4 citations · 18 across the 22 of their papers we have counts for
16 papers · 1 filter
Splitting Approach for Solving Multi-Component Transport Models with Maxwell-Stefan-Diffusion
Juergen Geiser
In this paper, we present splitting algorithms to solve multicomponent transport models with Maxwell-Stefan-diffusion approaches. The multicomponent models are related to transport…
Iterative Implicit Methods for Solving Hodgkin-Huxley Type Systems
Juergen Geiser, Dennis Ogiermann
We are motivated to approximate solutions of a Hodgkin-Huxley type model with implicit methods. As a representative we chose a psychiatric disease model containing stable as well a…
Comparison of Splitting methods for Gross-Pitaevskii Equation
Juergen Geiser, Amirbahador Nasari
In this paper, we discuss the different splitting approaches to solve the Gross-Pitaevskii equation numerically. We consider conservative finite-difference schemes and spectral met…
Modelling approach of a near-far-field model for bubble formation and transport
Juergen Geiser, Paul Mertin
In this paper, we present a model based on a near-far-field bubble formation. We simulate the formation of a gas-bubble in a liquid, e.g., water and the transportation of such a ga…
Simulations of Multiscale Schroedinger Equations with Multiscale Splitting Approaches: Theory and Application
Juergen Geiser, Amirbahador Nasari
In this paper we present a novel multiscale splitting approach to solve multiscale Schroedinger equation, which have large different time-scales. The energy potential is based on h…
Iterative Splitting Methods for Coulomb Collisions in Plasma Simulations
Juergen Geiser
In this paper, we present splitting methods that are based on iterative schemes and applied to plasma simulations. The motivation arose of solving the Coulomb collisions, which are…
Multi-stage waveform Relaxation and Multisplitting Methods for Differential Algebraic Systems
Juergen Geiser
We are motivated to solve differential algebraic equations with new multi-stage and multisplitting methods. The multi-stage strategy of the waveform relaxation (WR) methods are giv…
Numerical Methods of the Maxwell-Stefan Diffusion Equations and Applications in Plasma and Particle Transport
Juergen Geiser
In this paper, we present a model based on a local thermodynamic equilibrium, weakly ionized plasma-mixture model used for medical and technical applications in etching processes.…
Iterative Splitting Methods: Almost Asymptotic Symplectic Integrator for Stochastic Nonlinear Schrödinger Equation
Juergen Geiser
In this paper we present splitting methods which are based on iterative schemes and applied to stochastic nonlinear Schroedinger equation. We will design stochastic integrators whi…
Effective Simulation Methods for Structures with Local Nonlinearity: Magnus integrator and Successive Approximations
Juergen Geiser, Vahid Yaghoubi
In the following, we discuss nonlinear simulations of nonlinear dynamical systems, which are applied in technical and biological models. We deal with different ideas to overcome th…
Comparison of Integrators for Electromagnetic Particle in Cell Methods: Algorithms and Applications
Juergen Geiser, Frederik Riedel
In this paper, we present different types of integrators for electro-magnetic particle-in-cell (PIC) methods. While the integrator is an important tool of the PIC methods, it is ne…
Particle in Cell (PIC): Error Estimates for Adaptive Grids
Juergen Geiser
This paper has been withdrawn by the author due to rewritting and skipping crucial sign errors.
Multiple Iterative Splitting method for Higher order and Integro-differental equations
Juergen Geiser, Thomas Zacher
In this paper we present an extension of standard iterative splitting schemes to multiple splitting schemes for solving higher order differential equations. We are motivated by dyn…
Embedded Zassenhaus Expansion to Operator Splitting Schemes: Theory and Application in Fluid Dynamics
Juergen Geiser
In this paper, we contribute operator-splitting methods improved by the Zassenhaus product for the numerical solution of linear partial differential equations. We address iterative…
Multiscale Splitting method for Boltzmann-Poisson Equation: Application for Dynamic of Electrons
Juergen Geiser, Thomas Zacher
In this paper we present a model based on dynamics of the electrons in the plasma using a simplified Boltzmann equation coupled with a Poisson equation. The motivation arose to sim…
Iterative operator-splitting methods for unbounded operators: Error analysis and examples
Juergen Geiser
In this paper we describe an iterative operator-splitting method for unbounded operators. We derive error bounds for iterative splitting methods in the presence of unbounded operat…