MS19: Numerical Methods for Engineering Problems

Numerical methods provide approximations for mathematical problems that cannot be readily solved using analytical methods. Therefore, the construction of numerical models using different numerical methods is necessary. In this minisymposium we consider several real-world problems (from engineering sciences, epidemic spread) and analyze both the discretization methods and the qualitative properties of the discretized models.

Wednesday, April 14, 10:20-12:00

1. 10:20 Gabriella Svantnerné Sebestyén, Numerical Solutions of Boundary Value Problems Using the Carleman Linearisation Method
2. 10:45 Lívia Boda, Operator Splitting and Commutating Matrices
3. 11:10 Csanád Árpád Hubay, Carleman Linearization Based Numerical Method for Solving Nonlinear Differential Equations
4. 11:35 Rahele Mosleh, Positively Invariant Discrete Model for the Basic Ross Model

Wednesday, April 14, 14:00-15:40

1. 14:00 Fawaz K. Alalhareth, John M. Slezak, Madhu Gupta, Hristo V. Kojouharov, Souvik Roy, Higher-Order Modified Nonstandard Finite Difference Methods for Dynamical Systems in Science and Engineering
2. 14:25 Imre Fekete, Step Size Control in Adaptive Linear Multistep Methods
3. 14:50 András Molnár, Gustaf Söderlind, Imre Fekete, Runge-Kutta-Möbius Methods
4. 15:15 Jens Jäschke, Matthias Ehrhardt, Michael Günther, Birgit Jacob, A Port-Hamiltonian Formulation of Coupled Heat Transfer