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Author: Alan M. Cohen Publisher: Springer Science & Business Media ISBN: 0387688552 Category : Mathematics Languages : en Pages : 262
Book Description
This book gives background material on the theory of Laplace transforms, together with a fairly comprehensive list of methods that are available at the current time. Computer programs are included for those methods that perform consistently well on a wide range of Laplace transforms. Operational methods have been used for over a century to solve problems such as ordinary and partial differential equations.
Author: Alan M. Cohen Publisher: Springer Science & Business Media ISBN: 0387688552 Category : Mathematics Languages : en Pages : 262
Book Description
This book gives background material on the theory of Laplace transforms, together with a fairly comprehensive list of methods that are available at the current time. Computer programs are included for those methods that perform consistently well on a wide range of Laplace transforms. Operational methods have been used for over a century to solve problems such as ordinary and partial differential equations.
Author: Richard Bellman Publisher: World Scientific ISBN: 9789971966737 Category : Mathematics Languages : en Pages : 180
Book Description
The classical theory of the Laplace Transform can open many new avenues when viewed from a modern, semi-classical point of view. In this book, the author re-examines the Laplace Transform and presents a study of many of the applications to differential equations, differential-difference equations and the renewal equation.
Author: Urs Graf Publisher: Birkhäuser ISBN: 303487846X Category : Mathematics Languages : en Pages : 501
Book Description
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 first version 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 various domains of applications. Upon loading the Package, about one hundred and fifty new commands are added to the built-in commands of Mathematica. The code is placed in front of the already built-in code of Laplace and z-transformations of Mathematica so that built-in functions not covered by the Package remain available. The Package substantially enhances the Laplace and z-transformation facilities of Mathematica. The book is mainly designed for readers working in the field of applications.
Author: Amos Otasowie Egonmwan Publisher: LAP Lambert Academic Publishing ISBN: 9783659229824 Category : Languages : en Pages : 96
Book Description
The Laplace transform - is an important integral transform with several applications in physics and engineering. It is used in the analysis of time-invariant systems such as electrical circuits, mechanical systems, optical devices, harmonic oscillators, etc. In the case when the Laplace transform is measured, computed or known only on the real positive axis, the problem of reconstructing the original function is extremely ill-posed. In this case, stable inversion formulas do not exist. As a result, the author examined two known numerical inversion algorithms: the Gaver-Stehfest and the Piessen's method, and proposed a regularized collocation inversion method based on Tikhonov regularization. Most of the chapters are devoted to a review of integral equations, inverse and ill-posed problems, and regularization of ill-posed problems. However, the last two chapters focus on the mathematical derivation of the inversion methods, as well as their numerical implementation and results. This specialized book is intended for advanced undergraduate and graduate students in mathematics, engineering, and physics. Mathematicians, scientists, and engineers will also find this book useful.
Author: P.P.G. Dyke Publisher: Springer Science & Business Media ISBN: 1447105052 Category : Mathematics Languages : en Pages : 257
Book Description
This introduction to Laplace transforms and Fourier series is aimed at second year students in applied mathematics. It is unusual in treating Laplace transforms at a relatively simple level with many examples. Mathematics students do not usually meet this material until later in their degree course but applied mathematicians and engineers need an early introduction. Suitable as a course text, it will also be of interest to physicists and engineers as supplementary material.
Author: Alan M. Cohen
Author: Alan M. Cohen
Author: Richard Bellman
Author: 
Author: Kathryn Elizabeth Carr
Author: Urs Graf
Author: Paul Cyprian Messina
Author: Richard Bellman
Author: Amos Otasowie Egonmwan
Author: 
Author: P.P.G. Dyke