A Simpler GMRES Method for Oscillatory Integrals with IrregularOscillations

Abstract EN

A simpler GMRES method for computing oscillatory integral is presented.

Theoretical analysis shows that this method is mathematicallyequivalent to the GMRES method proposed by Olver (2009).

Moreover, the simpler GMRES does not require upper Hessenberg matrix factorization, which leads to much simpler program and requires less work.

Numerical experiments are conducted to illustrate the performance of the new method and show that in some cases the simpler GMRES method could achieve higher accuracy than GMRES.