Results 41 to 50 of about 137,521 (152)

The accurate numerical inversion of laplace transforms [PDF]

, 1976
Inversion of almost arbitrary Laplace transforms is effected by trapezoidal integration along a special contour. The number n of points to be used is one of several parameters, in most cases yielding absolute errors of order 10-7 for n = 10, 10-11 for n
Tablot, A
core  

Continuous feedback fluid queues [PDF]

, 2003
We investigate a fluid buffer which is modulated by a stochastic background process, while the momentary behavior of the background process depends on the current buffer level in a continuous way. Loosely speaking the feedback is such that the background
Foreest, N.D. van, Mandjes, M.R.H., Scheinhardt, W.R.W.   +2 more
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Implementation of the Combined--Nonlinear Condensation Transformation

, 2002
We discuss several applications of the recently proposed combined nonlinear-condensation transformation (CNCT) for the evaluation of slowly convergent, nonalternating series.
Abe, Abe, Aksenov, Bailey, Bailey, Bailey, Bailey, Bailey, Baratella, Bateman, Blaisdell, Boersma, Bromwich, Champernowne, Daniel, Darwin, Dempsey, Dempsey, Denisov, Doray, Drake, Fisher, Forrey, Gamow, Gautschi, Gerhard Soff, Gnedenko, Good, Haywood, Herdan, Homeier, Jens Becher, Jentschura, Jentschura, Jentschura, Jentschura, Jentschura, Jentschura, Jentschura, Johnson, Karlin, Knopp, Konopka, Kulasekera, Levin, Macdonald, Mandelbrot, Mantegna, Martindale, Michael A. Savageau, Mohr, Olver, Pachucki, Peter J. Mohr, Sergej V. Aksenov, Sidi, Simon, Truesdell, Tsallis, Tsallis, Ulrich D. Jentschura, van Wijngaarden, Weniger, Weniger, Williams, Wolfram, Yule, Zipf, Zörnig   +68 more
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Boundary integral equation analysis for suspension of spheres in Stokes flow

, 2018
We show that the standard boundary integral operators, defined on the unit sphere, for the Stokes equations diagonalize on a specific set of vector spherical harmonics and provide formulas for their spectra.
Corona, Eduardo, Veerapaneni, Shravan
core   +1 more source

Sumudu decomposition method with non-singular kernel operators for solving time fractional Whitham-Broer-Kaup equations

Boundary Value Problems
This paper presents an analytical solution framework for the coupled fractional Whitham–Broer–Kaup (FWBK) equations using the Sumudu transform (ST) and decomposition method (DM), where the fractional derivatives of Atangana–Baleanu in Caputo sense (ABC ...
Shams A. Ahmed, Mohammed G. S. Al-Safi, Rasool Shah, Anis Mohamed, Abdelgabar Adam Hassan, Adam Zakria, Ahmed Yahya   +6 more
doaj   +1 more source

On computation of solution for (2+1) dimensional fractional order general wave equation

Partial Differential Equations in Applied Mathematics
In this research article, we handle a class of (2+1) dimensional wave equations under fractional-order derivatives using an iterative integral transform due to Laplace. The concerned derivative is taken in the Caputo’s sense.
Samia Bushnaq, Atta Ullah, Hussam Alrabaiah   +2 more
doaj   +1 more source

An Efficient Nonlinear Transformation for the Numerical Computation of the Singular Integrals Appearing in the 2-D Boundary Element Method

, 1990
We discuss several methods, based on coordinate transformations, for the evaluation of singular and quasisingular integrals in the direct Boundary Element Method. An intrinsec error of some of these methods is detected. Two new transformations are suggested which improve on those currently available.
Alarcón Álvarez, Enrique, Doblaré Castellano, Manuel, Sanz Serna, Jesús María   +2 more
openaire   +2 more sources

Finite Integration Method with Chebyshev Expansion for Shallow Water Equations over Variable Topography

Mathematics
The shallow water equations (SWEs) model fluid flow in rivers, coasts, and tsunamis. Their nonlinearity challenges analytical solutions. We present a numerical algorithm combining the finite integration method with Chebyshev polynomial expansion (FIM-CPE)
Ampol Duangpan, Ratinan Boonklurb, Lalita Apisornpanich, Phiraphat Sutthimat   +3 more
doaj   +1 more source

Nonlinear Fourier analysis for discontinuous conductivities: computational results

, 2014
Two reconstruction methods of Electrical Impedance Tomography (EIT) are numerically compared for nonsmooth conductivities in the plane based on the use of complex geometrical optics (CGO) solutions to D-bar equations involving the global uniqueness ...
Astala, Kari, Päivärinta, Lassi, Reyes, Juan Manuel, Siltanen, Samuli   +3 more
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Numerical solution of scattering problems using a Riemann--Hilbert formulation [PDF]

, 2019
A fast and accurate numerical method for the solution of scalar and matrix Wiener--Hopf problems is presented. The Wiener--Hopf problems are formulated as Riemann--Hilbert problems on the real line, and a numerical approach developed for these problems ...
Luca, Elena, Smith, Stefan G. Llewellyn
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