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Precision implicit second order differences for numerical weather simulation

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  • Bradley, J.H.S.

Abstract

Optimal approximations are derived for locally linearized partial differential equations with matrices of the same form as Galerkin B-spline approximations. The matrix coefficients are chosen for correct frequency and group velocity of long waves and at four mesh lengths. An overall error of 1% for intermediate wavelengths is possible. Splitting methods are found to handle advection terms relatively realistically.

Suggested Citation

  • Bradley, J.H.S., 1976. "Precision implicit second order differences for numerical weather simulation," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 18(3), pages 159-164.
    • Handle: RePEc:eee:matcom:v:18:y:1976:i:3:p:159-164
    DOI: 10.1016/0378-4754(76)90047-1
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