3 papers
math.AP2018
The Multidimensional Damped Wave Equation: Maximal Weak Solutions for Nonlinear Forcing via Semigroups and Approximation
Joseph W Jerome
The damped nonlinear wave equation, also known as the nonlinear telegraph equation, is studied within the framework of semigroups and eigenfunction approximation. The linear semigr…
math.AP2017
A Tight Nonlinear Approximation Theory for Time Dependent Closed Quantum Systems
Joseph W. Jerome
The approximation of fixed points by numerical fixed points was presented in the elegant monograph of Krasnosel'skii et al. (1972). The theory, both in its formulation and implemen…
math.AP2017
Convergent Iteration in Sobolev Space for Time Dependent Closed Quantum Systems
Joseph W. Jerome
Time dependent quantum systems have become indispensable in science and its applications, particularly at the atomic and molecular levels. Here, we discuss the approximation of clo…