Micromagnetics and spintronics: models and numerical methods

Numerical Methods for a Reduced Model in Thin{Film Micromagnetics

Diese Arbeit ist meiner Familie gewidmet. The great sense of passing through.

Multiscale Modeling in Micromagnetics: Well-Posedness and Numerical Integration

Various applications ranging from spintronic devices, giant magnetoresistance (GMR) sensors, and magnetic storage devices, include magnetic parts on very different length scales. Since the consideration of the Landau-Lifshitz-Gilbert equation (LLG) constrains the maximum element size to the exchange length within the media, it is numerically not attractive to simulate macroscopic parts with thi...

A Numerical Study of Dynamic Micromagnetics

......................................................................................................... v Chapter

Symplectic and symmetric methods for the numerical solution of some mathematical models of celestial objects

In the last years, the theory of numerical methods for system of non-stiff and stiff ordinary differential equations has reached a certain maturity. So, there are many excellent codes which are based on Runge–Kutta methods, linear multistep methods, Obreshkov methods, hybrid methods or general linear methods. Although these methods have good accuracy and desirable stability properties such as A...

Numerical Methods 101 - Convergence of Numerical Models