Preprint 2026

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

  A Koopman-PINN Framework for Epidemic Models: Parameter Inference and Forecasting

  Preprint: imacm_26_11 download

   

• M.T. Hoang, H.T. Pham, and M. Ehrhardt

  A Generalized Hacker Dynamics Model with Nonlinear Incidence: Analysis and Positivity-Preserving Numerical Simulation

  Preprint: imacm_26_10 download

   

• S. M. Al-Mekhlafi, A. Boudaoui, and M. Ehrhardt

  Structure-Preserving Schemes for a Fractional SVIR Epidemic Model with a Hybrid Mittag-Leffler-Caputo-Fabrizio Operator

  Preprint: imacm_26_09 download

   

• A. Zinihi, and M. Ehrhardt

  Constraint-Aware Physics-Informed Neural Networks for SEIR Reaction-Diffusion Epidemic Models with Vital Dynamics

  Preprint: imacm_26_07 download

   

• H.K. Dwivedi, M. Ehrhardt, and Rajeev

  Alikhanov–XfPINNs: Adaptive Physics-Informed Learning for Nonlinear Fractional PDEs on Nonuniform Meshes

  Preprint: imacm_26_06 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_26_05 download

   

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

  Frequency Variations Of Two Modes Interference Patterns Due To Internal Soliton Wave In Shallow Water

  Preprint: imacm_26_04 download

   

• F. Kasolis, N. Haussmann, M. Clemens and M. Günther

  Structure-Preserving Coupled Field-Cable Simulations via the Port-Hamiltonian Framework

  Preprint: imacm_26_03 download

   

• M. Ehrhardt, V. Fanelli and L. Maddalena

  Nonstandard Finite Difference Schemes for Delayed Credit Risk Contagion Models

  Preprint: imacm_26_02 download

   

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

  Stochastic Port-Hamiltonian Neural Networks: Universal Approximation with Passivity Guarantees

  Preprint: imacm_26_01 download