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NA
2010
104views more  NA 2010»
13 years 5 months ago
New interpolants for asymptotically correct defect control of BVODEs
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...
Wayne H. Enright, P. H. Muir
CDC
2010
IEEE
166views Control Systems» more  CDC 2010»
13 years 5 months ago
A numerical method for the optimal control of switched systems
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...
Humberto González, Ramanarayan Vasudevan, M...
MOC
1998
81views more  MOC 1998»
13 years 10 months ago
Discrete gauge invariant approximations of a time dependent Ginzburg-Landau model of superconductivity
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...
Qiang Du
MOC
2000
68views more  MOC 2000»
13 years 10 months ago
From formal numerical solutions of elliptic PDE's to the true ones
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...
Z. Wiener, Yosi Yomdin
CN
2007
142views more  CN 2007»
13 years 10 months ago
Performance modeling of epidemic routing
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...
AMC
2007
168views more  AMC 2007»
13 years 11 months ago
The method of lines for the numerical solution of a mathematical model for capillary formation: The role of tumor angiogenic fac
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 ...
Arzu Erdem, Serdal Pamuk
HYBRID
2007
Springer
14 years 2 months ago
Viability-Based Computations of Solutions to the Hamilton-Jacobi-Bellman Equation
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)...
Alexandre M. Bayen, Christian G. Claudel, Patrick ...
ICCS
2003
Springer
14 years 4 months ago
Transparent Boundary Conditions for Wave Propagation on Unbounded Domains
The numerical solution of the time dependent wave equation in an unbounded domain generally leads to a truncation of this domain,
Dorin-Cezar Ionescu, Heiner Igel
HYBRID
2010
Springer
14 years 5 months ago
A descent algorithm for the optimal control of constrained nonlinear switched dynamical systems
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...
Humberto González, Ramanarayan Vasudevan, M...