. Mat. Mekh. 78, No. 2, 139--148 (1988; Zbl 0689.76017)
Yeo, K. S. The stability of boundary-layer flow over single-and multi-layer viscoelastic walls. (English) Zbl 0657.76012 J. Fluid Mech. 196, 359-408 (1988). MSC: 76A10 76E30 76M99 PDFBibTeX XMLCite \textit{K. S. Yeo}, J. Fluid Mech. 196, 359--408 (1988; Zbl 0657.76012) Full Text: DOI
Haj-Hariri, Hossein Transformations reducing the order of the parameter in differential eigenvalue problems. (English) Zbl 0654.65065 J. Comput. Phys. 77, No. 2, 472-484 (1988). Reviewer: K.Najzar MSC: 65L15 34L99 PDFBibTeX XMLCite \textit{H. Haj-Hariri}, J. Comput. Phys. 77, No. 2, 472--484 (1988; Zbl 0654.65065) Full Text: DOI
Debnath, Lokenath Bifurcation and nonlinear instability in applied mathematics. (English) Zbl 0689.76002 Nonlinear analysis, 161-285 (1987). MSC: 76-02 76Exx PDFBibTeX XML
Bridges, Thomas J.; Morris, Philip J. Boundary layer stability calculations. (English) Zbl 0635.76034 Phys. Fluids 30, 3351-3358 (1987). MSC: 76E05 76D10 76M99 35Q30 PDFBibTeX XMLCite \textit{T. J. Bridges} and \textit{P. J. Morris}, Phys. Fluids 30, 3351--3358 (1987; Zbl 0635.76034) Full Text: DOI
Bosduganov, Ivan D. Solution of the Orr-Sommerfeld boundary value problems by Gaussian matrix elimination method. (Bulgarian. English summary) Zbl 0633.76027 Mathematics and education in mathematics, Proc. 16th Spring Conf., Sunny Beach/Bulg. 1987, 320-324 (1987). MSC: 76D05 76M99 65N99 PDFBibTeX XML
Morris, Philip J. Applications of matrix factorization in hydrodynamic stability. (English) Zbl 0617.76045 Applied mathematics and computing, Trans. 4th Army Conf., Ithaca/N.Y. 1986, ARO Rep. 87-1, 53-66 (1987). MSC: 76E05 76E17 76E99 PDFBibTeX XML
Bieler, Heribert Theoretische Untersuchungen über primäre Instabilitäten in dreidimensionalen Grenzschichtströmungen. (Theoretical investigations about primary instabilities in threedimensional boundary layer flows.). (German) Zbl 0625.76042 DFVLR Forschungsber. DFVLR-FB 86-54, 123 S. (1986). Reviewer: R.H.W.Hoppe MSC: 76D10 76E99 76M99 PDFBibTeX XML
Lam, T. T.; Bayazitoglu, Y. Solution to the Orr-Sommerfeld equation for liquid film flowing down an inclined plane: An optimal approach. (English) Zbl 0612.76050 Int. J. Numer. Methods Fluids 6, 883-894 (1986). MSC: 76E15 76M99 PDFBibTeX XMLCite \textit{T. T. Lam} and \textit{Y. Bayazitoglu}, Int. J. Numer. Methods Fluids 6, 883--894 (1986; Zbl 0612.76050) Full Text: DOI
Meyer, Gunter H. Continuous orthonormalization for boundary value problems. (English) Zbl 0602.65061 J. Comput. Phys. 62, 248-262 (1986). Reviewer: T.Mitsui MSC: 65L10 65L15 34B05 34L99 PDFBibTeX XMLCite \textit{G. H. Meyer}, J. Comput. Phys. 62, 248--262 (1986; Zbl 0602.65061) Full Text: DOI
Sleptsov, A. G. The spline-collocation and the spline-Galerkin methods for Orr-Sommerfeld problem. (English) Zbl 0587.76060 Numerical boundary value ODEs, Proc. Int. Workshop, Vancouver/Can. 1984, Prog. Sci. Comput. 5, 137-147 (1985). MSC: 76E05 65L10 76M99 65D07 PDFBibTeX XML
Dong, Mingde The spectral problem of Poiseuille flow. (English) Zbl 0581.76061 Appl. Math. Mech., Engl. Ed. 6, 213-218 (1985). MSC: 76E99 PDFBibTeX XMLCite \textit{M. Dong}, Appl. Math. Mech., Engl. Ed. 6, 213--218 (1985; Zbl 0581.76061) Full Text: DOI
Ng, B. S.; Reid, W. H. The compound matrix method for ordinary differential systems. (English) Zbl 0576.34014 J. Comput. Phys. 58, 209-228 (1985). Reviewer: R.S.Dahiya MSC: 34B05 65L10 PDFBibTeX XMLCite \textit{B. S. Ng} and \textit{W. H. Reid}, J. Comput. Phys. 58, 209--228 (1985; Zbl 0576.34014) Full Text: DOI
Georgiou, G. A.; Ellinas, C. P. On the solution for steady state and time dependent flows in certain channels with small wall curvature. (English) Zbl 0571.76021 Int. J. Numer. Methods Fluids 5, 169-189 (1985). Reviewer: M.Boudourides MSC: 76D05 76M99 PDFBibTeX XMLCite \textit{G. A. Georgiou} and \textit{C. P. Ellinas}, Int. J. Numer. Methods Fluids 5, 169--189 (1985; Zbl 0571.76021) Full Text: DOI
Panton, Ronald L. Incompressible flow. (English) Zbl 0623.76001 A Wiley-Interscience Publication. New York etc.: John Wiley & Sons. XV, 780 p. (1984). MSC: 76-01 PDFBibTeX XML
Zhuk, V. I. Asymptotic behavior of solutions of the Orr-Sommerfeld equations in regions adjacent to two branches of the neutral curve. (English. Russian original) Zbl 0563.76043 Fluid Dyn. 19, 515-522 (1984); translation from Izv. Akad. Nauk SSSR, Mekh. Zhidk. Gaza 1984, No. 4, 3-11 (1984). MSC: 76D10 76E99 PDFBibTeX XMLCite \textit{V. I. Zhuk}, Fluid Dyn. 19, 515--522 (1984; Zbl 0563.76043); translation from Izv. Akad. Nauk SSSR, Mekh. Zhidk. Gaza 1984, No. 4, 3--11 (1984) Full Text: DOI
Bridges, T. J.; Morris, P. J. Differential eigenvalue problems in which the parameter appears nonlinearly. (English) Zbl 0543.65063 J. Comput. Phys. 55, 437-460 (1984). MSC: 65L15 34L99 PDFBibTeX XMLCite \textit{T. J. Bridges} and \textit{P. J. Morris}, J. Comput. Phys. 55, 437--460 (1984; Zbl 0543.65063) Full Text: DOI
Babenko, K. I.; Vasil’ev, M. M. On demonstrative computations in the problem of stability of plane Poiseuille flow. (English. Russian original) Zbl 0569.76056 Sov. Math., Dokl. 28, 763-768 (1983); translation from Dokl. Akad. Nauk SSSR 273, 1289-1294 (1983). MSC: 76E99 PDFBibTeX XMLCite \textit{K. I. Babenko} and \textit{M. M. Vasil'ev}, Sov. Math., Dokl. 28, 763--768 (1983; Zbl 0569.76056); translation from Dokl. Akad. Nauk SSSR 273, 1289--1294 (1983)
Brodowicz, K.; Shamloul, M. The effect of the transversal velocity on the stability of laminar flow in a cylindrical channel. (English) Zbl 0539.76043 Arch. Mech. 35, 155-168 (1983). MSC: 76E05 76T99 PDFBibTeX XMLCite \textit{K. Brodowicz} and \textit{M. Shamloul}, Arch. Mech. 35, 155--168 (1983; Zbl 0539.76043)
Sleptsov, A. G. Projection-grid methods for the solution of the Orr-Sommerfeld problem. (Russian) Zbl 0539.76041 Chislennye Metody Mekh. Sploshnoj Sredy 14, No. 5, 111-126 (1983). MSC: 76Exx 76F99 76M99 PDFBibTeX XML
Davey, A. An automatic orthonormalization method for solving stiff boundary-value problems. (English) Zbl 0516.65065 J. Comput. Phys. 51, 343-356 (1983). MSC: 65L10 65L15 34B05 34L99 PDFBibTeX XMLCite \textit{A. Davey}, J. Comput. Phys. 51, 343--356 (1983; Zbl 0516.65065) Full Text: DOI
England, Roland Some examples of parameter estimation by multiple shooting. (English) Zbl 0513.65056 Numerical treatment of inverse problems in differential and integral equations, Proc. int. Workshop, Heidelberg 1982, Prog. Sci. Comput. 2, 122-136 (1983). MSC: 65L15 65L10 34A55 34L99 34B15 34-04 PDFBibTeX XML
Kadelburg, Zoran Asymptotic of ”The spectral functions” of two non-self-adjoint boundary-value problems. (English) Zbl 0505.34016 Math. Notes 30, 827-831 (1982). MSC: 34L99 PDFBibTeX XMLCite \textit{Z. Kadelburg}, Math. Notes 30, 827--831 (1982; Zbl 0505.34016) Full Text: DOI
Lakin, W. D.; Reid, W. H. Corrigendum to: Asymptotic analysis of the Orr-Sommerfeld problem for boundary-layer flows. (English) Zbl 0495.76056 Q. J. Mech. Appl. Math. 35, 548 (1982). MSC: 76E99 76D10 PDFBibTeX XMLCite \textit{W. D. Lakin} and \textit{W. H. Reid}, Q. J. Mech. Appl. Math. 35, 548 (1982; Zbl 0495.76056) Full Text: DOI
Bramley, J. S.; Dennis, S. C. R. The calculation of eigenvalues for the stationary perturbation of Poiseuille flow. (English) Zbl 0493.76025 J. Comput. Phys. 47, 179-198 (1982). MSC: 76D05 76M99 76D99 76E99 65N25 65N30 PDFBibTeX XMLCite \textit{J. S. Bramley} and \textit{S. C. R. Dennis}, J. Comput. Phys. 47, 179--198 (1982; Zbl 0493.76025) Full Text: DOI
Smith, Marc K.; Davis, Stephen H. The instability of sheared liquid layers. (English) Zbl 0491.76045 J. Fluid Mech. 121, 187-206 (1982). MSC: 76E05 76F10 PDFBibTeX XMLCite \textit{M. K. Smith} and \textit{S. H. Davis}, J. Fluid Mech. 121, 187--206 (1982; Zbl 0491.76045) Full Text: DOI
Lakin, W. D.; Reid, W. H. Asymptotic analysis of the Orr-Sommerfeld problem for boundary-layer flows. (English) Zbl 0478.76059 Q. J. Mech. Appl. Math. 35, 69-89 (1982). MSC: 76E99 76D10 PDFBibTeX XMLCite \textit{W. D. Lakin} and \textit{W. H. Reid}, Q. J. Mech. Appl. Math. 35, 69--89 (1982; Zbl 0478.76059) Full Text: DOI
Zhou, Heng; Li, Li The eigenvalue problem and expansion theorems associated with Orr- Sommerfeld equation. (English) Zbl 0609.35068 Appl. Math. Mech., Engl. Ed. 2, 319-330 (1981). MSC: 35P10 35C10 35Q99 PDFBibTeX XMLCite \textit{H. Zhou} and \textit{L. Li}, Appl. Math. Mech., Engl. Ed. 2, 319--330 (1981; Zbl 0609.35068) Full Text: DOI
Kadelburg, Zoran On the asymptotics of the ”spectral functions” of two not self-adjoint boundary value problems. (Russian) Zbl 0497.34022 Mat. Zametki 30, 659-667 (1981). MSC: 34L99 76E99 81U99 PDFBibTeX XMLCite \textit{Z. Kadelburg}, Mat. Zametki 30, 659--667 (1981; Zbl 0497.34022)
Akbay, U.; Sponagel, St. Über die Stabilität viskometrischer Strömungen. (German) Zbl 0477.76003 Rheol. Acta 20, 579-590 (1981). MSC: 76A05 PDFBibTeX XMLCite \textit{U. Akbay} and \textit{St. Sponagel}, Rheol. Acta 20, 579--590 (1981; Zbl 0477.76003) Full Text: DOI
Ng, B. S.; Reid, W. H. On the numerical solution of the Orr-Sommerfeld problem: Asymptotic initial conditions for shooting methods. (English) Zbl 0468.76039 J. Comput. Phys. 38, 275-293 (1980). MSC: 76D10 35P30 65N25 PDFBibTeX XMLCite \textit{B. S. Ng} and \textit{W. H. Reid}, J. Comput. Phys. 38, 275--293 (1980; Zbl 0468.76039) Full Text: DOI
Gersting, John M. jun. Numerical methods for eigensystems: The Orr-Sommerfeld problem as an initial value problem. (English) Zbl 0444.65050 Comput. Math. Appl. 6, 167-174 (1980). MSC: 65L10 65L15 68Q25 76D99 PDFBibTeX XMLCite \textit{J. M. Gersting jun.}, Comput. Math. Appl. 6, 167--174 (1980; Zbl 0444.65050) Full Text: DOI
Davey, A. On the numerical solution of difficult boundary-value problems. (English) Zbl 0425.65045 J. Comput. Phys. 35, 36-47 (1980). MSC: 65L10 34B05 PDFBibTeX XMLCite \textit{A. Davey}, J. Comput. Phys. 35, 36--47 (1980; Zbl 0425.65045) Full Text: DOI
Reid, W. H. Some asymptotic problems in the theory of the stability of stratified viscous shear flows. (English) Zbl 0418.76030 Rotating fluids in geophysics, Summer Sch. 1977, 471-484 (1978). MSC: 76E05 76F10 PDFBibTeX XML
Grosch, Chester E.; Orszag, Steven A. Numerical solution of problems in unbounded regions: coordinate transforms. (English) Zbl 0403.65050 J. Comput. Phys. 25, 273-295 (1977). MSC: 65Z05 76R99 74H45 76D10 35L05 35Q99 PDFBibTeX XMLCite \textit{C. E. Grosch} and \textit{S. A. Orszag}, J. Comput. Phys. 25, 273--295 (1977; Zbl 0403.65050) Full Text: DOI