Publications Prof. Dr. Matthias Ehrhardt
- 2017
- M. Ehrhardt, "A new two-way artificial boundary condition for wave propagation" in 23rd AIAA/CEAS Aeroacoustics Conference, 2017, pp. 3509.
- D. Shcherbakov, M. Ehrhardt, J. Finkenrath, M. Günther, F. Knechtli and M. Peardon, "Adapted nested force-gradient integrators: The Schwinger model case", Communications in Computational Physics, vol. 21, no. 4, pp. 1141–1153, 2017. Cambridge University Press.
- M. Ehrhardt, M. Günther and P. Pólvora, "Alternating direction explicit methods for linear, nonlinear and multi-dimensional Black-Scholes models" in Novel Methods in Computational Finance, Ehrhardt, Matthias and Günther, Michael and ter Maten, E. Jan W., Eds. Springer Cham, 2017, pp. 333–371.
- C. Hendricks, M. Ehrhardt and M. Günther, "Error splitting preservation for high order finite difference schemes in the combination technique", Numerical Mathematics: Theory, Methods and Applications, vol. 10, no. 3, pp. 689–710, 2017. Cambridge University Press.
- C. Hendricks, C. Heuer, M. Ehrhardt and M. Günther, "High-order ADI finite difference schemes for parabolic equations in the combination technique with application in finance", Journal of Computational and Applied Mathematics, vol. 316, pp. 175–194, 2017. North-Holland.
- C. Hendricks, M. Ehrhardt and M. Günther, "High-order methods for parabolic equations in multiple space dimensions for option pricing problems", 2017.
- C. Hendricks, C. Heuer, M. Ehrhardt and M. Günther, "High-order-compact ADI schemes for pricing basket options in the combination technique" in Novel Methods in Computational Finance, Ehrhardt, Matthias and Günther, Michael and ter Maten, E. Jan W., Eds. Springer Cham, 2017, pp. 399–405.
- E. J. W. Maten and M. Ehrhardt, "Minisymposium: Computational methods for finance and energy markets" in Progress in Industrial Mathematics at ECMI 2016, Springer Cham, 2017, pp. 141–143.
- L. Teng, M. Ehrhardt and M. Günther, "Modelling and calibration of stochastic correlation in finance" in Novel Methods in Computational Finance, Ehrhardt, Matthias and Günther, Michael and ter Maten, E. Jan W., Eds. Springer Cham, 2017, pp. 83–105.
- M. Ehrhardt, "Multiscale approach to parabolic equations derivation: Beyond the Linear theory", Procedia Computer Science, vol. 108, pp. 1823–1831, 2017. Elsevier.
- J. Kienitz, "Negative rates: New market practice" in Novel Methods in Computational Finance, Ehrhardt, Matthias and Günther, Michael and ter Maten, E. Jan W., Eds. Springer Cham, 2017, pp. 47–63.
- Novel Methods in Computational Finance (Book). Springer Cham, 2017.
ISBN: 978-3-319-61281-2
- L. Teng, M. Ehrhardt and M. Günther, "Numerical simulation of the Heston model under stochastic correlation", International Journal of Financial Studies, vol. 6, no. 1, pp. 3, 2017. MDPI.
- J. Kienitz, T. McWalter and R. Sheppard, "PDE methods for SABR" in Novel Methods in Computational Finance, Ehrhardt, Matthias and Günther, Michael and ter Maten, E. Jan W., Eds. Springer Cham, 2017, pp. 265–291.
- M. Ehrhardt and C. Vázquez, "Pricing swing options in electricity markets with two stochastic factors using a partial differential equation approach", Journal of Computational Finance, vol. 20, no. 3, pp. 81–107, 2017. Incisive Media.
- E. J. W. Maten, M. Günther and M. Ehrhardt, "Proper orthogonal decomposition in option pricing" in Novel Methods in Computational Finance, Ehrhardt, Matthias and Günther, Michael and ter Maten, E. Jan W., Eds. Springer Cham, 2017, pp. 441–452.
- E. J. W. Maten, M. Günther and M. Ehrhardt, "Reduced models in option pricing" in Progress in Industrial Mathematics at ECMI 2016, Quintela, Peregrina and Barral, Patricia and Gómez, Dolores and Pena, Francisco J. and Rodríguez, Jerónimo and Pilar, Salgado and Vázquez-Méndez, Miguel E., Eds. Springer Cham, 2017, pp. 161–168.
- B. Düring, C. Hendricks and J. Miles, "Sparse Grid High-Order ADI Scheme for Option Pricing in Stochastic Volatility Models" in Novel Methods in Computational Finance, Ehrhardt, Matthias and Günther, Michael and ter Maten, E. Jan W., Eds. Springer Cham, 2017, pp. 295–312.
- M. Ehrhardt and D. Ševčovič, "Stochastic and Computational Finance (Preface)", International Journal of Computer Mathematics, vol. 94, no. 11, pp. 2145–2146, 2017. Taylor & Francis.
- C. Heuer, P. Pólvora, M. Ehrhardt, M. Günther and E. J. W. Maten, "The STRIKE computational finance toolbox", Novel Methods in Computational Finance, pp. 561–601, 2017. Springer Cham.
- I. Kossaczky, M. Ehrhardt and M. Günther, "The tree-grid method with control-independent stencil", Proceedings of Equadiff 2017 Conference, pp. 79–88, 2017. SPEKTRUM STU Publishing.
- 2016
- M. Ehrhardt, "Discrete artificial boundary conditions for the linearized Korteweg-de Vries equation", Numerical Methods for Partial Differential Equations, vol. 32, no. 5, pp. 1455–1484, 2016. John Wiley & Sons.
- M. Ehrhardt and M. Günther, "Fichera theory and its application in finance" in Progress in Industrial Mathematics at ECMI 2014, Springer Cham, 2016, pp. 103–111.
- C. Hendricks, M. Ehrhardt and M. Günther, "High-order ADI schemes for diffusion equations with mixed derivatives in the combination technique", Applied Numerical Mathematics, vol. 101, pp. 36–52, 2016. North-Holland.
- P. Pólvora, M. Ehrhardt and M. Günther, "Implementation of alternating direction explicit methods for higher dimensional Black-Scholes equations", AIP Conference Proceedings, vol. 1773, no. 1, pp. 030001, 2016. American Institute of Physics.
