Super-Exponential Rate of Convergence of the Cayley Transform Method for an Abstract Differential Equation

Author:

Mayko N. V.

Publisher

Springer Science and Business Media LLC

Subject

General Computer Science

Reference14 articles.

1. E. F. Galba, “Accuracy order of the finite-difference scheme for the Poisson equation with mixed boundary condition,” in: Optimization of Computer Software Algorithms [in Russian], V. M. Glushkov Inst. of Cybern. AS UkrSSR (1985), pp. 30–34.

2. V. Makarov, “On a priori estimate of difference schemes giving an account of the boundary effect,” C. R. Acad. Bulg. Sci. (Proc. of the Bulgarian Academy of Sciences), Vol. 42, No. 5, 41–44 (1989).

3. I. N. Molchanov and E. F. Galba, “Convergence of the finite-difference scheme approximating the Dirichlet problem for the elliptic equation with piecewise constant coefficients,” in: Numerical Methods and Technology of the Development of Applied Software Packages [in Russian], V. M. Glushkov Inst. of Cybern. AS UkrSSR (1990), pp. 161–165.

4. V. L. Makarov and L. I. Demkiv, “Accuracy estimates in finite difference schemes for parabolic equations that take into account the initial–boundary effect,” Dopov. Nac. Akad. Nauk Ukr., No. 2, 26–32 (2003).

5. V. L. Makarov and L. I. Demkiv, “Accuracy estimates of differences schemes for quasi-linear parabolic equations taking into account the initial-boundary effect,” Computational Methods in Applied Mathematics, Vol. 3, Iss. 4, 579–595 (2003).

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