Merge pull request #917 from Parallel-in-Time/bibtex-bibbot-916-d69a96e

pint.bib updates

Author: pancetta

_bibliography/pint.bib

@@ -7572,6 +7572,15 @@ @unpublished{EggerEtAl2025
 	year = {2025},
 }
 
+@unpublished{EngwerEtAl2025,
+	abstract = {High order methods have shown great potential to overcome performance issues of simulations of partial differential equations (PDEs) on modern hardware, still many users stick to low-order, matrixbased simulations, in particular in porous media applications. Heterogeneous coefficients and low regularity of the solution are reasons not to employ high order discretizations. We present a new approach for the simulation of instationary PDEs that allows to partially mitigate the performance problems. By reformulating the original problem we derive a parallel in time time integrator that increases the arithmetic intensity and introduces additional structure into the problem. By this it helps accelerate matrix-based simulations on modern hardware architectures. Based on a system for multiple time steps we will formulate a matrix equation that can be solved using vectorised solvers like Block Krylov methods. The structure of this approach makes it applicable for a wide range of linear and nonlinear problems. In our numerical experiments we present some first results for three different PDEs, a linear convection-diffusion equation, a nonlinear diffusion-reaction equation and a realistic example based on the Richards' equation.},
+	author = {Christian Engwer and Alexander Schell and Nils-Arne Dreier},
+	howpublished = {arXiv:2504.02117v1 [math.NA]},
+	title = {Vectorised Parallel in Time methods for low-order discretizations with application to Porous Media problems},
+	url = {http://arxiv.org/abs/2504.02117v1},
+	year = {2025},
+}
+
 @article{FungEtAl2025,
 	author = {Fung, Po Yin and Hon, Sean Y.},
 	doi = {10.1016/j.camwa.2025.01.019},