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JC
2008
87views more  JC 2008»
13 years 9 months ago
The randomized complexity of initial value problems
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...
Stefan Heinrich, Bernhard Milla
EUROPAR
2007
Springer
14 years 4 months ago
Locality Optimized Shared-Memory Implementations of Iterated Runge-Kutta Methods
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...
Matthias Korch, Thomas Rauber
CN
2007
142views more  CN 2007»
13 years 9 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...
IJBC
2007
57views more  IJBC 2007»
13 years 9 months ago
Nonchaotic and Chaotic Behavior in Three-Dimensional Quadratic Systems: Five-One Conservative Cases
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...
Jack Heidel, Fu Zhang
EUROPAR
2006
Springer
14 years 1 months ago
Applicability of Load Balancing Strategies to Data-Parallel Embedded Runge-Kutta Integrators
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...
Matthias Korch, Thomas Rauber