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Subroutine MAP_UTIL_TRAPE

  1. Provenance of code.
  2. Purpose of code.
  3. Specification.
  4. Description of subroutine's operation.
  5. References.
  6. Parameter descriptions.
  7. Error indicators.
  8. Accuracy estimate.
  9. Any additional information.
  10. Example of code
  11. Auxiliary subroutines required.
  12. Keywords.
  13. Download source code.
  14. Links.

Provenance of Source Code

Proprietary code, not available in MAP library.

Can, for example, be substituted by subroutine D01GAF of the "NAG" library.

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Purpose

Numerical integration. Integrates a function which is specified numerically using a trapezoidal rule.

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Specification

Language:FORTRAN
Product form:Source code

SUBROUTINE MAP_UTIL_TRAPE(X,Y,Z,NDIM)

DOUBLE PRECISION X(NDIM),Y(NDIM),Z(NDIM)

INTEGER NDIM

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Description

Uses the trapezoidal rule to numerically integrate a function Y specified at NDIM points X(1), X(2),....X(NDIM).

The result is stored in the array Z.

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References

  1. F. B. Hildebrand, Introduction to Numerical Analysis, McGraw-Hill, New York/Toronto/London, 1956, p.75

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Parameters

Input parameters

X - real array of dimension NDIM
On entry, X must contain the values of the independent variable.

Y - real array of dimension NDIM
On entry, Y must contain the values of the dependent variable.

NDIM - integer
NDIM specifies the number of points.

Output parameters

Z - real array of dimenstion NDIM
On exit, Z contains the estimate of the integral.

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Error Indicators

None.

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Accuracy

Not output.

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Further Comments

Can be substituted by NAG subroutine D01GAF.

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Example

Example code not provided.

1. Program text

See MAP steel subroutines MAP_STEEL_RATE2 and MAP_STEEL_AVOLF.

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Auxiliary Routines

None.

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Keywords

numerical integration

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Download

Download source code

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