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A new computational method for Laplace transforms by decomposition method
Applied Mathematics and Computation, 2004zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Esmail Babolian +2 more
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On the use of the Laplace transform in local correlation methods
Physical Chemistry Chemical Physics, 2008The applicability of the Laplace transform ansatz of Almlöf in the context of local correlation methods with a priori restricted sets of wavefunction parameters is explored. A new local MP2 method based on the Laplace transform ansatz is described, its relation to the local MP2 method based on the Pulay ansatz is elucidated, and its accuracy and ...
Danylo, Kats +2 more
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2017
Engineers try to develop techniques for analyzing systems. Such systems are modeled by ODEs. Laplace transformation (LT), turning differential equations into algebraic equations, greatly simplifies the solution process. Laplace transform is an example of a broader class of transforms known as integral transforms. One uses the LT to transform the system
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Engineers try to develop techniques for analyzing systems. Such systems are modeled by ODEs. Laplace transformation (LT), turning differential equations into algebraic equations, greatly simplifies the solution process. Laplace transform is an example of a broader class of transforms known as integral transforms. One uses the LT to transform the system
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2016
This chapter is devoted on applications of the Laplace transform on time scales to dynamic equations, generalized Volterra integral equations and generalized Volterra integro-differential equations.
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This chapter is devoted on applications of the Laplace transform on time scales to dynamic equations, generalized Volterra integral equations and generalized Volterra integro-differential equations.
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An Improved Method for Numerical Inversion of Laplace Transforms
SIAM Journal on Scientific and Statistical Computing, 1982An improved procedure for numerical inversion of Laplace transforms is proposed based on accelerating the convergence of the Fourier series obtained from the inversion integral using the trapezoidal rule. When the full complex series is used, at each time-value the epsilon-algorithm computes a .(trigonometric) Pade approximation which gives better ...
De Hoog, F. R. +2 more
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2001
Laplace transforms are one of a class of “operational methods” that are useful for solving differential equations, primarily equations with constant coefficients. The hallmark of operational methods is supposed to be that a “hard” problem is replaced by an “easier” equivalent calculation.
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Laplace transforms are one of a class of “operational methods” that are useful for solving differential equations, primarily equations with constant coefficients. The hallmark of operational methods is supposed to be that a “hard” problem is replaced by an “easier” equivalent calculation.
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An efficient method of numerical inversion of Laplace Transforms
Computing, 1967TheCooley-Tukey algorithm for the calculation of complexFourier Series is applied to the numerical inversion of Laplace Transforms in which the original function is expanded into Laguerre polynomials.
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A Laplace Transform-Based Method to Stochastic Path Finding
2009 IEEE International Conference on Communications, 2009Finding the most likely path satisfying a requested additive Quality-of-Service (QoS) value, such as delay, when link metrics are defined as random variables by known probability distributions is NP-Hard [1]. We transform the probability distributions into the Laplace domain, find the Laplace Transform of their convolutions and numerically inverse to ...
Suleyman Uludag +4 more
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A Regularization Method for the Numerical Inversion of the Laplace Transform
SIAM Journal on Numerical Analysis, 1993To invert the Laplace transform \(L[f] = \int^ \infty_ 0 f(t)\exp(- st)dt = u(s)\), the author treats \(L\) as the operator from the space \(C_{0K} = \{f(t) \in C[0,\infty)\mid \text{supp }f\subset [0,K]\}\), \(K > 0\), into \(L^ 2(0,\infty)\). The inversion problem remains to be ill- posed between these spaces.
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The Laplace Transformation Method in Elementary Circuit Theory
The Mathematical Gazette, 19401. Heaviside’s operational method has for some time been in fairly general use among engineers for solving problems in circuit theory, and appears in most of their textbooks. The average man who has read these seems able to manipulate the “expansion theorem” and to solve problems in which E.M.F is applied to an initially “dead” circuit, but he is not ...
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