Don, Wai-Sun; Gottlieb, David; Jung, Jae-Hun A weighted multi-domain spectral penalty method with inhomogeneous grid for supersonic injective cavity flows. (English) Zbl 1364.76146 Commun. Comput. Phys. 5, No. 5, 986-1011 (2009). MSC: 76M22 65M70 76J20 PDFBibTeX XMLCite \textit{W.-S. Don} et al., Commun. Comput. Phys. 5, No. 5, 986--1011 (2009; Zbl 1364.76146)
Hesthaven, Jan S.; Gottlieb, Sigal; Gottlieb, David Spectral methods for time-dependent problems. (English) Zbl 1111.65093 Cambridge Monographs on Applied and Computational Mathematics 21. Cambridge: Cambridge University Press (ISBN 978-0-521-79211-0/hbk). ix, 273 p. (2007). Reviewer: Francisco Perez Acosta (La Laguna) MSC: 65M70 65-02 65M20 65M12 65M15 35Kxx 35Lxx PDFBibTeX XMLCite \textit{J. S. Hesthaven} et al., Spectral methods for time-dependent problems. Cambridge: Cambridge University Press (2007; Zbl 1111.65093) Full Text: DOI
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
Min, M. S.; Gottlieb, D. On the convergence of the Fourier approximation for eigenvalues and eigenfunctions of discontinuous problems. (English) Zbl 1036.65087 SIAM J. Numer. Anal. 40, No. 6, 2254-2269 (2003). Reviewer: Wilhelm Heinrichs (Essen) MSC: 65N25 65N12 65N35 35R05 35P15 PDFBibTeX XMLCite \textit{M. S. Min} and \textit{D. Gottlieb}, SIAM J. Numer. Anal. 40, No. 6, 2254--2269 (2003; Zbl 1036.65087) Full Text: DOI
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
Costa, B.; Dettori, L.; Gottlieb, D.; Temam, R. Time marching multilevel techniques for evolutionary dissipative problems. (English) Zbl 0995.65106 SIAM J. Sci. Comput. 23, No. 1, 46-65 (2001). Reviewer: Ivan Secrieru (Chişinău) MSC: 65M70 65L06 65L20 65M20 35Q53 65M12 PDFBibTeX XMLCite \textit{B. Costa} et al., SIAM J. Sci. Comput. 23, No. 1, 46--65 (2001; Zbl 0995.65106) 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
Wasberg, Carl Erik; Gottlieb, David Optimal decomposition of the domain in spectral methods for wave-like phenomena. (English) Zbl 0967.65102 SIAM J. Sci. Comput. 22, No. 2, 617-632 (2000). Reviewer: Wilhelm Heinrichs (Essen) MSC: 65M70 65M12 35L15 PDFBibTeX XMLCite \textit{C. E. Wasberg} and \textit{D. Gottlieb}, SIAM J. Sci. Comput. 22, No. 2, 617--632 (2000; Zbl 0967.65102) Full Text: DOI
Hesthaven, J. S.; Gottlieb, D. Stable spectral methods for conservation laws on triangles with unstructured grids. (English) Zbl 0924.76080 Comput. Methods Appl. Mech. Eng. 175, No. 3-4, 361-381 (1999). MSC: 76M25 65M70 35L65 76N15 PDFBibTeX XMLCite \textit{J. S. Hesthaven} and \textit{D. Gottlieb}, Comput. Methods Appl. Mech. Eng. 175, No. 3--4, 361--381 (1999; Zbl 0924.76080) 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
Yang, B.; Gottlieb, D.; Hesthaven, J. S. Spectral simulations of electromagnetic wave scattering. (English) Zbl 0883.65098 J. Comput. Phys. 134, No. 2, 216-230 (1997). Reviewer: Ll.G.Chambers (Bangor) MSC: 65Z05 78A45 35Q60 65M70 PDFBibTeX XMLCite \textit{B. Yang} et al., J. Comput. Phys. 134, No. 2, 216--230 (1997; Zbl 0883.65098) Full Text: DOI
Carpenter, Mark H.; Gottlieb, David Spectral methods on arbitrary grids. (English) Zbl 0862.65054 J. Comput. Phys. 129, No. 1, 74-86 (1996). Reviewer: V.A.Kostova (Russe) MSC: 65M70 35L15 PDFBibTeX XMLCite \textit{M. H. Carpenter} and \textit{D. Gottlieb}, J. Comput. Phys. 129, No. 1, 74--86 (1996; Zbl 0862.65054) Full Text: DOI Link
Dettori, Lucia; Gottlieb, David; Temam, Roger A nonlinear Galerkin method: The two-level Fourier-collocation case. (English) Zbl 0859.65111 J. Sci. Comput. 10, No. 4, 371-389 (1995). MSC: 65M60 35Q53 65M70 65M50 PDFBibTeX XMLCite \textit{L. Dettori} et al., J. Sci. Comput. 10, No. 4, 371--389 (1995; Zbl 0859.65111) 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
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 PDFBibTeX XMLCite \textit{D. Gottlieb} and \textit{R. Temam}, Appl. Numer. Math. 12, No. 1--3, 119--134 (1993; Zbl 0782.65122) Full Text: DOI
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
Gottlieb, David; Tadmor, Eitan The CFL condition for spectral approximations to hyperbolic initial- boundary value problems. (English) Zbl 0723.65079 Math. Comput. 56, No. 194, 565-588 (1991). Reviewer: W.Heinrichs (Düsseldorf) MSC: 65M70 65M12 35L15 PDFBibTeX XMLCite \textit{D. Gottlieb} and \textit{E. Tadmor}, Math. Comput. 56, No. 194, 565--588 (1991; Zbl 0723.65079) Full Text: DOI
Funaro, Daniele; Gottlieb, David Convergence results for pseudospectral approximations of hyperbolic systems by a penalty-type boundary treatment. (English) Zbl 0736.65074 Math. Comput. 57, No. 196, 585-596 (1991). Reviewer: W.Heinrichs (Düsseldorf) MSC: 65M70 65M15 35L45 PDFBibTeX XMLCite \textit{D. Funaro} and \textit{D. Gottlieb}, Math. Comput. 57, No. 196, 585--596 (1991; Zbl 0736.65074) 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
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; Tadmor, Eitan Convergence of spectral methods for hyperbolic initial-boundary value systems. (English) Zbl 0622.65110 SIAM J. Numer. Anal. 24, 532-537 (1987). Reviewer: W.Ames MSC: 65N35 35L50 PDFBibTeX XMLCite \textit{D. Gottlieb} et al., SIAM J. Numer. Anal. 24, 532--537 (1987; Zbl 0622.65110) Full Text: DOI Link
Gottlieb, David; Turkel, Eli Topics in spectral methods. (English) Zbl 0564.65074 Numerical methods in fluid dynamics, Lect. 3rd 1983 Sess. C.I.M.E., Como/Italy 1983, Lect. Notes Math. 1127, 115-155 (1985). Reviewer: K.Najzar MSC: 65N35 35K60 PDFBibTeX XML
Gottlieb, David; Hussaini, M. Yousuff; Orszag, Steven A. Theory and applications of spectral methods. (English) Zbl 0599.65079 Spectral methods for partial differential equations, Proc. Symp., NASA Langley Res. Cent. 1982, 1-54 (1984). MSC: 65N35 35Q99 76B10 76D10 76L05 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, 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; Orszag, Steven A.; Turkel, Eli Stability of pseudospectral and finite-difference methods for variable coefficient problems. (English) Zbl 0537.65084 Math. Comput. 37, 293-305 (1981). Reviewer: L.Boubelíková MSC: 65N35 65N12 35L50 PDFBibTeX XMLCite \textit{D. Gottlieb} et al., Math. Comput. 37, 293--305 (1981; Zbl 0537.65084) 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; Orszag, Steven A. Numerical analysis of spectral methods: Theory and applications. (English) Zbl 0412.65058 CBMS-NSF Regional Conference Series in Applied Mathematics. 26. Philadelphia, Pa.: SIAM, Society for Industrial and Applied Mathematics. v, 172 p. $ 12.25 (1977). Reviewer: Horst Kreth MSC: 65N35 65N30 65-02 65M12 PDFBibTeX XML