Preprints

1. Kathrin Hellmuth, Qin Li, Stephen J. Wright, Ruhui Jin
   Data selection: at the interface of PDE-based inverse problem and randomized linear algebra
   submitted (2025)

2. Kathrin Hellmuth, Christian Klingenberg, Qin Li
   Preserving positivity of Gauss-Newton Hessian through random sampling
   submitted (2025)
   
   

Publications

3. Herbert Egger, Kathrin Hellmuth, Nora Philippi, Matthias Schlottbom
   A kinetic chemotaxis model and its diffusion limit in slab geometry
   Asymptotic Analysis (2025)

4. Kathrin Hellmuth, Christian Klingenberg, Qin Li, Min Tang
   Reconstructing the kinetic chemotaxis kernel using macroscopic data: Well-posedness and ill-posedness
   SIAM Journal on Applied Mathematics, vol. 85, no. 2, pp. 613-635 (2025)

5. Kathrin Hellmuth, Christian Klingenberg, Qin Li, Min Tang
   Kinetic chemotaxis tumbling kernel determined from macroscopic quantities
   SIAM Journal on Mathematical Analysis, vol. 56, no. 1, pp. 568-587 (2024)

6. Kathrin Hellmuth, Christian Klingenberg
   Computing Black Scholes with Uncertain Volatility—A Machine Learning Approach
   Mathematics, vol. 10, no. 3, 489, special issue "Numerical Analysis with Applications in Machine Learning" (2022)

7. Kathrin Hellmuth, Christian Klingenberg, Qin Li, Min Tang
   Multiscale convergence of the inverse problem for chemotaxis in the Bayesian setting
   Computation, vol. 9, no. 11, 119, special issue "Inverse Problems with Partial Data” (2021)
    

Conference proceedings:

1. Kathrin Hellmuth, Christian Klingenberg, Qin Li
   Multi-scale PDE inverse problem in bacterial movement
   Hyperbolic Problems: Theory, Numerics, Applications. Volume II. HYP 2022.
   SEMA SIMAI Springer Series, vol 35, pp.395-405 (2024)

2. Kathrin Hellmuth
   Inverse problems for kinetic equations - an application to chemotaxis
   Oberwolfach Reports.  Rep. 18, no. 3, pp. 2316–2318 (2021)

3. Kathrin Hellmuth
   An inverse problem for chemotaxis
   Oberwolfach Reports.  Rep. 18, no. 2, pp. 1080–1083 (2021)
   
   

Science communication:

• Kathrin Hellmuth, Christian Klingenberg
  Route planning for bacteria
  Snapshots of modern mathematics from Oberwolfach (2022), no.12
  
  

​​​​​​​Thesis:

• Kathrin Hellmuth (supervised by Christian Klingenberg)
  On Qualitative Experimental Design for PDE Parameter Identification Inverse Problems
  (2025)