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20242026
most citedSpace-time adaptive ADER-DG finite element method with LST-DG predictor and a posteriori sub-cell WENO finite-volume limiting for simulation of non-stationary compressible multicomponent reactive flows

10 citations · 22 across the 8 of their papers we have counts for

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physics.flu-dyn2026

Theory and internal structure of ADER-DG method for partial differential equations

I. S. Popov

Highly accurate stability boundary values for the ADER-DG method are obtained for arbitrary degrees of basis polynomials. In the linear case, stability is violated precisely wh…

math.NA2026

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

I. S. Popov

Improved local numerical solution for the ADER-DG numerical method with a local DG predictor for solving the initial value problem for a first-order ODE system is proposed. The imp…