PDEL—a language for partial differential equations

Authors:
Alfonso F. Cárdenas;Walter J. Karplus
Affiliations:
Univ. of California, Los Angeles;Univ. of California, Los Angeles
Venue:
Communications of the ACM
Year:
1970

Citing 4
Cited 17

EULER: a generalization of ALGOL and it formal definition: Part 1

Communications of the ACM
Computer simulation—discussion of the technique and comparison of languages

Communications of the ACM
Programming Systems and Languages.

Programming Systems and Languages.
Programming Languages: History and Fundamentals

Programming Languages: History and Fundamentals

Solution functions of PDEQSOL (Partial differential EQuation SOlver language) for fluid problems

Proceedings of the 1991 ACM/IEEE conference on Supercomputing
A formal framework handling the description and implementation of multigrid algorithms

ICS '89 Proceedings of the 3rd international conference on Supercomputing
An Algorithm for the Design of Simple Precedence Grammars

Journal of the ACM (JACM)
Advanced implicit solution function of DEQSOL and its evaluation

ACM '86 Proceedings of 1986 ACM Fall joint computer conference
Software for Nonlinear Partial Differential Equations

ACM Transactions on Mathematical Software (TOMS)
TEDDY2, A Program Package for Parabolic Composite Region Problems

ACM Transactions on Mathematical Software (TOMS)
A Survey of Software for Partial Differential Equations

ACM Transactions on Mathematical Software (TOMS)
DCG - a system for automatic code generation for hyperbolic problems

Proceedings of the SIGNUM meeting on Software for partial differential equations
Continuous system simulation languages: Design principles and implementation techniques

Proceedings of the ACM SIGPLAN symposium on Very high level languages
PDEL-ID: An extension of PDEL for distributed parameter system identification

Proceedings of the ACM SIGPLAN symposium on Very high level languages
DCG: a system for automatic code generation for hyperbolic problems (abstract)

ACM SIGNUM Newsletter
Design and organization of a translator for a partial differential equation language

AFIPS '70 (Spring) Proceedings of the May 5-7, 1970, spring joint computer conference
Physical criteria in computer methods for partial differential equations

Mathematics and Computers in Simulation
Continuous-system simulation languages: A state-of-the-art survey

Mathematics and Computers in Simulation
The forsim system for automated solution of sets of implicitly coupled partial differential equations

Mathematics and Computers in Simulation
Parameter identification in models of hydrologic systems using the digital simulation language PDEL

Mathematics and Computers in Simulation
Technology for automatic generation of application programs: a pragmatic view

MIS Quarterly

Quantified Score

Hi-index	48.22

Visualization

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.