This paper is devoted to the numerical solution of the axially symmetric linear sloshing problem. A mathematical model of linear sloshing in a tank filled by an inviscid incompressible liquid is ...

We present a method for solving the linear integral equation \begin {equation*}\int^T_0 R(\exp (-|x - y|)f(y) dy = S(\exp(-|t - x|)), 0 \leqq x \leqq T\end {equation*} when R and S are given by power ...

Integral equations in various scientific theories and their relation to differential equations. Methods of solving linear problems with Hilbert Schmidt, Cauchy, and Wiener-Hopf type kernels; ...

THE subject of integral equations has been much neglected in university teaching in Great Britain, partly because of the scarcity of text-books suited to the needs of the normal student of mathematics ...

Studies properties and solutions of partial differential equations. Covers methods of characteristics, well-posedness, wave, heat and Laplace equations, Green's functions, and related integral ...

Grade school math students are likely familiar with teachers admonishing them not to just guess the answer to a problem. But a new proof establishes that, in fact, the right kind of guessing is ...