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Volume 1, Issue 1
The Splitting Extrapolation Method for Multidimensional Problems

Qun Lin & Lü Tao

J. Comp. Math., 1 (1983), pp. 45-51.

Published online: 1983-01

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  • Abstract

This note presents a splitting extrapolation process, which uses successively one-dimensional extrapolation procedure along only one variable with other variables kept fixed. This splitting technique is applied to the numerical cubature of multiple integrals, multidimensional integral equations and the difference method for solving the Poisson equation. For each case, the corresponding error estimates are given. They show the advantage of this method over the isotropic extrapolation along all the variables.

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@Article{JCM-1-45, author = {Lin , Qun and Tao , Lü}, title = {The Splitting Extrapolation Method for Multidimensional Problems}, journal = {Journal of Computational Mathematics}, year = {1983}, volume = {1}, number = {1}, pages = {45--51}, abstract = {

This note presents a splitting extrapolation process, which uses successively one-dimensional extrapolation procedure along only one variable with other variables kept fixed. This splitting technique is applied to the numerical cubature of multiple integrals, multidimensional integral equations and the difference method for solving the Poisson equation. For each case, the corresponding error estimates are given. They show the advantage of this method over the isotropic extrapolation along all the variables.

}, issn = {1991-7139}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jcm/9680.html} }
TY - JOUR T1 - The Splitting Extrapolation Method for Multidimensional Problems AU - Lin , Qun AU - Tao , Lü JO - Journal of Computational Mathematics VL - 1 SP - 45 EP - 51 PY - 1983 DA - 1983/01 SN - 1 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/jcm/9680.html KW - AB -

This note presents a splitting extrapolation process, which uses successively one-dimensional extrapolation procedure along only one variable with other variables kept fixed. This splitting technique is applied to the numerical cubature of multiple integrals, multidimensional integral equations and the difference method for solving the Poisson equation. For each case, the corresponding error estimates are given. They show the advantage of this method over the isotropic extrapolation along all the variables.

Qun Lin & Tao Lü. (1970). The Splitting Extrapolation Method for Multidimensional Problems. Journal of Computational Mathematics. 1 (1). 45-51. doi:
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