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Highly accurate compact implicit methods and boundary conditions. (English) Zbl 0357.65074

65N12 Stability and convergence of numerical methods for boundary value problems involving PDEs
65M12 Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs
Full Text: DOI
[1] Adam, Y., A Hermitian finite difference method for the solution of parabolic equations, Comp. math. appl., 1, 393, (1975) · Zbl 0356.65086
[2] Hirsh, R.S., Higher order accurate difference solutions of fluid mechanics problems by a compact differencing technique, J. computational phys., 19, 1, 90, (1975) · Zbl 0326.76024
[3] Kreiss, H.O., Methods for the approximate solution of time dependant problems, GARP report no. 13, (1975), Geneva
[4] Collatz, L., The numerical treatment of differential equations, (1960), Springer-Verlag Berlin
[5] Hirsh, R.S., Application of a fourth order differencing technique to fluid mechanics problems, ()
[6] Orzag; Israeli, Numerical simulation of viscous incompressible flows, ()
[7] Kreiss, H.O.; Oliger, J., Comparison of accurate methods for the integration of hyperbolic equation, Tellus, 24, 199, (1972)
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