Generalized Adams Methods.

Abstract

It is most desirable to use an accurate numerical method that allows the use of a large step size to solve stiff initial value problems. A family of generalized Adams-Bashforth and generalized Adams-Moulton methods, which we call GAB-GAM, are shown to be derived from nonlinear multistep (NLMS) methods. GAB-GAM methods are found to have advantages in solving (1) stiff equations; and (2) a class of underwater acoustic wave propagation problems. An application of these methods is included in this report. Also, an ANSI FORTRAN program, together with a set of numerical test examples, is included. (Author)

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Document Details

Document Type
Technical Report
Publication Date
Jul 06, 1979
Accession Number
ADA074548

Entities

People

  • Ding Lee

Organizations

  • Naval Underwater Systems Center

Tags

Communities of Interest

  • Air Platforms
  • Autonomy
  • Weapons Technologies

DTIC Thesaurus Topics

  • Accuracy
  • Acoustic Waves
  • Coefficients
  • Computations
  • Computer Programs
  • Computers
  • Consistency
  • Convergence
  • Differential Equations
  • Eigenvalues
  • Equations
  • Mathematics
  • New York
  • Polynomials
  • Precision
  • Wave Propagation
  • Waves

Readers

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