Li, Meng; Zhao, Jikun; Wang, Zhongchi; Chen, Shaochun Conservative conforming and nonconforming vems for fourth order nonlinear Schrödinger equations with trapped term. (English) Zbl 07806681 J. Comput. Math. 42, No. 2, 454-499 (2024). MSC: 65N35 65N12 76D07 65N15 PDFBibTeX XMLCite \textit{M. Li} et al., J. Comput. Math. 42, No. 2, 454--499 (2024; Zbl 07806681) Full Text: DOI
Li, Hang; Su, Chunmei Low regularity exponential-type integrators for the “good” Boussinesq equation. (English) Zbl 07800845 IMA J. Numer. Anal. 43, No. 6, 3656-3684 (2023). MSC: 65M70 65N35 65T50 65M12 65M15 35C08 76B15 76B25 35Q35 PDFBibTeX XMLCite \textit{H. Li} and \textit{C. Su}, IMA J. Numer. Anal. 43, No. 6, 3656--3684 (2023; Zbl 07800845) Full Text: DOI
Hamid, M.; Usman, M.; Tian, Zhenfu Computational analysis for fractional characterization of coupled convection-diffusion equations arising in MHD flows. (English) Zbl 1515.33009 AMM, Appl. Math. Mech., Engl. Ed. 44, No. 4, 669-692 (2023). MSC: 33C45 35K57 65M70 76W05 PDFBibTeX XMLCite \textit{M. Hamid} et al., AMM, Appl. Math. Mech., Engl. Ed. 44, No. 4, 669--692 (2023; Zbl 1515.33009) Full Text: DOI
Khasi, Manoochehr; Rashidinia, Jalil; Rasoulizadeh, Mohammad Navaz Fast computing approaches based on a bilinear pseudo-spectral method for nonlinear acoustic wave equations. (English) Zbl 1518.65119 SIAM J. Sci. Comput. 45, No. 4, B413-B439 (2023). MSC: 65M70 65L06 65F15 65N15 35L05 41A60 76Q05 35Q35 15A18 PDFBibTeX XMLCite \textit{M. Khasi} et al., SIAM J. Sci. Comput. 45, No. 4, B413--B439 (2023; Zbl 1518.65119) Full Text: DOI
Tian, Liutao; Jiao, Yujian Modified Legendre rational spectral method for Burgers equation on the whole line. (English) Zbl 07663591 J. Math. Study 55, No. 4, 415-431 (2022). MSC: 65M70 41A30 76M22 33C45 65M12 PDFBibTeX XMLCite \textit{L. Tian} and \textit{Y. Jiao}, J. Math. Study 55, No. 4, 415--431 (2022; Zbl 07663591) Full Text: DOI
Joshi, S. M.; Kazolea, M.; Ricchiuto, M. Parameter sensitivity for wave-breaking closures in Boussinesq-type models. (English) Zbl 1505.65275 Water Waves 4, No. 3, 491-515 (2022). MSC: 65M70 65N30 65M06 76F65 76U60 76M10 76M12 76B15 86A05 35C08 49K40 PDFBibTeX XMLCite \textit{S. M. Joshi} et al., Water Waves 4, No. 3, 491--515 (2022; Zbl 1505.65275) Full Text: DOI
Heydari, M. H.; Razzaghi, M. Jacobi spectral method for variable-order fractional Benney-Lin equation arising in falling film problems. (English) Zbl 1524.65654 J. Comput. Appl. Math. 402, Article ID 113813, 12 p. (2022). MSC: 65M70 26A33 35R11 34A08 65M12 65D32 33C45 76A20 76B45 35Q35 35Q53 35B36 65M15 PDFBibTeX XMLCite \textit{M. H. Heydari} and \textit{M. Razzaghi}, J. Comput. Appl. Math. 402, Article ID 113813, 12 p. (2022; Zbl 1524.65654) Full Text: DOI
Delkhosh, Mehdi; Rahmanzadeh, Amanj; Shafiei, Seyyedeh-Fatemeh Solving nonlinear differential equations in astrophysics and fluid mechanics using the generalized pseudospectral method. (English) Zbl 1484.65158 S\(\vec{\text{e}}\)MA J. 78, No. 4, 457-474 (2021). MSC: 65L60 65L10 76M22 76A05 85-08 PDFBibTeX XMLCite \textit{M. Delkhosh} et al., S\(\vec{\text{e}}\)MA J. 78, No. 4, 457--474 (2021; Zbl 1484.65158) 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
Nikan, O.; Avazzadeh, Z. Coupling of the Crank-Nicolson scheme and localized meshless technique for viscoelastic wave model in fluid flow. (English) Zbl 1486.65205 J. Comput. Appl. Math. 398, Article ID 113695, 19 p. (2021). MSC: 65M70 65M06 65N35 65D12 65M12 35L15 76A10 74D99 35A35 PDFBibTeX XMLCite \textit{O. Nikan} and \textit{Z. Avazzadeh}, J. Comput. Appl. Math. 398, Article ID 113695, 19 p. (2021; Zbl 1486.65205) Full Text: DOI
Hu, Rentian; Edwards, Thomas K.; Smith, Leslie M.; Stechmann, Samuel N. Initial investigations of precipitating quasi-geostrophic turbulence with phase changes. (English) Zbl 1457.65144 Res. Math. Sci. 8, No. 1, Paper No. 6, 25 p. (2021). MSC: 65M70 65N35 65L06 35M10 35J60 86A05 86A10 76T10 76F65 86-08 35Q86 PDFBibTeX XMLCite \textit{R. Hu} et al., Res. Math. Sci. 8, No. 1, Paper No. 6, 25 p. (2021; Zbl 1457.65144) Full Text: DOI
Fatone, Lorella; Funaro, Daniele; Manzini, Gianmarco On the use of Hermite functions for the Vlasov-Poisson system. (English) Zbl 1484.65247 Sherwin, Spencer J. (ed.) et al., Spectral and high order methods for partial differential equations, ICOSAHOM 2018. Selected papers from the ICOSAHOM conference, London, UK, July 9–13, 2018. Cham: Springer. Lect. Notes Comput. Sci. Eng. 134, 143-153 (2020). MSC: 65M70 76X05 33C45 41A58 35Q83 35Q35 PDFBibTeX XMLCite \textit{L. Fatone} et al., Lect. Notes Comput. Sci. Eng. 134, 143--153 (2020; Zbl 1484.65247) Full Text: DOI
Jiao, Yujian A novel spectral method for Burgers equation on the real line. (English) Zbl 1468.65164 East Asian J. Appl. Math. 10, No. 3, 532-548 (2020). MSC: 65M70 65L06 65M12 41A30 33C45 76M22 35Q35 PDFBibTeX XMLCite \textit{Y. Jiao}, East Asian J. Appl. Math. 10, No. 3, 532--548 (2020; Zbl 1468.65164) Full Text: DOI
Alhawwary, Mohammad; Wang, Zhijian A combined-mode Fourier analysis of DG methods for linear parabolic problems. (English) Zbl 1456.65101 SIAM J. Sci. Comput. 42, No. 6, A3825-A3858 (2020). Reviewer: Bülent Karasözen (Ankara) MSC: 65M60 65M70 76M10 76R50 76F99 42A38 35K05 PDFBibTeX XMLCite \textit{M. Alhawwary} and \textit{Z. Wang}, SIAM J. Sci. Comput. 42, No. 6, A3825--A3858 (2020; Zbl 1456.65101) Full Text: DOI arXiv
Az-Zo’bi, Emad A.; Yıldırım, Ahmet; AlZoubi, Wael A. The residual power series method for the one-dimensional unsteady flow of a van der Waals gas. (English) Zbl 1514.76056 Physica A 517, 188-196 (2019). MSC: 76M22 65M70 76Nxx PDFBibTeX XMLCite \textit{E. A. Az-Zo'bi} et al., Physica A 517, 188--196 (2019; Zbl 1514.76056) Full Text: DOI
Gholamipoor, Morteza; Ghiasi, Mahmoud A meshless numerical wave tank for simulation of fully nonlinear wave-wave and wave-current interactions. (English) Zbl 1446.76142 J. Eng. Math. 119, 115-133 (2019). MSC: 76M99 76B15 76B07 PDFBibTeX XMLCite \textit{M. Gholamipoor} and \textit{M. Ghiasi}, J. Eng. Math. 119, 115--133 (2019; Zbl 1446.76142) Full Text: DOI
Thirumalai, Sagithya; Seshadri, Rajeswari; Yuzbasi, Suayip Population dynamics between a prey and a predator using spectral collocation method. (English) Zbl 1422.65291 Int. J. Biomath. 12, No. 5, Article ID 1950049, 23 p. (2019). MSC: 65M70 45J05 97M60 76M22 92D25 35R09 41A50 42C10 33C45 PDFBibTeX XMLCite \textit{S. Thirumalai} et al., Int. J. Biomath. 12, No. 5, Article ID 1950049, 23 p. (2019; Zbl 1422.65291) Full Text: DOI
Abualnaja, Khadijah M. Numerical study for system of ODEs obtained from MHD flow past a permeable flat plate in a Darcian porous medium using Laguerre collocation method. (English) Zbl 1462.65158 Int. J. Appl. Comput. Math. 5, No. 2, Paper No. 41, 7 p. (2019). MSC: 65M70 65L60 76W05 76S05 80A21 80A19 33C45 41A30 PDFBibTeX XMLCite \textit{K. M. Abualnaja}, Int. J. Appl. Comput. Math. 5, No. 2, Paper No. 41, 7 p. (2019; Zbl 1462.65158) Full Text: DOI
Blokhin, A. M.; Kruglova, E. A.; Semisalov, B. V. Estimation of two error components in the numerical solution to the problem of nonisothermal flow of polymer fluid between two coaxial cylinders. (English. Russian original) Zbl 1442.76013 Comput. Math. Math. Phys. 58, No. 7, 1099-1115 (2018); translation from Zh. Vychisl. Mat. Mat. Fiz. 58, No. 7 (2018). MSC: 76A10 65M70 65M15 33C45 PDFBibTeX XMLCite \textit{A. M. Blokhin} et al., Comput. Math. Math. Phys. 58, No. 7, 1099--1115 (2018; Zbl 1442.76013); translation from Zh. Vychisl. Mat. Mat. Fiz. 58, No. 7 (2018) Full Text: DOI
Thirumalai, Sagithya; Seshadri, Rajeswari Spectral analysis on Burgers’ equation and its solutions using three different basis functions. (English) Zbl 1407.65227 Int. J. Appl. Comput. Math. 4, No. 3, Paper No. 93, 21 p. (2018). MSC: 65M70 35Q35 35Q53 65L06 35K55 76L05 41A10 41A50 42C10 33C45 PDFBibTeX XMLCite \textit{S. Thirumalai} and \textit{R. Seshadri}, Int. J. Appl. Comput. Math. 4, No. 3, Paper No. 93, 21 p. (2018; Zbl 1407.65227) Full Text: DOI
de Aguiar, R.; Climent-Ezquerra, B.; Rojas-Medar, M. A.; Rojas-Medar, M. D. On the convergence of Galerkin spectral methods for a bioconvective flow. (English) Zbl 1368.35212 J. Math. Fluid Mech. 19, No. 1, 91-104 (2017). MSC: 35Q30 76D05 76M22 76Z99 76R50 92C10 65M60 65M70 65M12 PDFBibTeX XMLCite \textit{R. de Aguiar} et al., J. Math. Fluid Mech. 19, No. 1, 91--104 (2017; Zbl 1368.35212) Full Text: DOI
Karakazian, Hagop; Nassif, Nabil Strong and Weak Solutions to the Hasegawa-Mima Equation with Periodic Boundary Conditions. arXiv:1712.05524 Preprint, arXiv:1712.05524 [math.AP] (2017). MSC: 35M33 35A01 76X05 65M70 46E35 BibTeX Cite \textit{H. Karakazian} and \textit{N. Nassif}, ``Strong and Weak Solutions to the Hasegawa-Mima Equation with Periodic Boundary Conditions'', Preprint, arXiv:1712.05524 [math.AP] (2017) Full Text: arXiv OA License
Pipicano, Felipe Alexander; Grajales, Juan Carlos Muñoz Well-posedness and computation of solutions of a regularized Benjamin-Ono system. (English) Zbl 1352.42033 Rev. Integr. 34, No. 1, 59-80 (2016). MSC: 42B37 35R09 42A38 42A45 35C07 44A15 47A75 35Q51 65M70 65T50 76M45 PDFBibTeX XMLCite \textit{F. A. Pipicano} and \textit{J. C. M. Grajales}, Rev. Integr. 34, No. 1, 59--80 (2016; Zbl 1352.42033) Full Text: DOI
Climent-Ezquerra, B.; Poblete-Cantellano, M.; Rojas-Medar, Marko A. On the convergence of spectral approximations for the heat convection equations. (English) Zbl 1381.76246 Rev. Mat. Complut. 29, No. 2, 405-422 (2016). MSC: 76M22 65M70 65M12 76D05 76R99 PDFBibTeX XMLCite \textit{B. Climent-Ezquerra} et al., Rev. Mat. Complut. 29, No. 2, 405--422 (2016; Zbl 1381.76246) Full Text: DOI
Wu, Nan-Jing; Tsay, Ting-Kuei; Chen, Yang-Yih Generation of stable solitary waves by a piston-type wave maker. (English) Zbl 1456.76033 Wave Motion 51, No. 2, 240-255 (2014). MSC: 76B25 65M70 PDFBibTeX XMLCite \textit{N.-J. Wu} et al., Wave Motion 51, No. 2, 240--255 (2014; Zbl 1456.76033) Full Text: DOI
Eskilsson, Claes; Engsig-Karup, Allan P. On devising Boussinesq-type models with bounded eigenspectra: one horizontal dimension. (English) Zbl 1349.76200 J. Comput. Phys. 271, 261-280 (2014). MSC: 76M10 65M60 65M70 76B15 86A05 PDFBibTeX XMLCite \textit{C. Eskilsson} and \textit{A. P. Engsig-Karup}, J. Comput. Phys. 271, 261--280 (2014; Zbl 1349.76200) Full Text: DOI
Suarez, Jean-Piero; Jacobs, Gustaaf B.; Don, Wai-Sun A high-order Dirac-delta regularization with optimal scaling in the spectral solution of one-dimensional singular hyperbolic conservation laws. (English) Zbl 1308.65173 SIAM J. Sci. Comput. 36, No. 4, A1831-A1849 (2014). MSC: 65M70 35L65 35L67 35Q53 76N15 35M12 76M22 PDFBibTeX XMLCite \textit{J.-P. Suarez} et al., SIAM J. Sci. Comput. 36, No. 4, A1831--A1849 (2014; Zbl 1308.65173) Full Text: DOI
Farina, Leandro; Ziebell, Juliana S. Solutions of hypersingular integral equations over circular domains by a spectral method. (English) Zbl 1340.65316 Brandts, J. (ed.) et al., Proceedings of the international conference ‘Applications of mathematics’, Prague, Czech Republic, May 15–17, 2013. In honor of the 70th birthday of Karel Segeth. Prague: Academy of Sciences of the Czech Republic, Institute of Mathematics (ISBN 978-80-85823-61-5). 52-66 (2013). Reviewer: Vratislava Mošová (Olomouc) MSC: 65R20 76B15 45E10 PDFBibTeX XMLCite \textit{L. Farina} and \textit{J. S. Ziebell}, in: Proceedings of the international conference `Applications of mathematics', Prague, Czech Republic, May 15--17, 2013. In honor of the 70th birthday of Karel Segeth. Prague: Academy of Sciences of the Czech Republic, Institute of Mathematics. 52--66 (2013; Zbl 1340.65316) Full Text: Link
Suleimanov, B. A.; Dyshin, O. A. Application of discrete wavelet transform to the solution of boundary value problems for quasi-linear parabolic equations. (English) Zbl 1286.65136 Appl. Math. Comput. 219, No. 12, 7036-7047 (2013). MSC: 65M70 35K59 35R05 76S05 65M12 65T60 PDFBibTeX XMLCite \textit{B. A. Suleimanov} and \textit{O. A. Dyshin}, Appl. Math. Comput. 219, No. 12, 7036--7047 (2013; Zbl 1286.65136) Full Text: DOI
Fan, Chia-Ming; Li, Hong-Huei Solving the inverse Stokes problems by the modified collocation Trefftz method and Laplacian decomposition. (English) Zbl 1302.76055 Appl. Math. Comput. 219, No. 12, 6520-6535 (2013). MSC: 76D07 65N21 65N35 76M22 PDFBibTeX XMLCite \textit{C.-M. Fan} and \textit{H.-H. Li}, Appl. Math. Comput. 219, No. 12, 6520--6535 (2013; Zbl 1302.76055) Full Text: DOI
Xiang, Xin-Min; Wang, Zhong-Qing Generalized Hermite approximations and spectral method for partial differential equations in multiple dimensions. (English) Zbl 1282.65161 J. Sci. Comput. 57, No. 2, 229-253 (2013). MSC: 65N35 76M22 33C45 65M12 35J25 35L05 PDFBibTeX XMLCite \textit{X.-M. Xiang} and \textit{Z.-Q. Wang}, J. Sci. Comput. 57, No. 2, 229--253 (2013; Zbl 1282.65161) Full Text: DOI
Rezaei, A. R.; Shaban, M.; Parand, K. Numerical investigation on nano boundary layer equation with Navier boundary condition. (English) Zbl 1242.76222 Math. Methods Appl. Sci. 35, No. 8, 976-992 (2012). MSC: 76M22 65L60 33C45 PDFBibTeX XMLCite \textit{A. R. Rezaei} et al., Math. Methods Appl. Sci. 35, No. 8, 976--992 (2012; Zbl 1242.76222) Full Text: DOI
Sakai, T.; Redekopp, L. G. An application of one-sided Jacobi polynomials for spectral modeling of vector fields in polar coordinates. (English) Zbl 1175.65120 J. Comput. Phys. 228, No. 18, 7069-7085 (2009). MSC: 65M70 35L02 76B15 76M22 PDFBibTeX XMLCite \textit{T. Sakai} and \textit{L. G. Redekopp}, J. Comput. Phys. 228, No. 18, 7069--7085 (2009; Zbl 1175.65120) Full Text: DOI
Blakely, Chris; Gelb, Anne; Navarra, Antonio An automated method for recovering piecewise smooth functions on spheres free from Gibbs oscillations. (English) Zbl 1156.42301 Sampl. Theory Signal Image Process. 6, No. 3, 323-346 (2007). MSC: 42A10 42C05 42C20 65M70 76E20 86A10 PDFBibTeX XMLCite \textit{C. Blakely} et al., Sampl. Theory Signal Image Process. 6, No. 3, 323--346 (2007; Zbl 1156.42301)
Besse, Christophe; Mauser, Norbert J.; Stimming, Hans Peter Numerical study of the Davey-Stewartson system. (English) Zbl 1080.65095 M2AN, Math. Model. Numer. Anal. 38, No. 6, 1035-1054 (2004). MSC: 65M70 35Q55 76M22 76B15 PDFBibTeX XMLCite \textit{C. Besse} et al., M2AN, Math. Model. Numer. Anal. 38, No. 6, 1035--1054 (2004; Zbl 1080.65095) Full Text: DOI Numdam EuDML
Davies, Penny J.; Duncan, Dugald B. Stability and convergence of collocation schemes for retarded potential integral equations. (English) Zbl 1079.65133 SIAM J. Numer. Anal. 42, No. 3, 1167-1188 (2004). Reviewer: Hermann Brunner (St. John’s) MSC: 65R20 78A45 65N38 76Q05 76M15 45E10 PDFBibTeX XMLCite \textit{P. J. Davies} and \textit{D. B. Duncan}, SIAM J. Numer. Anal. 42, No. 3, 1167--1188 (2004; Zbl 1079.65133) Full Text: DOI
Iovane, G.; Lifanov, I. K.; Sumbatyan, M. A. On direct numerical treatment of hypersingular integral equations arising in mechanics and acoustics. (English) Zbl 1051.65130 Acta Mech. 162, No. 1-4, 99-110 (2003). MSC: 65R20 45E10 74R10 76Q05 PDFBibTeX XMLCite \textit{G. Iovane} et al., Acta Mech. 162, No. 1--4, 99--110 (2003; Zbl 1051.65130) Full Text: DOI arXiv
Turkyilmazoglu, M. Flow in the vicinity of the trailing edge of Joukowski-type profiles. (English) Zbl 1056.76027 Proc. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 458, No. 2023, 1653-1672 (2002). MSC: 76D10 76G25 PDFBibTeX XMLCite \textit{M. Turkyilmazoglu}, Proc. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 458, No. 2023, 1653--1672 (2002; Zbl 1056.76027) Full Text: DOI
Ryaben’kij, V. S. Method of difference potentials and its applications. (Metod raznostnykh potentsialov i ego prilodzheniya). 2nd augmented and revised ed. (Metod raznostnykh potentsialov i ego prilodzheniya.) (Russian) Zbl 1014.65112 Moskva: FIZMATLIT. 494 p. (2002). Reviewer: Leonid B.Chubarov (Novosibirsk) MSC: 65N06 74S20 65E05 76N15 76M20 78A45 65-02 78M20 35J55 65N35 76M22 PDFBibTeX XMLCite \textit{V. S. Ryaben'kij}, Metod raznostnykh potentsialov i ego prilodzheniya (Russian). 2nd augmented and revised ed. Moskva: FIZMATLIT (2002; Zbl 1014.65112)
Chandler-Wilde, Simon N.; Rahman, Mizanur; Ross, C. R. A fast two-grid and finite section method for a class of integral equations on the real line with application to an acoustic scattering problem in the half-plane. (English) Zbl 1012.65145 Numer. Math. 93, No. 1, 1-51 (2002). Reviewer: Josef Kofroň (Praha) MSC: 65R20 45E10 76Q05 PDFBibTeX XMLCite \textit{S. N. Chandler-Wilde} et al., Numer. Math. 93, No. 1, 1--51 (2002; Zbl 1012.65145) Full Text: DOI
Turkyilmazoglu, M. The absolute instability of Joukowski-type airfoils. (English) Zbl 1014.76022 Theor. Comput. Fluid Dyn. 15, No. 4, 255-264 (2002). MSC: 76E15 76D10 76M45 76M22 76D09 PDFBibTeX XMLCite \textit{M. Turkyilmazoglu}, Theor. Comput. Fluid Dyn. 15, No. 4, 255--264 (2002; Zbl 1014.76022) Full Text: DOI
Vainikko, Gennadi Fast solvers of generalized airfoil equation of index 1. (English) Zbl 1004.65145 Elschner, J. (ed.) et al., Problems and methods in mathematical physics. The Siegfried Prössdorf memorial volume. Proceedings of the 11th TMP conference, Chemnitz, Germany, March 25-28, 1999. Basel: Birkhäuser. Oper. Theory, Adv. Appl. 121, 498-516 (2001). MSC: 65R20 76M25 76B10 45E10 PDFBibTeX XMLCite \textit{G. Vainikko}, in: Problems and methods in mathematical physics. The Siegfried Prössdorf memorial volume. Proceedings of the 11th TMP conference, Chemnitz, Germany, March 25--28, 1999. Basel: Birkhäuser. 498--516 (2001; Zbl 1004.65145)
Liu, G. R.; Wu, T. Y. Application of generalized differential quadrature rule in Blasius and Onsager equations. (English) Zbl 0996.76072 Int. J. Numer. Methods Eng. 52, No. 9, 1013-1027 (2001). MSC: 76M25 76D10 76U05 PDFBibTeX XMLCite \textit{G. R. Liu} and \textit{T. Y. Wu}, Int. J. Numer. Methods Eng. 52, No. 9, 1013--1027 (2001; Zbl 0996.76072) Full Text: DOI
Lifanov, P. I. On a uniform approximation of a hypersingular integral equation on the torus. (English. Russian original) Zbl 1003.65150 Differ. Equ. 36, No. 9, 1381-1386 (2000); translation from Differ. Uravn. 36, No. 9, 1248-1252 (2000). MSC: 65R20 35J05 65N35 76M22 45E10 76G25 65N38 76M15 PDFBibTeX XMLCite \textit{P. I. Lifanov}, Differ. Equ. 36, No. 9, 1381--1386 (2000; Zbl 1003.65150); translation from Differ. Uravn. 36, No. 9, 1248--1252 (2000) Full Text: DOI
Becker, L. E.; McKinley, G. H. The stability of viscoelastic creeping plane shear flows with viscous heating. (English) Zbl 0988.76032 J. Non-Newtonian Fluid Mech. 92, No. 2-3, 109-133 (2000). MSC: 76E05 76A10 80A20 PDFBibTeX XMLCite \textit{L. E. Becker} and \textit{G. H. McKinley}, J. Non-Newton. Fluid Mech. 92, No. 2--3, 109--133 (2000; Zbl 0988.76032) Full Text: DOI
Härtel, Carlos; Michaud, Manuel A numerical simulation study of two-dimensional gravity currents. (English) Zbl 0962.76587 Davies, Peter A. (ed.), Mixing and dispersion in stably stratified flows. Based on the proceedings of the 5th IMA conference, Univ. of Dundee, GB, September 1996. Oxford: Clarendon Press. Inst. Math. Appl. Conf. Ser., New Ser. 68, 23-37 (1999). MSC: 76M22 76M20 76D50 65M70 PDFBibTeX XMLCite \textit{C. Härtel} and \textit{M. Michaud}, Inst. Math. Appl. Conf. Ser., New Ser. 68, 23--37 (1999; Zbl 0962.76587)
Brunner, H. The dicretization of neutral functional integro-differential equations by collocation methods. (English) Zbl 0951.65149 Z. Anal. Anwend. 18, No. 2, 393-406 (1999). Reviewer: Stanislav Mika (Plzeň) MSC: 65R20 76G25 45E10 45J05 PDFBibTeX XMLCite \textit{H. Brunner}, Z. Anal. Anwend. 18, No. 2, 393--406 (1999; Zbl 0951.65149) Full Text: DOI EuDML
Junghanns, Peter Numerical solution of a free surface seepage problem from nonlinear channel. (English) Zbl 0865.65096 Appl. Anal. 63, No. 1-2, 87-110 (1996). Reviewer: P.Junghanns (Chemnitz) MSC: 65R20 45G05 45E05 65D32 76S05 PDFBibTeX XML
Junghanns, P. On the numerical solution of nonlinear singular integral equations. (English) Zbl 0888.76083 Z. Angew. Math. Mech. 76, Suppl. 2, 157-160 (1996). MSC: 76S05 65R20 PDFBibTeX XMLCite \textit{P. Junghanns}, Z. Angew. Math. Mech. 76, 157--160 (1996; Zbl 0888.76083)
Xu, Chuanju A spectral method for the linearized Euler equations. (Chinese. English summary) Zbl 0852.76072 J. Xiamen Univ., Nat. Sci. 33, No. 5, 599-605 (1994). MSC: 76M25 76B47 65M70 PDFBibTeX XMLCite \textit{C. Xu}, J. Xiamen Univ., Nat. Sci. 33, No. 5, 599--605 (1994; Zbl 0852.76072)
Pasquarelli, F.; Quarteroni, A. Effective spectral approximations of convection-diffusion equations. (English) Zbl 0826.76072 Comput. Methods Appl. Mech. Eng. 116, 39-51 (1994). MSC: 76M25 76R99 65N35 PDFBibTeX XMLCite \textit{F. Pasquarelli} and \textit{A. Quarteroni}, Comput. Methods Appl. Mech. Eng. 116, No. 1--4, 39--51 (1994; Zbl 0826.76072) Full Text: DOI
Timmermans, L. J. P.; van de Vosse, F. N. Spectral methods for advection-diffusion problems. (English) Zbl 0805.76058 Vreugdenhil, Cornelis B. (ed.) et al., Numerical methods for advection - diffusion problems. Braunschweig: Vieweg. Notes Numer. Fluid Mech. 45, 171-194 (1993). MSC: 76M25 76R99 65M70 65N35 PDFBibTeX XMLCite \textit{L. J. P. Timmermans} and \textit{F. N. van de Vosse}, Notes Numer. Fluid Mech. 45, 171--194 (1993; Zbl 0805.76058)
Mansutti, D.; Pontrelli, G.; Rajagopal, K. R. Steady flows of non-Newtonian fluids past a porous plate with suction or injection. (English) Zbl 0797.76003 Int. J. Numer. Methods Fluids 17, No. 11, 927-941 (1993). MSC: 76A05 76S05 76M20 PDFBibTeX XMLCite \textit{D. Mansutti} et al., Int. J. Numer. Methods Fluids 17, No. 11, 927--941 (1993; Zbl 0797.76003) Full Text: DOI
Israeli, M.; Vozovoi, L.; Averbuch, A. Spectral multidomain technique with local Fourier basis. (English) Zbl 0784.76066 J. Sci. Comput. 8, No. 2, 135-149 (1993). MSC: 76M25 65M70 65N35 65Y05 PDFBibTeX XMLCite \textit{M. Israeli} et al., J. Sci. Comput. 8, No. 2, 135--149 (1993; Zbl 0784.76066) Full Text: DOI
Berthold, D.; Hoppe, W.; Silbermann, B. A fast algorithm for solving the generalized airfoil equation. (English) Zbl 0761.65102 J. Comput. Appl. Math. 43, No. 1-2, 185-219 (1992). Reviewer: T.Tang (Burnaby) MSC: 65R20 76B10 45E05 PDFBibTeX XMLCite \textit{D. Berthold} et al., J. Comput. Appl. Math. 43, No. 1--2, 185--219 (1992; Zbl 0761.65102) Full Text: DOI
Pikhtov, S. V.; Smirnov, E. M. Boundary layer stability on a rotating disk with corotation of the surrounding fluid. (English. Russian original) Zbl 0793.76040 Fluid Dyn. 27, No. 5, 657-663 (1992); translation from Izv. Ross. Akad. Nauk, Mekh. Zhidk. Gaza 1992, No. 5, 69-77 (1992). Reviewer: W.Koch (Göttingen) MSC: 76E05 76U05 76D05 PDFBibTeX XMLCite \textit{S. V. Pikhtov} and \textit{E. M. Smirnov}, Fluid Dyn. 27, No. 5, 657--663 (1992; Zbl 0793.76040); translation from Izv. Ross. Akad. Nauk, Mekh. Zhidk. Gaza 1992, No. 5, 69--77 (1992) Full Text: DOI
Iranzo, V.; Falqués, A. Some spectral approximations for differential equations in unbounded domains. (English) Zbl 0762.76081 Comput. Methods Appl. Mech. Eng. 98, No. 1, 105-126 (1992). MSC: 76M25 76B15 65L60 86A10 PDFBibTeX XMLCite \textit{V. Iranzo} and \textit{A. Falqués}, Comput. Methods Appl. Mech. Eng. 98, No. 1, 105--126 (1992; Zbl 0762.76081) Full Text: DOI
Ehrenstein, U. The spectrum of a Chebyshev-Fourier approximation for the Stokes equations. (English) Zbl 0708.76098 J. Sci. Comput. 5, No. 1, 55-83 (1990). MSC: 76M25 76D07 35Q30 PDFBibTeX XMLCite \textit{U. Ehrenstein}, J. Sci. Comput. 5, No. 1, 55--83 (1990; Zbl 0708.76098) Full Text: DOI
Kamiya, N.; Miyazawa, H.; Kita, E. Nonlinear free surface water wave analysis by the boundary element method. (English) Zbl 0699.76015 Computational engineering with boundary elements. Vol. 1: Fluid and potential problems, Proc. 5th Int. Conf. Boundary Elem. Technol., Newark/DE (USA) 1990, 3-12 (1990). MSC: 76B10 65N35 PDFBibTeX XML
Monegato, G.; Lepora, P. On the numerical resolution of the generalized airfoil equation with Possio kernel. (English) Zbl 0695.65079 Numer. Math. 56, No. 8, 775-787 (1990). Reviewer: S.Spassov MSC: 65R20 45E10 76B10 PDFBibTeX XMLCite \textit{G. Monegato} and \textit{P. Lepora}, Numer. Math. 56, No. 8, 775--787 (1990; Zbl 0695.65079) Full Text: DOI EuDML
Rokhlin, V. Rapid solution of integral equations of scattering theory in two dimensions. (English) Zbl 0686.65079 J. Comput. Phys. 86, No. 2, 414-439 (1990). Reviewer: Ll.G.Chambers MSC: 65N35 65R20 35J05 35C15 45E10 76Q05 PDFBibTeX XMLCite \textit{V. Rokhlin}, J. Comput. Phys. 86, No. 2, 414--439 (1990; Zbl 0686.65079) Full Text: DOI
Gastaldi, Fabio; Quarteroni, Alfio On the coupling of hyperbolic and parabolic systems: Analytical and numerical approach. (English) Zbl 0686.65084 Appl. Numer. Math. 6, No. 1-2, 3-31 (1989). Reviewer: W.Heinrichs MSC: 65N35 35M99 76D05 35Q30 PDFBibTeX XMLCite \textit{F. Gastaldi} and \textit{A. Quarteroni}, Appl. Numer. Math. 6, No. 1--2, 3--31 (1989; Zbl 0686.65084) Full Text: DOI Link
Berger, Harald A convergent finite element formulation for transonic flow. (English) Zbl 0681.76066 Numer. Math. 56, No. 5, 425-447 (1989). MSC: 76H05 65M99 65N99 35L67 35M99 65L60 65N30 PDFBibTeX XMLCite \textit{H. Berger}, Numer. Math. 56, No. 5, 425--447 (1989; Zbl 0681.76066) Full Text: DOI EuDML
Ehrenstein, Uwe; Koch, Werner Nonlinear bifurcation study of plane Poiseuille flow. (English) Zbl 0678.76052 DLR Forschungsber. 42, 111 p. (1989). MSC: 76F99 76D99 76M99 PDFBibTeX XML
Ehrenstein, U.; Peyret, R. A Chebyshev collocation method for the Navier-Stokes equations with application to double-diffusive convection. (English) Zbl 0665.76107 Int. J. Numer. Methods Fluids 9, No. 4, 427-452 (1989). MSC: 76R50 76-01 PDFBibTeX XMLCite \textit{U. Ehrenstein} and \textit{R. Peyret}, Int. J. Numer. Methods Fluids 9, No. 4, 427--452 (1989; Zbl 0665.76107) Full Text: DOI
Stephan, E. P.; Suri, M. On the convergence of the p-version of the boundary element Galerkin method. (English) Zbl 0661.65118 Math. Comput. 52, No. 185, 31-48 (1989). Reviewer: C.-I.Gheorghiu MSC: 65N35 65N30 65R20 35C15 45E10 35J05 76Q05 PDFBibTeX XMLCite \textit{E. P. Stephan} and \textit{M. Suri}, Math. Comput. 52, No. 185, 31--48 (1989; Zbl 0661.65118) Full Text: DOI
Varnhorn, Werner Efficient quadrature for a boundary element method to compute three- dimensional Stokes flow. (English) Zbl 0658.76034 Int. J. Numer. Methods Fluids 9, No. 2, 185-191 (1989). MSC: 76D07 65D07 76M99 PDFBibTeX XMLCite \textit{W. Varnhorn}, Int. J. Numer. Methods Fluids 9, No. 2, 185--191 (1989; Zbl 0658.76034) Full Text: DOI
Bruch, John C. jun.; Comincioli, V.; Gupta, C. S. An analysis of three-dimensional unsteady seepage through an earth dam. (English) Zbl 0678.76104 The mathematics of finite elements and applications VI, MAFELAP 1987, Proc. 6th Conf., Uxbridge/UK 1987, 405-412 (1988). MSC: 76S05 76M99 PDFBibTeX XML
Wu, Yungchao Waves generated by an inclined-plate wave generator. (English) Zbl 0665.76020 Int. J. Numer. Methods Fluids 8, No. 7, 803-811 (1988). MSC: 76B15 76M99 PDFBibTeX XMLCite \textit{Y. Wu}, Int. J. Numer. Methods Fluids 8, No. 7, 803--811 (1988; Zbl 0665.76020) Full Text: DOI
Kleinman, R. E.; Roach, G. F. Iterative solutions of boundary integral equations in acoustics. (English) Zbl 0647.65083 Proc. R. Soc. Lond., Ser. A 417, No. 1852, 45-57 (1988). Reviewer: P.K.Mahanti MSC: 65Z05 65R20 65N35 76Q05 45E10 65F10 35J05 PDFBibTeX XMLCite \textit{R. E. Kleinman} and \textit{G. F. Roach}, Proc. R. Soc. Lond., Ser. A 417, No. 1852, 45--57 (1988; Zbl 0647.65083) Full Text: DOI
Charalambakis, Nicolas; Mitsopoulou, Efthimia Analytical and numerical solution of materials exhibiting strain hardening or temperature-dependent viscosity. (English) Zbl 0654.73027 Q. J. Mech. Appl. Math. 40, 89-104 (1987). Reviewer: R.J.Knops MSC: 74S30 76D99 74S05 74C99 PDFBibTeX XMLCite \textit{N. Charalambakis} and \textit{E. Mitsopoulou}, Q. J. Mech. Appl. Math. 40, 89--104 (1987; Zbl 0654.73027) Full Text: DOI
Young, David P.; Woo, Alex C.; Bussoletti, John E.; Johnson, Forrester T. An exterior Poisson solver using fast direct methods and boundary integral equations with applications to nonlinear potential flow. (English) Zbl 0617.65119 SIAM J. Sci. Stat. Comput. 7, 1009-1021 (1986). Reviewer: P.Onumanyi MSC: 65N35 65R20 35J05 35C15 45E10 76H05 76B10 PDFBibTeX XMLCite \textit{D. P. Young} et al., SIAM J. Sci. Stat. Comput. 7, 1009--1021 (1986; Zbl 0617.65119) Full Text: DOI
Bernardi, Christine; Canuto, Claudio; Maday, Yvon Un problème variationnel abstrait. Application à une méthode de collocation pour les équations de Stokes. (An abstract variational problem. Application to a collocation method for the Stokes equations). (French) Zbl 0612.49004 C. R. Acad. Sci., Paris, Sér. I 303, 971-974 (1986). Reviewer: H.Brezis MSC: 49J20 65N35 76D07 33C45 49M99 PDFBibTeX XMLCite \textit{C. Bernardi} et al., C. R. Acad. Sci., Paris, Sér. I 303, 971--974 (1986; Zbl 0612.49004)
Levin, D.; Tal, A. A boundary collocation method for the solution of a flow problem in a complex three-dimensional porous medium. (English) Zbl 0597.76097 Int. J. Numer. Methods Fluids 6, 611-622 (1986). MSC: 76S05 65N35 76M99 35J05 PDFBibTeX XMLCite \textit{D. Levin} and \textit{A. Tal}, Int. J. Numer. Methods Fluids 6, 611--622 (1986; Zbl 0597.76097) Full Text: DOI
Hromadka, T. V. II Variable trial functions and the CVBEM. (English) Zbl 0634.65114 Numer. Methods Partial Differ. Equations 1, 259-278 (1985). MSC: 65N35 65R20 31A30 35J40 76B10 45E10 35C15 PDFBibTeX XMLCite \textit{T. V. Hromadka II}, Numer. Methods Partial Differ. Equations 1, 259--278 (1985; Zbl 0634.65114) Full Text: DOI
Hebeker, F. K. A boundary element method for Stokes equations in 3-D exterior domains. (English) Zbl 0574.76036 The mathematics of finite elements and applications V, MAFELAP 1984, Proc. 5th Conf., Uxbridge/Engl. 1984, 257-263 (1985). MSC: 76D07 76M99 PDFBibTeX XML
Lee, Joseph H. W.; Greenberg, Michael D. Line momentum source in shallow inviscid fluid. (English) Zbl 0547.76016 J. Fluid Mech. 145, 287-304 (1984). MSC: 76B10 76M99 PDFBibTeX XMLCite \textit{J. H. W. Lee} and \textit{M. D. Greenberg}, J. Fluid Mech. 145, 287--304 (1984; Zbl 0547.76016) Full Text: DOI
Hsiao, G. C.; Kopp, P.; Wendland, W. L. Some applications of a Galerkin-Collocation method for boundary integral equations of the first kind. (English) Zbl 0546.65091 Math. Methods Appl. Sci. 6, 280-325 (1984). Reviewer: S.Christiansen MSC: 65R20 65E05 30C30 45E10 35Q99 35C15 74B05 76D07 PDFBibTeX XMLCite \textit{G. C. Hsiao} et al., Math. Methods Appl. Sci. 6, 280--325 (1984; Zbl 0546.65091) Full Text: DOI
Wegmann, Rudolf Trefftz’ integral equation method for free boundary problems of potential theory. (English) Zbl 0513.65088 Numerical treatment of free-boundary value problems, Workshop Oberwolfach 1980, ISNM 58, 335-349 (1982). MSC: 65R20 65N35 76B10 35R35 45E05 35J05 35C15 PDFBibTeX XML
Yang, Zuo-Sheng Finite element method applied to solving the transonic integral equations of three dimensional thin wings. (English) Zbl 0508.76082 Finite element flow analysis, Proc. 4th int. Symp., Tokyo 1982, 425-432 (1982). MSC: 76H05 76B10 76M99 76L05 65N30 PDFBibTeX XML
Gupta, M. M.; Manohar, R. P.; Stephenson, J. W. Finite differences from a finite element point of view. (English) Zbl 0508.76009 Finite element flow analysis, Proc. 4th int. Symp., Tokyo 1982, 1057-1062 (1982). MSC: 76M99 76Bxx PDFBibTeX XML
Haftmann, Rolf Quadraturformeln vom Gaußtyp für singuläre Integrale und ihre Anwendung zur Lösung singulärer Integralgleichungen. (German) Zbl 0536.65095 Wiss. Inf. 17, 44 S. (1980). MSC: 65R20 65D32 76B10 41A55 45E05 30E20 PDFBibTeX XML
Hsiao, G. C.; Kopp, P.; Wendland, W. L. The synthesis of the collocation and the Galerkin method applied to some integral equations of the first kind. (English) Zbl 0438.45015 New developments in boundary element methods, Proc. 2nd int. Semin., Southampton 1980, 122-136 (1980). MSC: 45L05 65R20 30C30 65E05 76D05 35C15 35Q99 35S15 45F15 PDFBibTeX XML
Carey, G. G.; Cheung, Y. K.; Lau, S. L. Mixed operator problems using least squares finite element collocation. (English) Zbl 0424.65060 Comput. Methods Appl. Mech. Eng. 22, 121-130 (1980). MSC: 65N30 35M99 65N35 76N10 76N15 PDFBibTeX XMLCite \textit{G. G. Carey} et al., Comput. Methods Appl. Mech. Eng. 22, 121--130 (1980; Zbl 0424.65060) Full Text: DOI
Fromme, J. A.; Golberg, M. A. Numerical solution of a class of integral equations arising in two- dimensional aerodynamics - the problem of flaps. (English) Zbl 0434.65103 Solution methods for integral equations, theory and applications, Math. Concepts Meth. Sci. Eng., Vol. 18, 147-167 (1979). MSC: 65R20 76G25 45E05 PDFBibTeX XML
Fromme, J. A.; Golberg, M. A. Numerical solution of a class of integral equations arising in two- dimensional aerodynamics. (English) Zbl 0434.65102 Solution methods for integral equations, theory and applications, Math. Concepts Meth. Sci. Eng., Vol. 18, 109-146 (1979). MSC: 65R20 45E05 76G25 PDFBibTeX XML
Golberg, M. A.; Fromme, J. A. On the \(L_2\) convergence of collocation for the generalized airfoil equation. (English) Zbl 0428.65068 J. Math. Anal. Appl. 71, 271-286 (1979). MSC: 65R20 45E05 76G25 PDFBibTeX XMLCite \textit{M. A. Golberg} and \textit{J. A. Fromme}, J. Math. Anal. Appl. 71, 271--286 (1979; Zbl 0428.65068) Full Text: DOI
Chang, Ping-Wu; Patten, Thomas W.; Finlayson, Bruce A. Collocation and Galerkin finite element methods for viscoelastic fluid flow. I. Description of method and problems with fixed geometry. (English) Zbl 0422.76002 Comput. Fluids 7, 267-283 (1979). MSC: 76A10 65N30 65N35 PDFBibTeX XMLCite \textit{P.-W. Chang} et al., Comput. Fluids 7, 267--283 (1979; Zbl 0422.76002) Full Text: DOI
Thiele, F. Accurate numerical solutions of boundary layer flows by the finite- difference method of Hermitian type. (English) Zbl 0391.76023 J. Comput. Phys. 27, 138-159 (1978). MSC: 76D05 65N06 76-04 PDFBibTeX XMLCite \textit{F. Thiele}, J. Comput. Phys. 27, 138--159 (1978; Zbl 0391.76023) Full Text: DOI
Fromme, J.; Golberg, M. A. Numerical solution of a class of integral equations arising in two-dimensional aerodynamics. (English) Zbl 0349.65069 J. Optim. Theory Appl. 24, 169-206 (1978). MSC: 65R20 45E05 76B10 76N10 PDFBibTeX XMLCite \textit{J. Fromme} and \textit{M. A. Golberg}, J. Optim. Theory Appl. 24, 169--206 (1978; Zbl 0349.65069) Full Text: DOI
Otte, F.; Thiele, F. Numerical solution of three-dimensional linear differential equations with fast Fourier transforms and Hermitian finite differences. (English) Zbl 0325.76029 GAMM-Conf. numer. Methods Fluid Mech., Köln 1975, 122-127 (1975). MSC: 76D05 65N35 42A38 PDFBibTeX XML