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math.NA2014
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…
math.NA2014
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…
math.NA2014★ 1 cited
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…