# Some fast finite-difference solvers for two-dimensional evolutionary equations on special domains

Aplikace matematiky (1982)

- Volume: 27, Issue: 5, page 313-318
- ISSN: 0862-7940

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topDinh, Ta Van. "Some fast finite-difference solvers for two-dimensional evolutionary equations on special domains." Aplikace matematiky 27.5 (1982): 313-318. <http://eudml.org/doc/15253>.

@article{Dinh1982,

abstract = {The author proves the existence of the asymptotic error expansion to the Peaceman-Rachford finite-difference scheme for the first boundary value problem of the two-dimensional evolationary equation on the so-called uniform and nearly uniform domains. This expansion leads, by Richardson extrapolation, to a simple process for accelerating the convergence of the method. A numerical example is given.},

author = {Dinh, Ta Van},

journal = {Aplikace matematiky},

keywords = {asymptotic error expansion; Peaceman-Rachford; Richardson extrapolation; accelerating the convergence; numerical example; asymptotic error expansion; Peaceman-Rachford; Richardson extrapolation; accelerating the convergence; numerical example},

language = {eng},

number = {5},

pages = {313-318},

publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},

title = {Some fast finite-difference solvers for two-dimensional evolutionary equations on special domains},

url = {http://eudml.org/doc/15253},

volume = {27},

year = {1982},

}

TY - JOUR

AU - Dinh, Ta Van

TI - Some fast finite-difference solvers for two-dimensional evolutionary equations on special domains

JO - Aplikace matematiky

PY - 1982

PB - Institute of Mathematics, Academy of Sciences of the Czech Republic

VL - 27

IS - 5

SP - 313

EP - 318

AB - The author proves the existence of the asymptotic error expansion to the Peaceman-Rachford finite-difference scheme for the first boundary value problem of the two-dimensional evolationary equation on the so-called uniform and nearly uniform domains. This expansion leads, by Richardson extrapolation, to a simple process for accelerating the convergence of the method. A numerical example is given.

LA - eng

KW - asymptotic error expansion; Peaceman-Rachford; Richardson extrapolation; accelerating the convergence; numerical example; asymptotic error expansion; Peaceman-Rachford; Richardson extrapolation; accelerating the convergence; numerical example

UR - http://eudml.org/doc/15253

ER -

## References

top- O. B. Widlund, Some recent applications of asymptotic error expansions to finite difference schemes, Proc. Roy. Soc. London, A 323, N. 1553, 1971, 167-177. (1971) Zbl0221.65005MR0495006

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