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

MSC:
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
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[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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