splitting methods

Fourier-Spectral Methods for the Vlasov-Poisson System

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B9 R2325

In this talk we present an adaptive method for the numerical solution of the Vlasov-Poisson system in one space dimension with periodic boundary conditions in both space and velocity, which is based on Fourier discretisation in x and v and on high order fractional step method in time, allowing high accuracy and efficiency.

Splitting methods: merits and pitfalls

Prof. Alexander Ostermann

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B2 L5 R5220

Coffee Time: 15:30 - 16:00. Splitting methods are a well-established tool for numerically integrating time-dependent partial differential equations. These methods split the vector field into disjoint components, which are integrated separately using an appropriate time step. The individual flows are then combined to obtain the desired numerical approximation.

Nonlinear stability of splitting methods for Cahn-Hilliard equations

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B3 L5 R5220

Splitting methods have been shown to a useful tool in solving phase field equations. However, rigorous nonlinear stability analysis has not been available. In this short course, we will discuss some recent development in this direction.