Results 31 to 40 of about 6,568 (311)
International Journal of Mathematics and Mathematical Sciences, 1983 A numerical technique, first reported in 1979 in refs.[1] and [2], for the numerical evaluation of two-dimensional Cauchy-type principal-value integrals, is extended in this paper to include several cubature formlas of the Radau and Lobatto types.
P. S. Theocaris
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Mathematics, 2022 The analytically time integrable time-space domain (ATI-TSD) is discovered based on which the minimum time-space domain is identified for treatment on singularities in the three-dimensional time-domain boundary element method (3D TD-BEM) formulation.
Xiaofei Qin +3 more
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Singular integral operators associated to curves with rational components [PDF]
, 2008 We prove L-p(R-n),1 < p < infinity, bounds for[GRAPHICS]and[GRAPHICS]where R-j(t) = P-j(t)/Q(j)(t),j = 1,2...,n, are rational functions. Our bounds depend only on the degrees of the polynomials P-j, Q(j) and, in particular, they do not depend on ...
Folch-Gabayet, Magali, Wright, James
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SINGULAR INTEGRALS AND THE PRINCIPAL SERIES [PDF]
Proceedings of the National Academy of Sciences, 1969 The L 2 theory of singular integral operators on nilpotent Lie groups is studied, extending known results for IR n . The intertwining operators for the representations of the simple Lie groups of real rank one turn out to be of this type. As a result we
Knapp, A. W., Stein, Elias M.
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Mathematics, 2022 A localized virtual boundary element–meshless collocation method (LVBE-MCM) is proposed to solve Laplace and Helmholtz equations in complex two-dimensional (2D) geometries.
Xingxing Yue +3 more
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Weighted norm inequalities for a class of rough singular integrals
International Journal of Mathematics and Mathematical Sciences, 2005 Weighted norm inequalities are proved for a rough homogeneous singular integral operator and its corresponding maximal truncated singular operator.
H. M. Al-Qassem
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The finite part of divergent integrals with logarithmic factors
Mathematical Modelling and Analysis, 2011 The concepts of the finite part (f.p.) and analytic finite part (a.f.p.) of divergent integrals are defined in the situation where the singular function in the integral has a logarithmic factor.
Kaido Latt
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Organoids in pediatric cancer research
FEBS Letters, EarlyView.Organoid technology has revolutionized cancer research, yet its application in pediatric oncology remains limited. Recent advances have enabled the development of pediatric tumor organoids, offering new insights into disease biology, treatment response, and interactions with the tumor microenvironment.
Carla Ríos Arceo, Jarno Drost
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Numerical Quadrature for Singular Integrals on Fractals
, 2022 We present and analyse numerical quadrature rules for evaluating regular and singular integrals on self-similar fractal sets. The integration domain $\mathbb{R}^n$ is assumed to be the compact attractor of an iterated function system of contracting ...
Hewett, D. P. +6 more
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FEBS Letters, EarlyView.Fluorescent probes allow dynamic visualization of phosphoinositides in living cells (left), whereas mass spectrometry provides high‐sensitivity, isomer‐resolved quantitation (right). Their synergistic use captures complementary aspects of lipid signaling. This review illustrates how these approaches reveal the spatiotemporal regulation and quantitative
Hiroaki Kajiho +3 more
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