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20222026
most citedExotic B-series and S-series: algebraic structures and order conditions for invariant measure sampling

4 citations · 5 across the 8 of their papers we have counts for

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Showing 2026 · math.NAShow all

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math.NA2026

Convergence analysis of generalized modified splitting methods using multi-index series

Eugen Bronasco, Mechthild Thalhammer

We consider splitting methods for partial differential equations involving unbounded operators. For non-time-reversible dynamics, such as dissipative systems, negative splitting co…

math.NA2026

Backward error analysis for matrix discretizations of 2-D Euler equations

Eugen Bronasco, Klas Modin

We introduce a formalism of Lie--Poisson reduction of Butcher series. The corresponding forest momentum map allows for describing backward error analysis of isospectral symplectic…

math.NA2026

Order jumps in Spectral Deferred Corrections

Eugen Bronasco, Joscha Fregin, Daniel Ruprecht +1

Spectral deferred corrections (SDC) are time-stepping schemes were a low-order integrator is used iteratively to produce a higher order numerical approximation. SDC methods are wel…