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Hybrid Laplace transform/finite-element method for two-dimensional transient heat conduction
Journal of Thermophysics and Heat Transfer, 1988A powerful method of analysis, the combined use of the Laplace transform and the finite-element method, is applicable to the problem of time-dependent heat flow systems. The present method removes the time terms using the Laplace transform and then solves the associated equation with the finite-element technique. The associated temperature transform is
Han-Taw Chen, Cha'o-Kuang Chen
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Numerical Inversion of Two-Dimensional Laplace Transforms Based on Partial Inversions
2007 17th International Conference Radioelektronika, 2007The paper deals with a technique for numerical inversion of two-dimensional Laplace transforms based on the FFT & IFFT in conjunction with a quotient-difference algorithm of Rutishauser. In contrast to the existing FFT-based technique the presented one is based on a repeated application of one-dimensional partial Laplace transform inversions.
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2008 Joint 6th International IEEE Northeast Workshop on Circuits and Systems and TAISA Conference, 2008
The objective of this paper is to extend application of Laplace-Carson transform (LCT) to the realization of linear time-varying (LTV) systems. We propose using the unilateral and bilateral two-dimensional Laplace transform (2DLT) for realization of LTV systems, which exhibit a circular symmetry.
Nima Bayan, Shervin Erfani
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The objective of this paper is to extend application of Laplace-Carson transform (LCT) to the realization of linear time-varying (LTV) systems. We propose using the unilateral and bilateral two-dimensional Laplace transform (2DLT) for realization of LTV systems, which exhibit a circular symmetry.
Nima Bayan, Shervin Erfani
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9th International Conference on Electronics, Circuits and Systems, 2003
Laplace transforms in two variables can very be useful in the solution of partial differential equations describing transient behaviour of linear dynamical systems. It is often either too difficult or even impossible to obtain their originals analytically, however.
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Laplace transforms in two variables can very be useful in the solution of partial differential equations describing transient behaviour of linear dynamical systems. It is often either too difficult or even impossible to obtain their originals analytically, however.
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Process analysis in PWM inverters based on two dimensional laplace transform
International School on Nonsinusoidal Currents and Compensation 2013 (ISNCC 2013), 2013This paper deals with a method for calculation of steady-state processes in PWM inverters with a sinusoidal output. The method depends on the introduction of an additional independent time variable and equally the presentation of the inverter output voltage in the space of two time variables as well as the transformation of a differential equation with
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2000 IEEE International Symposium on Circuits and Systems. Emerging Technologies for the 21st Century. Proceedings (IEEE Cat No.00CH36353), 2002
The paper describes a fast computational method for the numerical inversion of two-dimensional Laplace transforms (2D-NILT). The numerical procedure is basically that based on FFT algorithms (Brancik and Valsa, 1998), but it is improved significantly using an /spl epsiv/-algorithm to give precision to the result.
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The paper describes a fast computational method for the numerical inversion of two-dimensional Laplace transforms (2D-NILT). The numerical procedure is basically that based on FFT algorithms (Brancik and Valsa, 1998), but it is improved significantly using an /spl epsiv/-algorithm to give precision to the result.
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International Journal of Nuclear Energy Science and Technology, 2010
In the first part of this paper, we describe a review in the Laplace transform technique applied to SN two-dimensional transport equation in a rectangular domain considering Compton scattering. In Compton scattering the incident photon interacts with an electron of the irradiated medium, giving the electron kinetic energy, and also producing a ...
Barbara D. do Amaral Rodriguez +2 more
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In the first part of this paper, we describe a review in the Laplace transform technique applied to SN two-dimensional transport equation in a rectangular domain considering Compton scattering. In Compton scattering the incident photon interacts with an electron of the irradiated medium, giving the electron kinetic energy, and also producing a ...
Barbara D. do Amaral Rodriguez +2 more
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The two-dimensional Laplace transform for G-functions
2012Lo scopo di questo lavoro è di ottenere nuove relazioni operazionali tra un insieme e la sua immagine per una trasformazione di Laplace bidimensionale che comprenda le G-funzioni di Meijer e le funzioni iper geometriche confluenti di Whittaker.
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Engineering Computations, 2002
This paper deals with a Laplace transformation (LT) dual-reciprocity boundary element method for the numerical solution of a two-dimensional thermal problem governed by a third order PDE. After the LT, the method reduces the problem into a system of linear algebraic equations.
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This paper deals with a Laplace transformation (LT) dual-reciprocity boundary element method for the numerical solution of a two-dimensional thermal problem governed by a third order PDE. After the LT, the method reduces the problem into a system of linear algebraic equations.
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Numerical Heat Transfer, Part B: Fundamentals, 1991
This paper presents results obtained by the implementation of a new hybrid Laplace transform/finite element method developed by the authors. Test examples are used to show that the basic accuracy is comparable to that obtained by analytical, finite difference, and finite element methods.
Cha'o-Kuang Chen +2 more
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This paper presents results obtained by the implementation of a new hybrid Laplace transform/finite element method developed by the authors. Test examples are used to show that the basic accuracy is comparable to that obtained by analytical, finite difference, and finite element methods.
Cha'o-Kuang Chen +2 more
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