most citedA Neural Network based Shock Detection and Localization Approach for Discontinuous Galerkin Methods

65 citations · 97 across the 4 of their papers we have counts for

collaborators

5 papers

math.NA2021★ 17 cited

Two-derivative deferred correction time discretization for the discontinuous Galerkin method

Jonas Zeifang, Jochen Schuetz

In this paper, we use an implicit two-derivative deferred correction time discretization approach and combine it with a spatial discretization of the discontinuous Galerkin spectra…

math.NA2021★ 15 cited

Jacobian-free explicit multiderivative Runge-Kutta methods for hyperbolic conservation laws

Jeremy Chouchoulis, Jochen Schütz, Jonas Zeifang

Based on the recent development of Jacobian-free Lax-Wendroff (LW) approaches for solving hyperbolic conservation laws [Zorio, Baeza and Mulet, Journal of Scientific Computing 71:2…

math.NA2021

Parallel-in-time high-order multiderivative IMEX solvers

Jochen Schütz, David C. Seal, Jonas Zeifang

In this work, we present a novel class of parallelizable high-order time integration schemes for the approximate solution of additive ODEs. The methods achieve high order through a…

math.NA2020

A novel regularization strategy for the local discontinuous Galerkin method for level-set reinitialization

Fabian Föll, Christoph Müller, Jonas Zeifang +1

In this paper we propose a novel regularization strategy for the local discontinuous Galerkin method to solve the Hamilton-Jacobi equation in the context of level-set reinitializat…

math.NA2020★ 65 cited

A Neural Network based Shock Detection and Localization Approach for Discontinuous Galerkin Methods

Andrea D. Beck, Jonas Zeifang, Anna Schwarz +1

The stable and accurate approximation of discontinuities such as shocks on a finite computational mesh is a challenging task. Detection of shocks or strong discontinuities in the f…