last modified: 30-APR-1978 | catalog | categories | new | search |

NEA-0541 BICUSP.

BICUSP, Solution and Derivatives of 2-D Function in Rectangular Mesh Grid by Splines

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1. NAME OR DESIGNATION OF PROGRAM:  BICUSP.
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2. COMPUTERS
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Program name Package id Status Status date
BICUSP NEA-0541/01 Tested 30-APR-1978

Machines used:

Package ID Orig. computer Test computer
NEA-0541/01 IBM 370 series IBM 370 series
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3. NATURE OF PHYSICAL PROBLEM SOLVED

Given a function z = f(x,y) in matrix form, defined on a rectangular mesh-grid, it returns the value of the function, the first and second partial derivatives in an arbitrary point (x',y') inside the rectangular domain.
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4. METHOD OF SOLUTION

A bicubic spline interpolation method is used; a linear and logarithmic interpolation model is included.
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5. RESTRICTIONS ON THE COMPLEXITY OF THE PROBLEM

Variable dimensioning is used by storing all data in one array.
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6. TYPICAL RUNNING TIME

The calculation of the interpolation coefficients for a 22 x 11 matrix in double precision takes 0.3 seconds CPU time on IBM/370/165.
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7. UNUSUAL FEATURES: UNUSUAL FEATURES OF THE PROGRAM
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8. RELATED OR AUXILIARY PROGRAMS: RELATED AND AUXILIARY PROGRAMS
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9. STATUS
Package ID Status date Status
NEA-0541/01 30-APR-1978 Tested at NEADB
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10. REFERENCES

- T.L. Jordan:
  "Smoothing and Multivariable Interpolation with Splines"
  LA-3137(1965).
NEA-0541/01, included references:
- E.H. Sartori:
  'BICUSP A Bicubic Spline Interpolation Package'
  NEA-DB User's Guide
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11. MACHINE REQUIREMENTS:  Uses only a line printer.
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12. PROGRAMMING LANGUAGE(S) USED
Package ID Computer language
NEA-0541/01 FORTRAN-IV
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13. OPERATING SYSTEM OR MONITOR UNDER WHICH PROGRAM IS EXECUTED:  IBM/OS 370-MVT.
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14. OTHER PROGRAMMING OR OPERATING INFORMATION OR RESTRICTIONS

ANY OTHER PROGRAMMING OR OPERATING INFORMATION OR RESTRICTIONS
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15. NAME AND ESTABLISHMENT OF AUTHOR

       E.H. Sartori
       NEA Data Bank
       Le Seine St Germain
       12 Boulevared des Iles       
       F-92130 Issy-les-Moulineaux
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16. MATERIAL AVAILABLE
NEA-0541/01
File name File description Records
NEA0541_01.001 SUBROUTINE PACKAGE (F4,EBCDIC) 515
NEA0541_01.002 MAIN PROGRAM FOR DEMONSTRATION (F4,EBCDIC) 113
NEA0541_01.003 SAMPLE PROBLEM INPUT DATA 51
NEA0541_01.004 SAMPLE PROBLEM PRINTED OUTPUT 1718
NEA0541_01.005 JCL & INFORMATION 19
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17. CATEGORIES
  • P. General Mathematical and Computing System Routines

Keywords: interpolation, special functions, spline functions.