List questions from laplace-method

Published on 02 Jul 2016 - 13:13

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Real approximation to the maximum using Laplace's method integral

Published on 30 Nov 2013 - 12:41

1.7k

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Integral asymptotic expansion of $\int_0^{\pi/2} \exp(-xt^3\cos t)dt$ as $x \to \infty$

Published on 11 Feb 2014 - 19:10

187

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Find the Laplace approximation of $\frac{1}{2\pi} \int_{-\pi}^{\pi }e^{x\cos(\theta )}d \theta$ for $ x \to \infty$

Published on 09 Mar 2014 - 13:05

78

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Can you help me solve this block diagram?

Published on 10 Apr 2017 - 21:17

343

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Asymptotics: justification for abusing Laplace's method

Published on 14 Apr 2017 - 18:50

460

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Laplace's method for approximating integrals

Published on 16 Apr 2017 - 13:24

403

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Integral of log and exponential with power

Published on 08 May 2017 - 7:11

58

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Work out transfer function of dynamic process.

Published on 25 Jun 2017 - 14:50

175

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Computation of characteristic polynomial

Published on 30 Jun 2017 - 15:57

219

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Approximation of a Riemann sum (not really) by a Laplacian integral

Published on 09 Jul 2017 - 17:44

145

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Laplace distribution

Published on 25 Mar 2026 - 12:38

49

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Inverse Laplace for a something in sin form but with an addition power of two on the bottom

Published on 13 Nov 2017 - 0:14

158

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Assume that $f(t)$ and $tf(t)$ are bounded. $F(s)=\mathcal{L}(f(t))(s)$, show that $\mathcal{L}(tf(t))(s)=-F'(s)$.

Published on 25 Mar 2026 - 9:51

272

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Laplace method for $\int_0^1 e^{a(x-1)}\ln(-\ln(x)) \, dx$

Published on 17 Dec 2017 - 13:32

List Question

Laplace transform of $\int_{0}^\infty\frac{e^{-t}\sin^2t}{t}dt$

Real approximation to the maximum using Laplace's method integral

Integral asymptotic expansion of $\int_0^{\pi/2} \exp(-xt^3\cos t)dt$ as $x \to \infty$

Find the Laplace approximation of $\frac{1}{2\pi} \int_{-\pi}^{\pi }e^{x\cos(\theta )}d \theta$ for $ x \to \infty$

Can you help me solve this block diagram?

Asymptotics: justification for abusing Laplace's method

Laplace's method for approximating integrals

Integral of log and exponential with power

Work out transfer function of dynamic process.

Computation of characteristic polynomial

Approximation of a Riemann sum (not really) by a Laplacian integral

Laplace distribution

Inverse Laplace for a something in sin form but with an addition power of two on the bottom

Assume that $f(t)$ and $tf(t)$ are bounded. $F(s)=\mathcal{L}(f(t))(s)$, show that $\mathcal{L}(tf(t))(s)=-F'(s)$.

Laplace method for $\int_0^1 e^{a(x-1)}\ln(-\ln(x)) \, dx$

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