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PCS
2011
13 years 2 months ago
The parametric solution of underdetermined linear ODEs
The purpose of this paper is twofold. An immediate practical use of the presented algorithm is its applicability to the parametric solution of underdetermined linear ordinary di...
Thomas Wolf
CORR
2011
Springer
150views Education» more  CORR 2011»
13 years 2 months ago
XMLlab : multimedia publication of simulations applets using XML and Scilab
We present an XML-based simulation authoring environment. The proposed description language allows to describe mathematical objects such as systems of ordinary differential equat...
Stéphane Mottelet, André Pauss
FOCM
2010
143views more  FOCM 2010»
13 years 5 months ago
Algebraic Structures of B-series
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...
Philippe Chartier, Ernst Hairer, Gilles Vilmart
CN
2007
142views more  CN 2007»
13 years 7 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
93views more  AMC 2007»
13 years 7 months ago
Moving averages of solutions of ODEs
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...
Lawrence F. Shampine, Skip Thompson
AMC
2007
110views more  AMC 2007»
13 years 7 months ago
Pest regulation by means of impulsive controls
In this paper, we consider an integrated pest management model which is impulsively controlled by means of biological and chemical controls. These controls are assumed to act in a...
Paul Georgescu, Gheorghe Morosanu
LSSC
2001
Springer
13 years 11 months ago
Parallel Implementation of a Large-Scale 3-D Air Pollution Model
Abstract. Air pollution models can efficiently be used in different environmental studies. The atmosphere is the most dynamic component of the environment, where the pollutants ca...
Tzvetan Ostromsky, Zahari Zlatev
NAA
2004
Springer
152views Mathematics» more  NAA 2004»
14 years 17 days ago
Volterra Series and Numerical Approximations of ODEs
A numerical approach for solving systems of nonautonomous ordinary differential equations (ODEs) is proposed under suitable assumptions. This approach is based on expansion of the...
Nikolay Kirov, Mikhail Krastanov
EVOW
2007
Springer
14 years 1 months ago
Modeling the Shoot Apical Meristem in A. thaliana : Parameter Estimation for Spatial Pattern Formation
Understanding the self-regulatory mechanisms controlling the spatial and temporal structure of multicellular organisms represents one of the major challenges in molecular biology. ...
Tim Hohm, Eckart Zitzler
CMSB
2009
Springer
14 years 1 months ago
Probabilistic Approximations of Signaling Pathway Dynamics
Systems of ordinary differential equations (ODEs) are often used to model the dynamics of complex biological pathways. We construct a discrete state model as a probabilistic appro...
Bing Liu, P. S. Thiagarajan, David Hsu