The quest for purely virtual quanta: fakeons versus Feynman-Wheeler particles
Journal of High Energy Physics, 2020 The search for purely virtual quanta has attracted interest in the past. We consider various proposals and compare them to the concept of fake particle, or “fakeon”.
Damiano Anselmi
doaj +1 more source
THE EVALUATION OF CAUCHY PRINCIPAL VALUE INTEGRALS IN THE BOUNDARY ELEMENT METHOD - A REVIEW [PDF]
, 1991 In this paper several methods of dealing with Cauchy Principal Value integrals in advanced boundary element methods are discussed and compared. An attempt is made to present a comprehensive description of these methods in a unified, systematic manner. It
GUIGGIANI, MASSIMO
core +1 more source
Журнал Белорусского государственного университета: Математика, информатика, 2019 In the paper, computational schemes for solving the Cauchy problem for the singular integro-differential Prandtl equation with a singular integral over a segment of the real axis, understood in the sense of the Cauchy principal value, are constructed and
Galina A. Rasolko
doaj +1 more source
Principal values for the Cauchy integral and rectifiability [PDF]
Proceedings of the American Mathematical Society, 2000 We give a geometric characterization of those positive finite measures μ \mu
openaire +2 more sources
Cauchy–Dirichlet Problem to Semilinear Multi-Term Fractional Differential Equations
Fractal and Fractional, 2023 In this paper, we analyze the well-posedness of the Cauchy–Dirichlet problem to an integro-differential equation on a multidimensional domain Ω⊂Rn in the unknown u=u(x,t), Dtν0(ϱ0u)−Dtν1(ϱ1u)−L1u−∫0tK(t−s)L2u(x,s)ds=f(x,t)+g(u ...
Nataliya Vasylyeva
doaj +1 more source
Extrapolation Algorithm for Computing Multiple Cauchy Principal Value Integrals [PDF]
Mathematical Problems in Engineering, 2020 In this paper, the computation of multiple (including two dimensional and three dimensional) Cauchy principal integral with generalized composite rectangle rule was discussed, with the density function approximated by the middle rectangle rule, while the singular kernel was analytically calculated.
Jin Li, Yongling Cheng
openaire +1 more source
Significance tests for the wavelet cross spectrum and wavelet linear coherence [PDF]
Annales Geophysicae, 2008 This work attempts to develop significance tests for the wavelet cross spectrum and the wavelet linear coherence as a follow-up study on Ge (2007). Conventional approaches that are used by Torrence and Compo (1998) based on stationary background noise ...
Z. Ge
doaj +1 more source
On the uniform convergence of gaussian quadrature rules for Cauchy principal value integrals [PDF]
, 1989 : In a previous paper the authors proposed a modified Gaussian rule * m (wf;t)to compute the integral (wf;t) in the Cauchy principal value sense associated with the weightw, and they proved the convergence in closed sets contained in the integration ...
G. MASTROIANNI, CRISCUOLO, GIULIANA
core +1 more source
Numerical evaluation of Cauchy principal value integrals by means of nodal spline approximation
Journal of Numerical Analysis and Approximation Theory, 1998 Not available.
Caterina Dagnino, Elisabetta Santi
doaj +2 more sources
A GENERAL ALGORITHM FOR MULTIDIMENSIONAL CAUCHY PRINCIPAL VALUE INTEGRALS IN THE BOUNDARY ELEMENT METHOD [PDF]
, 1990 This paper presents a new general method for the direct evaluation of Cauchy principal value integrals in several dimensions, which is an issue of major concern in any boundary element method analysis in applied mechanics.
GUIGGIANI, MASSIMO, GIGANTE A.
core +1 more source