NUMAL Section 4.2.1

BEGIN SECTION : 4.2.1 (July, 1974)

SECTION 4.2.1 CONTAINS TWO ALTERNATIVE PROCEDURES FOR THE COMPUTATION
OF A DEFINITE INTEGRAL.

Section 4.2.1.A:
A.  THE PROCEDURE QADRAT USES HIGH ORDER INTEGRATION RULES (UP TO 16-TH
    ORDER) AND IS APPROPRIATE FOR THE EVALUATION OVER A FINITE
    INTERVAL.

Section 4.2.1.B:
B.  THE PROCEDURE  INTEGRAL  USES A  5-TH  ORDER METHOD AND CAN ALSO BE
    USED TO CALCULATE THE  INTEGRAL OVER A NUMBER OF CONSECUTIVE
    INTERVALS.  MOREOVER THE PROCEDURE CAN BE USED FOR THE COMPUTATION
    OF THE DEFINITE INTEGRAL  OVER AN INFINITE INTERVAL.

FOR A  COMPARISON  OF A  NUMBER OF  PROCEDURES  THAT  EVALUATE DEFINITE
INTEGRALS : SEE REF[2].

REFERENCES :

     [1] T.J.DEKKER AND C.J.ROOTHART.
         INTRODUCTION TO NUMERICAL ANALYSIS. (DUTCH).
         MATH. CENTRE  REPORT CR 244/74, AMSTERDAM.
     [2] C.J.ROOTHART AND H. FIOLET.
         QUADRATURE PROCEDURES.
         MATH. CENTRE  REPORT MR 137/72, AMSTERDAM.