We consider adaptive time discretization methods for ordinary differential equations where one aims to control the error in a quantity of interest of the form J ( u ) = ∫ t 0 t e j ( u ( t ) ) ⅆ t , with j : ℝd → ℝ. In this setting we propose a new timestep controller based on local error estimates of the quantity of interest. The new method converges when the tolerance goes to zero.
Proceedings in Applied Mathematics & Mechanics – Wiley
Published: Jan 1, 2017
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