Results 101 to 110 of about 145 (135)

Superconvergence of Hermite rule for hypersingular integrals on interval

International Journal of Computer Mathematics, 2013
In this paper, the composite Hermite rule for the computation of the hypersingular integrals on interval is studied and the error expansion is presented. The superconvergence result of the Hermite rule is derived, which is one order higher than general. At last, several numerical examples are provided to validate the theoretical analysis.
Qingli Zhao, Hongxing Rui, Jin Li 0010
openaire   +1 more source

Solution of a Hypersingular Integral Equation of the Second Kind

ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik, 1997
AbstractA straightforward analysis involving the complex function‐theoretic method is employed to determine the closed‐form solution of a special hypersingular integral equation of the second kind, and its known solution is recovered.
Chakrabarti, A, Mandal, BN, Basu, U, Banerjea, S   +3 more
openaire   +1 more source

Volume integration in the hypersingular boundary integral equation

Engineering Analysis with Boundary Elements, 2013
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Andress, James, Ye, Wenjing, Gray, Lenoard   +2 more
openaire   +3 more sources

Application to Hypersingular Integrals

1992
Because of the robustness and efficiency of the PART method with the log-L1 radial variable transformation, one is tempted to see how close one can let the source point xs approach the element surface (d→0) and still obtain the accurate value of the nearly singular integral.
openaire   +1 more source

HYPERSINGULAR INTEGRALS: HOW SMOOTH MUST THE DENSITY BE?

International Journal for Numerical Methods in Engineering, 1996
This is a very interesting paper that examines the conditions on the density \(f(t)\) for the hypersingular integrals \[ \int^B_A {f(t)\over (t- x)^n} dx,\qquad n= 1,2,\dots \] to exist. It is well known that it is sufficient that \(f(t)\) has a Hölder-continuous first derivative.
Martin, P. A., Rizzo, F. J.
openaire   +2 more sources

On Quadrature Formulae of Hypersingular Integrals

2000
Some quadrature formulae of hypersingular integrals are established and their estimate of remainder and convergence are also given.
Jin Yuan Du, Ji Cheng Hu
openaire   +1 more source

Numerical Solution of a Hypersingular Integral Equation on the Torus

Differential Equations, 2003
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Lifanov, I. K., Poltavskij, L. N.
openaire   +2 more sources

Investigation of Some Hypersingular Integral Equations on the Sphere

Differential Equations, 2001
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Zakharov, E. V., Lifanov, I. K., Lifanov, P. I.   +2 more
openaire   +1 more source

On the approximate computation of singular and hypersingular integrals

2000
The numerical integration of functions with strong singularities is discussed. Convergence and stability of the methods is studied. Practical applications are presented.
M. R. CAPOBIANCO, CRISCUOLO, GIULIANA, R. GIOVA   +2 more
openaire   +5 more sources

Hypersingular integral equations—past, present, future

Nonlinear Analysis: Theory, Methods & Applications, 2005
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openaire   +2 more sources