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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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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…

math.NA2025

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

I. S. Popov

Investigation of the approximation properties, convergence, and stability of the ADER-DG method for solving an ODE system is carried out. The ADER-DG method is - and -stable…

math.NA2024★ 2 cited

High order ADER-DG method with local DG predictor for solutions of differential-algebraic systems of equations

I. S. Popov

A numerical method ADER-DG with a local DG predictor for solving a DAE system has been developed, which was based on the formulation of ADER-DG methods using a local DG predictor f…

math.NA2024★ 3 cited

Arbitrary high order ADER-DG method with local DG predictor for solutions of initial value problems for systems of first-order ordinary differential equations

I. S. Popov

An adaptation of the arbitrary high order ADER-DG numerical method with local DG predictor for solving the IVP for a first-order non-linear ODE system is proposed. The proposed num…