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1. Geometrical algorithms for 3-D wave equation presteck depth migration, National Natural Scicence Foundation of China (Grant No. 40474047), Jan. 2005—Dec. 2007. 2. Theory and algorithm of OSA on 3-D seismic imaging,GNational Natural Scicence Foundation of China (Grant No. 40774069), Jan. 2008—Dec. 2010.
1) Structure-preserving algorithms for differential equations
2) Discrete mechanics and field theory
3) Seismic modeling
4) Migration methods in seismic imaging
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