Abstract
Summary Spatial finite-difference (FD) coefficients are usually determined by the Taylor-series expansion (TE) or optimization methods. Present optimization methods applied to calculate FD coefficients are generally gradientlike or global optimization-like algorithms. In this paper, based on least squares (LS), I develop a new scheme to calculate optimal spatial FD coefficients by minimizing the relative error of the time-space domain dispersion relation for the acoustic wave equation. Dispersion analysis and modeling examples demonstrate its advantages of greater accuracy and efficiency.
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