Computation of Pseudo-Differential Operators
RICE UNIV HOUSTON TX DEPT OF MATHEMATICAL SCIENCES
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A simple algorithm is described for computing general pseudo-differential operator actions. Our approach is based on the asymptotic expansion of the symbol together with the Fast Fourier Transform FFT. The idea is motivated by the characterization of pseudo-differential operator algebra. We show that the algorithm is efficient through analyzing its complexity. Some of numerical experiments are also presented.
- Numerical Mathematics