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Embedded Zassenhaus Expansion to Operator Splitting Schemes: Theory and Application in Fluid Dynamics
Operator splitting method Iterative splitting Zassenhaus product Parabolic differential equations Convection-Diffusion-Reaction Equations
2012/4/18
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 splitting methods, ...
A Semigroup Point Of View On Splitting Schemes For Stochastic (Partial) Differential Equations
Semigroup Point Splitting Schemes Differential Equations
2010/11/18
We construct normed spaces of real-valued functions with controlled growth on possibly infinite-dimensional state spaces such that semigroups of positive, bounded operators $(P_t)_{t\ge 0}$ thereon w...
3D HYBRID DEPTH MIGRATION AND FOUR-WAY SPLITTING SCHEMES
3D depth migration Multiway splitting Data line Wavefield computation Finite-difference Hybrid method
2007/12/12
The alternately directional implicit (ADI) scheme is usually
used in 3D depth migration. It
splits the 3D square-root operator along crossline and inline
directions alternately.
In this paper, bas...