Results 51 to 60 of about 287,274 (269)
Analysis of Deflection in Visco-Thermoelastic Beam Resonators Subjected to Harmonic Loading
International Journal of Applied Mechanics and Engineering, 2022 This paper analyses the transverse deflection in a homogeneous, isotropic, visco-thermoelastic beam when subjected to harmonic load. The ends of the beam are considered at different boundary conditions (both axial ends clamped, both axial ends simply ...
Deepti Chopra, Prince Singh
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Quadrature Integration Techniques for Random Hyperbolic PDE Problems
Mathematics, 2021 In this paper, we consider random hyperbolic partial differential equation (PDE) problems following the mean square approach and Laplace transform technique. Randomness requires not only the computation of the approximating stochastic processes, but also
Rafael Company +2 more
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On the inversion of the Laplace transform (In Memory of Dimitris Gatzouras) [PDF]
arXiv, 2022 The Laplace transform is a useful and powerful analytic tool with applications to several areas of applied mathematics, including differential equations, probability and statistics. Similarly to the inversion of the Fourier transform, inversion formulae for the Laplace transform are of central importance; such formulae are old and well-known (Fourier ...
arxiv
Analytical calculation of the inverse nabla Laplace transform [PDF]
2020 Chinese Control And Decision Conference (CCDC), 2019 The inversion of nabla Laplace transform, corresponding to a causal sequence, is considered. Two classical methods, i.e., residual calculation method and partial fraction method are developed to perform the inverse nabla Laplace transform. For the first method, two alternative formulae are proposed when adopting the poles inside or outside of the ...
arxiv +1 more source
Mathematics, 2016 In a series of papers, we discussed the solution of Laplace’s differential equation (DE) by using fractional calculus, operational calculus in the framework of distribution theory, and Laplace transform.
Tohru Morita, Ken-ichi Sato
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On the inverse transform of Laplace transforms that contain (products of) the parabolic cylinder function [PDF]
Integral Transforms and Special Functions, 26:11,859-871,2015, 2015 The Laplace transforms of the transition probability density and distribution functions for the Ornstein-Uhlenbeck process contain the product of two parabolic cylinder functions, namely D_{v}(x)D_{v}(y) and D_{v}(x)D_{v-1}(y), respectively. The inverse transforms of these products have as yet not been documented.
arxiv +1 more source
On An Inversion Formula For The Laplace Transformation, II [PDF]
Canadian Journal of Mathematics, 1955 In an earlier paper (3) we discussed at some length a certain inversion operator for the Laplace transformation. IfI then the inversion operator is given byII ,and we showed that if v > — 1, then under certain conditions.
openaire +3 more sources
Computational Method for Specific Energy Loss by Fast Inverse Laplace Transform
IEEE Access, 2023 This study proposes a novel computational technique for specific energy loss for pulse incidence. Our method is based on a fast inverse Laplace transform (FILT) with an electromagnetic field solver in the complex frequency domain.
Seiya Kishimoto, Shinichiro Ohnuki
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Trends in Computational and Applied Mathematics, 2018 In this paper, a three-dimensional solution of the steady-state advection-diffusion equation is obtained applying the Generalized Integral Advection Diffusion Multilayer Technique (GIADMT), considering non-local closure for turbulent flow. Two different
Camila Pinto da Costa +2 more
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Associated transforms for solution of nonlinear equations
International Journal of Mathematics and Mathematical Sciences, 1991 Nonlinear multivariable differential or integrodifferential equations with terms of mixed dimensionality can be solved using multidimensional Laplace transform.
Joyati Debnath, Narayan C. Debnath
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