New method for solving differential equations

Dutch-sponsored mathematician Valeriu Savcenco has developed new methods for the numerical solution of ordinary differential equations. These so-called multirate methods are highly efficient for large systems, where some components exhibit more active behaviour than others within the same system.

Countless phenomena in various technological and scientific fields are formed by systems of ordinary differential equations. However for large systems of such equations, some components can exhibit more active behaviour than others.

Multirate methods can be a highly efficient approach for solving such problems numerically. In these methods a large time step can be taken for slowly varying components and small steps for components with a more rapid variation. Valeriu Savcenco discusses the design, analysis and experimental results of multirate methods for the numerical solution of ordinary differential equations.

This project is being carried out within the NWO Open Competition (now: Free Competition). The project is the first to have won the Peterich Prize. The Free Competition is intended for the best scientific project proposals that do not fall under the NWO themes.

Source: Netherlands Organization for Scientific Research


Explore further

Career differences main driver of wage inequality

Citation: New method for solving differential equations (2008, January 24) retrieved 16 July 2019 from https://phys.org/news/2008-01-method-differential-equations.html
This document is subject to copyright. Apart from any fair dealing for the purpose of private study or research, no part may be reproduced without the written permission. The content is provided for information purposes only.
0 shares

Feedback to editors

User comments

Please sign in to add a comment. Registration is free, and takes less than a minute. Read more