We study the complexity of randomized solution of initial value problems for systems of ordinary differential equations (ODE). The input data are assumed to be -smooth ( = r+ : th...
Iterated Runge-Kutta (IRK) methods are a class of explicit solution methods for initial value problems of ordinary differential equations (ODEs) which possess a considerable poten...
In this paper, we develop a rigorous, unified framework based on ordinary differential equations (ODEs) to study epidemic routing and its variations. These ODEs can be derived a...
Xiaolan Zhang, Giovanni Neglia, James F. Kurose, D...
In this paper we study the nonchaotic and chaotic behavior of all 3D conservative quadratic ODE systems with five terms on the right-hand side and one nonlinear term (5-1 systems...
Abstract. Embedded Runge-Kutta methods are among the most popular methods for the solution of non-stiff initial value problems of ordinary differential equations (ODEs). We investi...