From d95d1c3d6047853c8c0ae566bbc9a7528633b49f Mon Sep 17 00:00:00 2001 From: pancetta Date: Tue, 8 Apr 2025 05:57:52 +0000 Subject: [PATCH] updated pint.bib using bibbot --- _bibliography/pint.bib | 9 +++++++++ 1 file changed, 9 insertions(+) diff --git a/_bibliography/pint.bib b/_bibliography/pint.bib index 534f6f4f..5522917c 100644 --- a/_bibliography/pint.bib +++ b/_bibliography/pint.bib @@ -7572,6 +7572,15 @@ @unpublished{EggerEtAl2025 year = {2025}, } +@unpublished{EngwerEtAl2025, + abstract = {High order methods have shown great potential to overcome performance issues of simulations of partial differential equations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},