✦ LIBER ✦

Cubic Spline-Projection Method for Two-Dimensional Integral Equations of Scattering Theory

✍ Scribed by D. Eyre

Publisher: Elsevier Science
Year: 1994
Tongue: English
Weight: 334 KB
Volume: 114
Category: Article
ISSN: 0021-9991
DOI: 10.1006/jcph.1994.1144

No coin nor oath required. For personal study only.

✦ Synopsis

This paper investigates a projection method with cubic (B)-splines for solving two-dimensional Fredholm integral equations of the second kind that arise in scattering theory. Emphasis is placed on the relationship between collocation and Galerkin methods. A mesh grading procedure based on an equidistribution of the nodal points with respect to a measure that combines both the arc length and curvatures is investigated. A test of the numerical procedures is provided by solving the Faddeev integral equation for a model three-boson problem at both bound-state and zero scattering energies. (C) 1994 Academic Press. Inc.

📜 SIMILAR VOLUMES

A double-integral formulation of ambarzu

A double-integral formulation of ambarzumian's method for isotropic scattering in a two-dimensional, semi-infinite medium

✍ A.L. Crosbie; S.M. Shieh 📂 Article 📅 1989 🏛 Elsevier Science 🌐 English ⚖ 284 KB

An integral equation method for the nume

An integral equation method for the numerical solution of a two-dimensional vertical jet under gravity

✍ T.H Lim 📂 Article 📅 1980 🏛 Elsevier Science 🌐 English ⚖ 403 KB

A solution method for two-dimensional po

A solution method for two-dimensional potential flow about bodies with smooth surfaces by direct use of the boundary integral equation

✍ Yang, S. A. 📂 Article 📅 1999 🏛 John Wiley and Sons 🌐 English ⚖ 123 KB 👁 2 views

This work presents a novel boundary integral method to treat the two-dimensional potential ¯ow due to a moving body with the Lyapunov surface. The singular integral equations are derived in singularity-free form by applying the Gauss ¯ux theorem and the property of the equipotential body. The modi®e