Now showing items 1-7 of 7
Construction and study of local linearization adaptive codes for ordinary differential equationsConstrucción y estudio de códigos adaptativos de linealización local para ecuaciones diferenciales ordinarias
The aim of this work is to construct adaptive integrators for ordinary differential equations based on the Local Linearization method. Different orders of the involved Padé approximation are considered and their effect ...
Automatic differentiation and spectral projected gradient methods for optimal control problems
(Taylor & Francis LtdAbingdonInglaterra, 1998)
Lobatto deferred correction for stiff two-point boundary value problems
(Elsevier B.V., 1998-11-01)
An iterated deferred correction algorithm based on Lobatto Runge-Kutta formulae is developed for the efficient numerical solution of nonlinear stiff two-point boundary value problems. An analysis of the stability properties ...
Iterated deferred correction for linear two-point boundary value problems
(Soc Brasileira Matematica Aplicada & Computacional, 1996-01-01)
An analysis of iterated deferred correction based on various classes of implicit Runge-Kutta formulae is given. Out of different possibilities considered, it is shown that those based purely on Lobatto formulae have the ...
Integration Methods Used in Numerical Simulations of Electromagnetic Transients
(Institute of Electrical and Electronics Engineers (IEEE), 2011-12-01)
This paper made an analysis of some numerical integration methods that can be used in electromagnetic transient simulations. Among the existing methods, we analyzed the trapezoidal integration method (or Heun formula), ...