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Titlebook: Applied Laplace Transforms and z-Transforms for Scientists and Engineers; A Computational Appr Urs Graf Textbook 2004 Springer Basel AG 200

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期刊全称Applied Laplace Transforms and z-Transforms for Scientists and Engineers
期刊简称A Computational Appr
影响因子2023Urs Graf
视频video
发行地址Clear introduction to Laplace- and z-transforms together with some advanced subjects related to applications.A Mathematica package for computing Laplace- and z-transforms, including numerical inversio
图书封面Titlebook: Applied Laplace Transforms and z-Transforms for Scientists and Engineers; A Computational Appr Urs Graf Textbook 2004 Springer Basel AG 200
影响因子The theory of Laplace transformation is an important part of the mathematical background required for engineers, physicists and mathematicians. Laplace transformation methods provide easy and effective techniques for solving many problems arising in various fields of science and engineering, especially for solving differential equations. What the Laplace transformation does in the field of differential equations, the z-transformation achieves for difference equations. The two theories are parallel and have many analogies. Laplace and z­ transformations are also referred to as operational calculus, but this notion is also used in a more restricted sense to denote the operational calculus of Mikusinski. This book does not use the operational calculus of Mikusinski, whose approach is based on abstract algebra and is not readily accessible to engineers and scientists. The symbolic computation capability of Mathematica can now be used in favor of the Laplace and z-transformations. The firstversion of the Mathematica Package LaplaceAndzTransforrns developed by the author appeared ten years ago. The Package computes not only Laplace and z-transforms but also includes many routines from va
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978-3-0348-9593-4Springer Basel AG 2004
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z-Transformation with the Package,y of z-transformation may start with this chapter. It is assumed that the reader has a sufficient level of expertise with .. At any case we recommend to first read Section 3.1 of the foregoing chapter.
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Block Diagram-Based Solutions of FODEs,The main reference about heat conduction in connection with Laplace transformation is [Jaeger and Carslaw (2000)]. Further references are [Churchill (1972)], [Proudnikov and Ditkine (1979)], [Chabat and Lavrentiev (1972)]. We start with some problems concerning linear flow of heat. Later we will treat problems with cylindrical symmetry.
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Numerical Solutions of Nonlinear FODEs,Duhamel’s formulas allow us to write the solution of a complicated problem as a convolution integral containing the solution of a simpler associated problem.
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