An improved local solution for the ADER-DG DG predictor converges one order higher than the original, is continuous at nodes, and applies to DAEs with rigorous proofs.
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Improving the local solution of the DG predictor of the ADER-DG method for solving systems of ordinary differential equations and its applicability to systems of differential-algebraic equations
An improved local solution for the ADER-DG DG predictor converges one order higher than the original, is continuous at nodes, and applies to DAEs with rigorous proofs.