INVESTIGADORES
LOTITO Pablo Andres
artículos
Título:
Improved Multistep Method With Non-Linear Corrections
Autor/es:
BORONI G.; LOTITO P. A; CLAUSSE A.
Revista:
The International Journal for Numerical Methods in Biomedical Engineering
Editorial:
JOHN WILEY & SONS LTD
Referencias:
Año: 2010 vol. 26 p. 574 - 586
ISSN:
2040-7939
Resumen:
A new semi-implicit class of multistep methods for stiff ordinary differential equations is presented. The general method is based in the application of estimation functions not only for the derivatives but also for the state variables, which permits the transformation of original system in a purely algebraic system using the solutions of previous steps. The novelty introduced is a non-linear correction for the estimation-function coefficients, which is deduced from a combined analysis of stability and convergence order. That is, the estimation function coefficients are recalculated in each time step. The convergence order of the resulting scheme is better than the equivalent linear multistep methods, while preserving A-stability. Numerical experiments are presented comparing the new method with BDF.
