A Note on the Operator Compact Implicit Method for the Wave Equation.

Abstract

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 more general operator compact implicit spatial approximation the same factorization as in our previous paper is developed. (Author)

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Document Details

Document Type
Technical Report
Publication Date
Nov 16, 1976
Accession Number
ADA035443

Entities

People

  • Melvyn Ciment
  • Stephen H. Leventhal

Organizations

  • Naval Ordnance Laboratory

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  • Weapons Technologies

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  • Differential Equations
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Fields of Study

  • Mathematics

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  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)