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math.NA2026

Monotone-based Numerical Schemes for Two-Dimensional Systems of Nonlocal Conservation Laws

Anika Beckers, Jan Friedrich

We present a general class of numerical schemes for two-dimensional systems of nonlocal conservation laws, which are based on utilizing well-known monotone numerical flux functions…

math.NA2025

Inverse obstacle scattering regularized by the tangent-point energy

Henrik Schumacher, Jannik Rönsch, Thorsten Hohage +1

We employ the so-called tangent-point energy as Tikhonov regularizer for ill-conditioned inverse scattering problems in 3D. The tangent-point energy is a self-avoiding functional o…

math.NA2025

Numerical Study of Random Kelvin-Helmholtz Instability

Alina Chertock, Michael Herty, Arsen S. Iskhakov +3

In this paper, we study random dissipative weak solutions of the compressible Euler equations in the Kelvin-Helmholtz (KH) instability. Motivated by the fact that weak entropy solu…

math.NA2025

Simulation of the magnetic Ginzburg-Landau equation via vortex tracking

Thiago Carvalho Corso, Gaspard Kemlin, Christof Melcher +1

This paper deals with the numerical simulation of the 2D magnetic time-dependent Ginzburg-Landau (TDGL) equations in the regime of small but finite (inverse) Ginzburg-Landau parame…

math.NA2025

Development of a Model Order Reduced Arbitrary Lagrangian Eulerian (MORALE) formulation for structures subjected to dynamic moving loads

Atul Anantheswar, Jannick Kehls, Ines Wollny +3

In recent developments, it has been demonstrated that the Arbitrary Lagrangian Eulerian (ALE) formulation can be utilized to improve computational efficiency, when simulating the r…

math.NA2025★ 1 cited

Adaptive hyper-reduction of non-sparse operators: application to parametric particle-based kinetic plasma models

Cecilia Pagliantini, Federico Vismara

This paper proposes an adaptive hyper-reduction method to reduce the computational cost associated with the simulation of parametric particle-based kinetic plasma models, specifica…