Publikationen
- 2021
- 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.
- C. Hachtel, A. Bartel, M. Günther and A. Sandu, "Multirate implicit Euler schemes for a class of differential-algebraic equations of index-1", Journal of Computational and Applied Mathematics, vol. 387, pp. 112499, 2021. North-Holland.
- M. Günther, A. Sandu and A. Zanna, "Symplectic GARK methods for Hamiltonian systems", Preprint, 2021.
- M. Ehrhardt, "Pricing basket default swaps using quasi-analytic techniques", Decisions in Economics and Finance, vol. 44, pp. 241–267, 2021. Springer Verlag Italia.
- M. Bannenberg and A. Ciccazzo, "Reduced order multirate schemes for coupled differential-algebraic systems", Applied Numerical Mathematics, vol. 168, pp. 104–114, 2021. North-Holland.
- M. Ehrhardt, "Reflectionless propagation of Manakov solitons on a line: A model based on the concept of transparent boundary conditions", Physical Review E, vol. 103, no. 4, pp. 043305, 2021. American Physical Society.
- Rosenbrock-Wanner-Type Methods: Theory and Applications. .... Springer Cham, 2021.
ISBN: 978-3-030-76809-6
- M. Günther, A. Sandu, K. Schäfers and A. Zanna, "Symplectic GARK methods for partitioned Hamiltonian systems", Preprint, 2021.
- L. Teng, "The Heston model with time-dependent correlation driven by isospectral flows", Mathematics, vol. 9, no. 9, 2021. MDPI.
- J. Backhaus, M. Bolten, O. Tanil Doganay, M. Ehrhardt, B. Engel, C. Frey, H. Gottschalk, M. Günther, C. Hahn, J. Jäschke and others, "GivEn - Shape optimization for gas turbines in volatile energy networks", Mathematical Modeling, Simulation and Optimization for Power Engineering and Management, pp. 71–106, 2021. Springer Cham.
- 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.
- E. Viviani, L. Di Persio and M. Ehrhardt, "Energy markets forecasting. From inferential statistics to machine learning: The German case", Energies, vol. 14, no. 2, pp. 364, 2021. MDPI.
- A. Clevenhaus, M. Ehrhardt and M. Günther, "A parallel sparse grid combination technique using the Parareal Algorithm", Preprint IMACM, 2021. Bergische Universität Wuppertal.
- M. Bannenberg and A. Ciccazzo, "A Combination of Model Order Reduction and Multirate Techniques for Coupled Dynamical Systems" in Scientific Computing in Electrical Engineering: SCEE 2020, Eindhoven, The Netherlands, February 2020, Springer International Publishing, 2021, pp. 191–199.
- A. Clevenhaus, C. Totzeck and M. Ehrhardt, "A gradient descent algorithm for the Heston model", Preprint IMACM, 2021. Bergische Universität Wuppertal.
- J. Kühn, A. Bartel and P. Putek, "A hysteresis loss model for Tellinen’s scalar hysteresis model" in Scientific Computing in Electrical Engineering: SCEE 2020, Eindhoven, The Netherlands, February 2020, van Beurden, Martijn and Budko, Neil and Schilders, Wil, Eds. Springer Cham, 2021, pp. 241–250.
- 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.
- F. Klass, A. Gabbana and A. Bartel, "A non-equilibrium bounce-back boundary condition for thermal multispeed LBM", Journal of Computational Science, vol. 53, pp. 101364, 2021. Elsevier.
- M. Felpel, J. Kienitz and T. A. McWalter, "Effective stochastic volatility: applications to ZABR-type models", Quantitative Finance, vol. 21, no. 5, pp. 837–852, 2021. Routledge.
- L. Teng, "A review of tree-based approaches to solve forward-backward stochastic differential equations", Journal of Computational Finance, vol. 25, no. 3, pp. 125–159, 2021. Incisive Media.