Topic
Improper integral
About: Improper integral is a research topic. Over the lifetime, 1776 publications have been published within this topic receiving 25975 citations.
Papers published on a yearly basis
1 / 3
Papers
TL;DR: In this paper, a pair of Gauss-Chebyshev integration formulas for singular integrals are developed and a simple numerical method for solving a system of singular integral equations is described.
Abstract: In this paper a pair of Gauss-Chebyshev integration formulas for singular integrals are developed. Using these formulas a simple numerical method for solving a system of singular integral equations is described. To demonstrate the effectiveness of the method, a numerical example is given. In order to have a basis of comparison, the example problem is solved also by using an alternate method.
1,413 citations
Book•
1 Jan 1971
TL;DR: In this paper, the authors present a variety of techniques with extensive examples for solving boundary value problems using integral equation methods, and an extended bibliography is provided for use on a beginning graduate-level course in the solution of problems.
Abstract: Intended for use on a beginning graduate-level course in the solution of problems using integral equation methods, this second edition presents a variety of techniques with extensive examples. Boundary value problems are emphasized, and there is an extended bibliography.
1,302 citations
TL;DR: In this paper, the stochastic integral defined by Skorohod in [24] of a possibly anticipating integrand, as a function of its upper limit, was studied and an extended Ito formula was established.
Abstract: We study the stochastic integral defined by Skorohod in [24] of a possibly anticipating integrand, as a function of its upper limit, and establish an extended Ito formula. We also introduce an extension of Stratonovich's integral, and establish the associated chain rule. In all the results, the adaptedness of the integrand is replaced by a certain smoothness requirement.
576 citations
TL;DR: In this paper, a path independent contour integral formula for the distinct calculation of combined mode stress intensity factors in linear plane elasticity problems is presented, based on a Somigliana type singular integral representation and is easily appended to existing finite element computer codes.
Abstract: A path independent contour integral formula for the distinct calculation of combined mode stress intensity factors in linear plane elasticity problems is presented. The method is based on a Somigliana type singular integral representation and is easily appended to existing finite element computer codes. Numerical results to three problems with known perturbation solutions are given and demonstrate the accuracy and stability of the method.
391 citations
Book•
1 Jan 1983
307 citations
Related Topics (5)
Performance Metrics
| Year | Papers |
|---|---|
| 2025 | 1 |
| 2024 | 2 |
| 2023 | 8 |
| 2022 | 11 |
| 2021 | 8 |
| 2020 | 9 |