General operational calculus
type: Item
instance of: scholarly article
title: General operational calculus
zbMATH Open document ID: 0562.44006
DOI: 10.1016/0024-3795(86)90308-3
author: Lothar Berg
published in: Linear Algebra and its Applications
publication date: 1986-01-01T00:00:00Z
review text: The article gives a survey on some trends in modern operational calculus. It begins with the abstract Taylor formula and shows its application for the solution of both initial and boundary value problems. Especially, convolution and factorization methods are refered. Functional analytic methods are demonstrated by means of instationary iteration methods, which provide us by the way with approximative solutions. There is a close connection to the modern algebraic multigrid methods and to further computational aspects in the framework of finite or discrete operational calculus as asymptotic questions concerning the numerical stability and the fast Fourier transform or several number theoretic transforms.
Mathematics Subject Classification ID: 44A40
Mathematics Subject Classification ID: 34A25
Mathematics Subject Classification ID: 47C05
Mathematics Subject Classification ID: 65J05
Mathematics Subject Classification ID: 65T40
zbMATH DE Number: 3895640
zbMATH Keywords: abstract Taylor formula
zbMATH Keywords: convolution
zbMATH Keywords: factorization
zbMATH Keywords: functional analytic methods
zbMATH Keywords: instationary iteration methods
zbMATH Keywords: multigrid methods
zbMATH Keywords: numerical stability
zbMATH Keywords: fast Fourier transform
zbMATH Keywords: number theoretic transforms
MaRDI profile type: Publication
full work available at URL: 0024-3795(86)90308-3
OpenAlex ID: W2060390624
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description: scientific article; zbMATH DE number 3895640