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Weighted inequalities for the two-dimensional Laplace Transform

SUT Journal of Mathematics, 1999
Let \(\mathcal L\) be the two-dimensional Laplace transform, let \(v\) and \(u\) be weights on \((0,\infty)^2\), and let ...
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Boundary element‐free method (BEFM) for two‐dimensional elastodynamic analysis using Laplace transform

International Journal for Numerical Methods in Engineering, 2005
AbstractIn this paper, we present a direct meshless method of boundary integral equation (BIE), known as the boundary element‐free method (BEFM), for two‐dimensional (2D) elastodynamic problems that combines the BIE method for 2D elastodynamics in the Laplace‐transformed domain and the improved moving least‐squares (IMLS) approximation.
Liew, KM, Cheng, YM, Kitipornchai, S
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Numerical inversion of two-dimensional Laplace transforms—Fourier series representation

Applied Numerical Mathematics, 1995
The Laplace transform provides a powerful method for analyzing linear systems. It is heavily used in solving differential and integral equations. In a wide variety of applied problems, the solution requires the inversion of Laplace transforms involving numerous functions.
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Hybrid Laplace transform/finite-element method for two-dimensional transient heat conduction

Journal of Thermophysics and Heat Transfer, 1988
A 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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Multiconductor Transmission Lines Sensitivity via Two-Dimensional Laplace Transform

2006 13th IEEE International Conference on Electronics, Circuits and Systems, 2006
The paper deals with a non-traditional method for determination of sensitivities of voltage and/or current waves propagating down multiconductor transmission lines (MTLs). The main idea is to use a two-dimensional Laplace transform (2D-LT) to replace the originally partial differential equations describing the uniform MTLs in the (x, t)-domain with ...
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Two-dimensional Laplace, Hankel, and Mellin transforms of linear time-varying systems

2009 52nd IEEE International Midwest Symposium on Circuits and Systems, 2009
Application of the two-dimensional Laplace transform (2DLT) and some of its properties with regard to linear time-varying (LTV) system representation are investigated. In particular, the 2DLT characterization leads to a bifrequency representation for LTV systems that exhibit circular symmetry.
Shervin Erfani, Nima Bayan
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Numerical Inversion of Two-Dimensional Laplace Transforms Based on Partial Inversions

2007 17th International Conference Radioelektronika, 2007
The 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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An analytical solution for two-dimensional inverse heat conduction problems using Laplace transform

International Journal of Heat and Mass Transfer, 2003
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Monde, Masanori   +4 more
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The block-pulse functions method of the two-dimensional Laplace transform

International Journal of Systems Science, 1983
This paper extends the recently developed method of one-dimensional (1D) operational calculus via block-pulse functions method. It was shown that the inverse Laplace transform of a two-dimensional (2D) rational transfer function can easily be obtained in terms of block-pulse functions as a set of linear recursive equations.
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A Laplace transform-based fundamental collocation method for two-dimensional transient heat flow

Applied Thermal Engineering, 2003
The fundamental collocation method (FCM) is extended to handle two dimensional transient heat conduction problems in solids. The method is applied in the Laplace transform domain, after which an inversion technique is used to retrieve the time-domain solution.
Enayat Mahajerin, Gary Burgess
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