194 citations · 355 across the 12 of their papers we have counts for
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math.NA2017★ 21 cited
On the convergence of spectral deferred correction methods
Mathew F. Causley, David C. Seal
In this work we analyze the convergence properties of the Spectral Deferred Correction (SDC) method originally proposed by Dutt et al. [BIT, 40 (2000), pp. 241--266]. The framework…
math.NA2017
Implicit multiderivative collocation solvers for linear partial differential equations with discontinuous Galerkin spatial discretizations
Jochen Schütz, David C. Seal, Alexander Jaust
In this work, we construct novel discretizations for the unsteady convection-diffusion equation. Our discretization relies on multiderivative time integrators together with a novel…