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298 Polynomial Approximation of Differential Equations
gottlieb d.(1981), The stability of pseudospectral Chebyshev methods, Math. Comp., 36, pp.107-118.
gottlieb d., gunzburger m. & turkel e.(1982), On numerical boundary treatment for hyperbolic
systems, SIAM J. Numer. Anal., 19, pp.671-697.
gottlieb d., hussaini m.y. & orszag s.a.(1984), Theory and application of spectral methods, in Spectral
Methods for Partial Differential Equations (R.G.Voigt, D.Gottlieb & M.Y.Hussaini Eds.),
SIAM-CBMS, Philadelphia, pp.1-54.
gottlieb d.& lustman.l.(1983), The spectrum of the Chebyshev collocation operator for the heat equation,
SIAM J. Numer. Anal., 20, n.5, pp.909-921.
gottlieb d., lustman.l.& tadmor e.(1987a), Stability analysis of spectral methods for hyperbolic initialboundary
value problems, SIAM J. Numer. Anal., 24, pp.241-256.
gottlieb d., lustman.l.& tadmor e.(1987b), Convergence of spectral methods for hyperbolic initialboundary
value problems, SIAM J. Numer. Anal., 24, pp.532-537.
gottlieb d. & orszag s.a.(1977), Numerical Analysis of Spectral Methods, Theory and Applications,
CBMS-NSF Regional Conference Series in Applied Mathematics, SIAM, Philadelphia.
gottlieb d. & tadmor e.(1990), The CFL condition for spectral approximations to hyperbolic initialboundary
value problems, ICASE (Hampton VA) report n. 90-42.
gottlieb d. & turkel e.(1985), Topics in spectral methods for time dependent problems, in Numerical
Methods in Fluid Dynamics (F. Brezzi Ed.), Springer-Verlag, pp.115-155.
greenspan d.(1961), Introduction to Partial Differential Equations, McGraw-Hill, New York.
grosch c.e. & orszag s.a.(1977), Numerical solution of problems in unbounded regions: coordinate
transformations, J. Comput. Phys., 25, pp.273-296.
guelfand j.m., graev m.i. & vilenkin n.j.(1970), Les Distributions, 5 Volumes, Dunod, Paris.
hackbusch w.(1985), Multi-Grid Methods and Applications, Spriger Series in Computational Mathematics,
Springer-Verlag, Heidelberg.
hageman l.a. & young d.m.(1981), Applied Iterative Methods, Academic Press, Orlando.
haldenwang p., labrosse g., abboudi s. & deville m.(1984), Chebyshev 3-D spectral and 2-D
pseudospectral solvers for the Helmholtz equation, J. Comput. Phys., 55, pp.115-128.
halmos p.r.(1950), Measure Theory, D.Van Nostrand Company Inc., New York.
hartman s. & mikusiński j.(1961), The Theory of Lebesgue Measure and Integration, Pergamon Press,
Oxford.
heinrichs w.(1988), Line relaxation for spectral multigrid methods, J. Comput. Phys., 77, n.1, pp.166-182.
heinrichs w.(1989), Improved condition number for spectral methods, Math. Comp., 53, n.187, pp.103-119.
hildebrandt t.h.(1963), Theory of Integration, Academic Press, London.
hill j.m. & dewynne j.n.(1987), Heat Conduction, Blackwell Scientific Publications, Oxford.
hochstadt h.(1971), The functions of Mathematical Physics, Wiley-Interscience, New York.
hochstadt h.(1973), Integral Equations, John Wiley & Sons, New York.
hoffman k. & kunze r.(1971), Linear Algebra, Second edition, Prentice-Hall, Englewood Cliffs NJ.
ioakimidis n.i.(1981), On the weighted Galerkin method of numerical solution of Cauchy type singular
integral equations, SIAM J. Numer. Anal., 18, n.6, pp.1120-1127.
isaacson e. & keller h.b.(1966), Analysis of Numerical Methods, John Wiley & Sons, New York.
jackson d.(1911), Über Genauigkeit der Annäherung stetiger Funktionen durch ganze rationale Funktionen
gegebenen Grades und trigonometrische Summen gegebener Ordnung, Dissertation, Göttingen.