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: 13.08.2025 22:26.

Preprints (5)

2025
and : "A posteriori error control for a finite volume scheme for a cross-diffusion model of ion transport", arXiv, 2025. [doi]
and : "Convergence of hyperbolic approximations to higher-order PDEs for smooth solutions", arXiv, 2025. [doi]
2024
; ; and : "Error analysis of a first-order DoD cut cell method for 2D unsteady advection", arXiv, 2024. [doi]
and : "Identification of minimal number of measurements allowing synchronization of a nodal observer for the wave equation", arXiv, 2024. [doi]
2023
and : "Regularity and long time behavior of a doubly nonlinear parabolic problem and its discretization", arXiv, 2023. [doi]

Refereed Articles (22)

2025
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 : "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 : "Theory of shifts, shocks, and the intimate connections to $L^2$-type a posteriori error analysis of numerical schemes for hyperbolic problems", Math. Comp., 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]
2023
; and : "On the convergence of the regularized entropy-based moment method for kinetic equations", SMAI J. Comput. Math., vol. 9, pp. 1–29, 2023. [doi] [preprint]
and : "Stability and asymptotic analysis for instationary gas transport via relative energy estimates", Numer. Math., 2023. [doi] [preprint]
; and : "A posteriori error estimates for wave maps into spheres", Adv. Comput. Math., vol. 49, 2023. [doi] [preprint]
2022
; ; and : "An asymptotic-preserving discretization scheme for gas transport in pipe networks", IMA J. Numer. Anal., 2022. [doi] [preprint]
2021
; ; and : "Residual estimates for post-processors in elliptic problems", J. Sci. Comput., vol. 88, no. 2, pp. Paper No. 34, 28, 2021. [doi] [preprint]
; and : "Error control for statistical solutions of hyperbolic systems of conservation laws", Calcolo, vol. 58, no. 2, pp. Paper No. 23, 29, 2021. [doi] [preprint]
and : "Boundary feedback stabilization of a semilinear model for the flow in star-shaped gas networks", ESAIM Control Optim. Calc. Var., vol. 27, pp. Paper No. 67, 24, 2021. [doi]
; and : "Exponential synchronization of a nodal observer for a semilinear model for the flow in gas networks", IMA J. Math. Control Inform., vol. 38, no. 4, pp. 1109–1147, 2021. [doi] [preprint]

Book Chapters (1)

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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