Operator splitting techniques for infinite-dimensional systems / vorgelegt von Merlin Schmitz. Wuppertal, 2025
Inhalt
- Symbols
- Introduction
- Preliminaries
- Notation and convention
- One-parameter semigroups
- Strongly continuous semigroups
- Strongly continuous groups
- Inter- and extrapolation spaces
- Analytic semigroups
- Inhomogeneous abstract Cauchy problems
- Dissipativity and monotonicity
- Linear Systems
- Semilinear Equations
- System Node Splitting
- Description of the dynamic iteration scheme
- Maximal monotonicity of the operator M
- Proof of the main theorems
- Examples
- Linear-Quadratic Optimal Control
- Problem formulation
- Iteration scheme for optimality systems
- Convergence of the iteration
- Implementation aspects and numerical experiments
- Numerical experiments
- Conclusion
- Bibliography