Publications Prof. Dr. Matthias Ehrhardt
- 2021
- Rosenbrock-Wanner-Type Methods: Theory and Applications. Springer Cham, 2021.
ISBN: 978-3-030-76809-6
- A. Araújo and M. Ehrhardt, "Mathematical models of the spread and consequences of the SARS-CoV-2 pandemics: Effects on health, society, industry, economics and technology", Journal of Mathematics in Industry, vol. 11, pp. 1–2, 2021. Springer Verlag.
- A. Clevenhaus, C. Totzeck and M. Ehrhardt, "A gradient descent algorithm for the Heston model", Preprint IMACM, 2021. Bergische Universität Wuppertal.
- A. Clevenhaus, M. Ehrhardt and M. Günther, "An ADI Sparse Grid method for pricing efficiently American options under the Heston model", Advances in Applied Mathematics and Mechanics, vol. 13, no. 6, pp. 1384–1397, 2021. Global Science Press.
- T. Kossaczká, M. Ehrhardt and M. Günther, "Enhanced fifth order WENO shock-capturing schemes with deep learning", Results in Applied Mathematics, vol. 12, pp. 100201, 2021. Elsevier.
- L. Kapllani, L. Teng and M. Ehrhardt, "A multistep scheme to solve backward stochastic differential equations for option pricing on GPUs" in Advances in High Performance Computing: Results of the International Conference on “High Performance Computing” Borovets, Bulgaria, 2019, Dimov, Ivan and Fidanova, Stefka, Eds. Springer Cham, 2021, pp. 196–208.
- 2020
- M. Ehrhardt, "Elliptical and Archimedean copula models: An application to the price estimation of portfolio credit derivatives", Journal of Credit Risk, vol. 17, no. 1, pp. 1–29, 2020. Incisive Media.
- M. Ehrhardt, "Valuation of basket credit default swaps under stochastic default intensity models", Advances in Applied Mathematics and Mechanics, vol. 12, no. 5, pp. 1301–1326, 2020. Global Science Press.
- M. Ehrhardt, "Dirac particles in transparent quantum graphs: Tunable transport of relativistic quasiparticles in branched structures", Physical Review E, vol. 101, no. 6, pp. 062208, 2020. American Physical Society.
- A. Clevenhaus, M. Ehrhardt, M. Günther and D. Ševčovič, "Pricing American options with a non-constant penalty parameter", Journal of Risk and Financial Management, vol. 13, no. 6, pp. 124, 2020. MDPI.
- M. Ehrhardt, "Wide-angle mode parabolic equations for the modelling of horizontal refraction in underwater acoustics and their numerical solution on unbounded domains", Journal of Sound and Vibration, vol. 484, pp. 115526, 2020. Academic Press.
- L. Teng, X. Wu, M. Günther and M. Ehrhardt, "A new methodology to create valid time-dependent correlation matrices via isospectral flows", ESAIM: Mathematical Modelling and Numerical Analysis, vol. 54, no. 2, pp. 361–371, 2020. EDP Sciences.
- 2019
- M. Ehrhardt, "Transparent quantum graphs", Physics Letters A, vol. 383, no. 20, pp. 2382–2388, 2019. North-Holland.
- M. Ehrhardt and C. Vázquez, "Jump-diffusion models with two stochastic factors for pricing swing options in electricity markets with partial-integro differential equations", Applied Numerical Mathematics, vol. 139, pp. 77–92, 2019. North-Holland.
- M. Ehrhardt, "Transparent nonlinear networks", Physical Review E, vol. 100, no. 3, pp. 032204, 2019. American Physical Society.
- M. Ehrhardt, J. Gašper and S. Kilianová, "SIR-based mathematical modeling of infectious diseases with vaccination and waning immunity", Journal of Computational Science, vol. 37, pp. 101027, 2019. Elsevier.
- M. Ehrhardt, "Wide-angle mode parabolic equation with transparent boundary conditions and its applications in shallow water acoustics" in 2019 Days on Diffraction (DD), IEEE, 2019, pp. 221–225.
- S. Treibert, H. Brunner and M. Ehrhardt, "Compartment models for vaccine effectiveness and non-specific effects for Tuberculosis", Mathematical Biosciences and Engineering, vol. 16, no. 6, pp. 7250–7298, 2019. AIMS Press.
- I. Kossaczky, M. Ehrhardt and M. Günther, "The two-dimensional tree-grid method", Journal of Computational Finance, vol. 23, no. 2, pp. 29–57, 2019. Incisive Media.
- M. Ehrhardt and C. Vázquez, "Pricing swing options in electricity markets with two stochastic factors: PIDE modeling and numerical solution" in 3rd International Conference on Computational Finance (ICCF2019), Universidade da Coruña, 2019, pp. 89–90.
- 2018
- I. Kossaczky, M. Ehrhardt and M. Günther, "A new convergent explicit tree-grid method for HJB equations in one space dimension", Numerical Mathematics: Theory, Methods and Applications, vol. 11, no. 1, pp. 1–29, 2018. Global Science Press.
- A. Bartel and M. Ehrhardt, "A numerical tool for the study of the hydrodynamic recovery of the lattice Boltzmann Method", Computers & Fluids, vol. 172, pp. 241–250, 2018. Pergamon.
- M. Ehrhardt, "Numerical solution of iterative parabolic equations approximating the nonlinear Helmholtz equation" in 2018 Days on Diffraction (DD), IEEE, 2018, pp. 241–244.
- C. Hendricks, M. Ehrhardt and M. Günther, "Hybrid finite-difference/pseudospectral methods for the Heston and Heston-Hull-White partial differential equations", Journal of Computational Finance, vol. 21, no. 5, pp. 1–33, 2018. Incisive Media.
- L. Teng, M. Ehrhardt and M. Günther, "Quanto pricing in stochastic correlation models", International Journal of Theoretical and Applied Finance, vol. 21, no. 05, pp. 1850038, 2018. World Scientific Publishing.
