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A posteriori error estimates of the numerical solution of ordinary differential equations
Sýkora, Martin ; Dolejší, Vít (advisor) ; Vlasák, Miloslav (referee)
The goal of this thesis is to examine discontinuous Galerkin method for solving ordinary differential equations of first order. After introducing the method, we choose a convenient basis of a space of test functions, which simplifies the calculations. Next we derive so called optimal step, using a posteriori error estimates. Finally, we compare the method with the optimal step to the method with a constant step in numerical experiments.

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