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Volume 10, Issue 1
A New Kind of Schemes for the Operator Equations

Qing-Min Yang

J. Comp. Math., 10 (1992), pp. 21-28.

Published online: 1992-10

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  • Abstract

This paper provides a new kind of three-layer explicit schemes for solving the operator equation. It has good stability, and suits particularly the semidiscrete problems arising from solving multi-dimensional parabolic-type equations by the finite element method. The amount of its computation time is far less than that of various economical schemes of the difference method. If the accuracy of the nonstandard finite element schemes (2.7) is not enough, it can be improved using extrapolations.

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@Article{JCM-10-21, author = {Yang , Qing-Min}, title = {A New Kind of Schemes for the Operator Equations}, journal = {Journal of Computational Mathematics}, year = {1992}, volume = {10}, number = {1}, pages = {21--28}, abstract = {

This paper provides a new kind of three-layer explicit schemes for solving the operator equation. It has good stability, and suits particularly the semidiscrete problems arising from solving multi-dimensional parabolic-type equations by the finite element method. The amount of its computation time is far less than that of various economical schemes of the difference method. If the accuracy of the nonstandard finite element schemes (2.7) is not enough, it can be improved using extrapolations.

}, issn = {1991-7139}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jcm/9338.html} }
TY - JOUR T1 - A New Kind of Schemes for the Operator Equations AU - Yang , Qing-Min JO - Journal of Computational Mathematics VL - 1 SP - 21 EP - 28 PY - 1992 DA - 1992/10 SN - 10 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/jcm/9338.html KW - AB -

This paper provides a new kind of three-layer explicit schemes for solving the operator equation. It has good stability, and suits particularly the semidiscrete problems arising from solving multi-dimensional parabolic-type equations by the finite element method. The amount of its computation time is far less than that of various economical schemes of the difference method. If the accuracy of the nonstandard finite element schemes (2.7) is not enough, it can be improved using extrapolations.

Yang , Qing-Min. (1992). A New Kind of Schemes for the Operator Equations. Journal of Computational Mathematics. 10 (1). 21-28. doi:
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