TU Darmstadt | Fachbereich Mathematik | Research Group Numerical Analysis and Scientific Computing

Research Group
Numerical Analysis and Scientific Computing

List of Recent Publications
Prof. Dr. Jan Giesselmann


List of Publications  |  List of Recent Publications  |  Last update: 13.03.2026 09:01.

Preprints (10)

2026
; ; and : "On the consistency of the Domain of Dependence cut cell stabilization", arXiv, 2026. [doi]
; ; ; ; and : "Gas Mixtures on Networks: Modeling, Simulation and Optimization", Technical report, TRR 154, 2026. [preprint]
; ; ; ; ; ; ; ; and : "A Catalog of Gas Network Models: PDEs, Coupling Conditions, and Numerical Schemes", Technical report, TRR154, 2026. [preprint]
and : "Convergence Analysis of a Fully Discrete Observer For Data Assimilation of the Barotropic Euler Equations", arXiv, 2026. [doi]
; ; and : "Justification of a Relaxation Approximation for the Navier-Stokes-Cahn-Hilliard System", arXiv, 2026. [doi]
; and : "A Structure Preserving Finite Volume Scheme for the Navier-Stokes-Korteweg Equations", arXiv, 2026. [doi]
2025
; and : "A posteriori existence of strong solutions to the Navier-Stokes equations in 3D", arXiv, 2025. [doi]
; ; and : "A posteriori analysis for nonlinear convection-diffusion systems", arXiv, 2025. [doi]
and : "A posteriori existence for the Keller-Segel model via a finite volume scheme", arXiv, 2025. [doi]
2023
and : "Regularity and long time behavior of a doubly nonlinear parabolic problem and its discretization", arXiv, 2023. [doi]

Refereed Articles (19)

2026
and : "A posteriori error control for a finite volume scheme for a cross-diffusion model of ion transport", ESAIM Math. Model. Numer. Anal., 2026. [doi] [preprint]
and : "Theory of shifts, shocks, and the intimate connections to $L^2$-type a posteriori error analysis of numerical schemes for hyperbolic problems", Math. Comp., 2026. [doi] [preprint]
and : "Convergence of hyperbolic approximations to higher-order PDEs for smooth solutions", SMAI J. Comp. Math., vol. 12, pp. 75–102, 2026. [doi] [preprint]
2025
; ; and : "Error analysis of a first-order DoD cut cell method for 2D unsteady advection", J. Sci. Comp., vol. 106, no. 1, 2025. [doi] [preprint]
; and : "A Posteriori Error Control for the Allen–Cahn Equation with Variable Mobility", SIAM J. Num. Anal., vol. 63, no. 4, pp. 1540-1560, 2025. [doi] [preprint]
and : "Extending relative entropy for Korteweg-type models with non-monotone pressure: large friction limit and weak-strong uniqueness", Comm. Math. Sci., vol. 23, no. 7, pp. 1983–1998, 2025. [doi] [preprint]
; and : "Energy-consistent Petrov-Galerkin time discretization of port-Hamiltonian systems", SMAI J. Comp. Math., vol. 11, pp. 335–367, 2025. [doi] [preprint]
and : "Identification of minimal number of measurements allowing synchronization of a nodal observer for the wave equation", ESAIM Control Optim. Calc. Var., vol. 31, no. 76, 2025. [doi] [preprint]
and : "A-posteriori error estimates for systems of hyperbolic conservation laws via computing negative norms of local residuals", IMA J. Numer. Anal., pp. drae111, 2025. [doi] [preprint]
2024
; and : "Numerical discretisation of hyperbolic systems of moment equations describing sedimentation in suspensions of rod-like particles", J. Comp. Phys., pp. 113162, 2024. [doi] [preprint]
and : "Improving Weak PINNs for Hyperbolic Conservation Laws: Dual Norm Computation, Boundary Conditions and Systems", SMAI J. Comput. Math., vol. 10, pp. 373–401, 2024. [doi] [preprint]
; and : "Observer-based data assimilation for barotropic gas transport using distributed measurements", Comm. Math. Sci., vol. 22, no. 8, pp. 2271-2309, 2024. [doi] [preprint]
and : "A posteriori error control for a Discontinuous Galerkin approximation of a Keller-Segel model", Adv. Comp. Math., vol. 50, no. 119, 2024. [doi] [preprint]
and : "An Observer for Pipeline Flow with Hydrogen Blending in Gas Networks: Exponential Synchronization", SIAM J. Control Optim., vol. 62, no. 4, pp. 2273-2296, 2024. [doi] [preprint]
and : "A priori error estimates of Runge Kutta discontinuous Galerkin schemes to smooth solutions of fractional conservation laws", M2AN Math. Model. Numer. Anal., vol. 58, no. 4, pp. 1301–1315, 2024. [doi] [preprint]
and : "Stability of step size control based on a posteriori error estimates", Comput. Sci. Eng., vol. 1, no. 1, 2024. [doi] [preprint]
; and : "Data-driven snapshot calibration via monotonic feature matching", Finite Elem. Anal. Des., vol. 230, pp. 104065, 2024. [doi]
and : "A posteriori error analysis of a positivity preserving scheme for the power-law diffusion Keller–Segel model", IMA J. Numer. Anal., pp. drae073, 2024. [doi] [preprint]
2022
; ; and : "An asymptotic-preserving discretization scheme for gas transport in pipe networks", IMA J. Numer. Anal., 2022. [doi] [preprint]

Book Chapters (2)

2025
; and : "Phase Field Modeling and Sharp Interface Limits of Multi-component Gas-Liquid Flows with Electrochemical Reactions and Phase Transition Effects", Chapter in Advances in Continuum Physics: In Memoriam Wolfgang Dreyer (Fuhrmann, Jürgen; Hömberg, Dietmar; Müller, Wolfgang H.; Weiss, Wolf, eds.), Springer Nature Switzerland, Cham, pp. 483–527, 2025. [doi] [preprint]
2024
; ; and : "Model Adaptation for Hyperbolic Balance Laws", Chapter in Hyperbolic Problems: Theory, Numerics, Applications. Volume II (Parés, Carlos; Castro, Manuel J.; Morales de Luna, Tomás; Muñoz-Ruiz, María Luz, eds.), Springer Nature Switzerland, pp. 73–83, 2024.
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