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A Note on the Operator Compact Implicit Method for the Wave Equation
1978
Mathematics of Computation
In a previous paper a fourth order compact implicit scheme was presented for the second order wave equation. A very efficient factorization technique was developed when only second order terms were present. In this note we implement the operator compact implicit spatial discretization method for the second order wave equation when first order terms are present. The resulting algorithm is completely analogous to the compact implicit algorithm when lower order terms were not present. For this
doi:10.2307/2006263
fatcat:m4m7ylhujjerzj63fer6ct2l3y