The Numerical Differentiation of Discrete Functions Using Polynomial Interpolation Methods,

Abstract

A FORTRAN subroutine package, called DERMOD, has been written for calculating numerical approximations for the spatial derivatives of a function defined only on a discrete set of data points. The routines are designed to complement many existing codes for solving ordinary and partial differential equations and for the interpolation of tabular data. We describe some new numerical differential algorithms, discuss a mapping procedure for nonuniform grids, and explain the program methodology used in designing the software. (Author)

Document Details

Document Type
Technical Report
Publication Date
Jan 01, 1982
Accession Number
ADP000986

Entities

People

  • Bernard Larrouturou
  • James H. Hyman

Organizations

  • Los Alamos National Laboratory

Tags

DTIC Thesaurus Topics

  • Algorithms
  • Coordinate Systems
  • Demographic Cohorts
  • Differential Equations
  • Equations
  • Grids
  • Interpolation
  • Mathematical Analysis
  • Mathematics
  • Nonuniform
  • Partial Differential Equations
  • Polynomials
  • Procedures (Computers)

Fields of Study

  • Mathematics

Readers

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