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Noori Y. Abdul-Hassan, Zainab J. Kadum and Ali Hasan Ali
In this paper, we propose a new numerical scheme based on a variation of the standard formulation of the Runge?Kutta method using Taylor series expansion for solving initial value problems (IVPs) in ordinary differential equations. Analytically, the accu...
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Sandile Motsa
This study presents a new variant of the hybrid block methods (HBMs) for solving initial value problems (IVPs). The overlapping hybrid block technique is developed by changing each integrating block of the HBM to incorporate the penultimate intra-step po...
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Peter Meisrimel and Philipp Birken
We consider initial value problems (IVPs) where we are interested in a quantity of interest (QoI) that is the integral in time of a functional of the solution. For these, we analyze goal oriented time adaptive methods that use only local error estimates....
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