NA
2010
12 years 11 months ago
2010
The defect of a continuous approximate solution to an ODE is the amount by which that approximation fails to satisfy the ODE. A number of studies have explored the use of asymptot...
CDC
2010
IEEE
12 years 11 months ago
2010
IEEE
Switched dynamical systems have shown great utility in modeling a variety of systems. Unfortunately, the determination of a numerical solution for the optimal control of such syste...
MOC
1998
13 years 4 months ago
1998
Abstract. We present here a mathematical analysis of a nonstandard difference method for the numerical solution of the time dependent GinzburgLandau models of superconductivity. Th...
MOC
2000
13 years 4 months ago
2000
Abstract. We propose a discretization scheme for a numerical solution of elliptic PDE's, based on local representation of functions, by their Taylor polynomials (jets). This s...
CN
2007
13 years 4 months ago
2007
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...
AMC
2007
13 years 4 months ago
2007
In this paper we present the method of lines for the numerical solution of a mathematical model for capillary formation in two space dimensions x,y. We study the tumor angiogenic ...
HYBRID
2007
Springer
13 years 8 months ago
2007
Springer
Abstract. This article proposes a new capture basin algorithm for computing the numerical solution of a class of Hamilton-Jacobi-Bellman (HJB) partial differential equations (PDEs)...
ICCS
2003
Springer
13 years 9 months ago
2003
Springer
The numerical solution of the time dependent wave equation in an unbounded domain generally leads to a truncation of this domain,
HYBRID
2010
Springer
13 years 11 months ago
2010
Springer
One of the oldest problems in the study of dynamical systems is the calculation of an optimal control. Though the determination of a numerical solution for the general nonconvex o...