期刊
JOURNAL OF COMPUTATIONAL PHYSICS
卷 193, 期 1, 页码 349-355出版社
ACADEMIC PRESS INC ELSEVIER SCIENCE
DOI: 10.1016/j.jcp.2003.08.001
关键词
extrapolation; level set; partial differential equation
In this short note, a general methodology for multidimensional extrapolation is presented. The approach assumes a level set function exists which separates the region of known values from the region to be extrapolated. It is shown that arbitrary orders of polynomial extrapolation can be formulated by simply solving a series of linear partial differential equations (PDEs). Examples of constant, linear and quadratic extrapolation are given. (C) 2003 Elsevier B.V. All rights reserved.
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