(1877 - 1971)
Botánico. Destacado científico que dedicó su vida a estudiar e interpretar la naturaleza cubana y a buscar nuevas fuentes de riquezas naturales; su mayor aporte a la ciencia lo constituyen sus estudios acerca de las plantas medicinales.
Natural and Exact Sciences
2003 | “Methods of Local Lineality to approach ordinary and stochastic differential equations ".
Main executives entity: Cybernetic, Mathematics and Physics Institute (ICIMAF) (1)
Other entities: University of Havana (UH) (2), Instituto Superior Politécnico "José A Echeverria" (ISPJAE) (3), Catholic University of Chile (4), University of Tsukuba Japan (5), Institute of Statistical Mathematics Japan (6)
Main author: Juan Carlos Jiménez Sobrino, del (1).
Coauthors: From (2) Rolando Biscay Lirio, from (3) Luis Manuel Rodríguez Rodríguez, from (4) Carlos Mora, from (5) Isao Shoji and from (6) Tohru Ozaki.
Summary:

This work is a detailed theoretical study of lineality methods for the solution of ordinary and stochastic differential equations.

This type of equations usually appears in the solution of many current problems of scientific and technical interest, such as chaos and neurosciences.

As a result of this study the authors introduce new integrators that improve substantially the efficiency in the solution of differential equations by numeric methods.

The method developed is claimed in four articles in prestigious magazines such as Aplied Matematics and Computation, Applied Matematics Letters, Journal of Statistical Physics and Stocastic Analysis and Aplications.

The methods developed were already contained in a Handbook (Stocastic Analysis and Aplications of 2002), of international circulation, and this aspect should be highlighted.

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