Preprint 2025

• M.T. Hoang and M. Ehrhardt

  A Generalized Second-Order Positivity-Preserving Numerical Method for Non-Autonomous Dynamical Systems with Applications

  Preprint: imacm_25_17 download

   

• A. Zinihi

  Identifying Memory Effects in Epidemics via a Fractional SEIRD Model and Physics-Informed Neural Networks

  Preprint: imacm_25_16 download

   

• L. Di Persio, M. Ehrhardt, Y. Outaleb and S. Rizzotto

  Port-Hamiltonian Neural Networks: From Theory to Simulation of Interconnected Stochastic Systems

  Preprint: imacm_25_15 download

   

• S. Pereselkov, V. Kuz’kin, M. Ehrhardt, S. Tkachenko, A. Pereselkov and N. Ladykin

  Application of the Fractional Fourier Transform to Hologram Formation of a Moving Acoustic Source

  Preprint: imacm_25_14 download

   

• A. Zinihi, M. Ehrhardt and M.R. Sidi Ammi

  A Koopman Operator Framework for Nonlinear Epidemic Dynamics: Application to an SIRSD Model

  Preprint: imacm_25_13 download

   

• S. Pereselkov, V. Kuz’kin, M. Ehrhardt, S. Tkachenko, A. Pereselkov and N. Ladykin

  Effect of Irregular Bathymetry on Hologram Formation of a Moving Source in Shallow Water

  Preprint: imacm_25_12 download

   

• D. Walsken, P. Petrov and M. Ehrhardt

  A Spectral Split-Step Padé Method for Guided Wave Propagation

  Preprint: imacm_25_11 download

   

• A. Zinihi, M. Ehrhardt and M.R. Sidi Ammi

  Actuarial Analysis of an Infectious Disease Insurance based on an SEIARD Epidemiological Model

  Preprint: imacm_25_10 download

   

• A. Zinihi, M. Ehrhardt and M.R. Sidi Ammi

  A Nonstandard Finite Difference Scheme for an SEIQR Epidemiological PDE Model

  Preprint: imacm_25_09 download

   

• A. Zinihi, M. Ehrhardt and M.R. Sidi Ammi

  Spatiotemporal SEIQR Epidemic Modeling with Optimal Control for Vaccination, Treatment, and Social Measures

  Preprint: imacm_25_08 download

   

• S. Pereselkov, V. Kuz’kin, M. Ehrhardt, S. Tkachenko, A. Pereselkov and N. Ladykin

  Holographic Reconstruction in the Presence of Intense Internal Waves Traveling Along an Acoustic Path

  Preprint: imacm_25_07 download

   

• M. Ehrhardt, J. Glück, P. Petrov and S. Tappe

  Square Root Operators and the Well-Posedness of Pseudodifferential Parabolic Models of Wave Phenomena

  Preprint: imacm_25_06 download

   

• M. T. Hoang and M. Ehrhardt

  Differential equation models for infectious diseases: Mathematical modeling, qualitative analysis, numerical methods and applications

  Preprint: imacm_25_05 download

   

• M. Ehrhardt, S. Pereselkov, V. Kuz’kin, S. Tkachenko

  Underwater Sound Source Depth Estimation by Single Receiver in Shallow Water

  Preprint: imacm_25_04 download

   

• J. Ackermann, M. Ehrhardt, T. Kruse and A. Tordeux

  Modelling car-following dynamics with stochastic input-state-output port-Hamiltonian systems

  Preprint: imacm_25_03 download

   

• A. Clevenhaus, C. Totzeck and M. Ehrhardt

  A Space Mapping approach for the calibration of financial models with the application to the Heston model

  Preprint: imacm_25_02 download

   

• R. Taherdangkoo, M. Mollaali, M. Ehrhardt, T. Nagel, L. Laloui, A. Ferrari, and C. Butscher

  A finite element-based machine learning model for hydro-mechanical analysis of swelling behavior in clay-sulfate rocks

  Preprint: imacm_25_01 download