A procedure is presented for obtaining rational approximations of the inverse Laplace transform. The procedure utilizes a series expansion, in powers of the transform parameter, used in conjunction ...

In this paper we investigate operators that map one or more probability distributions on the positive real line into another via their Laplace-Stieltjes transforms. Our goal is to make it easier to ...

The Applied Mathematics Program is open to those students who have earned a B.S. degree in engineering, science, or mathematics, provided that the student has completed a program in undergraduate ...

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

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 ...

Mathematical thinking is playing an increasingly dominant role in experimental design, data analysis, and the conceptual understanding of Life. Through reading a diversity of papers at the interface ...