We present an XML-based simulation authoring environment. The proposed description language allows to describe mathematical objects such as systems of ordinary differential equat...
The graphics processing unit (GPU) is used to solve large linear systems derived from partial differential equations. The differential equations studied are strongly convection-...
Joseph M. Elble, Nikolaos V. Sahinidis, Panagiotis...
B-series are a fundamental tool in practical and theoretical aspects of numerical integrators for ordinary differential equations. A composition law for B-series permits an elega...
We gain solvability to a system of nonlinear, second-order ordinary differential equations subject to a range of boundary conditions. The ideas involve differential inequalities...
Moving averages of the solution of an initial value problem for a system of ordinary differential equations are used to extract the general behavior of the solution without follow...
Abstract. This paper considers the problem of computing an interpolating skin of a ordered set of discrete 2D balls. By construction, the skin is constrained to be C1 continuous, a...
Gregory G. Slabaugh, Gozde B. Unal, Tong Fang, Jar...
Abstract. In this paper, we formulate and robustly solve a quite general class of hybrid controller synthesis problems. The type of controller we investigate is the switching contr...
Abstract This paper is sort of a confession. Issues of synchrony, asynchrony, and synchronization, arise frequently in designing embedded systems from components, like everyone I k...
Abstract. Biological systems involving genetic reactions are large discrete event systems, and often contain certain species that occur in small quantities, and others that occur i...
Abstract. The RifSimp package in Maple transforms a set of differential equations to Reduced Involutive Form. This paper describes the application of RifSimp to challenging real-w...
Wenqin Zhou, David J. Jeffrey, Gregory J. Reid, Ch...