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An experimental comparison of a space-time multigrid method with PFASST for a reaction-diffusion problem

Benedusi, Pietro ; Minion, Michael L. ; Krause, Rolf

In: Computers and mathematics with applications, 2021, vol. 99, p. 162-170

We consider two parallel-in-time approaches applied to a (reaction) diffusion problem, possibly non-linear. In particular, we consider PFASST (Parallel Full Approximation Scheme in Space and Time) and space-time multigrid strategies. For both approaches, we start from an integral formulation of the continuous time dependent problem. Then, a collocation form for PFASST and a discontinuous ...

A simulated annealing approach to approximate Bayes computations

Albert, Carlo ; Künsch, Hans ; Scheidegger, Andreas

In: Statistics and Computing, 2015, vol. 25, no. 6, p. 1217-1232

An adaptive space-time Newton-Galerkin approach for semilinear singularly perturbed parabolic evolution equations

Amrein, Mario ; Wihler, Thomas P.

In: IMA Journal of Numerical Analysis, 2017, vol. 37, no. 4, p. 2004-2019

Escape of mass and entropy for diagonal flows in real rank one situations

Einsiedler, M. ; Kadyrov, S. ; Pohl, A.

In: Israel Journal of Mathematics, 2015, vol. 210, no. 1, p. 245-295

Center-stable manifold of the ground state in the energy space for the critical wave equation

Krieger, Joachim ; Nakanishi, Kenji ; Schlag, Wilhelm

In: Mathematische Annalen, 2015, vol. 361, no. 1-2, p. 1-50

On multiscale methods in Petrov-Galerkin formulation

Elfverson, Daniel ; Ginting, Victor ; Henning, Patrick

In: Numerische Mathematik, 2015, vol. 131, no. 4, p. 643-682

Exponential Decay of Correlations Implies Area Law

Brandão, Fernando ; Horodecki, Michał

In: Communications in Mathematical Physics, 2015, vol. 333, no. 2, p. 761-798

Cosmological evolution of the gravitational entropy of the large-scale structure

Marozzi, Giovanni ; Uzan, Jean-Philippe ; Umeh, Obinna ; Clarkson, Chris

In: General Relativity and Gravitation, 2015, vol. 47, no. 10, p. 1-19

Optimal A Priori Discretization Error Bounds for Geodesic Finite Elements

Grohs, Philipp ; Hardering, Hanne ; Sander, Oliver

In: Foundations of Computational Mathematics, 2015, vol. 15, no. 6, p. 1357-1411

Equal Order Discontinuous Finite Volume Element Methods for the Stokes Problem

Kumar, Sarvesh ; Ruiz-Baier, Ricardo

In: Journal of Scientific Computing, 2015, vol. 65, no. 3, p. 956-978