9-11 July 2018
Ho Chi Minh City University of Science
Asia/Ho_Chi_Minh timezone

Numerical solution of a class of delay differential-algebraic equations by half-explicit methods

9 Jul 2018, 11:00
1h
Ho Chi Minh City University of Science

Ho Chi Minh City University of Science

227 Nguyễn Văn Cừ, Phường 4, T.P. Hồ Chí Minh

Speaker

Prof. Hoang Linh VU (Faculty of Mathematics - Mechanics and Informatics, Vietnam National University, Hanoi, Vietnam.)

Description

Delay differential-algebraic equations (DAEs) can be used for modeling real-life phenomena that involve simultaneously time-delay effect and constraints. It is also known that solving delay DAEs is more complicated than solving non-delay ones because interpolation errors for the solution in the past time may arise in addition to discretisation errors. Recently, we have investigated the efficient use of half-explicit methods for strangeness-free DAEs (without delay). In this talk, we propose and analyse some efficient half-explicit methods for a class of structured strangeness-free DAEs with constant delay. Convergence results for half-explicit linear multistep (HELM) methods and half-explicit Runge-Kutta (HERK) methods are obtained. Numerical experiments are also given for illustration.

Primary author

Prof. Hoang Linh VU (Faculty of Mathematics - Mechanics and Informatics, Vietnam National University, Hanoi, Vietnam.)

Presentation Materials

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