Finite difference formulas in the complex plane

Among general functions of two variables f ( x , y ), analytic functions f ( z ) with z = x + i y form a very important special case. One consequence of analyticity turns out to be that 2-D finite difference (FD) formulas can be made remarkably accurate already for small stencil sizes. This article...

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Bibliographic Details
Published in:	Numerical algorithms Vol. 90; no. 3; pp. 1305 - 1326
Main Author:	Fornberg, Bengt
Format:	Journal Article
Language:	English
Published:	New York Springer US 01.07.2022 Springer Nature B.V
Subjects:	Algebra Algorithms Analytic functions Approximation Computer Science Finite difference method Interpolation Numeric Computing Numerical Analysis Numerical differentiation Original Paper Stencils Theory of Computation 30E20 Analytic functions 65E99 Euler-Maclaurin 30-E10 Finite differences Contour integration Analytic continuation Secondary: 30B40 Complex variables Primary: 30-08 65D25
ISSN:	1017-1398, 1572-9265
Online Access:	Get full text
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