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The Numerical Inversion of the Laplace Transform - Amos Otasowie Egonmwan
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Amos Otasowie Egonmwan:
The Numerical Inversion of the Laplace Transform - Taschenbuch

2012, ISBN: 3659229822

ID: 10409376559

[EAN: 9783659229824], Neubuch, [PU: LAP Lambert Academic Publishing Sep 2012], This item is printed on demand - Print on Demand Neuware - 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. 96 pp. Englisch

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The Numerical Inversion of the Laplace Transform - Amos Otasowie Egonmwan
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The Numerical Inversion of the Laplace Transform - neues Buch

ISBN: 9783659229824

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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. Bücher / Naturwissenschaften, Medizin, Informatik & Technik / Mathematik

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The Numerical Inversion of the Laplace Transform - Amos Otasowie Egonmwan
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Amos Otasowie Egonmwan:
The Numerical Inversion of the Laplace Transform - neues Buch

ISBN: 9783659229824

ID: a73f2a7e34543829ab0d9068b3b1547a

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. Buch / Broschur

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The Numerical Inversion of the Laplace Transform:Gaver-Stehfest, Piessens, and Regularized Collocation methods Amos Otasowie Egonmwan The Numerical Inversion of the Laplace Transform:Gaver-Stehfest, Piessens, and Regularized Collocation methods Amos Otasowie Egonmwan Bücher > Wissenschaft > Mathematik, LAP Lambert Academic Publishing

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The Numerical Inversion of the Laplace Transform ab 49 EURO Gaver-Stehfest, Piessens, and Regularized Collocation methods The Numerical Inversion of the Laplace Transform ab 49 EURO Gaver-Stehfest, Piessens, and Regularized Collocation methods Bücher > Wissenschaft > Mathematik

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