Publikationen Ehrhardt

P. S. Petrov, M. Ehrhardt and S. B. Kozitskiy, "A generalization of the split-step Padé method to the case of coupled acoustic modes equation in a 3D waveguide", Journal of Sound and Vibration, vol. 577, pp. 118304, 2024. Academic Press.

DOI: 10.1016/j.jsv.2024.118304

M. Ehrhardt, "A nonstandard finite difference scheme for a time-fractional model of Zika virus transmission", Mathematical Biosciences and Engineering, vol. 21, no. 1, pp. 924–962, 2024. AIMS Press.

DOI: 10.3934/mbe.2024039

A. Clevenhaus, C. Totzeck and M. Ehrhardt, "A numerical study of the impact of variance boundary conditions for the Heston model", Burnecki, K. and Szwabiński, J. and Teuerle, M., Eds. Bergische Universität Wuppertal, 2024.

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T. Kossaczká, A. D. Jagtap and M. Ehrhardt, "Deep smoothness WENO method for two-dimensional hyperbolic conservation laws: A deep learning approach for learning smoothness indicators", Physics of Fluid, vol. 36, no. 3, pp. 036603, 2024. AIP Publishing.

DOI: 10.1063/5.0199322

G. M. R. Costa and M. Ehrhardt, "Mathematical analysis and a nonstandard scheme for a model of the immune response against COVID-19" in Mathematical and Computational Modeling of Phenomena Arising in Population Biology and Nonlinear Oscillations, AMS Contemporary Mathematics, 2024, pp. 251–270.

DOI: 10.1090/conm/793/15881

J. Ackermann, M. Ehrhardt, T. Kruse and A. Tordeux, "Stabilisation of stochastic single-file dynamics using port-Hamiltonian systems", Preprint, 2024.

DOI: 10.48550/arXiv.2401.17954

M. Ehrhardt, T. Kruse and A. Tordeux, "The collective dynamics of a stochastic port-Hamiltonian self-driven agent model in one dimension", ESAIM: Mathematical Modelling and Numerical Analysis, vol. 58, no. 2, pp. 515–544, 2024. EDP Sciences.

DOI: 10.1051/m2an/2024004

A. Clevenhaus, C. Totzeck and M. Ehrhardt, "A gradient-based calibration method for the Heston model", International Journal of Computer Mathematics, vol. 101, no. 9-10, pp. 1094–1112, 2024. Taylor & Francis.

DOI: 10.1080/00207160.2024.2353189

J. Jäschke, N. Skrepek and M. Ehrhardt, "Mixed-dimensional geometric coupling of port-Hamiltonian systems", Applied Mathematics Letters, vol. 137, pp. 108508, 2023. Pergamon.

DOI: 10.1016/j.aml.2022.108508

M. Ehrhardt, "Use of interference patterns to control sound field focusing in shallow water", Journal of Marine Science and Engineering, vol. 11, no. 3, pp. 559, 2023. MDPI.

DOI: 10.3390/jmse11030559

M. Ehrhardt, "Transparent boundary conditions for the nonlocal nonlinear Schrödinger equation: A model for reflectionless propagation of PT-symmetric solitons", Physics Letters, Section A, vol. 459, pp. 128611, 2023. North-Holland.

DOI: 10.1016/j.physleta.2022.128611

M. Ehrhardt, "Three-dimensional modeling of sound field holograms of a moving source in the presence of internal waves causing horizontal refraction", Journal of Marine Science and Engineering, vol. 11, no. 10, pp. 1922, 2023. MDPI.

DOI: 10.3390/jmse11101922

M. Muniz, M. Ehrhardt, M. Günther and R. Winkler, "Strong stochastic Runge-Kutta-Munthe-Kaas methods for nonlinear Itô SDEs on manifolds", Applied Numerical Mathematics, vol. 193, pp. 196–203, 2023. North-Holland.

DOI: 10.1016/j.apnum.2023.07.024

F. Heldmann, M. Ehrhardt and K. Klamroth, "PINN training using biobjective optimization: The trade-off between data loss and residual loss", Journal of Computational Physics, vol. 488, pp. 112211, 2023. Academic Press.

DOI: 10.1016/j.jcp.2023.112211

M. Ehrhardt and S. B. Kozitskiy, "On a generalization of the split-step Padé method to the case of unknown vector-functions", Preprint IMACM, 2023. Bergische Universität Wuppertal.

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K. S. Matyokubov and M. Ehrhardt, "Manakov system on metric graphs: Modeling the reflectionless propagation of vector solitons in networks", Physics Letters, Section A, vol. 479, pp. 128928, 2023. North-Holland.

DOI: 10.1016/j.physleta.2023.128928

M. Ehrhardt, "3D Modeling of sound field hologram of moving source in presence of internal waves causing horizontal refraction.", Preprint IMACM, 2023. Bergische Universität Wuppertal.

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L. Di Persio and M. Ehrhardt, "Electricity price forecasting via statistical and deep learning approaches: The German case", AppliedMath, vol. 3, no. 2, pp. 316–342, 2023. MDPI.

DOI: 10.3390/appliedmath3020018

M. Ehrhardt and K. S. Matyokubov, "Driven transparent quantum graphs", Preprint, 2023.

DOI: 10.48550/arXiv.2312.01448

T. Kossaczká, M. Ehrhardt and M. Günther, "Deep finite difference method for solving Asian option pricing problems", Preprint IMACM, 2023. Bergische Universität Wuppertal.

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T. Kossaczká, M. Ehrhardt and M. Günther, "Deep FDM: Enhanced finite difference methods by deep learning", Franklin Open, vol. 4, pp. 100039, 2023. Elsevier.

DOI: 10.1016/j.fraope.2023.100039

H. Fatoorehchi and M. Ehrhardt, "A new method for stability analysis of linear time-invariant systems and continuous-time nonlinear systems with application to process dynamics and control", Preprint IMACM, 2023.

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H. Fatoorehchi and M. Ehrhardt, "A combined method for stability analysis of linear time invariant control systems based on Hermite-Fujiwara matrix and Cholesky decomposition", The Canadian Journal of Chemical Engineering, vol. 101, no. 12, pp. 7043–7052, 2023. John Wiley & Sons.

DOI: 10.1002/cjce.24962

M. Ehrhardt, "Experimental observation and theoretical analysis of the low-frequency source interferogram and hologram in shallow water", Journal of Sound and Vibration, vol. 544, pp. 117388, 2023. Academic Press.

DOI: 10.1016/j.jsv.2022.117388

M. Ehrhardt, "On decomposition of the fundamental solution of the Helmholtz equation over solutions of iterative parabolic equations", Asymptotic Analysis, vol. 126, no. 3-4, pp. 215–228, 2022. IOS Press.

DOI: 10.3233/ASY-211679

Publikationen Prof. Dr. Matthias Ehrhardt