GALERKIN-WAVELET MODELING OF WAVE-PROPAGATION - OPTIMAL FINITE-DIFFERENCE STENCIL DESIGN

In this paper, we describe a method for design of optimal finite-diffe rence stencils for wave propagation problems using an intrinsically ex plicit Galerkin-wavelet formulation. The method enables an efficient c hoice of stencils optimal for a certain problem. We compare group velo city curves corresponding to stencils obtained by our choice of wavele t basis and traditional finite-difference schemes. Generally there exi st choices of stencils with superior characteristics compared to conve ntional finite-difference stencils of the same size. Beside gain in ac curacy, this leads to large computational savings.