Results 251 to 260 of about 3,430 (271)
Some of the next articles are maybe not open access.
Numerical evaluation of two-dimensional Cauchy Principal Value integrals
Applied Mathematics and Computation, 2013zbMATH Open Web Interface contents unavailable due to conflicting licenses.
M. M. Nayak, Milu Acharya, B. P. Acharya
openaire +2 more sources
Principal values for the Cauchy transform and rectifiability
2013Given a complex measure \( {\nu} \in M {(\mathbb {R}^{d})}\) and a Calderon-Zygmund operator T, we write \( {\rm{p.v.}}T{\nu}(x) = \lim_{\varepsilon\rightarrow 0} T_{\varepsilon}{\nu}(x)\), whenever the limit exists.
openaire +1 more source
On the numerical evaluation of derivatives of Cauchy principal value integrals
Computing, 1981Quadrature rules for the approximate evaluation of derivatives of Cauchy principal value integrals (with respect to the free variable inside the integral) can be obtained by formal differentiations of the right sides of the corresponding quadrature rules (without derivatives). The justification of this method, under appropriate conditions, is presented
openaire +2 more sources
Path properties of Cauchy’s principal values related to local time
Studia Scientiarum Mathematicarum Hungarica, 2001Sample path properties of the Cauchy principal values of Brownian and random walk local times are studied. We establish LIL type results (without exact constants). Large and small increments are discussed. A strong approximation result between the above two processes is also proved.
Csáki, E. +3 more
openaire +1 more source
Fast Integration for Cauchy Principal Value Integrals of Oscillatory Kind
Acta Applicandae Mathematicae, 2012zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire +2 more sources
Cauchy Principal Value Equations on a Finite Interval
1991The first step in solving an integral equation that involves a Cauchy principal value integral is to express the integral and the unknown density in terms of the associated analytic function. The resulting equation poses a Riemann problem. In the physical contexts where such equations arise, the associated analytic function usually has a physical ...
openaire +1 more source
Sinc Quadratures for Cauchy Principal Value Integrals
1992Three types of SINC quadratures are surveyed for the evaluation of Cauchy principal value integrals ∫Γ F(t)dt/(t –x), x ∈ Γ, where Γ is an arc in the complex plane. Under suitable assumptions on F, the quadrature errors are of order , where N is the number of quadrature nodes and c is a positive constant independent of N. Special consideration is given
openaire +1 more source
The first negative moment in the sense of the Cauchy principal value
Statistics & Probability Letters, 2008zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire +1 more source
Principal Values of Cauchy Integrals, Rectifiable Measures and Sets
1991The extensive studies started by A. P. Calderon in the sixties and continued by many authors up today have revealed that the Cauchy integrals $$ {C_{\Gamma }}f(z) = \int_{\Gamma } {\frac{{f\left( \zeta \right)d\zeta }}{{\zeta - z}}} $$ behave very well on sufficiently regular, not necessarily smooth, curves F, see [CCFJR], [D] and [MT].
openaire +1 more source