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most citedStability of Correction Procedure via Reconstruction With Summation-by-Parts Operators for Burgers' Equation Using a Polynomial Chaos Approach

34 citations · 322 across the 37 of their papers we have counts for

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math.NA2017★ 34 cited

Stability of Correction Procedure via Reconstruction With Summation-by-Parts Operators for Burgers' Equation Using a Polynomial Chaos Approach

Philipp Öffner, Jan Glaubitz, Hendrik Ranocha

In this paper, we consider Burgers' equation with uncertain boundary and initial conditions. The polynomial chaos (PC) approach yields a hyperbolic system of deterministic equation…