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CORR
2011
Springer
150views Education» more  CORR 2011»
12 years 11 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
PC
2010
145views Management» more  PC 2010»
13 years 2 months ago
GPU computing with Kaczmarz's and other iterative algorithms for linear systems
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...
FOCM
2010
143views more  FOCM 2010»
13 years 2 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
APPML
2007
95views more  APPML 2007»
13 years 4 months ago
On the solvability of two-point, second-order boundary value problems
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...
Matthew Rudd, Christopher C. Tisdell
AMC
2007
93views more  AMC 2007»
13 years 4 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
GMP
2008
IEEE
141views Solid Modeling» more  GMP 2008»
13 years 5 months ago
Variational Skinning of an Ordered Set of Discrete 2D Balls
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...
HYBRID
2001
Springer
13 years 8 months ago
Robust Controller Synthesis for Hybrid Systems Using Modal Logic
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...
Thomas Moor, Jennifer M. Davoren
EMSOFT
2001
Springer
13 years 8 months ago
Some Synchronization Issues When Designing Embedded Systems from Components
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...
Albert Benveniste
HYBRID
2004
Springer
13 years 9 months ago
Dynamic Partitioning of Large Discrete Event Biological Systems for Hybrid Simulation and Analysis
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...
Natasha A. Neogi
GIAE
2004
Springer
136views Mathematics» more  GIAE 2004»
13 years 9 months ago
Implicit Reduced Involutive Forms and Their Application to Engineering Multibody Systems
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...