Untitled - Cdm.unimo.it

References 301
pavoni d.(1988), Single and multidomain Chebyshev collocation methods for the Korteweg-De Vries equation,
Calcolo, 25, n.4, pp.311-346.
peaceman d.w. & rachford h.h.Jr.(1955), The numerical solution of parabolic and elliptic differential
equations, J. Soc. Indust. Appl. Math., 3, pp.28-41.
pelz r.b.(1990), Pseudospectral methods on massively parallel computers, in Spectral and High Order
Methods for P.D.E. (C.Canuto & A.Quarteroni Eds.), North Holland, Amsterdam, pp.493-503.
pogorzelski w.(1966), Integral Equations and their Applications, Vol.1, Pergamon Press, Oxford.
prandtl l.(1905), Über flüssigkeiten bei sehr kleimer reibung, Proceedings of the Third International Mathematics
Congress, Heidelberg, pp.484-491.
quarteroni a.(1990), Domain decomposition methods for systems of conservation laws: spectral collocation
approximations, SIAM J. Sci. Stat. Comput., 11, pp.1029-1052.
quarteroni a. & sacchi-landriani g.(1988), Domain decomposition preconditioners for the spectral
collocation method, J. Sci. Comput., 3, n.1, pp.45-76.
ralston a.(1965), A First Course in Numerical Analysis, Mc Graw-Hill, New York.
rao m.m.(1987), Measure Theory and Integration, Wiley-Interscience, New York.
rhee h.k., aris r. & amundson n.r.(1986), First-Order Partial Differential Equations. Volume I:
Theory and Application of Single Equations, Prentice-Hall, Englewood Cliffs NJ.
richardson l.f.(1910), The approximate arithmetical solution by finite differences of physical problems
involving differential equations with an application to the stresses in a masonry dam, Phylos. Trans.
Roy. Soc. London, A 210, pp.307-357.
rivlin t.j.(1969), An Introduction to the Approximation of Functions, Blaisdell Publishing Company,
Waltham MA.
rivlin t.j.(1974), The Chebyshev polynomials, Wiley-Interscience, New York.
rønquist e.m. & patera a.t.(1987), A Legendre spectral element method for the Stefan problem, Internat.
J. Numer. Methods Engrg., 24, pp.2273-2299.
rubinstein l.i.(1971), The Stefan Problem, Translation of Mathematical Monographs, 27, AMS, Providence
RI.
rudin w.(1966), Real and Complex Analysis, McGraw Hill, New York.
schwarz h.a.(1890), Gesammelte Mathematische Abhandlungen, Springer, Berlin.
schwartz l.(1966), Théorie des Distributions, Hermann, Paris.
simmons g.f.(1972), Differential Equations with Applications and Historical Notes, McGraw-Hill, New
York.
singleton r.c.(1969), An algorithm for computing the mixed radix fast Fourier transform, IEEE Trans.
Audio Electroacoustic, AU15, pp.91-97.
smoller j.(1983), Shock Waves and Reaction-Diffusion Equations, Springer-Verlag, New York.
sneddon i.n.(1957), Elements of Partial Differential Equations, McGraw-Hill, New York.
sobolev s.l.(1964), Partial Differential Equations of Mathematical Physics, Pergamon Press, Oxford.
sod g.a.(1985), Numerical Methods in Fluid Dynamics, Initial and Initial Boundary-Value Problems,
Cambridge University Press, Cambridge.
solomonoff a. & turkel e.(1989), Global properties of pseudospectral methods, J. Comput. Phys., 81,
pp.239-276.
srivastava h.m. & manocha h.l.(1984), A Treatise on Generating Functions, Ellis Harwood, Chichester
(England).