Portal de Periódicos da CAPES

Self-Adaptive Filon's Integration Method and Its Application to Computing Synthetic Seismograms

2001; Institute of Physics; Volume: 18; Issue: 3 Linguagem: Inglês

10.1088/0256-307x/18/3/301

1741-3540

Haiming Zhang, Xiaofei Chen,

Geophysics and Gravity Measurements

Based on the principle of the self-adaptive Simpson integration method, and by incorporating the `fifth-order' Filon's integration algorithm [Bull. Seism. Soc. Am. 73(1983)913], we have proposed a simple and efficient numerical integration method, i.e., the self-adaptive Filon's integration method (SAFIM), for computing synthetic seismograms at large epicentral distances. With numerical examples, we have demonstrated that the SAFIM is not only accurate but also very efficient. This new integration method is expected to be very useful in seismology, as well as in computing similar oscillatory integrals in other branches of physics.