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PDEL—a language for partial differential equations
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Communications of the ACM archive
Volume 13 ,  Issue 3  (March 1970) table of contents
Pages: 184 - 191  
Year of Publication: 1970
ISSN:0001-0782
Authors
Alfonso F. Cárdenas  Univ. of California, Los Angeles
Walter J. Karplus  Univ. of California, Los Angeles
Publisher
ACM  New York, NY, USA
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Downloads (6 Weeks): 2,   Downloads (12 Months): 19,   Citation Count: 12
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ABSTRACT

Conventional computer methods available to solve continuous system problems characterized by partial differential equations are very time-consuming and cumbersome. A convenient, easy to learn and to use, high level problem oriented language to solve and study partial differential equation problems has been designed; a practical translator for the language has also been designed, and a working version of it has been constructed for a significant portion of the language. This Partial Differential Equation Language, PDEL, is outlined, and the highlights of the translator are briefly summarized.


REFERENCES

Note: OCR errors may be found in this Reference List extracted from the full text article. ACM has opted to expose the complete List rather than only correct and linked references.

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YOUNG, D. M., ANn JUNeOSA, 1VI. J. SPADE, a set of subroutines for solving elliptic and parabolic partial differential equations. Rep. P-1709, Rand Corp., Santa Monica, Calif., May 21, 1959.
 
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ENGELI, M. Design and implementation of an algebraic processor. Ph.D. Diss., Institut fiir Angewandte Mathematik der ETH, Zurich, Apr. 1966.
 
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EDGAR, D. S. Matrix inversion and iterative refinement. ILLIAC IV Doc. No. 194, Dep. Computer Sciences, U. of Illinois, Urbana, Ill., June 27, 1968.
 
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MCINTYRE, D .E . Iterative problems on meshes--the equation of state of multimaterial Eulerian hydrodynamics. ILLIAC IV Doc. No. 184. Dep. of Computer Sciences, U. of Illinois, Urbana, Ill., Apr. 1968.
 
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Quarterly Progress Report, ILUAC IV Doc. No. 203, Dep. of Computer Sciences, U. of Illinois, Urbana, Ill., Apr.-June 1968.
 
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CEA, J., NIVELET, B., SCHMIDT, L., AND TERRINE, G. Techniques Numeriques de L' Approximation Variationnelle Des Problems Elliptiques, Tome 1. Institut Blaise Pascal, Paris, Apr. 1966.
 
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CEA, J., NIVELET, B., SCHMID'I L., AND TERRINE, G. Techniques Numeriques de L' A pproximation Varialionnelle Des Problems Elliptiques, Tome 3,. Iustitut Blaise Pascal, Paris, Mar. 1967.
 
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MORRIS, S. M. AND SCHIESSER, W.E. Salem--a programming system for the simulation of systems described by partial differential equations. Proc. AFIPS 1968 Fall Joint Comput. Conf. Vol. 33, Pt. 1, Thompson Book Co., Washington, D.C., pp. 353--357.
 
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MORRIS, S.M. SALEM--A programming system for the simulation of systems described by partial differential equations. Ph.D. Diss., Lehigh U., Bethlehem, Pa., 1967.
 
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CARDENAS, A .F . A problem oriented language and a translator for partial differential equations. Ph.D. Diss., Dep. of Engineering, U. of California, Los Angeles, Calif., Dec., 1968.
 
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IBM System/360 operating system; PL/1 language specifications, Form C28--8201. IBM Systems Reference Library. 1968.
 
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TAM, W. C. Non-linear partial differential equations and equations with derivative boundary conditions: improvements to PDEL. M.S. Th. Dep. of Engineering, U. of California, Los Angeles, Mar. 1969.
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BUSSELL, B. Properties of a variable structure computer. Ph.D. Diss., Dep. of Engineering, U. of California, Los Angeles, Calif., 1962.
 
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IBM System/360 operating system, concepts and facilities, Form C28-6535. IBM Systems Reference Library.
 
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CITED BY  12

Collaborative Colleagues:
Alfonso F. Cárdenas: colleagues
Walter J. Karplus: colleagues