Most people who deal with electronics have heard of the Fourier transform. That mathematical process makes it possible for computers to analyze sound, video, and it also offers critical math insights ...

Quarterly of Applied Mathematics, Vol. 70, No. 1 (March 2012), pp. 77-97 (21 pages) This note deals with the Laplace transforms of integrands of the form xλ Jα (ax) Jβ (bx), which are found in ...

Fast direct solvers have emerged as a transformative approach in the numerical resolution of integral equations pivotal to electromagnetic analysis. These methods are designed to resolve the dense ...

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 ...

This is a preview. Log in through your library . Abstract We consider a parametric family of integral equations of the first kind, which can be treated as index transformations and generalize ...

Reviews ordinary differential equations, including solutions by Fourier series. Physical derivation of the classical linear partial differential equations (heat, wave, and Laplace equations). Solution ...