Energy consistent discontinuous Galerkin methods for the Navier-Stokes-Korteweg system. - Jan Giesselmann; Charalambos G. Makridakis; Tristan Pryer (Math. Comput., 2014)

Geometric error of finite volume schemes for conservation laws on evolving surfaces. - Jan Giesselmann; Thomas Müller 011 (Numerische Mathematik, 2014)

A Relative Entropy Approach to Convergence of a Low Order Approximation to a Nonlinear Elasticity Model with Viscosity and Capillarity. - Jan Giesselmann (SIAM J. Math. Anal., 2014)

A Posteriori Analysis of Discontinuous Galerkin Schemes for Systems of Hyperbolic Conservation Laws. - Jan Giesselmann; Charalambos G. Makridakis; Tristan Pryer (SIAM J. Numer. Anal., 2015)

A Posteriori Analysis of Fully Discrete Method of Lines Discontinuous Galerkin Schemes for Systems of Conservation Laws. - Andreas Dedner; Jan Giesselmann (SIAM J. Numer. Anal., 2016)

An a posteriori error analysis based on non-intrusive spectral projections for systems of random conservation laws. - Jan Giesselmann; Fabian Meyer; Christian Rohde (CoRR, 2019)

Error control for statistical solutions. - Jan Giesselmann; Fabian Meyer; Christian Rohde (CoRR, 2019)

Data-Driven Snapshot Calibration via Monotonic Feature Matching. - Neeraj Sarna; Jan Giesselmann; Peter Benner (CoRR, 2020)

A posteriori error estimates for wave maps into spheres. - Jan Giesselmann; Elena Mäder-Baumdicker (CoRR, 2020)

Formulation and convergence of the finite volume method for conservation laws on spacetimes with boundary. - Jan Giesselmann; Philippe G. LeFloch (Numerische Mathematik, 2020)

Convergence Analysis of Grad's Hermite Expansion for Linear Kinetic Equations. - Neeraj Sarna; Jan Giesselmann; Manuel Torrilhon (SIAM J. Numer. Anal., 2020)

On the convergence of the regularized entropy-based moment method for kinetic equations. - Graham W. Alldredge; Martin Frank 004; Jan Giesselmann (CoRR, 2021)

An asymptotic-preserving discretization scheme for gas transport in pipe networks. - Herbert Egger; Jan Giesselmann; Teresa Kunkel; Nora Philippi (CoRR, 2021)

Exponential synchronization of a nodal observer for a semilinear model for the flow in gas networks. - Martin Gugat; Jan Giesselmann; Teresa Kunkel (IMA J. Math. Control. Inf., 2021)

Residual Estimates for Post-processors in Elliptic Problems. - Andreas Dedner; Jan Giesselmann; Tristan Pryer; Jennifer K. Ryan (J. Sci. Comput., 2021)

Efficient wPINN-Approximations to Entropy Solutions of Hyperbolic Conservation Laws. - Aidan Chaumet; Jan Giesselmann (CoRR, 2022)

Model adaptation for hyperbolic balance laws. - Jan Giesselmann; Hrishikesh Joshi; Siegfried Müller; Aleksey Sikstel (CoRR, 2023)

Observer-based data assimilation for barotropic gas transport using distributed measurements. - Jan Giesselmann; Martin Gugat; Teresa Kunkel (CoRR, 2023)

A-posteriori error estimates for systems of hyperbolic conservation laws. - Jan Giesselmann; Aleksey Sikstel (CoRR, 2023)

Stability of step size control based on a posteriori error estimates. - Hendrik Ranocha; Jan Giesselmann (CoRR, 2023)

A posteriori error analysis of a positivity preserving scheme for the power-law diffusion Keller-Segel model. - Jan Giesselmann; Niklas Kolbe (CoRR, 2023)

Stability and asymptotic analysis for instationary gas transport via relative energy estimates. - Herbert Egger; Jan Giesselmann (Numerische Mathematik, 2023)

A posteriori error estimates for wave maps into spheres. - Jan Giesselmann; Elena Mäder-Baumdicker; David Jakob Stonner (Adv. Comput. Math., 2023)

A priori error estimates of Runge-Kutta discontinuous Galerkin schemes to smooth solutions of fractional conservation laws. - Fabio Leotta; Jan Giesselmann (CoRR, 2024)

Robust a posteriori error control for the Allen-Cahn equation with variable mobility. - Aaron Brunk; Jan Giesselmann; Maria Lukacova-Medvidova (CoRR, 2024)

Energy-consistent Petrov-Galerkin time discretization of port-Hamiltonian systems. - Jan Giesselmann; Attila Karsai; Tabea Tscherpel (CoRR, 2024)

Error analysis of a first-order DoD cut cell method for 2D unsteady advection. - Gunnar Birke; Christian Engwer; Jan Giesselmann; Sandra May (CoRR, 2024)

Numerical discretisation of hyperbolic systems of moment equations describing sedimentation in suspensions of rod-like particles. - Sina Dahm; Jan Giesselmann; Christiane Helzel (J. Comput. Phys., 2024)

An Observer for Pipeline Flow with Hydrogen Blending in Gas Networks: Exponential Synchronization. - Martin Gugat; Jan Giesselmann (SIAM J. Control. Optim., 2024)

A posteriori error control for a discontinuous Galerkin approximation of a Keller-Segel model. - Jan Giesselmann; Kiwoong Kwon (Adv. Comput. Math., 2024)

Theory of shifts, shocks, and the intimate connections to L2-type A posteriori error analysis of numerical schemes for hyperbolic problems. - Jan Giesselmann; Sam G. Krupa (Math. Comput., 2025)

A Posteriori Error Control for the Allen-Cahn Equation with Variable Mobility. - Aaron Brunk; Jan Giesselmann; Mária Lukácová-Medvidová (SIAM J. Numer. Anal., 2025)

A posteriori error control for a finite volume scheme for a cross-diffusion model of ion transport. - Arne Berrens; Jan Giesselmann (CoRR, 2025)

Convergence of hyperbolic approximations to higher-order PDEs for smooth solutions. - Jan Giesselmann; Hendrik Ranocha (CoRR, 2025)

A posteriori existence for the Keller-Segel model via a finite volume scheme. - Marc Hoffmann; Jan Giesselmann (CoRR, 2025)

A posteriori existence of strong solutions to the Navier-Stokes equations in 3D. - Aaron Brunk; Jan Giesselmann; Tabea Tscherpel (CoRR, 2025)

A posteriori analysis for nonlinear convection-diffusion systems. - Andreas Dedner; Jan Giesselmann; Kiwoong Kwon; Tristan Pryer (CoRR, 2025)