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, 2016
The inverse Laplace transform is one of the methods used to obtain time-domain electromagnetic (EM) responses in geophysics. The Gaver-Stehfest algorithm has so far been the most popular technique to compute the Laplace transform in the context of ...
Jianhui Li, C. Farquharson, Xiangyun Hu
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The inverse Laplace transform is one of the methods used to obtain time-domain electromagnetic (EM) responses in geophysics. The Gaver-Stehfest algorithm has so far been the most popular technique to compute the Laplace transform in the context of ...
Jianhui Li, C. Farquharson, Xiangyun Hu
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1998
The main applications of the Laplace transform are directed toward problems in which the time t is the independent variable. We shall therefore use this variable in this chapter. Let f(t) be a complex-valued function of the real variable t such that f(t)e -ct is abolutely integrable over 0 < t < ∞, where c is a real number.
Grant B. Gustafson, Calvin H. Wilcox
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The main applications of the Laplace transform are directed toward problems in which the time t is the independent variable. We shall therefore use this variable in this chapter. Let f(t) be a complex-valued function of the real variable t such that f(t)e -ct is abolutely integrable over 0 < t < ∞, where c is a real number.
Grant B. Gustafson, Calvin H. Wilcox
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On the Analytical and Numerical Properties of the Truncated Laplace Transform I
SIAM Journal on Numerical Analysis, 2015The Laplace Transform is frequently encountered in mathematics, physics, engineering, and other fields. However, the spectral properties of the Laplace Transform tend to complicate its numerical treatment; therefore, the closely related “Truncated ...
Roy R. Lederman, V. Rokhlin
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On two (p, q)-analogues of the Laplace transform
, 2017Two (p, q)-Laplace transforms are introduced and their relative properties are stated and proved. Applications are made to solve some (p, q)-linear difference equations.
P. N. Sadjang
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Journal of Chemical Physics, 2014
A multistate local CC2 response method for the calculation of analytic energy gradients with respect to nuclear displacements is presented for ground and electronically excited states.
Katrin Ledermüller, M. Schütz
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A multistate local CC2 response method for the calculation of analytic energy gradients with respect to nuclear displacements is presented for ground and electronically excited states.
Katrin Ledermüller, M. Schütz
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1966
Publisher Summary This chapter discusses the concept of Laplace transforms. In applying the method of Laplace transforms to the initial value problem, three main steps are undertaken. The first step transforms a hard problem into a relatively easy problem. Then the easy problem is solved by finding X.
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Publisher Summary This chapter discusses the concept of Laplace transforms. In applying the method of Laplace transforms to the initial value problem, three main steps are undertaken. The first step transforms a hard problem into a relatively easy problem. Then the easy problem is solved by finding X.
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1988
Publisher Summary This chapter discusses Laplace transforms. Solution of most electrical circuit problems can be reduced ultimately to the solution of differential equations. The use of Laplace transforms provides an alternative method for solving linear differential equations.
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Publisher Summary This chapter discusses Laplace transforms. Solution of most electrical circuit problems can be reduced ultimately to the solution of differential equations. The use of Laplace transforms provides an alternative method for solving linear differential equations.
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1999
In diesem Kapitel fuhren wir eine weitere Methode zur Losung von Anfangswertproblemen ein, die insbesondere bei linearen Differentialgleichungen mit konstanten Koeffizienten einsetzbar ist. So wie man durch Logarithmieren positiver reeller Zahlen die Rechenoperationen Multiplizieren und Potenzieren sowie die Umkehroperationen Dividieren und ...
Helmut Wegmann +3 more
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In diesem Kapitel fuhren wir eine weitere Methode zur Losung von Anfangswertproblemen ein, die insbesondere bei linearen Differentialgleichungen mit konstanten Koeffizienten einsetzbar ist. So wie man durch Logarithmieren positiver reeller Zahlen die Rechenoperationen Multiplizieren und Potenzieren sowie die Umkehroperationen Dividieren und ...
Helmut Wegmann +3 more
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2020
The Laplace transform is a linear operation that can be performed on functions of a single variable. For electronics, the transformation is taken from the time domain (the single variable is t) to the “s-domain” where s is a generalized complex frequency.
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The Laplace transform is a linear operation that can be performed on functions of a single variable. For electronics, the transformation is taken from the time domain (the single variable is t) to the “s-domain” where s is a generalized complex frequency.
openaire +2 more sources