Properties of \(I_{MN}\) and \(J_{MN}\) approximants and applications to numerical inversion of Laplace transforms and initial value problems

DOI10.1016/0022-247X(75)90048-7zbMath0297.41012MaRDI QIDQ1214060

V. Zakian

Publication date: 1975

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Mathematics Subject Classification ID

Laplace transform (44A10) Approximation by operators (in particular, by integral operators) (41A35)

Related Items

The design of robust control systems for plants with recycle, Incomplete partial fractions for parallel evaluation of rational matrix functions, Likelihood ratio tests for elaborate covariance structures and for MANOVA models with elaborate covariance structures -- a review, On quadratures related to Padé approximants for the inversion of the Laplace transform, Talbot quadratures and rational approximations, Properties of \(I_{MN}\) and \(J_{MN}\) approximants and applications to numerical inversion of Laplace transforms and initial value problems, The performance and sensitivity of classical control systems, The numerical solution of linear time-dependent partial differential equations by the Laplace and fast Fourier transforms, Stability of Zakian \(I_{MN}\) recursions for linear delay differential equations, Design of a single-loop digital controller by the method of inequalities, Improved time-response algorithm for the method of inequalities, Unnamed Item, A comparison between the method of inequalities and other techniques in control systems design

Uses Software

• Algorithm 368

Cites Work

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• A special stability problem for linear multistep methods
• A Generalization of Taylor's Expansion