Chen, Q.-Y.; Gottlieb, D.; Hesthaven, J. S. Spectral methods based on prolate spheroidal wave functions for hyperbolic PDEs. (English) Zbl 1101.65100 SIAM J. Numer. Anal. 43, No. 5, 1912-1933 (2005). MSC: 65M70 35L45 PDFBibTeX XMLCite \textit{Q. Y. Chen} et al., SIAM J. Numer. Anal. 43, No. 5, 1912--1933 (2005; Zbl 1101.65100) Full Text: DOI
Min, M. S.; Gottlieb, D. Domain decomposition spectral approximations for an eigenvalue problem with a piecewise constant coefficient. (English) Zbl 1090.41002 SIAM J. Numer. Anal. 43, No. 2, 502-520 (2005). Reviewer: Josef Kofroň (Praha) MSC: 41A10 41A25 65N25 65N30 65N35 65N55 PDFBibTeX XMLCite \textit{M. S. Min} and \textit{D. Gottlieb}, SIAM J. Numer. Anal. 43, No. 2, 502--520 (2005; Zbl 1090.41002) Full Text: DOI
Yosibash, Z.; Kirby, R. M.; Gottlieb, D. Collocation methods for the solution of von-Kármán dynamic nonlinear plate systems. (English) Zbl 1115.74344 J. Comput. Phys. 200, No. 2, 432-461 (2004). MSC: 74K20 65M70 74H15 PDFBibTeX XMLCite \textit{Z. Yosibash} et al., J. Comput. Phys. 200, No. 2, 432--461 (2004; Zbl 1115.74344) Full Text: DOI
Don, Wai-Sun; Gottlieb, David; Jung, Jae-Hun A multidomain spectral method for supersonic reactive flows. (English) Zbl 1047.76088 J. Comput. Phys. 192, No. 1, 325-354 (2003). MSC: 76M22 76V05 76J20 PDFBibTeX XMLCite \textit{W.-S. Don} et al., J. Comput. Phys. 192, No. 1, 325--354 (2003; Zbl 1047.76088) Full Text: DOI Link
Carpenter, Mark H.; Gottlieb, David; Shu, Chi-Wang On the conservation and convergence to weak solutions of global schemes. (English) Zbl 1030.65097 J. Sci. Comput. 18, No. 1, 111-132 (2003). Reviewer: Erwin Schechter (Kaiserslautern) MSC: 65M12 65M06 65M70 35L65 PDFBibTeX XMLCite \textit{M. H. Carpenter} et al., J. Sci. Comput. 18, No. 1, 111--132 (2003; Zbl 1030.65097) Full Text: DOI
Gottlieb, D.; Hesthaven, J. S. Spectral methods for hyperbolic problems. (English) Zbl 0974.65093 J. Comput. Appl. Math. 128, No. 1-2, 83-131 (2001). Reviewer: Plamen Yordanov Yalamov (Russe) MSC: 65M70 35L65 65M12 PDFBibTeX XMLCite \textit{D. Gottlieb} and \textit{J. S. Hesthaven}, J. Comput. Appl. Math. 128, No. 1--2, 83--131 (2001; Zbl 0974.65093) Full Text: DOI
Don, Wai Sun; Gottlieb, David Spectral simulation of supersonic reactive flows. (English) Zbl 0932.76061 SIAM J. Numer. Anal. 35, No. 6, 2370-2384 (1998). Reviewer: W.Heinrichs (Essen) MSC: 76M22 76V05 76J20 80A25 80A32 PDFBibTeX XMLCite \textit{W. S. Don} and \textit{D. Gottlieb}, SIAM J. Numer. Anal. 35, No. 6, 2370--2384 (1998; Zbl 0932.76061) 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 PDFBibTeX XMLCite \textit{A. Gelb} et al., J. Comput. Phys. 138, No. 2, 644--664 (1997; Zbl 0902.76078) Full Text: DOI
Gottlieb, David; Shu, Chi-Wang On the Gibbs phenomenon and its resolution. (English) Zbl 0885.42003 SIAM Rev. 39, No. 4, 644-668 (1997). MSC: 42A15 41A05 41A25 PDFBibTeX XMLCite \textit{D. Gottlieb} and \textit{C.-W. Shu}, SIAM Rev. 39, No. 4, 644--668 (1997; Zbl 0885.42003) Full Text: DOI
Hesthaven, J. S.; Gottlieb, D. A stable penalty method for the compressible Navier-Stokes equations. I: Open boundary conditions. (English) Zbl 0853.76061 SIAM J. Sci. Comput. 17, No. 3, 579-612 (1996). MSC: 76M25 76N10 65M12 35B35 35Q30 PDFBibTeX XMLCite \textit{J. S. Hesthaven} and \textit{D. Gottlieb}, SIAM J. Sci. Comput. 17, No. 3, 579--612 (1996; Zbl 0853.76061) Full Text: DOI
Don, Wai Sun; Gottlieb, David The Chebyshev-Legendre method: Implementing Legendre methods on Chebyshev points. (English) Zbl 0815.65106 SIAM J. Numer. Anal. 31, No. 6, 1519-1534 (1994). Reviewer: K.Najzar (Praha) MSC: 65M70 65M12 35K05 PDFBibTeX XMLCite \textit{W. S. Don} and \textit{D. Gottlieb}, SIAM J. Numer. Anal. 31, No. 6, 1519--1534 (1994; Zbl 0815.65106) Full Text: DOI
Carpenter, Mark H.; Gottlieb, David; Abarbanel, Saul Time-stable boundary conditions for finite-difference schemes solving hyperbolic systems: Methodology and application to high-order compact schemes. (English) Zbl 0832.65098 J. Comput. Phys. 111, No. 2, 220-236 (1994). Reviewer: L.G.Vulkov (Russe) MSC: 65M06 65M70 65M12 35L45 PDFBibTeX XMLCite \textit{M. H. Carpenter} et al., J. Comput. Phys. 111, No. 2, 220--236 (1994; Zbl 0832.65098) Full Text: DOI Link
Cai, Wei; Gottlieb, David; Harten, Ami Cell averaging Chebyshev methods for hyperbolic problems. (English) Zbl 0764.65056 Comput. Math. Appl. 24, No. 5-6, 37-49 (1992). Reviewer: L.G.Vulkov (Russe) MSC: 65M70 65M12 35L15 35L70 35L67 PDFBibTeX XMLCite \textit{W. Cai} et al., Comput. Math. Appl. 24, No. 5--6, 37--49 (1992; Zbl 0764.65056) Full Text: DOI
Abarbanel, Saul S.; Don, Wai Sun; Gottlieb, David; Rudy, David H.; Townsend, James C. Secondary frequencies in the wake of a circular cylinder with vortex shedding. (English) Zbl 0721.76069 J. Fluid Mech. 225, 557-574 (1991). MSC: 76N20 76M10 PDFBibTeX XMLCite \textit{S. S. Abarbanel} et al., J. Fluid Mech. 225, 557--574 (1991; Zbl 0721.76069) Full Text: DOI
Gottlieb, D.; Streett, C. L. Quadrature imposition of compatibility conditions in Chebyshev methods. (English) Zbl 0725.76060 J. Sci. Comput. 5, No. 3, 223-239 (1990). MSC: 76M20 76D05 PDFBibTeX XMLCite \textit{D. Gottlieb} and \textit{C. L. Streett}, J. Sci. Comput. 5, No. 3, 223--239 (1990; Zbl 0725.76060) Full Text: DOI
Don, Wai-Sun; Gottlieb, David Spectral simulations of an unsteady compressible flow past a circular cylinder. (English) Zbl 0722.76047 Comput. Methods Appl. Mech. Eng. 80, No. 1-3, 39-58 (1990). MSC: 76M25 76N10 PDFBibTeX XMLCite \textit{W.-S. Don} and \textit{D. Gottlieb}, Comput. Methods Appl. Mech. Eng. 80, No. 1--3, 39--58 (1990; Zbl 0722.76047) Full Text: DOI
Bayliss, A.; Gottlieb, D.; Matkowsky, B. J.; Minkoff, M. An adaptive pseudo-spectral method for reaction diffusion problems. (English) Zbl 0668.65092 J. Comput. Phys. 81, No. 2, 421-443 (1989). Reviewer: J.Vaníček MSC: 65N35 65N30 35K57 80A25 PDFBibTeX XMLCite \textit{A. Bayliss} et al., J. Comput. Phys. 81, No. 2, 421--443 (1989; Zbl 0668.65092) Full Text: DOI Link
Cai, Wei; Gottlieb, David; Shu, Chi-Wang Essentially nonoscillatory spectral Fourier methods for shock wave calculations. (English) Zbl 0666.65067 Math. Comput. 52, No. 186, 389-410 (1989). Reviewer: V.Subba Rao MSC: 65M60 65T40 42A10 35L67 35L65 65D15 35Q99 PDFBibTeX XMLCite \textit{W. Cai} et al., Math. Comput. 52, No. 186, 389--410 (1989; Zbl 0666.65067) Full Text: DOI
Gottlieb, David; Lustman, Liviu; Tadmor, Eitan Stability analysis of spectral methods for hyperbolic initial-boundary value systems. (English) Zbl 0755.65099 Méthodes spectrales, Expo. Rencontre, Rocquencourt/Fr. 1986, Collect. Dir. Étud. Rech. Électr. Fr. 68, 63-92 (1988). MSC: 65M70 65M12 35L45 PDFBibTeX XMLCite \textit{D. Gottlieb} et al., in: Méthodes spectrales. École d'été sur les problèmes non linéaires appliqués, CEA-EDF-INRIA. Exposés présentés à la rencontre consacrée aux méthodes spectrales, Rocquencourt, France, du 27-30 janvier, 1986. Préface de Robert Dautray. Paris: Éditions Eyrolles. 63--92 (1988; Zbl 0755.65099)
Gottlieb, David; Lustman, Liviu; Tadmor, Eitan Convergence of spectral methods for hyperbolic initial-boundary value systems. (English) Zbl 0755.65098 Méthodes spectrales, Expo. Rencontre, Rocquencourt/Fr. 1986, Collect. Dir. Étud. Rech. Électr. Fr. 68, 51-62 (1988). MSC: 65M70 65M12 35L45 PDFBibTeX XMLCite \textit{D. Gottlieb} et al., in: Méthodes spectrales. École d'été sur les problèmes non linéaires appliqués, CEA-EDF-INRIA. Exposés présentés à la rencontre consacrée aux méthodes spectrales, Rocquencourt, France, du 27-30 janvier, 1986. Préface de Robert Dautray. Paris: Éditions Eyrolles. 51--62 (1988; Zbl 0755.65098)
Funaro, D.; Gottlieb, D. A new method of imposing boundary conditions in pseudospectral approximations of hyperbolic equations. (English) Zbl 0699.65079 Math. Comput. 51, No. 184, 599-613 (1988). MSC: 65N35 35L20 PDFBibTeX XMLCite \textit{D. Funaro} and \textit{D. Gottlieb}, Math. Comput. 51, No. 184, 599--613 (1988; Zbl 0699.65079) Full Text: DOI
Gottlieb, David; Lustman, Liviu; Tadmor, Eitan Stability analysis of spectral methods for hyperbolic initial-boundary value systems. (English) Zbl 0628.65109 SIAM J. Numer. Anal. 24, 241-256 (1987). Reviewer: R.Iino MSC: 65N35 35L50 PDFBibTeX XMLCite \textit{D. Gottlieb} et al., SIAM J. Numer. Anal. 24, 241--256 (1987; Zbl 0628.65109) Full Text: DOI Link
Gottlieb, David; Lustman, Liviu; Streett, Craig Spectral methods for two-dimensional shocks. (English) Zbl 0567.76068 Spectral methods for partial differential equations, Proc. Symp., NASA Langley Res. Cent. 1982, 79-95 (1984). MSC: 76N15 76L05 76M99 PDFBibTeX XML
Gottlieb, David; Lustman, Liviu The spectrum of the Chebyshev collocation operator for the heat equation. (English) Zbl 0537.65085 SIAM J. Numer. Anal. 20, 909-921 (1983). Reviewer: L.Boubelíková MSC: 65N35 35K05 PDFBibTeX XMLCite \textit{D. Gottlieb} and \textit{L. Lustman}, SIAM J. Numer. Anal. 20, 909--921 (1983; Zbl 0537.65085) Full Text: DOI
Gottlieb, David; Lustman, Liviu The DuFort-Frankel Chebyshev method for parabolic initial boundary value problems. (English) Zbl 0511.76003 Comput. Fluids 11, 107-120 (1983). MSC: 76M99 35G10 35K25 PDFBibTeX XMLCite \textit{D. Gottlieb} and \textit{L. Lustman}, Comput. Fluids 11, 107--120 (1983; Zbl 0511.76003) Full Text: DOI
Gottlieb, D.; Lustman, L.; Orszag, S. A. Spectral computations of one dimensional inviscid compressible flows. (English) Zbl 0561.76076 SIAM J. Sci. Stat. Comput. 2, 296-310 (1981). Reviewer: M.Thompson MSC: 76N10 76M99 65N35 35L65 PDFBibTeX XMLCite \textit{D. Gottlieb} et al., SIAM J. Sci. Stat. Comput. 2, 296--310 (1981; Zbl 0561.76076) Full Text: DOI
Gottlieb, David The stability of pseudospectral-Chebyshev methods. (English) Zbl 0469.65076 Math. Comput. 36, 107-118 (1981). MSC: 65N35 35G10 35K25 35L50 PDFBibTeX XMLCite \textit{D. Gottlieb}, Math. Comput. 36, 107--118 (1981; Zbl 0469.65076) Full Text: DOI
Gottlieb, David; Turkel, Eli On time discretizations for spectral methods. (English) Zbl 0453.65059 Stud. Appl. Math. 63, 67-86 (1980). MSC: 65M20 35L70 76B15 65L05 PDFBibTeX XMLCite \textit{D. Gottlieb} and \textit{E. Turkel}, Stud. Appl. Math. 63, 67--86 (1980; Zbl 0453.65059) Full Text: DOI