NEA-0541 BICUSP.

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

NAME OR DESIGNATION OF PROGRAM, COMPUTER, NATURE OF PHYSICAL PROBLEM SOLVED, METHOD OF SOLUTION, RESTRICTIONS ON THE COMPLEXITY OF THE PROBLEM, TYPICAL RUNNING TIME, FEATURES, AUXILIARIES, STATUS, REFERENCES, MACHINE REQUIREMENTS, LANGUAGE, OPERATING SYSTEM OR MONITOR UNDER WHICH PROGRAM IS EXECUTED, OTHER RESTRICTIONS, NAME AND ESTABLISHMENT OF AUTHOR, MATERIAL, CATEGORIES

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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.