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Lowrank finite-differences and lowrank Fourier finite-differences for seismic wave extrapolation in the acoustic approximation
Numerical solutions Body waves Seismic anisotropy Computational seismology Wave propagation Acoustic properties
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2015/7/14
We introduce a novel finite-difference (FD) approach for seismic wave extrapolation in time.We derive the coefficients of the finite-difference operator from a lowrank approximation of the space-waven...
Holistic finite differences accurately model the dynamics of the Kuramoto-Sivashinsky equation
Holistic finite differences accurately model dynamics the Kuramoto-Sivashinsky equation
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2010/10/29
We analyse the nonlinear Kuramoto-Sivashinsky equation to develop an accurate finite difference approximation to its dynamics. The analysis is based upon centre manifold theory so we are assured that...