Historically, second order accurate difference methods have been used for computations in dynamic meteorology and oceanography. We investigate more accurate difference methods and show that fourth order methods are optimal in some sense. This method is then compared with a variant of the Fourier technique.

Kreiss, H.-O. and Oliger, J. (0AD) ‘Comparison of accurate methods for the integration of hyperbolic equations’, Tellus A: Dynamic Meteorology and Oceanography, {volume}({issue}), p. {page}. Available at: https://doi.org/10.3402/tellusa.v24i3.10634.

Kreiss, H-Oand J Oliger. “Comparison of accurate methods for the integration of hyperbolic equations”. Tellus A: Dynamic Meteorology and Oceanography, vol. {volume}, no. {issue}, 0AD, p. {page}, doi:10.3402/tellusa.v24i3.10634.

Kreiss, H.-O., &amp; Oliger, J. (0AD). Comparison of accurate methods for the integration of hyperbolic equations. Tellus A: Dynamic Meteorology and Oceanography, {volume}({issue}), {page}. https://doi.org/10.3402/tellusa.v24i3.10634

Kreiss, Heinz-Otto, and Joseph Oliger. 0AD. “Comparison of Accurate Methods for the Integration of Hyperbolic Equations”. Tellus A: Dynamic Meteorology and Oceanography {volume} ({issue}): {page}. https://doi.org/10.3402/tellusa.v24i3.10634.

1. Kreiss H-O, Oliger J. Comparison of accurate methods for the integration of hyperbolic equations. Tellus A: Dynamic Meteorology and Oceanography. 0AD;{volume}({issue}):{page}. DOI: https://doi.org/10.3402/tellusa.v24i3.10634

1. Kreiss H-O, Oliger J. Comparison of accurate methods for the integration of hyperbolic equations. Tellus A: Dynamic Meteorology and Oceanography. 0AD;{volume}({issue}):{page}. doi:10.3402/tellusa.v24i3.10634

Kreiss H-O and Oliger J, ‘Comparison of Accurate Methods for the Integration of Hyperbolic Equations’ (0AD) {volume} Tellus A: Dynamic Meteorology and Oceanography {page} DOI: https://doi.org/10.3402/tellusa.v24i3.10634

[1]H.-O. Kreiss and J. Oliger, “Comparison of accurate methods for the integration of hyperbolic equations”, Tellus A: Dynamic Meteorology and Oceanography, vol. {volume}, no. {issue}, p. {page}, 0AD, doi: 10.3402/tellusa.v24i3.10634.

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Original Research Papers

Comparison of accurate methods for the integration of hyperbolic equations

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