Preprint 2024

• Kapllani, L. and Teng, L.

  A forward differential deep learning-based algorithm for solving high-dimensional nonlinear backward stochastic differential equations

  arXiv

   

• Ehrhardt, M. and Tordeux, A.

  Stability of heterogeneous linear and nonlinear car-following models

  Preprint: imacm_24_11 download

   

• Akramov, M.E. and Yusupov, J.R. and Ehrhardt, M. and Susanto, H. and Matrasulov, D.U.

  Transparent PT-symmetric nonlinear networks

  Preprint: imacm_24_10 download

   

• Ehrhardt, M. and Zheng, C.

  Absorbing Boundary Conditions for Variable Potential Schrödinger Equations via Titchmarsh-Weyl Theory

  Preprint: imacm_24_09 download

   

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

  Dynamical Analysis of a Cocaine-Heroin Epidemiological Model with Spatial Distributions

  Preprint: imacm_24_08 download

   

• Kapllani, L. and Teng, L.

  A backward differential deep learning-based algorithm for solving high-dimensional nonlinear backward stochastic differential equations

  arXiv

   

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

  Dynamical Behavior of a Stochastic Epidemiological Model: Stationary Distribution and Extinction of a SIRS Model with Stochastic Perturbations

  Preprint: imacm_24_07 download

   

• De Persio, L. and Ehrhardt, M. and Rizzotto, S.

  Integrating Port-Hamiltonian Systems with Neural Networks: From Deterministic to Stochastic Frameworks

  Preprint: imacm_24_06 download

   

• Pereselkov, S. and Kuz’kin and, V. and Ehrhardt, M. and Matvienko, Y. and Tkachenko, S. and Rybyanets, P.

  Formation of 2D-Holograms of Noise Source and Bearing Estimation by a Vector Scalar Receiver in the High-Frequency Band

  Preprint: imacm_24_05 download

   

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

  Optimal Control of a Diffusive Epidemiological Model Involving the Caputo-Fabrizio Fractional Time-Derivative

  Preprint: imacm_24_04 download

   

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

  Mathematical Modeling and Hyers-Ulam Stability for a Nonlinear Epidemiological Model with Φ_p Operator and Mittag-Leffler Kernel

  Preprint: imacm_24_03 download

   

• Hoang, Manh Tuan and Ehrhardt, M.

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

  Preprint: imacm_24_02 download

   

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

  Stabilisation of stochastic single-file dynamics using port-Hamiltonian systems

  Preprint: imacm_24_01 download