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AUTOMATICA
2002
95views more  AUTOMATICA 2002»
15 years 4 months ago
Series expansions for analytic systems linear in control
This paper presents a series expansion for the evolution of a class of nonlinear systems characterized by constant input vector fields. We present a series expansion that can be c...
Francesco Bullo
CORR
2002
Springer
80views Education» more  CORR 2002»
15 years 4 months ago
Behaviour-based Knowledge Systems: An Epigenetic Path from Behaviour to Knowledge
In this paper we expose the theoretical background underlying our current research. This consists in the development of behaviour-based knowledge systems, for closing the gaps bet...
Carlos Gershenson
MOC
1998
73views more  MOC 1998»
15 years 4 months ago
Efficient Runge-Kutta integrators for index-2 differential algebraic equations
Abstract. In seeking suitable Runge-Kutta methods for differential algebraic equations, we consider singly-implicit methods to which are appended diagonally-implicit stages. Metho...
J. C. Butcher, R. P. K. Chan
MOC
1998
144views more  MOC 1998»
15 years 4 months ago
Convergence of a random walk method for a partial differential equation
Abstract. A Cauchy problem for a one–dimensional diffusion–reaction equation is solved on a grid by a random walk method, in which the diffusion part is solved by random walk...
Weidong Lu
FOCM
2010
143views more  FOCM 2010»
15 years 3 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