Results 21 to 30 of about 537,126 (291)

Long Wavelength Coherency in Well Connected Electric Power Networks

open access: yesIEEE Access, 2022
We investigate coherent oscillations in large scale transmission power grids, where large groups of generators respond in unison to a distant disturbance. Such long wavelength coherent phenomena are known as inter-area oscillations.
Julian Fritzsch, Philippe Jacquod
doaj   +1 more source

Design of quadrature rules for Müntz and Müntz-logarithmic polynomials using monomial transformation [PDF]

open access: yes, 2009
A method for constructing the exact quadratures for Müntz and Müntz-logarithmic polynomials is presented. The algorithm does permit to anticipate the precision (machine precision) of the numerical integration of Müntz-logarithmic polynomials in terms of ...
Lombardi, Guido
core   +1 more source

Interpolation method for solving Volterra integral equations with weakly singular kernel using an advanced barycentric Lagrange formula

open access: yesAin Shams Engineering Journal, 2022
We presented an interpolation method for solving weakly singular Volterra integral equations of the second kind (SVK2). The method based on the barycentric Lagrange interpolation.. For the chosen nodes of the two singular kernel variables, we created two
E.S. Shoukralla   +3 more
doaj   +1 more source

Flows of singular vector fields and applications to fluid and kinetic equations [PDF]

open access: yes, 2015
Several physical phenomena arising in fluid dynamics and kinetic equations can be modeled by nonlinear transport PDE. Such quantities are the vorticity of a fluid, or the density of a collection of particles advected by a velocity field which is highly ...
Bohun, Anna
core   +1 more source

Asymptotics of integrodifferential models with integrable kernels II

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 2003
Nonlinear singularly perturbed Volterra integrodifferential equations with weakly singular kernels are investigated using singular perturbation methods, the Mellin transform technique, and the theory of fractional integration.
Angelina M. Bijura
doaj   +1 more source

On the singularities of weakly normal varieties

open access: yesManuscripta Mathematica, 1981
Among the weakly normal varieties (in the sense of Andreotti and Bombieri, [1]) are of particular interest those varieties such that the normalization morphism is unramified outside a subvariety of codimension not less than 2. We describe the singularities of these varieties (called here WN1) by means of analytic equations, tangent cones, analytic ...
CUMINO, Caterina, MANARESI M.
openaire   +3 more sources

Solution of a singular integral equation by a split-interval method

open access: yes, 2007
The article is available at http://www.math.ualberta.ca/ijnam/Volume-4-2007/No-1-07/2007-01-05.pdf. This article is not available through the Chester Digital RepositoryThis article discusses a new numerical method for the solution of a singular integral ...
Ford, Neville J.   +3 more
core   +2 more sources

Sign-Periodicity of Traces of Singular Moduli

open access: yesMathematics, 2013
Zagier proved that the generating functions of traces of singular values of Jm(z) are weight 3/2 weakly holomorphic modular forms. In this paper we prove that there is the sign-periodicity of traces of singular values of Jm(z).
Subong Lim, Dohoon Choi, Byungchan Kim
doaj   +1 more source

Computing Weakly Singular and Near-Singular Integrals Over Curved Boundary Elements

open access: yesSIAM Journal on Scientific Computing, 2022
We present algorithms for computing weakly singular and near-singular integrals arising when solving the 3D Helmholtz equation with curved boundary elements. These are based on the computation of the preimage of the singularity in the reference element's space using Newton's method, singularity subtraction, the continuation approach, and transplanted ...
Montanelli, Hadrien   +2 more
openaire   +3 more sources

On fully discrete collocation methods for solving weakly singular integral equations

open access: yesMathematical Modelling and Analysis, 2009
A popular class of methods for solving weakly singular integral equations is the class of piecewise polynomial collocation methods. In order to implement those methods one has to compute exactly certain integrals that determine the linear system to be ...
Raul Kangro, Inga Kangro
doaj   +1 more source

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