Operator splitting for non-autonomous evolution equations
We establish general product formulas for the solutions of non-autonomous abstract Cauchy
problems. The main technical tools are evolution semigroups allowing the direct application …
problems. The main technical tools are evolution semigroups allowing the direct application …
Optimal control and observation locations for time-varying systems on a finite-time horizon
X Wu, B Jacob, H Elbern - SIAM Journal on Control and Optimization, 2016 - SIAM
The choice of the location of controllers and observations is of great importance for
designing control systems and improving the estimations in various practical problems. For …
designing control systems and improving the estimations in various practical problems. For …
Numerical simulation of Bloch equations for dynamic magnetic resonance imaging
Abstract Magnetic Resonance Imaging (MRI) is a widely applied non-invasive imaging
modality based on non-ionizing radiation which gives excellent images and soft tissue …
modality based on non-ionizing radiation which gives excellent images and soft tissue …
[HTML][HTML] Operator splitting for nonautonomous delay equations
We provide a general product formula for the solution of nonautonomous abstract delay
equations. After having shown the convergence we obtain estimates on the order of …
equations. After having shown the convergence we obtain estimates on the order of …
Improving accuracy of the moving grid particle finite element method via a scheme based on Strang splitting
J Marti, P Ryzhakov - Computer Methods in Applied Mechanics and …, 2020 - Elsevier
Particle finite element method (PFEM) is a computational tool suitable for simulating fluid
dynamics problems characterized by presence of moving boundaries. In this paper a new …
dynamics problems characterized by presence of moving boundaries. In this paper a new …
[PDF][PDF] Numerical solutions of a system of odes based on lie-trotter and strang operator-splitting methods
In the present paper, we consider a first-order exponential splitting method (or exponential
Lie-Trotter splitting) and second order exponential splitting method (or exponential Strang …
Lie-Trotter splitting) and second order exponential splitting method (or exponential Strang …
[PDF][PDF] On the order of operator splitting methods for time-dependent linear systems of differential equations
One way to solve complicated systems of differential equations is the application of operator
splitting techniques. The original problem is split into several subsystems that are solved …
splitting techniques. The original problem is split into several subsystems that are solved …
PDE approximation of large systems of differential equations
A large system of ordinary differential equations is approximated by a parabolic partial
differential equation with dynamic boundary condition and a different one with Robin …
differential equation with dynamic boundary condition and a different one with Robin …
Operator splitting with spatial-temporal discretization
Operator Splitting with Spatial-temporal Discretization Page 1 Operator Theory: c⃝ 2012
Springer Basel Operator Splitting with Spatial-temporal Discretization András Bátkai, Petra …
Springer Basel Operator Splitting with Spatial-temporal Discretization András Bátkai, Petra …
Differential equation approximations of stochastic network processes: an operator semigroup approach
The rigorous linking of exact stochastic models to mean-field approximations is studied.
Starting from the differential equation point of view the stochastic model is identified by its …
Starting from the differential equation point of view the stochastic model is identified by its …