Foroutan, Mohammadreza; Ebadian, Ali Chebyshev rational approximations for the Rosenau-KdV-RLW equation on the whole line. (English) Zbl 1399.65204 Int. J. Anal. Appl. 16, No. 1, 1-15 (2018). MSC: 65M12 41A20 35Q53 41A50 65M70 65M15 PDF BibTeX XML Cite \textit{M. Foroutan} and \textit{A. Ebadian}, Int. J. Anal. Appl. 16, No. 1, 1--15 (2018; Zbl 1399.65204) Full Text: Link
Leonardi, Filippo; Mishra, Siddhartha; Schwab, Christoph Numerical approximation of statistical solutions of planar, incompressible flows. (English) Zbl 1416.76184 Math. Models Methods Appl. Sci. 26, No. 13, 2471-2523 (2016). MSC: 76M20 65C05 65M06 65M75 76D06 76M35 PDF BibTeX XML Cite \textit{F. Leonardi} et al., Math. Models Methods Appl. Sci. 26, No. 13, 2471--2523 (2016; Zbl 1416.76184) Full Text: DOI
Xu, Kuan The Chebyshev points of the first kind. (English) Zbl 1334.65055 Appl. Numer. Math. 102, 17-30 (2016). MSC: 65D20 33C45 41A50 PDF BibTeX XML Cite \textit{K. Xu}, Appl. Numer. Math. 102, 17--30 (2016; Zbl 1334.65055) Full Text: DOI
Breda, D.; Diekmann, O.; Gyllenberg, M.; Scarabel, F.; Vermiglio, R. Pseudospectral discretization of nonlinear delay equations: new prospects for numerical bifurcation analysis. (English) Zbl 1352.34101 SIAM J. Appl. Dyn. Syst. 15, No. 1, 1-23 (2016). MSC: 34K28 37M20 65J08 65L07 65P30 92D25 34K20 PDF BibTeX XML Cite \textit{D. Breda} et al., SIAM J. Appl. Dyn. Syst. 15, No. 1, 1--23 (2016; Zbl 1352.34101) Full Text: DOI
Kasperski, G. A parallel Schwarz preconditioner for the Chebyshev Gauss-Lobatto collocation image operator. (English) Zbl 1352.65209 J. Comput. Phys. 296, 101-112 (2015). MSC: 65L60 65L10 65L50 PDF BibTeX XML Cite \textit{G. Kasperski}, J. Comput. Phys. 296, 101--112 (2015; Zbl 1352.65209) Full Text: DOI
Mehrpouya, M. A.; Shamsi, M.; Azhmyakov, V. An efficient solution of Hamiltonian boundary value problems by combined Gauss pseudospectral method with differential continuation approach. (English) Zbl 1395.49027 J. Franklin Inst. 351, No. 10, 4765-4785 (2014). MSC: 49M37 65M70 49M30 65K10 90C30 PDF BibTeX XML Cite \textit{M. A. Mehrpouya} et al., J. Franklin Inst. 351, No. 10, 4765--4785 (2014; Zbl 1395.49027) Full Text: DOI
Sedaghat, S.; Ordokhani, Y.; Dehghan, Mehdi On spectral method for Volterra functional integro-differential equations of neutral type. (English) Zbl 1311.65170 Numer. Funct. Anal. Optim. 35, No. 2, 223-239 (2014). Reviewer: Alexander N. Tynda (Penza) MSC: 65R20 45J05 45D05 PDF BibTeX XML Cite \textit{S. Sedaghat} et al., Numer. Funct. Anal. Optim. 35, No. 2, 223--239 (2014; Zbl 1311.65170) Full Text: DOI
Parand, K.; Dehghan, Mehdi; Baharifard, F. Solving a laminar boundary layer equation with the rational Gegenbauer functions. (English) Zbl 1351.76025 Appl. Math. Modelling 37, No. 3, 851-863 (2013). MSC: 76D10 76M22 65L60 PDF BibTeX XML Cite \textit{K. Parand} et al., Appl. Math. Modelling 37, No. 3, 851--863 (2013; Zbl 1351.76025) Full Text: DOI
Filali, A.; Khezzar, L. Numerical simulation of the Graetz problem in ducts with viscoelastic FENE-P fluids. (English) Zbl 1290.76063 Comput. Fluids 84, 1-15 (2013). MSC: 76M10 PDF BibTeX XML Cite \textit{A. Filali} and \textit{L. Khezzar}, Comput. Fluids 84, 1--15 (2013; Zbl 1290.76063) Full Text: DOI
Saadatmandi, Abbas; Dehghan, Mehdi A method based on the tau approach for the identification of a time-dependent coefficient in the heat equation subject to an extra measurement. (English) Zbl 1428.93039 J. Vib. Control 18, No. 8, 1125-1132 (2012). MSC: 93B30 42C10 PDF BibTeX XML Cite \textit{A. Saadatmandi} and \textit{M. Dehghan}, J. Vib. Control 18, No. 8, 1125--1132 (2012; Zbl 1428.93039) Full Text: DOI
Kong, Wai Yip; Rokhlin, Vladimir A new class of highly accurate differentiation schemes based on the prolate spheroidal wave functions. (English) Zbl 1247.65029 Appl. Comput. Harmon. Anal. 33, No. 2, 226-260 (2012). MSC: 65D25 65D20 33E10 35L05 65M70 65L15 PDF BibTeX XML Cite \textit{W. Y. Kong} and \textit{V. Rokhlin}, Appl. Comput. Harmon. Anal. 33, No. 2, 226--260 (2012; Zbl 1247.65029) Full Text: DOI
Li, Z.-C.; Chen, S.-Y.; Chien, C.-S.; Chen, H.-S. A spectral collocation method for a rotating Bose-Einstein condensation in optical lattices. (English) Zbl 1259.82012 Comput. Phys. Commun. 182, No. 6, 1215-1234 (2011). MSC: 82-08 35Q55 65M70 65D05 65M60 65M15 82B10 PDF BibTeX XML Cite \textit{Z. C. Li} et al., Comput. Phys. Commun. 182, No. 6, 1215--1234 (2011; Zbl 1259.82012) Full Text: DOI
Shahbazi, Khosro; Albin, Nathan; Bruno, Oscar P.; Hesthaven, Jan S. Multi-domain Fourier-continuation/WENO hybrid solver for conservation laws. (English) Zbl 1370.65040 J. Comput. Phys. 230, No. 24, 8779-8796 (2011). MSC: 65M06 65M70 PDF BibTeX XML Cite \textit{K. Shahbazi} et al., J. Comput. Phys. 230, No. 24, 8779--8796 (2011; Zbl 1370.65040) Full Text: DOI
Germann, N.; Dressler, M.; Windhab, E. J. Numerical solution of an extended White-Metzner model for eccentric Taylor-Couette flow. (English) Zbl 1432.76039 J. Comput. Phys. 230, No. 21, 7853-7866 (2011). MSC: 76A10 76M99 PDF BibTeX XML Cite \textit{N. Germann} et al., J. Comput. Phys. 230, No. 21, 7853--7866 (2011; Zbl 1432.76039) Full Text: DOI
Parand, K.; Shahini, M.; Dehghan, Mehdi Solution of a laminar boundary layer flow via a numerical method. (English) Zbl 1221.76157 Commun. Nonlinear Sci. Numer. Simul. 15, No. 2, 360-367 (2010). MSC: 76M25 76D10 PDF BibTeX XML Cite \textit{K. Parand} et al., Commun. Nonlinear Sci. Numer. Simul. 15, No. 2, 360--367 (2010; Zbl 1221.76157) Full Text: DOI
Saadatmandi, Abbas; Dehghan, Mehdi Numerical solution of the higher-order linear Fredholm integro-differential-difference equation with variable coefficients. (English) Zbl 1193.65229 Comput. Math. Appl. 59, No. 8, 2996-3004 (2010). MSC: 65R20 45J05 PDF BibTeX XML Cite \textit{A. Saadatmandi} and \textit{M. Dehghan}, Comput. Math. Appl. 59, No. 8, 2996--3004 (2010; Zbl 1193.65229) Full Text: DOI
Parand, K.; Shahini, M. Rational Chebyshev pseudospectral approach for solving Thomas-Fermi equation. (English) Zbl 1227.49050 Phys. Lett., A 373, No. 2, 210-213 (2009). MSC: 49S05 41A50 PDF BibTeX XML Cite \textit{K. Parand} and \textit{M. Shahini}, Phys. Lett., A 373, No. 2, 210--213 (2009; Zbl 1227.49050) Full Text: DOI
Gilsinn, David E. On algorithms for estimating computable error bounds for approximate periodic solutions of an autonomous delay differential equation. (English) Zbl 1221.65183 Commun. Nonlinear Sci. Numer. Simul. 14, No. 4, 1526-1550 (2009). MSC: 65L20 34K07 34K13 34K28 PDF BibTeX XML Cite \textit{D. E. Gilsinn}, Commun. Nonlinear Sci. Numer. Simul. 14, No. 4, 1526--1550 (2009; Zbl 1221.65183) Full Text: DOI
Parand, K.; Shahini, M.; Dehghan, Mehdi Rational Legendre pseudospectral approach for solving nonlinear differential equations of Lane-Emden type. (English) Zbl 1177.65100 J. Comput. Phys. 228, No. 23, 8830-8840 (2009). MSC: 65L05 65L60 34A34 85A15 PDF BibTeX XML Cite \textit{K. Parand} et al., J. Comput. Phys. 228, No. 23, 8830--8840 (2009; Zbl 1177.65100) Full Text: DOI
Kim, Seonhee; Kim, Sang Dong Preconditioning on high-order element methods using Chebyshev-Gauss-Lobatto nodes. (English) Zbl 1161.65038 Appl. Numer. Math. 59, No. 2, 316-333 (2009). Reviewer: Dietrich Braess (Bochum) MSC: 65F35 65N30 65F10 65N55 PDF BibTeX XML Cite \textit{S. Kim} and \textit{S. D. Kim}, Appl. Numer. Math. 59, No. 2, 316--333 (2009; Zbl 1161.65038) Full Text: DOI
Tapia, Juan J.; López, P. Gilberto Adaptive pseudospectral solution of a diffuse interface model. (English) Zbl 1394.76082 J. Comput. Appl. Math. 224, No. 1, 101-117 (2009). MSC: 76M22 76T99 65N35 PDF BibTeX XML Cite \textit{J. J. Tapia} and \textit{P. G. López}, J. Comput. Appl. Math. 224, No. 1, 101--117 (2009; Zbl 1394.76082) Full Text: DOI
Darvishi, M. T.; Kheybari, S.; Khani, F. Spectral collocation method and Darvishi’s preconditionings to solve the generalized Burgers-Huxley equation. (English) Zbl 1221.65261 Commun. Nonlinear Sci. Numer. Simul. 13, No. 10, 2091-2103 (2008). MSC: 65M70 PDF BibTeX XML Cite \textit{M. T. Darvishi} et al., Commun. Nonlinear Sci. Numer. Simul. 13, No. 10, 2091--2103 (2008; Zbl 1221.65261) Full Text: DOI
Chen, Jing-Bo; Liu, Hong Modal expansion of one-way operators based on spectral differentiation matrix. (English) Zbl 1157.65498 Appl. Math. Comput. 206, No. 1, 193-197 (2008). MSC: 65N35 35L05 PDF BibTeX XML Cite \textit{J.-B. Chen} and \textit{H. Liu}, Appl. Math. Comput. 206, No. 1, 193--197 (2008; Zbl 1157.65498) Full Text: DOI
Akyildiz, F. Talay; Vajravelu, K.; Ozekes, H. Fourier-Galerkin domain truncation method for Stokes’ first problem with Oldroyd four-constant liquid. (English) Zbl 1142.65437 Comput. Math. Appl. 55, No. 11, 2452-2457 (2008). MSC: 65N30 76A05 76M10 76M25 PDF BibTeX XML Cite \textit{F. T. Akyildiz} et al., Comput. Math. Appl. 55, No. 11, 2452--2457 (2008; Zbl 1142.65437) Full Text: DOI
Tajvidi, T.; Razzaghi, M.; Dehghan, M. Modified rational Legendre approach to laminar viscous flow over a semi-infinite flat plate. (English) Zbl 1135.76040 Chaos Solitons Fractals 35, No. 1, 59-66 (2008). MSC: 76M25 76D10 PDF BibTeX XML Cite \textit{T. Tajvidi} et al., Chaos Solitons Fractals 35, No. 1, 59--66 (2008; Zbl 1135.76040) Full Text: DOI
Chen, Jing-Bo; Liu, Hong; Zhou, Deng-Guo A Hamiltonian framework for wavefield depth continuation in seismic imaging. (English) Zbl 1231.74237 Wave Motion 44, No. 5, 385-394 (2007). MSC: 74J25 37M15 86A15 74S30 65P10 74H15 PDF BibTeX XML Cite \textit{J.-B. Chen} et al., Wave Motion 44, No. 5, 385--394 (2007; Zbl 1231.74237) Full Text: DOI
Yee, H. C.; Sjögreen, B. Simulation of Richtmyer-Meshkov instability by sixth-order filter methods. (English) Zbl 1195.76188 Shock Waves 17, No. 3, 185-193 (2007). MSC: 76E17 76L05 76M12 PDF BibTeX XML Cite \textit{H. C. Yee} and \textit{B. Sjögreen}, Shock Waves 17, No. 3, 185--193 (2007; Zbl 1195.76188) Full Text: DOI
Fatone, Lorella; Funaro, Daniele; Scannavini, Valentina Finite-difference preconditioners for superconsistent pseudospectral approximations. (English) Zbl 1133.65103 ESAIM, Math. Model. Numer. Anal. 41, No. 6, 1021-1039 (2007). Reviewer: Wilhelm Heinrichs (Essen) MSC: 65N35 35J25 65F35 65N06 PDF BibTeX XML Cite \textit{L. Fatone} et al., ESAIM, Math. Model. Numer. Anal. 41, No. 6, 1021--1039 (2007; Zbl 1133.65103) Full Text: DOI Numdam EuDML
Bruno, Oscar P.; Han, Youngae; Pohlman, Matthew M. Accurate, high-order representation of complex three-dimensional surfaces via Fourier continuation analysis. (English) Zbl 1128.65017 J. Comput. Phys. 227, No. 2, 1094-1125 (2007). MSC: 65D17 PDF BibTeX XML Cite \textit{O. P. Bruno} et al., J. Comput. Phys. 227, No. 2, 1094--1125 (2007; Zbl 1128.65017) Full Text: DOI
Chen, Jing-Bo A multisymplectic pseudospectral method for seismic modeling. (English) Zbl 1145.86002 Appl. Math. Comput. 186, No. 2, 1612-1616 (2007). MSC: 86A15 65P10 86-08 PDF BibTeX XML Cite \textit{J.-B. Chen}, Appl. Math. Comput. 186, No. 2, 1612--1616 (2007; Zbl 1145.86002) Full Text: DOI
Min, M. S.; Kaber, S. M.; Don, W. S. Fourier-Padé approximations and filtering for spectral simulations of an incompressible Boussinesq convection problem. (English) Zbl 1122.41007 Math. Comput. 76, No. 259, 1275-1290 (2007). Reviewer: Juri M. Rappoport (Moskva) MSC: 41A20 41A21 41A25 PDF BibTeX XML Cite \textit{M. S. Min} et al., Math. Comput. 76, No. 259, 1275--1290 (2007; Zbl 1122.41007) Full Text: DOI
Saadatmandi, Abbas; Dehghan, Mehdi; Campo, Antonio The Legendre-tau technique for the determination of a source parameter in a semilinear parabolic equation. (English) Zbl 1200.65077 Math. Probl. Eng. 2006, No. 3, Article ID 70151, 11 p. (2006). MSC: 65M32 35R30 PDF BibTeX XML Cite \textit{A. Saadatmandi} et al., Math. Probl. Eng. 2006, No. 3, Article ID 70151, 11 p. (2006; Zbl 1200.65077) Full Text: DOI
Dehghan, M.; Saadatmandi, A. A tau method for the one-dimensional parabolic inverse problem subject to temperature overspecification. (English) Zbl 1125.65340 Comput. Math. Appl. 52, No. 6-7, 933-940 (2006). MSC: 65M32 65M70 35R30 35K15 PDF BibTeX XML Cite \textit{M. Dehghan} and \textit{A. Saadatmandi}, Comput. Math. Appl. 52, No. 6--7, 933--940 (2006; Zbl 1125.65340) Full Text: DOI
Darvishi, M. T.; Kheybari, S.; Khani, F. A numerical solution of the Korteweg-de Vries equation by pseudospectral method using Darvishi’s preconditionings. (English) Zbl 1107.65087 Appl. Math. Comput. 182, No. 1, 98-105 (2006). MSC: 65M70 35Q53 PDF BibTeX XML Cite \textit{M. T. Darvishi} et al., Appl. Math. Comput. 182, No. 1, 98--105 (2006; Zbl 1107.65087) Full Text: DOI
Chen, Jing-Bo Symplectic and multisymplectic Fourier pseudospectral discretizations for the Klein-Gordon equation. (English) Zbl 1104.37049 Lett. Math. Phys. 75, No. 3, 293-305 (2006). MSC: 37M15 37K05 65M70 81Q05 35L70 PDF BibTeX XML Cite \textit{J.-B. Chen}, Lett. Math. Phys. 75, No. 3, 293--305 (2006; Zbl 1104.37049) Full Text: DOI
Brevdo, Leonid; Il’ichev, Andrej Uni-modal destabilization of a viscoelastic floating ice layer by wind stress. (English) Zbl 1103.74025 Eur. J. Mech., A, Solids 25, No. 3, 509-525 (2006). MSC: 74F10 74D05 74H55 86A40 PDF BibTeX XML Cite \textit{L. Brevdo} and \textit{A. Il'ichev}, Eur. J. Mech., A, Solids 25, No. 3, 509--525 (2006; Zbl 1103.74025) Full Text: DOI
Min, Mi-Sun; Lee, Tae-Woo; Fischer, Paul F.; Gray, Stephen K. Fourier spectral simulations and Gegenbauer reconstructions for electromagnetic waves in the presence of a metal nanoparticle. (English) Zbl 1099.78005 J. Comput. Phys. 213, No. 2, 730-747 (2006). Reviewer: Tuncay Aktosun (Arlington) MSC: 78A45 65M70 78M25 PDF BibTeX XML Cite \textit{M.-S. Min} et al., J. Comput. Phys. 213, No. 2, 730--747 (2006; Zbl 1099.78005) Full Text: DOI
Chen, Jing-Bo Multisymplectic geometry, local conservation laws and Fourier pseudospectral discretization for the “good” Boussinesq equation. (English) Zbl 1065.65140 Appl. Math. Comput. 161, No. 1, 55-67 (2005). Reviewer: Manuel Calvo (Zaragoza) MSC: 65P10 65M70 35Q53 37K05 37M15 PDF BibTeX XML Cite \textit{J.-B. Chen}, Appl. Math. Comput. 161, No. 1, 55--67 (2005; Zbl 1065.65140) Full Text: DOI
Ismail, I. A.; Ismail, G.; Sedqi, A. M. A computational method for solving the branched channel flow problem. (English) Zbl 1102.76058 Appl. Math. Comput. 161, No. 1, 19-34 (2005). MSC: 76M40 76M22 76D05 PDF BibTeX XML Cite \textit{I. A. Ismail} et al., Appl. Math. Comput. 161, No. 1, 19--34 (2005; Zbl 1102.76058) Full Text: DOI
Izquierdo, J.; Pérez, R.; Iglesias, P. L. Mathematical models and methods in the water industry. (English) Zbl 1093.91051 Math. Comput. Modelling 39, No. 11-12, 1353-1374 (2004). MSC: 91B76 PDF BibTeX XML Cite \textit{J. Izquierdo} et al., Math. Comput. Modelling 39, No. 11--12, 1353--1374 (2004; Zbl 1093.91051) Full Text: DOI
Brevdo, Leonid Neutral stability of, and resonances in, a vertically stratified floating ice layer. (English) Zbl 1107.74305 Eur. J. Mech., A, Solids 22, No. 1, 119-137 (2003). MSC: 74F10 74G60 86A40 PDF BibTeX XML Cite \textit{L. Brevdo}, Eur. J. Mech., A, Solids 22, No. 1, 119--137 (2003; Zbl 1107.74305) Full Text: DOI
Sarra, Scott A. Chebyshev super spectral viscosity method for a fluidized bed model. (English) Zbl 1047.76091 J. Comput. Phys. 186, No. 2, 630-651 (2003). MSC: 76M22 76T20 PDF BibTeX XML Cite \textit{S. A. Sarra}, J. Comput. Phys. 186, No. 2, 630--651 (2003; Zbl 1047.76091) Full Text: DOI
Sloss, B. G.; Blyth, W. F. The computational efficiency of a spectral Walsh function method. (English) Zbl 0995.65105 J. Franklin Inst. 335B, No. 6, 1157-1170 (1998). MSC: 65M70 65Y20 35L45 PDF BibTeX XML Cite \textit{B. G. Sloss} and \textit{W. F. Blyth}, J. Franklin Inst. 335B, No. 6, 1157--1170 (1998; Zbl 0995.65105) Full Text: DOI
Dimitropoulos, Costas D.; Edwards, Brian J.; Chae, Kyung-Sun; Beris, Antony N. Efficient pseudospectral flow simulations in moderately complex geometries. (English) Zbl 0929.76094 J. Comput. Phys. 144, No. 2, 517-549 (1998). Reviewer: W.Heinrichs (Essen) MSC: 76M22 76D05 PDF BibTeX XML Cite \textit{C. D. Dimitropoulos} et al., J. Comput. Phys. 144, No. 2, 517--549 (1998; Zbl 0929.76094) Full Text: DOI
Gelb, Anne; Gottlieb, David; Paldor, Nathan Wind set-down relaxation on a sloping beach. (English) Zbl 0902.76078 J. Comput. Phys. 138, No. 2, 644-664 (1997). MSC: 76M25 76M20 65M70 76B15 86A05 PDF BibTeX XML Cite \textit{A. Gelb} et al., J. Comput. Phys. 138, No. 2, 644--664 (1997; Zbl 0902.76078) Full Text: DOI
Elnagar, Gamal N. State-control spectral Chebyshev parameterization for linearly constrained quadratic optimal control problems. (English) Zbl 0871.65054 J. Comput. Appl. Math. 79, No. 1, 19-40 (1997). Reviewer: H.Benker (Merseburg) MSC: 65K10 49M37 49K15 PDF BibTeX XML Cite \textit{G. N. Elnagar}, J. Comput. Appl. Math. 79, No. 1, 19--40 (1997; Zbl 0871.65054) Full Text: DOI
Brevdo, L. On the stability of Lamb modes. (English) Zbl 0873.73021 Acta Mech. 117, No. 1-4, 71-80 (1996). Reviewer: P.P.Teodorescu (Bucureşti) MSC: 74J10 74G99 74H99 86A15 PDF BibTeX XML Cite \textit{L. Brevdo}, Acta Mech. 117, No. 1--4, 71--80 (1996; Zbl 0873.73021) Full Text: DOI
Souvaliotis, Athanassios; Beris, Antony N. Spectral collocation/domain decomposition method for viscoelastic flow simulations in model porous geometries. (English) Zbl 0866.76071 Comput. Methods Appl. Mech. Eng. 129, No. 1-2, 9-28 (1996). MSC: 76M25 76A10 76S05 65N35 PDF BibTeX XML Cite \textit{A. Souvaliotis} and \textit{A. N. Beris}, Comput. Methods Appl. Mech. Eng. 129, No. 1--2, 9--28 (1996; Zbl 0866.76071) Full Text: DOI
Dettori, Lucia; Yang, Baolin On the Chebyshev penalty method for parabolic and hyperbolic equations. (English) Zbl 0861.65086 RAIRO, Modélisation Math. Anal. Numér. 30, No. 7, 907-920 (1996). Reviewer: K.Zlateva (Russe) MSC: 65M70 65M12 35K15 35L15 PDF BibTeX XML Cite \textit{L. Dettori} and \textit{B. Yang}, RAIRO, Modélisation Math. Anal. Numér. 30, No. 7, 907--920 (1996; Zbl 0861.65086) Full Text: DOI EuDML
Dempsey, K. M.; Gladwell, I. Numerical instability in the breathing-mode dynamics of elastic rings. (English) Zbl 0853.73072 Appl. Numer. Math. 20, No. 1-2, 211-220 (1996). MSC: 74S20 74H45 PDF BibTeX XML Cite \textit{K. M. Dempsey} and \textit{I. Gladwell}, Appl. Numer. Math. 20, No. 1--2, 211--220 (1996; Zbl 0853.73072) Full Text: DOI
de Fainchtein, Rosalinda; Zalesak, Steven T.; Löhner, Rainald; Spicer, Daniel S. Finite element simulation of a turbulent MHD system: Comparison to a pseudo-spectral simulation. (English) Zbl 0880.76041 Comput. Phys. Commun. 86, No. 1-2, 25-39 (1995). MSC: 76M10 76W05 76F10 PDF BibTeX XML Cite \textit{R. de Fainchtein} et al., Comput. Phys. Commun. 86, No. 1--2, 25--39 (1995; Zbl 0880.76041) Full Text: DOI
Kuria, Isaac M.; Raad, Peter E. An implicit multidomain spectral collocation method for stiff highly nonlinear fluid dynamics problems. (English) Zbl 0851.76066 Comput. Methods Appl. Mech. Eng. 120, No. 1-2, 163-182 (1995). MSC: 76M25 76D08 PDF BibTeX XML Cite \textit{I. M. Kuria} and \textit{P. E. Raad}, Comput. Methods Appl. Mech. Eng. 120, No. 1--2, 163--182 (1995; Zbl 0851.76066) Full Text: DOI
Pruett, C. David; Chang, Chau-Lyan Spatial direct numerical simulation of high-speed boundary-layer flows. II: Transition on a cone in Mach 8 flow. (English) Zbl 0855.76055 Theor. Comput. Fluid Dyn. 7, No. 5, 397-424 (1995). MSC: 76M25 76E05 76N20 PDF BibTeX XML Cite \textit{C. D. Pruett} and \textit{C.-L. Chang}, Theor. Comput. Fluid Dyn. 7, No. 5, 397--424 (1995; Zbl 0855.76055) Full Text: DOI
Elnagar, Gamal N.; Kazemi, M. A. A cell-averaging Chebyshev spectral method for the controlled Duffing oscillator. (English) Zbl 0840.65060 Appl. Numer. Math. 18, No. 4, 461-471 (1995). Reviewer: G.S.Stavrakakis (Chania) MSC: 65K10 49J15 49M37 PDF BibTeX XML Cite \textit{G. N. Elnagar} and \textit{M. A. Kazemi}, Appl. Numer. Math. 18, No. 4, 461--471 (1995; Zbl 0840.65060) Full Text: DOI
Theofilis, Vassilios Spatial stability of incompressible attachment-line flow. (English) Zbl 0821.76033 Theor. Comput. Fluid Dyn. 7, No. 3, 159-171 (1995). Reviewer: H.Kuhlmann (Bremen) MSC: 76E99 76D10 76M25 PDF BibTeX XML Cite \textit{V. Theofilis}, Theor. Comput. Fluid Dyn. 7, No. 3, 159--171 (1995; Zbl 0821.76033) Full Text: DOI
Razzaghi, Mohsen; Elnagar, Gamal Numerical solution of the controlled Duffing oscillator by the pseudospectral method. (English) Zbl 0827.65074 J. Comput. Appl. Math. 56, No. 3, 253-261 (1994). Reviewer: M.Gousidou-Koutita (Thessaloniki) MSC: 65K10 93C15 PDF BibTeX XML Cite \textit{M. Razzaghi} and \textit{G. Elnagar}, J. Comput. Appl. Math. 56, No. 3, 253--261 (1994; Zbl 0827.65074) Full Text: DOI
Welfert, Bruno D. On the eigenvalues of second-order pseudospectral differentiation operators. (English) Zbl 0824.65083 Comput. Methods Appl. Mech. Eng. 116, 281-292 (1994). Reviewer: M.Bartušek (Brno) MSC: 65L60 34B05 65L15 34L15 PDF BibTeX XML Cite \textit{B. D. Welfert}, Comput. Methods Appl. Mech. Eng. 116, No. 1--4, 281--292 (1994; Zbl 0824.65083) Full Text: DOI
Marion, Martine On the stability of collocation methods for the two-dimensional Burgers equation: The Fourier case. (English) Zbl 0846.65052 J. Sci. Comput. 9, No. 4, 405-417 (1994). Reviewer: R.Anguelov (Welkom) MSC: 65M70 65M12 35Q53 PDF BibTeX XML Cite \textit{M. Marion}, J. Sci. Comput. 9, No. 4, 405--417 (1994; Zbl 0846.65052) Full Text: DOI
Godon, Patrick; Shaviv, Giora A two-dimensional time dependent Chebyshev method of collocation for the study of astrophysical flows. (English) Zbl 0844.76072 Comput. Methods Appl. Mech. Eng. 110, No. 1-2, 171-194 (1993). MSC: 76M25 76N10 85A30 PDF BibTeX XML Cite \textit{P. Godon} and \textit{G. Shaviv}, Comput. Methods Appl. Mech. Eng. 110, No. 1--2, 171--194 (1993; Zbl 0844.76072) Full Text: DOI
Mavrantzas, V. G.; Souvaliotis, A.; Beris, A. N. Pseudospectral calculations of stress-induced concentration changes in viscometric flows of polymer solutions. (English) Zbl 0783.76077 Theor. Comput. Fluid Dyn. 5, No. 1, 3-31 (1993). MSC: 76M25 76A05 76A10 65N35 PDF BibTeX XML Cite \textit{V. G. Mavrantzas} et al., Theor. Comput. Fluid Dyn. 5, No. 1, 3--31 (1993; Zbl 0783.76077) Full Text: DOI
Gottlieb, David; Temam, Roger Implementation of the nonlinear Galerkin method with pseudospectral (collocation) discretizations. (English) Zbl 0782.65122 Appl. Numer. Math. 12, No. 1-3, 119-134 (1993). Reviewer: K.Finck von Finckenstein (Darmstadt) MSC: 65M60 65M70 35K05 35Q53 PDF BibTeX XML Cite \textit{D. Gottlieb} and \textit{R. Temam}, Appl. Numer. Math. 12, No. 1--3, 119--134 (1993; Zbl 0782.65122) Full Text: DOI
Pilitsis, Stergios; Beris, Antony N. Pseudospectral calculations of viscoelastic flow in a periodically constricted tube. (English) Zbl 0825.76612 Comput. Methods Appl. Mech. Eng. 98, No. 3, 307-328 (1992). MSC: 76M25 76A10 65M70 PDF BibTeX XML Cite \textit{S. Pilitsis} and \textit{A. N. Beris}, Comput. Methods Appl. Mech. Eng. 98, No. 3, 307--328 (1992; Zbl 0825.76612) Full Text: DOI
Cloot, A.; Weideman, J. A. C. An adaptive algorithm for spectral computations on unbounded domains. (English) Zbl 0760.65095 J. Comput. Phys. 102, No. 2, 398-406 (1992). Reviewer: Qin Mengzhao (Beijing) MSC: 65M70 65M50 35G10 35K25 PDF BibTeX XML Cite \textit{A. Cloot} and \textit{J. A. C. Weideman}, J. Comput. Phys. 102, No. 2, 398--406 (1992; Zbl 0760.65095) Full Text: DOI
Schoombie, S. W. A discrete multiple scales analysis of a discrete version of the Korteweg-de Vries equation. (English) Zbl 0764.65078 J. Comput. Phys. 101, No. 1, 55-70 (1992). Reviewer: V.P.Tyagi (Bombay) MSC: 65Z05 65M06 35Q53 PDF BibTeX XML Cite \textit{S. W. Schoombie}, J. Comput. Phys. 101, No. 1, 55--70 (1992; Zbl 0764.65078) Full Text: DOI
Solomonoff, Alex A fast algorithm for spectral differentiation. (English) Zbl 0747.65011 J. Comput. Phys. 98, No. 1, 174-177 (1992). Reviewer: P.Y.Yalamov (Russe) MSC: 65D25 PDF BibTeX XML Cite \textit{A. Solomonoff}, J. Comput. Phys. 98, No. 1, 174--177 (1992; Zbl 0747.65011) Full Text: DOI
Boyd, John P. The arctan/tan and Kepler-Burgers mappings for periodic solutions with a shock, front, or internal boundary layer. (English) Zbl 0760.65106 J. Comput. Phys. 98, No. 2, 181-193 (1992). Reviewer: R.Farzan (Budapest) MSC: 65Z05 65M70 35Q53 76L05 PDF BibTeX XML Cite \textit{J. P. Boyd}, J. Comput. Phys. 98, No. 2, 181--193 (1992; Zbl 0760.65106) Full Text: DOI
Breuer, Kenneth S.; Everson, Richard M. On the errors incurred calculating derivatives using Chebyshev polynomials. (English) Zbl 0747.65009 J. Comput. Phys. 99, No. 1, 56-67 (1992). Reviewer: P.Y.Yalamov (Russe) MSC: 65D25 65F30 65G50 PDF BibTeX XML Cite \textit{K. S. Breuer} and \textit{R. M. Everson}, J. Comput. Phys. 99, No. 1, 56--67 (1992; Zbl 0747.65009) Full Text: DOI
Weidemann, J. A. C. The eigenvalues of Hermite and rational spectral differentiation matrices. (English) Zbl 0741.65078 Numer. Math. 61, No. 3, 409-432 (1992). MSC: 65M70 15A18 65N25 65D25 65F15 42C10 PDF BibTeX XML Cite \textit{J. A. C. Weidemann}, Numer. Math. 61, No. 3, 409--432 (1992; Zbl 0741.65078) Full Text: DOI EuDML
Schumack, Mark R.; Schultz, William W.; Boyd, John P. Spectral method solution of the Stokes equations on nonstaggered grids. (English) Zbl 0721.76057 J. Comput. Phys. 94, No. 1, 30-58 (1991). MSC: 76M25 76D07 PDF BibTeX XML Cite \textit{M. R. Schumack} et al., J. Comput. Phys. 94, No. 1, 30--58 (1991; Zbl 0721.76057) Full Text: DOI
Brevdo, Leonid Three-dimensional absolute and convective instabilities, and spatially amplifying waves in parallel shear flows. (English) Zbl 0743.76033 Z. Angew. Math. Phys. 42, No. 6, 911-942 (1991). MSC: 76E15 PDF BibTeX XML Cite \textit{L. Brevdo}, Z. Angew. Math. Phys. 42, No. 6, 911--942 (1991; Zbl 0743.76033) Full Text: DOI
Weideman, J. A. C.; Cloot, A. Spectral methods and mappings for evolution equations on the infinite line. (English) Zbl 0732.65095 Comput. Methods Appl. Mech. Eng. 80, No. 1-3, 467-481 (1990). Reviewer: V.P.Tyagi (Bombay) MSC: 65M70 65M12 35G10 35K25 PDF BibTeX XML Cite \textit{J. A. C. Weideman} and \textit{A. Cloot}, Comput. Methods Appl. Mech. Eng. 80, No. 1--3, 467--481 (1990; Zbl 0732.65095) Full Text: DOI
Wasberg, Carl Erik; Andreassen, Øyvind Pseudospectral methods with open boundary conditions for the study of atmospheric wave phenomena. (English) Zbl 0722.76058 Comput. Methods Appl. Mech. Eng. 80, No. 1-3, 459-465 (1990). MSC: 76M25 76B60 86A10 PDF BibTeX XML Cite \textit{C. E. Wasberg} and \textit{Ø. Andreassen}, Comput. Methods Appl. Mech. Eng. 80, No. 1--3, 459--465 (1990; Zbl 0722.76058) Full Text: DOI
Jacobs, S. J. A pseudospectral method for two-point boundary value problems. (English) Zbl 0703.65040 J. Comput. Phys. 88, No. 1, 169-182 (1990). Reviewer: P.Chocholatý MSC: 65L10 65L60 86A10 86A05 34-04 34B15 PDF BibTeX XML Cite \textit{S. J. Jacobs}, J. Comput. Phys. 88, No. 1, 169--182 (1990; Zbl 0703.65040) Full Text: DOI
Domaradzki, J. Andrzej An analytic Green’s functions method in pseudo-spectral Navier-Stokes solvers for boundary layer and channel flows. (English) Zbl 0697.76035 J. Comput. Phys. 88, No. 1, 232-242 (1990). MSC: 76D05 76M99 PDF BibTeX XML Cite \textit{J. A. Domaradzki}, J. Comput. Phys. 88, No. 1, 232--242 (1990; Zbl 0697.76035) Full Text: DOI
Malik, M. R. Numerical methods for hypersonic boundary layer stability. (English) Zbl 0682.76043 J. Comput. Phys. 86, No. 2, 376-413 (1990). MSC: 76K05 76E99 76M99 76N20 PDF BibTeX XML Cite \textit{M. R. Malik}, J. Comput. Phys. 86, No. 2, 376--413 (1990; Zbl 0682.76043) Full Text: DOI
Panchang, V. G.; Kopriva, D. A. Solution of two-dimensional water-wave propagation problems by Chebyshev collocation. (English) Zbl 0692.76005 Math. Comput. Modelling 12, No. 6, 625-640 (1989). MSC: 76B15 35Q30 PDF BibTeX XML Cite \textit{V. G. Panchang} and \textit{D. A. Kopriva}, Math. Comput. Modelling 12, No. 6, 625--640 (1989; Zbl 0692.76005) Full Text: DOI
Liu, Baichen; Beris, Antony N. The stability of numerical approximations to nonlinear hyperbolic equations. (English) Zbl 0687.76004 Comput. Methods Appl. Mech. Eng. 76, No. 2, 179-204 (1989). MSC: 76A10 65N30 76M99 PDF BibTeX XML Cite \textit{B. Liu} and \textit{A. N. Beris}, Comput. Methods Appl. Mech. Eng. 76, No. 2, 179--204 (1989; Zbl 0687.76004) Full Text: DOI
Chan, Tony F.; Goovaerts, Danny Schur complement domain decomposition algorithms for spectral methods. (English) Zbl 0687.65106 Appl. Numer. Math. 6, No. 1-2, 53-64 (1989). Reviewer: W.Heinrichs MSC: 65N35 65F10 35J05 65Y05 65F35 PDF BibTeX XML Cite \textit{T. F. Chan} and \textit{D. Goovaerts}, Appl. Numer. Math. 6, No. 1--2, 53--64 (1989; Zbl 0687.65106) Full Text: DOI
de Frutos, J.; Sanz-Serna, J. M. Split-step spectral schemes for nonlinear Dirac systems. (English) Zbl 0675.65131 J. Comput. Phys. 83, No. 2, 407-423 (1989). Reviewer: P.K.Mahanti MSC: 65Z05 65N12 35Q99 81Q05 PDF BibTeX XML Cite \textit{J. de Frutos} and \textit{J. M. Sanz-Serna}, J. Comput. Phys. 83, No. 2, 407--423 (1989; Zbl 0675.65131) Full Text: DOI
Hussaini, M. Y.; Kopriva, D. A.; Patera, A. T. Spectral collocation methods. (English) Zbl 0671.65093 Appl. Numer. Math. 5, No. 3, 177-208 (1989). Reviewer: G.Hedstrom MSC: 65N35 65-02 35G30 PDF BibTeX XML Cite \textit{M. Y. Hussaini} et al., Appl. Numer. Math. 5, No. 3, 177--208 (1989; Zbl 0671.65093) Full Text: DOI
Khorrami, Mehdi R.; Malik, Mujeeb R.; Ash, Robert L. Application of spectral collocation techniques to the stability of swirling flows. (English) Zbl 0662.76057 J. Comput. Phys. 81, No. 1, 206-229 (1989). MSC: 76E17 76E99 65N35 PDF BibTeX XML Cite \textit{M. R. Khorrami} et al., J. Comput. Phys. 81, No. 1, 206--229 (1989; Zbl 0662.76057) Full Text: DOI
Maday, Yvon; Muñoz, Rafael Spectral element multigrid. II: Theoretical justification. (English) Zbl 0695.65058 J. Sci. Comput. 3, No. 4, 323-353 (1988). MSC: 65L10 65L60 65F10 65F35 34B05 PDF BibTeX XML Cite \textit{Y. Maday} and \textit{R. Muñoz}, J. Sci. Comput. 3, No. 4, 323--353 (1988; Zbl 0695.65058) Full Text: DOI
Bisseling, R. H.; Kosloff, R. Optimal choice of grid points in multidimensional pseudospectral Fourier methods. (English) Zbl 0646.65079 J. Comput. Phys. 76, No. 2, 243-262 (1988). Reviewer: J.D.P.Donnelly MSC: 65N35 65Z05 35J05 65N50 81Q05 PDF BibTeX XML Cite \textit{R. H. Bisseling} and \textit{R. Kosloff}, J. Comput. Phys. 76, No. 2, 243--262 (1988; Zbl 0646.65079) Full Text: DOI
Karageorghis, Andreas Chebyshev spectral methods for solving two-point boundary value problems arising in heat transfer. (English) Zbl 0636.65083 Comput. Methods Appl. Mech. Eng. 70, No. 1, 103-121 (1988). Reviewer: A.Karageorghis MSC: 65L10 34B15 34L99 65L60 PDF BibTeX XML Cite \textit{A. Karageorghis}, Comput. Methods Appl. Mech. Eng. 70, No. 1, 103--121 (1988; Zbl 0636.65083) Full Text: DOI
Kopriva, David A. A practical assessment of spectral accuracy for hyperbolic problems with discontinuities. (English) Zbl 0666.65080 J. Sci. Comput. 2, No. 3, 249-262 (1987). MSC: 65N35 35L50 PDF BibTeX XML Cite \textit{D. A. Kopriva}, J. Sci. Comput. 2, No. 3, 249--262 (1987; Zbl 0666.65080) Full Text: DOI
If, F.; Berg, P.; Christiansen, P. L.; Skovgaard, O. Split-step spectral method for nonlinear Schrödinger equation with abosorbing boundaries. (English) Zbl 0631.65129 J. Comput. Phys. 72, 501-503 (1987). Reviewer: S.K.Rangarajan MSC: 65Z05 65N35 81Q05 35Q99 PDF BibTeX XML Cite \textit{F. If} et al., J. Comput. Phys. 72, 501--503 (1987; Zbl 0631.65129) Full Text: DOI
Canuto, Claudio; Quarteroni, Alfio On the boundary treatment in spectral methods for hyperbolic systems. (English) Zbl 0626.65123 J. Comput. Phys. 71, 100-110 (1987). Reviewer: G.Stoyan MSC: 65N35 76N15 PDF BibTeX XML Cite \textit{C. Canuto} and \textit{A. Quarteroni}, J. Comput. Phys. 71, 100--110 (1987; Zbl 0626.65123) Full Text: DOI
Ku, Hwar C.; Taylor, Thomas D.; Hirsh, Richard S. Pseudospectral methods for solution of the incompressible Navier-Stokes equations. (English) Zbl 0622.76028 Comput. Fluids 15, 195-214 (1987). Reviewer: W.Velte MSC: 76D05 65N99 76M99 PDF BibTeX XML Cite \textit{H. C. Ku} et al., Comput. Fluids 15, 195--214 (1987; Zbl 0622.76028) Full Text: DOI
Orszag, Steven A.; Israeli, Moshe; Deville, Michel O. Boundary conditions for incompressible flows. (English) Zbl 0648.76023 J. Sci. Comput. 1, No. 1, 75-111 (1986). MSC: 76D10 PDF BibTeX XML Cite \textit{S. A. Orszag} et al., J. Sci. Comput. 1, No. 1, 75--111 (1986; Zbl 0648.76023) Full Text: DOI
Ortiz, E. L.; Pun, K.-S. A bidimensional tau-elements method for the numerical solution of nonlinear partial differential equations with an application to Burgers’ equation. (English) Zbl 0631.65120 Comput. Math. Appl., Part B 12, 1225-1240 (1986). Reviewer: Z.Dżygadło MSC: 65Z05 65N30 35Q99 PDF BibTeX XML Cite \textit{E. L. Ortiz} and \textit{K. S. Pun}, Comput. Math. Appl., Part B 12, 1225--1240 (1986; Zbl 0631.65120)
Kopriva, David A. A spectral multidomain method for the solution of hyperbolic systems. (English) Zbl 0601.76087 Appl. Numer. Math. 2, 221-241 (1986). MSC: 76N15 76M99 65N35 PDF BibTeX XML Cite \textit{D. A. Kopriva}, Appl. Numer. Math. 2, 221--241 (1986; Zbl 0601.76087) Full Text: DOI