SYSTEM FOR PERFORMANCE EVALUATION OF PARTIAL-DIFFERENTIAL EQUATIONS SOFTWARE

被引：16

作者：

BOISVERT, RF

RICE, JR

HOUSTIS, EN

机构：

[1] Division of Mathematical Sciences, Purdue University, Lafayette

[2] Department of Mathematics and Computer Science, University of South Carolina, Columbia

来源：

IEEE TRANSACTIONS ON SOFTWARE ENGINEERING | 1979年 / 5卷 / 04期

关键词：

Index Terms-Elliptic PDE software; numerical methods evaluation; software performance; system for software experimentations;

D O I：

10.1109/TSE.1979.230175

中图分类号：

TP31 [计算机软件];

学科分类号：

081202 ; 0835 ;

摘要：

Thispaper describes a system to systematically compare the performance of various methods (software modules) for the numerical solution of partial differential equations. We discuss the general nature and large size of this performance evaluation problem and the data one obtains. The system meets certain design objectives that ensure a valid experiment: 1) precise definition of a particular measurement; 2) uniformity in definition of variables entering the experiment; and 3) reproducibility of results. The ease of use of the system makes it possible to make the large sets of measurements necessary to obtain confidence in the results and its portability allows others to check or extend the measurements. The system has four parts: 1) semiautomatic generation of problems for experimental input; 2) the ELLPACK system for actually solving the equation; 3) a data management system to organize and access the experimental data; and 4) data analysis programs to extract graphical and statistical summaries from the data. Copyright © 1979 by The Institute of Electrical and Electronics Engineers, Inc.

引用

页码：418 / 425

页数：8

共 10 条

[1]

Hollander M., Wolfe D.A., Nonparametic Statistical Methods, (1973)

[2]

Houstis E.N., Lynch R.E., Papatheodorou T.S., Rice J.R., Development, evaluation and selection of methods for elliptic partial differential equations, Annu. Assoc. Calcul. Analog., 11, pp. 98-105, (1975)

[3]

Evaluation of numerical methods for elliptic partial differential equations, Phys., 27, pp. 323-350, (1978)

[4]

Houstis E.N., Papatheodorou T.S., Comparison of fast direct methods for elliptic problems, Advances in Computer Methods for Partial Differential Equations, pp. 46-52, (1977)

[5]

Algorithm XXX, FFT9: Fast solution of Helmholtz type partial differential equations, ACM Trans. Math. Software, (1979)

[6]

Houstis E.N., Rice J.R., A population of elliptic partial differential equations in two variables, (1979)

[7]

The performance of high order methods on elliptic partial differential equations with singularities

[8]

Rice J.R., The algorithm selection problem, Advances in Computers, 15, pp. 65-118, (1976)

[9]

ELLPACK: A research tool for elliptic partial differential equations software, Mathematical Software III, J, pp. 319-342, (1977)

[10]

Methodology for the algorithm selection problem, Proc. IFIP Conf. Numerical Software Performance Evaluation, (1979)

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