Results 21 to 30 of about 39,311 (153)

An efficient high-order Nystr\"om scheme for acoustic scattering by inhomogeneous penetrable media with discontinuous material interface [PDF]

, 2015
This text proposes a fast, rapidly convergent Nystr\"{o}m method for the solution of the Lippmann-Schwinger integral equation that mathematically models the scattering of time-harmonic acoustic waves by inhomogeneous obstacles, while allowing the ...
Anand, Akash, Kumar, B. V. Rathish, Pandey, Ambuj, Paul, Jagabandhu   +3 more
core   +2 more sources

Dynamic Instability Analysis of a Rotating Ship Shaft under a Periodic Axial Force by Discrete Singular Convolution

Shock and Vibration, 2015
Dynamic instability of a rotating ship shaft subjected to a periodic axial force is studied by using discrete singular convolution (DSC) with regularized Shannon’s delta kernel.
Wei Li, Zhiwei Song, Xuexia Gao, Zhigang Chen   +3 more
doaj   +1 more source

A unified approach for the solution of the Fokker-Planck equation

, 2000
This paper explores the use of a discrete singular convolution algorithm as a unified approach for numerical integration of the Fokker-Planck equation. The unified features of the discrete singular convolution algorithm are discussed.
(Qian L W, Brennan M J, Brey J J, Canuto C, Caroli B, Chang J S, Cox J C, Dahmen W, Dow J O, Ermak D L, Finlayson B A, Fornberg B, Forsythe G E, G W Wei, Hongler M O, Indira R, Jawerth B, Kadanoff L P, Kho T H, Kometani K, Kwok Y K, Larson E W, Muñoz M A, Qian L W, Risken H, Schult R L, Shizgal B, Suzuki M, Tian Y, Wei G W, Wong E   +30 more
core   +2 more sources

Variable fractional modeling of nonlinear Gilson–Pickering equation via discrete singular convolution method

Journal of Applied Mathematics and Computation
This paper exposes the precise soliton solutions of constant and variable order fractional for nonlinear Gilson-Pickering equation (GPE) via a novel numerical technique for the first time.
O. Ragb, M. S. Matbuly, Mostafa Inc, S. Rezapour, M. Salah   +4 more
semanticscholar   +1 more source

Numerical Methods for the Fractional Laplacian: a Finite Difference-quadrature Approach

, 2014
The fractional Laplacian $(-\Delta)^{\alpha/2}$ is a non-local operator which depends on the parameter $\alpha$ and recovers the usual Laplacian as $\alpha \to 2$.
Huang, Yanghong, Oberman, Adam
core   +1 more source

On the solution of the convolution equation with a sum-difference kernel

Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2015
The paper deals with the integral equations of the second kind with a sumdifference kernel. These equations describe a series of physical processes in a medium with a reflective boundary.
Ani G Barseghyan
doaj   +1 more source

A high-order Nystrom discretization scheme for boundary integral equations defined on rotationally symmetric surfaces

, 2011
A scheme for rapidly and accurately computing solutions to boundary integral equations (BIEs) on rotationally symmetric surfaces in R^3 is presented. The scheme uses the Fourier transform to reduce the original BIE defined on a surface to a sequence of ...
Abramowitz, Alpert, Atkinson, Bakr, Bremer, Briggs, Bruno, Cohl, Fleming, Gil, Guenther, Kapur, Kolm, Kress, Kuijpers, Martinsson, P. Young, P.G. Martinsson, Provatidis, Rizzo, S. Hao, Soenarko, Tsinopoulos, Wang   +23 more
core   +1 more source

Spectral measures associated with the factorization of the Lebesgue measure on a set via convolution [PDF]

, 2013
Let $Q$ be a fundamental domain of some full-rank lattice in ${\Bbb R}^d$ and let $\mu$ and $\nu$ be two positive Borel measures on ${\Bbb R}^d$ such that the convolution $\mu\ast\nu$ is a multiple of $\chi_Q$.
Gabardo, Jean-Pierre, Lai, Chun-Kit
core  

Introduction to 1-summability and resurgence [PDF]

, 2014
This text is about the mathematical use of certain divergent power series. The first part is an introduction to 1-summability. The definitions rely on the formal Borel transform and the Laplace transform along an arbitrary direction of the complex plane.
Sauzin, David
core  

Discretisation of regularity structures

, 2017
We introduce a general framework allowing to apply the theory of regularity structures to discretisations of stochastic PDEs. The approach pursued in this article is that we do not focus on any one specific discretisation procedure.
Erhard, Dirk, Hairer, Martin
core   +1 more source