Pirozzi, Maria Antonietta
High order finite difference schemes with application to wave propagation problems
Rendiconti del Seminario Matematico della Università di Padova, Tome 106 (2001) , p. 83-110
Zbl 02216800 | MR 1876215
URL stable : http://www.numdam.org/item?id=RSMUP_2001__106__83_0

Bibliographie

[1] M.A. Pirozzi, High-accuracy finite difference methods for systems of conservation laws. I, Technical Report, Istituto di Matematica, Istituto Universitario Navale, Marzo 1999.

[2] M.A. Pirozzi, A class of semi-implicit schemes for wave propagation problems, Annali dell'Istituto Universitario Navale, vol. LXIII (1997), pp. 7-10.

[3] M.A. Pirozzi, Numerical simulation of fluid dynamic problems on distributed memory parallel computers, Concurrency: Practice and Experience, vol. 9 (1997), pp. 989-998. Zbl 0895.76059

[4] M.A. Pirozzi, On boundary conditions for the numerical solution of fluid dynamic problems, Calcolo, 26 (10) (1989), pp. 149-165. MR 1083051 | Zbl 0708.76045

[5] M.A. Pirozzi, Sulla stabilità di condizioni all'interfaccia nel raffinamento dei reticoli, Atti del Convegno Nazionale di Analisi Numerica, 1989, pp. 413-422.

[6] A. Lerat - Z. N. WU, Stable conservative multidomain treatments for implicit Euler solvers, J. Comput. Phys., 123 (1996), pp. 45-64. MR 1370375 | Zbl 0839.76065

[7] C.A.J. Fletcher, Computational techniques for fluid dynamics 1, Springer Verlag, 1991. MR 1104657 | Zbl 0717.76001

[8] G.A. Sod, Numerical methods in fluid dynamics, Cambridge University Press, 1989. MR 832441 | Zbl 0592.76001

[9] R.D. Richtmyer - K. W. MORTON, Difference methods for initial-value problems, 2nd eds., J. Wiley, 1967. MR 220455 | Zbl 0155.47502

[10] D.R. Emerson et al., Parallel computational fluid dynamics, Elsevier Science B. V., 1998. MR 1634267

[11] A. Quarteroni - A. Valli, Numerical approximation of partial differential equations, Springer Verlag, 1994. MR 1299729 | Zbl 0803.65088

[12] C.A.J. Fletcher, Computational techniques for fluid dynamics 2, Springer Verlag, 1991. MR 1122807 | Zbl 0717.76001